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Maths Workout
© Smart Interactive Ltd. 1
Introduction
Maths Workout is a set of maths exercises that can be used for starters, main lessons and plenaries. It is aimed at Maths lessons covering NQF Levels 1 and 2.
Maths Workout is versatile and simple to use. Teachers can teach a skill using Maths Workout to demonstrate it on an interactive whiteboard, then students can practise the skills individually on exactly the same exercises, but with new questions regenerated at the same level of differentiation.
Topics, Targets & Tasks The content is split into Topics, Targets and Tasks…
A Topic is a broad area of maths, broken down into between 1 and 5 targets. Topics are accessed
directly at www.mathsworkout.co.uk after logging in.
A Target is a specific attainment outcome, which should be achievable in one sitting. Targets are
accessed through the tabs at the top of the screen.
A Task is an individual exercise which forms part of a target. Each task is accessed through the slider bar at the bottom of each screen.
Topics can be tackled in any order. The time required to complete a topic will vary between about 20 minutes and 2 hours, depending on the topic and the ability of the student. Students can revisit each topic any number of times without repetition as the ‘Next Go’ button or ‘Reset’ button randomly generates new questions at the same level of differentiation.
Targets in each topic usually become progressively more challenging. Completion of a target is indicated by a sound and by a ‘Target Complete’ trophy. Students may attempt the tasks in any order, however it is better to attempt the tasks in numerical order, as where they naturally vary in difficulty, they have been carefully differentiated to ensure continuity of
learning. Completion of a task is indicated by a sound and the task number turning green with a tick showing above it. Some tasks can be attempted mentally, however students are advised to work with a pencil and paper where necessary, then enter their answers on screen. Where possible, it is better to use speakers or headphones to use this product, as it will be much more engaging.
These are the approximate levels for the various frameworks supported by our Maths and Numeracy product range. Each product has multiple uses and none of our products is guaranteed to cover all the content of any
course, specification, level or framework.
Framework Numeracy Warm Up
Numeracy Workout
Maths Workout
Key Stages 1 2 3 - 4
GCSE Grades - 3 - 1 9 - 2
Numeracy Certificate Entry Entry & Level 1 Level 2
Functional Skills Entry Entry & Level 1 Level 2
Scotland National 1 National 3 - 1 National 5 - 3
Age Range All Ages All Ages All Ages
All products are available to view as samples at: www.numeracywarmup.co.uk www.numeracyworkout.co.uk www.mathsworkout.co.uk
Maths Workout
© Smart Interactive Ltd. 2
Number Tasks
Topics Target 1 Target 2 Target 3 Target 4 Target 5 Total
1 Arithmetic 8 8 10 8 4 38
2 Money 8 6 5 10 10 39
3 Time 6 4 9 10 4 33
4 Place Value 8 3 10 10 3 34
5 Decimals 10 8 4 6 6 34
6 Integers 3 5 10 12 8 38
7 Factors 4 7 3 5 2 21
8 Primes 6 7 4 17
9 Multiples 11 11 11 10 11 54
10 Powers 8 3 5 5 8 29
11 Order of Operations 7 4 4 15
12 Rounding & Estimation 2 12 12 12 5 43
13 Number Machines 9 10 10 9 10 48
14 Number Problems & Puzzles 10 10 6 2 2 30
15 Language Tasks & Quizzes 1 10 5 5 10 1 31
16 Using a Calculator 4 4 5 3 3 19
17 Fractions 1 10 9 8 8 6 41
18 Fractions 2 8 8 10 10 15 51
19 Percentages 1 14 6 10 6 10 46
20 Percentages 2 8 8 10 8 13 47
21 Ratio 11 5 10 8 3 37
22 Proportion 1 7 8 3 12 11 41
23 Indices 1 6 8 8 6 5 33
24 Surds 1 10 10 12 12 10 54
25 Surds 2 10 10 8 7 10 45
26 Standard Form 11 6 4 7 6 34
27 Language Tasks & Quizzes 2 10 5 5 9 2 31
Total Number of Tasks 983
Maths Workout
© Smart Interactive Ltd. 3
Geometry & Measures Tasks
Topic Target 1 Target 2 Target 3 Target 4 Target 5 Total
1 Measurement 1 6 6 9 8 10 39
2 Measurement 2 3 12 10 7 12 44
3 Line Symmetry 11 11 11 10 11 54
4 Rotational Symmetry 7 6 6 6 25
5 Plane Symmetry 3 4 7 14
6 Shapes 5 6 2 13
7 Solids 5 10 7 8 7 37
8 Angles 11 7 9 10 37
9 Angles in a Polygon 6 7 5 18
10 Perimeter 6 6 12
11 Area 4 10 6 7 10 37
12 Capacity & Volume 14 4 10 3 10 41
13 Volume 5 4 3 5 17
14 Surface Area 4 4 2 5 15
15 Language Tasks & Quizzes 1 13 7 7 8 7 42
16 Scale Drawings 4 6 7 7 6 30
17 Loci 4 4 4 12
18 Speed, Distance & Time 12 7 8 10 8 45
19 Transformations 1 6 11 9 12 14 52
20 Transformations 2 14 9 12 12 12 59
21 Similarity 9 9 14 7 7 46
22 Pythagoras 8 7 7 11 9 42
23 Trigonometry 1 6 12 12 12 6 48
24 Trigonometry 2 10 8 9 9 10 46
25 Circle Geometry 6 7 10 12 12 47
26 Language Tasks & Quizzes 2 12 7 7 8 7 41
Total Number of Tasks 913
Maths Workout
© Smart Interactive Ltd. 4
Statistics & Probability Tasks
Topic Target 1 Target 2 Target 3 Target 4 Target 5 Total
1 Tables & Diagrams 1 12 12 9 12 11 56
2 Tables & Diagrams 2 13 12 12 9 10 56
3 Mean, Median, Mode & Range 7 6 10 8 12 43
4 Pictograms 5 5 5 7 22
5 Bar Charts 10 5 7 7 5 34
6 Line Graphs 8 10 10 4 8 40
7 Scatter Graphs 3 3 2 8
8 Pie Charts 4 7 10 10 7 38
9 Stem & Leaf Diagrams 7 3 10
10 Introduction to Probability 7 12 7 11 7 44
11 Probability Lab 1 2 1 5 12 21
12 Language Tasks & Quizzes 1 13 6 6 9 7 41
13 Data Handling Theory 8 8 7 10 3 36
14 Frequency Tables 10 5 8 5 10 38
15 Frequency Charts & Polygons 3 6 6 6 6 27
16 Histograms 5 12 8 10 12 47
17 Measures of Spread 1 8 6 10 10 10 44
18 Measures of Spread 2 12 10 8 10 8 48
19 Probability 1 10 7 10 6 7 40
20 Probability 2 10 12 7 7 12 48
21 Language Tasks & Quizzes 2 11 5 5 8 7 36
Total Number of Tasks 777
Maths Workout
© Smart Interactive Ltd. 5
Algebra & Problem Solving Tasks
Topic Target 1 Target 2 Target 3 Target 4 Target 5 Total
1 Writing Algebra 1 7 6 5 7 10 35
2 Writing Algebra 2 10 8 9 10 8 45
3 Like Terms 9 12 9 8 12 50
4 Expanding Brackets 10 10 10 7 10 47
5 Factorising 10 10 10 6 8 44
6 Solving Equations 1 11 7 6 4 8 36
7 Algebraic Modelling 5 4 5 3 7 24
8 Substitution 5 4 5 3 17
9 Formulae 7 5 5 5 7 29
10 Problem Solving Theory 1 1 1 1 4
11 Spotting Patterns 7 10 12 5 12 46
12 Problems & Puzzles 1 10 10 9 12 8 49
13 Language Tasks & Quizzes 1 10 5 5 9 7 36
14 Sequences 1 4 6 10 6 6 32
15 Sequences 2 6 7 5 3 5 26
16 Solving Equations 2 10 8 11 12 8 49
17 Straight Lines 1 7 7 5 6 11 36
18 Straight Lines 2 7 3 4 4 5 23
19 Simultaneous Equations 10 8 8 11 11 48
20 Changing the Subject of a Formula 8 7 7 5 5 32
21 Quadratics 1 7 7 5 5 7 31
22 Quadratics 2 7 9 8 8 4 36
23 Indices 2 4 6 8 6 7 31
24 Algebraic Fractions 5 7 6 7 25
25 Inequalities 8 5 7 2 22
26 Proportion 2 4 5 4 4 17
27 Problems & Puzzles 2 10 11 9 9 8 47
28 Language Tasks & Quizzes 2 16 7 8 12 7 50
Total Number of Tasks 967
Total Number of Tasks Currently in Maths Workout 3640
Maths Workout - Number
© Smart Interactive Ltd. 6
Number Topics
Topic Target 1 Target 2 Target 3 Target 4 Target 5
1 Arithmetic
Quick response task: simple
addition
Add two 3 or 4 digit whole
numbers
Puzzle: magic squares
Quick response task: simple
subtraction and addition
Subtract two 3 or 4 digit
whole numbers
Puzzle: number triangles
Quick response task: simple
multiplication
Recall multiplication facts up
to 13 x 13
Multiply up to a 4-digit by a
3-digit whole number
Quick response task: simple
division
Recall division facts up to
169/13 = 13
Short and long division, no
remainder
Quick response task: mixed
questions on whole numbers
Mixed questions in context
2 Money
Find the total of a set of
coins
Solve problems with coin
totals
Identify a missing coin from
a total
Identify the coins required to
make a total
Calculate the change from a
given bill
Calculate a simple bill and
the change
Solve shopping problems
3 Time Convert between minutes
and seconds
Convert between hours,
minutes and seconds
Convert between fractional
hours, minutes and seconds
Calculate duration, start and
finish times: 12h clock
Calculate duration, start and
finish times: 12h and 24h
clock
4 Place Value
Convert numbers in words to
digits
Convert numbers in digits to words
Identify the place value of
digits in whole numbers and
decimals
Sort whole numbers up to
10000 and numbers with up
to 3 decimal places
Multiply and divide whole
and decimal numbers by 10,
100 and 1000
Solve problems using place
value: guess the number in
as few clues as possible
5 Decimals
Add and subtract numbers with up to 3 decimal places
Multiply a whole number by a number with up to 2
decimal places
Multiply a whole number by a number with up to 3
decimal places
Multiply numbers with up to 3 decimal places
Divide a number with up to 3 decimal places by a whole
number and by a number
with up to 2 decimal places;
exact answers
6 Integers
Sort positive and negative
temperatures on
thermometers
Sort positive and negative
numbers with and without
context
Calculate original
temperature, final
temperature and change in
temperature
Add & subtract negative
numbers
Puzzles: magic squares and
number triangles
Use four rules with negative
numbers, positive and
negative decimals
Quick response task:
negative numbers
7 Factors List the factors of a number
by identifying factor pairs
List the factors of a number
by identifying factor pairs or
otherwise
Identify common factors and
the HCF of 2 or 3 numbers
Identify common factors and
the HCF of 2 or 3 numbers
Find the HCF of 2 or 3
numbers
8 Primes
Understand that a prime
number has exactly 2 distinct factors; Identify and
list prime numbers up to 100
Express a number as a
product of its prime factors
Express a number as a
product of its prime factors
9 Multiples Recognise patterns of
multiples in a 10 x 10
number grid
Enter missing numbers in
lists of multiples of 2 to 12
Quick response task: identify
multiples of 2 to 12
Identify non-multiples,
multiples and common
multiples of 2 or 3 numbers
Identify the LCM of 2 or 3
numbers
10 Powers
Calculate and identify
squares
Calculate and identify square
roots and squares
Calculate and identify cubes
and cube roots
Solve problems
Calculate and identify cubes
and cube roots
Solve problems
Write, expand and calculate
positive, whole powers
11 Order of Operations Understand and use the
order of operations with two
operations
Evaluate calculations with 2
or 3 operations with brackets
and powers
Evaluate calculations with 3
or more operations with
brackets and powers
Maths Workout - Number
© Smart Interactive Ltd. 7
Number Topics
Topic Target 1 Target 2 Target 3 Target 4 Target 5
12 Rounding & Estimation
Distinguish between exact
and approximate numbers
Round numbers up to
100,000.00 to the nearest whole number, 10, 100 and
1000
Round numbers up to
100.00000 to 1, 2, 3 and 4 decimal places
Round large and small
numbers to 1, 2 and 3 significant figures
Estimate by rounding to 1sf
and otherwise
Estimate by educated guess
13 Number Machines
Complete input and output
values for a number
machine; positive integers
Complete missing elements
in a number machine;
positive integers
Solve problems with positive
integers
Complete missing elements
in a number machine;
integers
Solve problems with integers
Complete input and output
values for a number
machine, including
multiply/dividing by a
negative
Complete missing elements
in a number machine,
including multiply/dividing
by a negative
Solve problems with integers
14 Number Problems & Puzzles
Solve mixed questions on
the properties of number in
the form of a bingo game
Solve a magic square
Solve a problem in a magic
square
Solve number problems and
puzzles
Solve number problems and
puzzles
Solve number problems and
puzzles
15 Language Tasks & Quizzes 1 Match number terms to their
definitions
Engage with the language of
number through wordsearch
puzzles
Engage with the language of
number through crossword
puzzles
Enter missing words in
statements concerning
number terms
Quizzes: Mixed questions in
context on Topics 1 to 9
16 Using a Calculator
Use a calculator to do a
single stage calculation on
numbers with 1 decimal place
Use a calculator to do a
single stage calculation on
numbers with 2 decimal places
Use a calculator to solve
single stage problems in
word form including some contexts
Use a calculator to solve 2-
stage and multi-stage
problems including some in context; follow order of
operations
Use a calculator to solve
multi-stage problems
involving brackets and indices; follow order of
operations
17 Fractions 1
Identify the fraction of a
shape which is coloured;
simplest form not required
Colour the given fraction of
a shape
Complete equivalent
fractions
Compare the value of
fractions
Identify equivalent fractions
Reduce a fraction to its
simplest form
Convert between a mixed
number and an improper
fraction
Calculate fractional part of
a value
18 Fractions 2
Convert between a fraction
and a decimal; compare
fractions and decimals
Convert between a
recurring decimal and a
fraction in simplest form
Add fractions and mixed
numbers, expressing in
simplest form
Subtract fractions and
mixed numbers, expressing
in simplest form
Multiply & divide fractions
and mixed numbers,
expressing in simplest
form; Solve mixed
problems involving fractions
19 Percentages 1
Convert between fractions,
decimals and percentages; Compare the value of
fractions, decimals &
percentages
Identify the percentage of a
shape which is shaded; Shade in the correct
percentage of a given
shape
Calculate a percentage of a
quantity without a calculator
Calculate a percentage of
quantity using a calculator
Calculate simple interest
20 Percentages 2
Express one quantity as a
percentage of another
Calculate the actual change
and new value for a
percentage change
Calculate the percentage
change given original and
new value
Calculate the original value
after a percentage change
(reverse percentages)
Calculate compound
interest year-by-year and
by using a multiplying
factor
21 Ratio Simplify a ratio Identify the ratio of shaded
area to unshaded area in a
shape
Share an amount in a given
ratio
Solve mixed ratio questions
in context
Use a map scale to
calculate real and map
distances
Maths Workout - Number
© Smart Interactive Ltd. 8
Number Topics
Topic Target 1 Target 2 Target 3 Target 4 Target 5
22 Proportion 1
Solve simple direct
proportion questions
Interpret and draw line
graphs of direct proportion
Solve simple indirect
proportion questions
Distinguish between direct
and indirect proportion
Solve questions on rates
and best buys
Convert between different
quantities using conversion factors and graphs
including currency
exchange rates
23 Indices 1
Express in index form
(whole number indices);
expand and evaluate whole
number indices
Express in index form
(negative indices); evaluate
the reciprocal and other
negative indices
Express in index form
(fractional and negative
indices); evaluate fractional
and negative indices
Use the rules of indices to
multiply, divide & simplify
Use the rules of indices to
add, subtract & simplify
24 Surds 1
Revise square numbers
Express a whole number as
a product of 2 factors with
1 factor being square
Understand a surd
Simplify a surd
Express a surd expression
as a single surd
Simplify a product of surds Simplify a sum or difference
of surds
Expand and simplify a surd
expression in brackets
25 Surds 2 Simplify an expression with
a surd in the denominator
Rationalise the denominator Simplify an expression by
rationalising the
denominator
Simplify an expression by
rationalising the
denominator
Simplify an expression by
rationalising the
denominator
26 Standard Form Convert numbers greater
than 1 between ordinary notation and standard form
Convert numbers less than
1 from ordinary notation to standard form
Convert numbers less than
1 from standard form to ordinary notation
Multiply and divide
numbers in standard form without a calculator
Add and subtract numbers
in standard form without a calculator
27 Language Tasks & Quizzes 2
Match number terms to
their definitions
Engage with the language
of number through
wordsearch puzzles
Engage with the language
of number through
crossword puzzles
Enter missing words in
statements concerning
number terms
Quizzes: Mixed questions
on Topics 1 to 9
Maths Workout - Number
© Smart Interactive Ltd. 9
Topic 1 - Arithmetic
Target 1 Target 2 Target 3 Target 4 Target 5
Quick response task: simple addition
Add two 3 or 4 digit whole numbers
Puzzle: magic squares
Quick response task: simple
subtraction and addition
Subtract two 3 or 4 digit whole
numbers
Puzzle: number triangles
Quick response task: simple
multiplication
Recall multiplication facts up to 13 x
13
Multiply up to a 4-digit by a 3-digit
whole number
Quick response task: simple division
Recall division facts up to 169/13 = 13
Short and long division, no remainder
Quick response task: mixed questions
on whole numbers
Mixed questions in context
1. Speed response; identify sums that
equal 10,12,15 or 20
1. Speed response; identify
subtractions that equal 5, 10, 15 or
20
1. Speed response; identify the
multiplications that equal 24
1. Speed response; identify the
divisions that equal 2
1. Speed response; complete
questions involving 4 rules with whole
numbers
2. Speed response; identify sums that
equal 13,14,16,17,18 or 19
2. Speed response; identify
subtractions that equal
4,6,7,8,9,11,12,13,14,16,17,18,19
2. Speed response; identify the
multiplications that equal 30
2. Speed response; identify the
divisions that equal 3
2. Speed response; complete missing
elements in questions involving 4
rules
3. Speed response; identify sums
from 21 to 49
3. Speed response; identify
subtractions from 21 to 30
3. Speed response; identify the
multiplications that equal 48
3. Speed response; identify the
divisions that equal 4
3. Complete questions in context
involving 4 rules
4. Add a 2-digit whole number or a 3-
digit whole number to a 3-d whole
number
4. Subtract a 2-digit whole number
from a 3-digit whole number
4. Complete a grid of simple
multiplications up to 12x12
4. Complete a grid of simple divisions
from up to the 10 times table
4. Complete questions in context
involving 4 rules, including one puzzle
5. Add two 4-digit whole numbers 5. Subtract a 3-digit whole number
from a 4-digit whole number
5. Complete a grid of simple
multiplications up to 13x13
5. Complete a grid of simple divisions
from up to the 13 times table
6. Complete 3 x 3 magic squares
given the total
6. Complete number triangles; 3 base
numbers, all < 10
6. Complete a multiplication grid;
10x10; standard layout
6. Divide a 3-digit number by a
single-digit number; whole answer
7. Complete 3 x 3 magic squares 7. Complete number triangles; 3 base numbers, all < 25
7. Complete a multiplication grid; 10x10; random layout
7. Divide a 3-digit number by a 2-digit number; whole answer
8. Complete 4 x 4 magic squares 8. Complete number triangles; 4 base numbers, all < 50
8. Multiply a single-digit number or a 2-digit number by a 3-digit number
8. Divide a 3 or 4-digit number by a 2-digit number; whole answer
9. Multiply a single-digit number or a 2-digit number by a 4-digit number
10. Multiply a 3-digit number by a 4-
digit number
Maths Workout - Number
© Smart Interactive Ltd. 10
Topic 2 - Money
Target 1 Target 2 Target 3 Target 4 Target 5
Find the total of a set of coins
Solve problems with coin totals
Identify a missing coin from a total Identify the coins required to make a
total
Calculate the change from a given bill Calculate a simple bill and the change
Solve shopping problems
1. Speed response: Find the total of 3
coins in pence
1. Identify a missing coin from a total 1. Speed response: Identify the coins
required to make a total
1. Calculate the correct change from
20p
1. Calculate the total cost in pence
and the correct change from £1
2. Speed response: Find the total of 4
coins in pence
2. Identify a missing coin from a total 2. Speed response: Identify the coins
required to make a total
2. Speed response: Identify an amount and the correct change from
20p
2. Calculate the total cost in pence
and the correct change from £2
3. Speed response: Find the total of 5
coins in pence
3. Identify a missing coin from a total 3. Speed response: Identify the coins
required to make a total
3. Calculate the correct change from
50p
3. Calculate the total cost in pence
and the correct change from £5
4. Speed response: Find the total of 4
coins in £’s
4. Identify one or two missing coins
from a total
4. Speed response: Identify the coins
required to make a total
4. Speed response: Identify an
amount and the correct change from
50p
4. Calculate the total cost in pence
and the correct change from £10
5. Speed response: Find the total of 5
coins in £’s
5. Identify one or two missing coins
from a total
5. Speed response: Identify the coins
required to make a total
5. Calculate the correct change from
£1
5. Calculate the total cost in pence
and the correct change from £20
6. Solve problems on coin totals 6. Identify one or two missing coins
from a total
6. Speed response: Identify an amount and the correct change from
£1
6. Solve problems on total cost and
change given
7. Solve problems on coin totals 7. Calculate the correct change from
£2
7. Solve problems on total cost and
change given
8. Solve problems on coin totals 8. Speed response: Identify an amount and the correct change from
£2
8. Solve problems on total cost and
change given
9. Calculate the correct change from
£5
9. Solve problems on total cost and
change given
10. Speed response: Identify an amount and the correct change from
£5
10. Solve problems on total cost and
change given
Maths Workout - Number
© Smart Interactive Ltd. 11
Topic 3 - Time
Target 1 Target 2 Target 3 Target 4 Target 5
Convert between minutes and seconds Convert between hours, minutes and
seconds
Convert between fractional hours,
minutes and seconds
Calculate duration, start and finish
times: 12h clock
Calculate duration, start and finish
times: 12h and 24h clock
1. Convert minutes to seconds 1. Convert between hours and
minutes
1. Convert decimal fractions of a
minute to seconds
1. Calculate finish time given start
time and duration: all am
1. Complete a table of finish times,
durations and start times: 24h clock,
same day start and finish
2. Convert seconds to minutes 2. Convert between minutes & hours
and minutes
2. Convert seconds to decimal
fractions of a minute
2. Calculate duration given start time
and finish time: all am
2. Complete a table of finish times,
durations and start times: 24h clock
3. Convert between minutes and
seconds
3. Convert hours, minutes and
seconds to seconds
3. Convert between decimal fractions
of a minute and seconds
3. Calculate start time given duration
and finish time: all am
3. Solve problems on start times,
finish times and duration
4. Convert minutes and seconds to
seconds
4. Convert between seconds and
hours, minutes and seconds
4. Convert fractions of a minute to
seconds
4. Complete a table of finish times,
durations and start times: all am
4. Solve problems on start times,
finish times and duration
5. Convert seconds to minutes and
seconds
5. Convert seconds to fractions of a
minute
5. Calculate finish time given start
time and duration
6. Convert between seconds &
minutes and seconds
6. Convert between fractions of a
minute and seconds
6. Calculate duration given start time
and finish time
7. Convert between fractions of an
hour and minutes
7. Calculate start time given duration
and finish time
8. Convert between decimals fractions
of an hour and minutes
8. Complete a table of finish times,
durations and start times
9. Solve problems with fractions of
hours, minutes and seconds in context
9. Solve problems with start times,
finish times and duration
10. Solve problems with fractions of hours and minutes, start times, finish
times and duration
Maths Workout - Number
© Smart Interactive Ltd. 12
Topic 4 - Place Value
Target 1 Target 2 Target 3 Target 4 Target 5
Convert numbers in words to digits
Convert numbers in digits to words
Identify the place value of digits in
whole numbers and decimals
Sort whole numbers up to 10000 and
numbers with up to 3 decimal places
Multiply and divide whole and decimal
numbers by 10, 100 and 1000
Solve problems using place value:
guess the number in as few clues as possible
1. Write a 2-digit or 3-digit whole number in words as digits
1. Identify the place value of a digit in a whole number (up to 3-digits)
1. Sort positive integers up to 100 1. Multiply a single digit whole number by 10, 100 or 1000
1. Problem solving; identify a 3-digit whole number in as few clues as
possible
2. Write a 3-digit whole number in
words as digits (zero in tens column)
2. Identify the place value of a digit in
a whole number (up to 4-digits)
2. Sort positive integers up to 1000 2. Multiply a 2-digit whole number by
10, 100 or 1000
2. Problem solving; identify a 3-digit
whole number in as few clues as
possible
3. Write a 4-digit whole number in
words as digits
3. Identify the place value of a digit in
a decimal number (up to 3 places of
decimals)
3. Sort positive integers up to 1000;
same 3 digits used throughout
3. Multiply a 3-digit whole number by
10, 100 or 1000
3. Problem solving; identify a 4 or 5-
digit whole number in as few clues as
possible
4. Write a 4-digit whole number in
words as digits (zero in tens or
hundreds column)
4. Sort positive integers up to 10000;
same 4 digits used throughout
4. Multiply a positive number < 1 with
1 dp by 10, 100 or 1000
5. Write a 2-digit or 3-digit whole
number in digits as words
5. Sort positive numbers with 1 dp up
to 10
5. Multiply a positive number < 1 with
1 to 3 places of decimals by 10, 100
or 1000
6. Write a 3-digit whole number in
digits as words (zero in tens column)
6. Sort positive numbers with 1 dp up
to 100; same 3 digits used throughout
6. Divide a 2-digit whole number by
10 or 100
7. Write a 4-digit whole number in
digits as words
7. Sort positive numbers with 2 places
of decimals up to 10
7. Divide a 2-digit whole number by
10, 100 or 1000
8. Write a 4-digit whole number in
digits as words (zero in tens or hundreds column)
8. Sort positive numbers with 2 places
of decimals up to 10; same 3 digits used throughout
8. Divide a single-digit whole number
by 10, 100 or 1000
9. Sort positive numbers with 3 places of decimals up to 10; same 4 digits
used throughout
9. Divide a number < 1, with up to 2 places of decimals by 10, 100 or 1000
10. Sort positive numbers with up to 3
places of decimals up to 10; same
digit used throughout with zero
10. Divide and multiply a number <
10 with up to 3 places of decimals by
10, 100 or 1000
Maths Workout - Number
© Smart Interactive Ltd. 13
Topic 5 - Decimals
Target 1 Target 2 Target 3 Target 4 Target 5
Add and subtract numbers with up to
3 decimal places
Multiply a whole number by a number
with up to 2 decimal places
Multiply a whole number by a number
with up to 3 decimal places
Multiply numbers with up to 3 decimal
places
Divide a number with up to 3 decimal
places by a whole number and by a number with up to 2 decimal places;
exact answers
1. Add 2 numbers < 100 with 1 dp 1. Multiply a single-digit whole
number by a number < 10 with 1 dp
1. Multiply a single digit whole
number by a number < 10 with 3
places of decimals
1. Multiply two numbers < 10 with 1
dp
1. Divide a number < 1000 with up to
4 digits and up to 2 places of decimals
by a whole number < 100
2. Add 2 numbers < 10 with 2 places
of decimals
2. Multiply a multiple of 10 by a
number < 10 with 1 dp
2. Multiply a multiple of 10 by a
number < 10 with 3 places of
decimals
2. Multiply a number < 10 with 1 dp
by a number less than 10 with 2
places of decimals
2. Divide a number < 1000 with up to
5 digits and up to 2 places of decimals
by a whole number < 100
3. Add 2 numbers < 10 with 3 places
of decimals
3. Multiply a 2-digit whole number by
a number < 10 with 1 dp
3. Multiply a multiple of 100 by a
number < 10 with 3 places of
decimals
3. Multiply two numbers < 10 with 2
dp
3. Divide a number < 1000 with up to
6 digits and up to 3 places of decimals
by a whole number < 100
4. Subtract 2 numbers < 100 with 1
dp; positive answer
4. Multiply a multiple of 100 by a
number < 10 with 1 dp
4. Mixed examples from tasks 1 to 3
and from Target 2; multiply a whole
number < 10000 by a number with up
to 3 places of decimals
4. Multiply a number < 10 with 1 dp
by a number less than 1 with 3 places
of decimals
4. Divide a number < 100 with up to 3
digits and 1 dp by a number < 10 with
1 dp
5. Subtract 2 numbers < 10 with 2
places of decimals; positive answer
5. Multiply a single digit whole
number by a number < 1 with 2 places of decimals
5. Multiply a number < 1 with 2
places of decimals by a number less than 1 with 3 places of decimals
5. Divide a number < 100 with up to 4
digits and 2 places of decimals by a number < 10 with 1 dp
6. Subtract 2 numbers < 10 with 3 places of decimals; positive answer
6. Multiply a multiple of 10 by a number < 10 with 2 places of
decimals
6. Mixed examples from tasks 1 to 5; multiply a number with up to 3
decimal places by a number with up
to 3 decimal places
6. Divide a number < 1000 with up to 4 digits and 5 places of decimals by a
number < 10 with 2 places of
decimals
7. Complete number squares; 3x3
positive numbers < 12 with 1 dp
7. Multiply a 2-digit whole number by
a number < 1 with 2 places of
decimals
8. Complete number squares; 4x4
positive numbers < 12 with 1 dp
8. Multiply a multiple of 100 by a
number < 1 with 2 places of decimals
9. Complete number triangles; 3
numbers along the base; positive
numbers < 20 with 1 dp
10. Complete number triangles; 4
numbers along the base; positive
numbers < 12 with 1 dp
Maths Workout - Number
© Smart Interactive Ltd. 14
Topic 6 - Integers
Target 1 Target 2 Target 3 Target 4 Target 5
Sort positive and negative
temperatures on thermometers
Sort positive and negative numbers
with and without context
Calculate original temperature, final
temperature and change in temperature
Add & subtract negative numbers
Puzzles: magic squares and number triangles
Use four rules with negative numbers,
positive and negative decimals
Quick response task: negative
numbers
1. Sort positive temperatures on a
thermometer
1. Sort positive and negative
temperatures involving zero, 2
negatives and 2 positives
1. Calculate the final temp. given the
original temp. and the rise (all
positive)
1. Subtract a positive 1-digit or 2-digit
integer from a positive 1- digit integer
1. Game: Identify calculations with
negative answers
2. Sort positive and negative
temperatures on a thermometer
2. Sort positive and negative
temperatures involving 3 negatives
and 2 positives
2. Calculate the rise given the original
temp. and the final temp. (all
positive)
2. Add a positive 1-digit integer to a
positive 1-digit or 2-digit integer
2. Complete missing entries in
additions and subtractions of integers
3. Sort commonly known
temperatures on a thermometer
3. Sort negative temperatures 3. Calculate the original temp. given
the rise and the final temp. (all
positive)
3. Subtract a 1-digit or 2-digit positive
integer from a 1-digit integer
3. Add and subtract positive and
negative numbers with 1 dp
4. Sort integers: 3 negatives and 2
positives and/or one positive and zero
4. Calculate the final temp. given the
original temp. and the rise (negative
start)
4. Add a positive 1-digit integer to a
1-digit or 2-digit negative integer
4. Complete missing entries in
additions and subtractions of positive
and negative numbers with 1 dp
5. Sort integers: 4 negatives and 1
positives
5. Calculate the rise given the original
temp. and the final temp. (negative
start)
5. Add a negative single digit integer
to a negative single or 2-digit integer
5. Multiply 1-digit integers
6. Calculate the original temp. given
the rise and the final temp. (negative start)
6. Subtract a negative 1-digit or 2-
digit integer from a positive 1-digit integer
6. Divide 1-digit and 2-digit integers
by 1- digit integers
7. Calculate the final temp. given the
original temp. and the fall (positive or
negative start)
7. Subtract a negative 1-digit or 2-
digit integer from a negative 1-digit
integer
7. Multiply integers by numbers with
up to 1 dp
8. Calculate the fall given the original
temp. and the final temp. (positive or
negative start)
8. Mixed additions and subtractions of
integers
8. Divide integers by numbers with up
to 1 dp; divide numbers with up to 1
dp by integers
9. Calculate the original temp. given
the fall and the final temp. (positive or
negative start)
9. Magic Square puzzles with integers
3 x 3
10. Calculate the rise or fall given the
original temp. and the final temp
(positive or negative start)
10. Magic Square puzzles with
integers 4 x 4
11. Number Triangle puzzles with
integers; 3 along base
12. Number Triangle puzzles with
integers; 4 along base
Maths Workout - Number
© Smart Interactive Ltd. 15
Topic 7 - Factors
Target 1 Target 2 Target 3 Target 4 Target 5
List the factors of a number by
identifying factor pairs
List the factors of a number by
identifying factor pairs or otherwise
Identify common factors and the HCF
of 2 or 3 numbers
Identify common factors and the HCF
of 2 or 3 numbers
Find the HCF of 2 or 3 numbers
1. Identify and list the factors of 1,2,3
and 4 by identifying factor pairs
1. Identify and list the factors of 27,
29 and 30 by identifying factor pairs
1. Find the HCF of two numbers by
identifying the greatest factor in both lists of factors; 4 and 6; 6 and 8; 4
and 8
1. Complete a Venn diagram of factors
and thereby find the HCF of 20 and 24
1. Find the HCF of two numbers < 200
2. Identify and list the factors of 5,6,8
and 9 by identifying factor pairs
2. Identify and list the factors of 32,
33,40 and 43 by identifying factor
pairs
2. Find the HCF of two numbers by
identifying the greatest factor in both
lists of factors; 8 and 12; 5 and 10; 6
and 9
2. Complete a Venn diagram of factors
and thereby find the HCF of 24 and 36
2. Find the HCF of two 2-digit
numbers and up to two 3-digit
numbers
3. Identify and list the factors of
10,12,15 and 16 by identifying factor
pairs
3. Identify and list the factors of 36
and 48 by identifying factor pairs
3. Find the HCF of two numbers by
identifying the greatest factor in both
lists of factors; 12 and 16; 10 and 15;
16 and 24
3. Complete a Venn diagram of factors
and thereby find the HCF of 36 and 48
4. Identify and list the factors of
18,20,21 and 24 by identifying factor
pairs
4. Identify and list the factors of 72
and 80 by identifying factor pairs
4. Complete a Venn diagram of factors
and thereby find the HCF of 30, 32
and 48
5. Identify and list the factors of 120
by identifying factor pairs
5. Complete a Venn diagram of factors
and thereby find the HCF of 48, 64 and 72
6. Identify and list the factors of numbers up to 100
7. Identify and list the factors of 2-
digit or 3-digit numbers
Maths Workout - Number
© Smart Interactive Ltd. 16
Topic 8 - Primes
Target 1 Target 2 Target 3
Understand that a prime number has
exactly 2 distinct factors; Identify and list prime numbers up to 100
Express a number as a product of its
prime factors
Express a number as a product of its
prime factors
1. Identify and list the factors of 5,13,17 and 23 by identifying factor
pairs
1. Express 20 as a product of its prime factors, by completing a factor
tree
1. Express a single-digit and 2-digit number as a product of its prime
factors
2. Identify and list the prime numbers
< 100
2. Express 18 and 28 as a product of
their prime factors, by completing a
factor tree
2. Express a 2-digit and 3-digit
number as a product of its prime
factors
3. Speed response; distinguish
between prime numbers and non-
prime numbers; all numbers < 20
3. Express 40 and 42 as a product of
their prime factors, by completing a
factor tree
3. Express a 3-digit and 4-digit
number as a product of its prime
factors
4. Speed response; distinguish
between prime numbers and non-
prime numbers; all numbers < 50
4. Express 54 and 60 as a product of
their prime factors, by completing a
factor tree
4. Express a 3-digit and 4-digit
number as a product of its prime
factors (Choose number of factors)
5. Speed response; distinguish
between prime numbers and non-
prime numbers; all numbers < 100
5. Express 32 and 72 as a product of
their prime factors, by completing a
factor tree
6. Speed response; distinguish
between prime numbers and non-
prime numbers; all numbers < 100
6. Express 120 and 200 as a product
of their prime factors, by completing a
factor tree
7. Express 216 and 1000 as a product of their prime factors, by completing a
factor tree
Maths Workout - Number
© Smart Interactive Ltd. 17
Topic 9 - Multiples
Target 1 Target 2 Target 3 Target 4 Target 5
Recognise patterns of multiples in a
10 x 10 number grid
Enter missing numbers in lists of
multiples of 2 to 12
Quick response task: identify
multiples of 2 to 12
Identify non-multiples, multiples and
common multiples of 2 or 3 numbers
Identify the LCM of 2 or 3 numbers
1. Identify the multiples of 2 on a
10x10 multiplication grid
1. Enter missing numbers in a list of
multiples of 2
1. Quick response: Identify the
multiples of 2
1. Identify non-multiples and common
multiples of 2 and 3 by completing a Venn diagram
1. List the first 10 multiples of 1,2,3,5
and 10
2. Identify the multiples of 3 on a
10x10 multiplication grid
2. Enter missing numbers in a list of
multiples of 3
2. Quick response: Identify the
multiples of 2
2. Identify non-multiples and common
multiples of 2 and 5 by completing a
Venn diagram
2. List the first 10 multiples of 4,6,7,8
and 9
3. Identify the multiples of 4 on a
10x10 multiplication grid
3. Enter missing numbers in a list of
multiples of 5
3. Quick response: Identify the
multiples of 3
3. Identify non-multiples and common
multiples of 3 and 4 by completing a
Venn diagram
3. List the first 10 multiples of
11,12,15,20 and 50
4. Identify the multiples of 5 on a
10x10 multiplication grid
4. Enter missing numbers in a list of
multiples of 10
4. Quick response: Identify the
multiples of 4
4. Identify non-multiples and common
multiples of 3 and 5 by completing a
Venn diagram
4. Identify the LCM by identifying the
smallest common entry in 2 lists of
multiples: 2,3 : 3,4 : 3,6
5. Identify the multiples of 6 on a
10x10 multiplication grid
5. Enter missing numbers in a list of
multiples of 4
5. Quick response: Identify the
multiples of 5
5. Identify non-multiples and common
multiples of 3 and 7 by completing a
Venn diagram
5. Identify the LCM by identifying the
smallest common entry in 2 lists of
multiples: 4,8 : 6,8 : 4,10
6. Identify the multiples of 7 on a
10x10 multiplication grid
6. Enter missing numbers in a list of
multiples of 6
6. Quick response: Identify the
multiples of 6
6. Identify non-multiples and common
multiples of 4 and 5 by completing a
Venn diagram
6. Identify the LCM by identifying the
smallest common entry in 2 lists of
multiples: 10,15 : 6,10 : 6,9
7. Identify the multiples of 8 on a
10x10 multiplication grid
7. Enter missing numbers in a list of
multiples of 7
7. Quick response: Identify the
multiples of 7
7. Identify non-multiples and common
multiples of 2, 3 and 5 by completing a Venn diagram
7. Identify the LCM of 2 numbers < 12
8. Identify the multiples of 9 on a 10x10 multiplication grid
8. Enter missing numbers in a list of multiples of 8
8. Quick response: Identify the multiples of 8
8. Identify non-multiples and common multiples of 3, 4 and 5 by completing
a Venn diagram
8. Identify the LCM of 2 numbers < 20
9. Identify the multiples of 10 on a
10x10 multiplication grid
9. Enter missing numbers in a list of
multiples of 9
9. Quick response: Identify the
multiples of 9
9. Identify non-multiples and common
multiples of 2, 3 and 7 by completing
a Venn diagram
9. Identify the LCM of 3 numbers < 12
10. Identify the multiples of 11 on a
10x10 multiplication grid
10. Enter missing numbers in a list of
multiples of 11
10. Quick response: Identify the
multiples of 10
10. Identify non-multiples and
common multiples of 3, 4 and 7 by
completing a Venn diagram
10. Identify the LCM of 2 single-digit
of 2-digit numbers (free choice or
lucky dip)
11. Identify the multiples of 12 on a
10x10 multiplication grid
11. Enter missing numbers in a list of
multiples of 12
11. Quick response: Identify the
multiples of 11
11. Identify the LCM of 3 single-digit
of 2-digit numbers (free choice or
lucky dip)
12. Quick response: Identify the
multiples of 12
Maths Workout - Number
© Smart Interactive Ltd. 18
Topic 10 - Powers
Target 1 Target 2 Target 3 Target 4 Target 5
Calculate and identify squares Calculate and identify square roots
and squares
Calculate and identify cubes and cube
roots
Solve problems
Calculate and identify cubes and cube
roots
Solve problems
Write, expand and calculate positive,
whole powers
1. Enter the first ten squares numbers 1. Enter the first ten square roots 1. Enter the first ten cube numbers 1. Identify which numbers are both square and cube by completing a
Venn diagram of square and cube
numbers
1. Expand powers of 10: powers 2 to 7
2. Enter the missing numbers in
straightforward square number
calculations: 1-10
2. Enter the missing numbers in
straightforward square root
calculations: 1-10
2. Enter the missing numbers in
straightforward cube number
calculations: 1-10
2. Enter the first ten cube roots 2. Expand powers of 2: powers 2 to 7
3. Speed response: Identify the first
10 square numbers
3. Enter missing numbers in
calculations involving squares and
square roots: 1-10
3. Speed response: Identify the first
10 cube numbers
3. Enter the missing numbers in
straightforward cube root calculations:
1-10
3. Expand powers of 3: powers 2 to 7
4. Enter missing numbers in
calculations involving square
numbers: 1-10
4. Enter missing numbers in
calculations involving cube numbers:
1-10
4. Enter missing numbers in
calculations involving squares, cubes,
square roots and cube roots: 1-10
4. Expand powers of 1 to 5 : powers 2
to 7
5. Enter the second ten squares
numbers: 11-20
5. Enter missing numbers in
calculations involving square and cube
numbers: 1-10
5. Complete questions in context
involving squares, cubes, square roots
and cube roots
5. Express expanded form in index
form: 1 to 6: powers 2 to 6
6. Enter the missing numbers in
straightforward square number calculations: 11-20
6. Express expanded form in index
form: 2 to 9: powers 2 to 8
7. Speed response: Identify the
second 10 square numbers
7. Complete calculations involving
indices, square roots and cube roots
8. Enter missing numbers in
calculations involving square
numbers: 1-20
8. Enter missing numbers in
calculations involving indices, square
roots and cube roots
Maths Workout - Number
© Smart Interactive Ltd. 19
Topic 11 - Order of Operations
Target 1 Target 2 Target 3
Understand and use the order of
operations with two operations
Evaluate calculations with 2 or 3
operations with brackets and powers
Evaluate calculations with 3 or more
operations with brackets and powers
1. Complete simple calculations with 2
operations (x or / and + or -)
1. Complete simple calculations with 2
operations with brackets
1. Complete simple calculations with 3
operations
2. Complete simple calculations with 2 operations (x or / and + or -)
2. Complete simple calculations with 2 operations with brackets and squares
2. Complete simple calculations with 3 operations
3. Complete simple calculations with 2 operations (x or / and + or -)
3. Complete simple calculations with 3 operations with brackets and powers
3. Complete simple calculations with 3 operations with brackets
4. Complete simple calculations with 2
operations (x or / and + or -)
4. Complete simple calculations with 2
operations with fractions
4. Complete simple calculations with 4
operations with brackets and powers
5. Complete simple calculations with 2
operations (+ or - and + or -)
6. Complete simple calculations with 2
operations (x or / and x or /)
7. Mixed examples of tasks 1 to 6
Maths Workout - Number
© Smart Interactive Ltd. 20
Topic 12 - Rounding & Estimation
Target 1 Target 2 Target 3 Target 4 Target 5
Distinguish between exact and
approximate numbers
Round numbers up to 100,000.00 to
the nearest whole number, 10, 100 and 1000
Round numbers up to 100.00000 to 1,
2, 3 and 4 decimal places
Round large and small numbers to 1,
2 and 3 significant figures
Estimate by rounding to 1sf and
otherwise
Estimate by educated guess
1. Distinguish between exact and approximate numbers
1. Round numbers < 100 with 1 dp to the nearest whole number
1. Round numbers < 10 with 2 dp to 1 dp
1. Identify the 1st significant figure in a number
1. Estimate calculations by rounding to 1 sf: 1 operation
2. Distinguish between exact and
approximate numbers
2. Round numbers < 100 with 2 dp to
the nearest whole number
2. Round numbers < 100 with 3 dp to
1 dp
2. Identify the 2nd significant figure in
a number
2. Estimate calculations by rounding
to 1 sf: 2 operations
3. Round numbers < 10000 with 1 dp
to the nearest whole number;
rounding causes knock-on place value
changes
3. Round numbers < 1000 with 2 dp
to 1 dp ; rounding causes knock-on
place value changes
3. Identify the 3rd significant figure in
a number
3. Estimate calculations by rounding
to 1 sf: 2 operations; quiz style
4. Round whole numbers < 1000 to
the nearest 10
4. Round numbers < 100 with 3 dp to
2 dp
4. Round a whole number < 100000
to 1 sf
4. Estimate values of commonplace
objects: quiz style
5. Round whole numbers < 10000 to
the nearest 10
5. Round numbers < 1000 with 3 dp
to 2 dp
5. Round a number with up to 3 dp <
1000 to 1 sf
5. Estimate the number of shapes up
to 200
6. Round whole numbers < 100000 to
the nearest 10; rounding causes
knock-on place value changes
6. Round numbers < 1000 with 3 dp
to 1 dp ; rounding causes knock-on
place value changes
6. Round a number with up to 5 dp <
1 to 1 sf
7. Round whole numbers < 10000 to
the nearest 100
7. Round numbers < 10 with 4 dp to 3
dp
7. Round a whole number < 100000
to 2 sf
8. Round whole numbers < 100000 to
the nearest 100
8. Round numbers < 100 with 4 dp to
3 dp
8. Round a number with up to 3 dp <
100 to 2 sf
9. Round whole numbers < 1000000
to the nearest 100; rounding causes
knock-on place value changes
9. Round numbers < 10 with 4 dp to 3
dp ; rounding causes knock-on place
value changes
9. Round a number with up to 5 dp <
1 to 2 sf
10. Round whole numbers < 100000
to the nearest 1000
10. Round numbers < 100 with 5 dp
to 4 dp
10. Round a whole number <
1000000 to 3 sf
11. Round whole numbers < 1000000
to the nearest 1000
11. Round numbers < 100 with 5 dp
to 4 dp
11. Round a number with up to 3 dp
< 1000 to 3 sf
12. Round whole numbers < 10000000 to the nearest 1000;
rounding causes knock-on place value
changes
12. Round numbers < 10 with 5 dp to 4 dp ; rounding causes knock-on
place value changes
12. Round a number with up to 6 dp < 1 to 3 sf
Maths Workout - Number
© Smart Interactive Ltd. 21
Topic 13 - Number Machines
Target 1 Target 2 Target 3 Target 4 Target 5
Complete input and output values for
a number machine; positive integers
Complete missing elements in a
number machine; positive integers
Solve problems with positive integers
Complete missing elements in a
number machine; integers
Solve problems with integers
Complete input and output values for
a number machine, including multiply/dividing by a negative
Complete missing elements in a
number machine, including multiply/dividing by a negative
Solve problems with integers
1. Complete output values for a
number machine
1. Complete input and output values
for a number machine
1. Complete input and output values
for a number machine
1. Complete output values for a
number machine
1. Complete input and output values
for a number machine
2. Complete output values for a
number machine
2. Find a missing operation given the
input and output values of a number
machine
2. Find a missing operation given the
input and output values of a number
machine
2. Complete output values for a
number machine
2. Find a missing operation given the
input and output values of a number
machine
3. Complete output values for a
number machine
3. Find a missing operation given the
input and output values of a number
machine
3. Find a missing operation given the
input and output values of a number
machine
3. Complete output values for a
number machine
3. Find a missing operation given the
input and output values of a number
machine
4. Complete output values for a
number machine
4. Find a missing operation given the
input and output values of a number
machine
4. Find a missing operation given the
input and output values of a number
machine
4. Complete output values for a
number machine
4. Find a missing operation given the
input and output values of a number
machine
5. Complete output values for a
number machine
5. Complete input values for an
addition number machine
5. Complete input values for an
addition number machine
5. Complete output values for a
number machine
5. Complete input values for an
addition number machine
6. Complete output values for a
number machine
6. Complete missing elements in a
number machine
6. Complete missing elements in a
number machine
6. Complete output values for a
number machine
6. Complete missing elements in a
number machine
7. Complete output values for a
number machine
7. Solve problems with positive
integers
7. Solve problems with integers 7. Complete output values for a
number machine
7. Solve problems with integers
8. Complete output values for a
number machine
8. Solve problems with positive
integers
8. Solve problems with integers 8. Complete output values for a
number machine
8. Solve problems with integers
9. Complete input and output values
for a number machine
9. Solve problems with positive
integers
9. Solve problems with integers 9. Complete input and output values
for a number machine
9. Solve problems with integers
10. Solve problems with positive
integers
10. Solve problems with integers 10. Solve problems with integers
Maths Workout - Number
© Smart Interactive Ltd. 22
Topic 14 - Number Problems & Puzzles
Target 1 Target 2 Target 3 Target 4 Target 5
Solve mixed questions on the
properties of number in the form of a bingo game
Solve a magic square
Solve a problem in a magic square
Solve number problems and puzzles Solve number problems and puzzles Solve number problems and puzzles
1. Solve mixed questions on the properties of number in the form of a
bingo game
1. Solve a 3 x 3 magic square: total given
1. Complete a number puzzle by adding digits to a triangular grid
(totals: 9 and 10)
1. Complete a number puzzle by adding digits to calculations of four
rules
1. Complete a section of a 10 x 10 multiplication grid; 10 x 10 grid
available
2. Solve mixed questions on the
properties of number in the form of a
bingo game
2. Solve a 3 x 3 magic square 2. Complete a number puzzle by
adding digits to a triangular grid
(totals: 11 and 12)
2. Complete a number puzzle by
adding digits to calculations of four
rules
2. Complete a section of a 20 x 20
multiplication grid
3. Solve mixed questions on the
properties of number in the form of a
bingo game
3. Solve a 3 x 3 magic square: no
individual entries marked
3. Complete a number puzzle by
adding digits to a triangular grid
(totals: 19 and 20)
4. Solve mixed questions on the
properties of number in the form of a
bingo game
4. Solve a 3 x 3 magic square
containing negative integers
4. Complete a number puzzle by
adding digits to a triangular grid
(totals: 21 and 23)
5. Solve mixed questions on the
properties of number in the form of a
bingo game
5. Solve a problem in a 3 x 3 magic
square
5. Complete a number puzzle by
adding digits to a grid (totals: 12 and
13)
6. Solve mixed questions on the
properties of number in the form of a
bingo game
6. Solve a problem in a 3 x 3 magic
square containing negative integers
6. Complete a number puzzle by
adding digits to a grid (totals: 14 and
15)
7. Solve mixed questions on the properties of number in the form of a
bingo game
7. Solve a 4 x 4 magic square: total given
8. Solve mixed questions on the
properties of number in the form of a
bingo game
8. Solve a 4 x 4 magic square:
individual entries not marked
9. Solve mixed questions on the
properties of number in the form of a
bingo game
9. Solve a 4 x 4 magic square:
negative integers used
10. Solve mixed questions on the
properties of number in the form of a
bingo game
10. Solve a 4 x 4 magic square:
negative integers used: individual
entries not marked
Maths Workout - Number
© Smart Interactive Ltd. 23
Topic 15 - Language Tasks & Quizzes 1
Target 1 Target 2 Target 3 Target 4 Target 5
Engage with Maths language by
matching terms to their descriptions
Engage with Maths language through
wordsearch puzzles
Engage with Maths language through
crossword puzzles
Engage with Maths language by
completing sentences
Quiz: Mixed questions on Topics 1 to
13
1. Match terms to their descriptions 1. Complete a wordsearch 1. Complete a crossword 1. Enter missing words in sentences 1. Quiz: Mixed questions from Topics
1 to 13
2. Match terms to their descriptions 2. Complete a wordsearch 2. Complete a crossword 2. Enter missing words in sentences
3. Match terms to their descriptions 3. Complete a wordsearch 3. Complete a crossword 3. Enter missing words in sentences
4. Match terms to their descriptions 4. Complete a wordsearch 4. Complete a crossword 4. Enter missing words in sentences
5. Match terms to their descriptions 5. Complete a wordsearch 5. Complete a crossword 5. Enter missing words in sentences
6. Match terms to their descriptions 6. Enter missing words in sentences
7. Match terms to their descriptions 7. Enter missing words in sentences
8. Match terms to their descriptions 8. Enter missing words in sentences
9. Match terms to their descriptions 9. Enter missing words in sentences
10. Match terms to their descriptions 10. Enter missing words in sentences
Maths Workout - Number
© Smart Interactive Ltd. 24
Topic 16 - Using a Calculator
Target 1 Target 2 Target 3 Target 4 Target 5
Use a calculator to do a single stage
calculation on numbers with 1 decimal place
Use a calculator to do a single stage
calculation on numbers with 2 decimal places
Use a calculator to solve single stage
problems in word form including some contexts
Use a calculator to solve 2-stage and
multi-stage problems including some in context; follow order of operations
Use a calculator to solve multi-stage
problems involving brackets and indices; follow order of operations
1. Use a calculator to calculate the sum of 2 numbers with 1 or 2 dp
1. Use a calculator to calculate the sum of 2 numbers with up to 3 dp
1. Use a calculator to solve a single stage problem in word form including
some contexts
1. Use a calculator to carry out a 2-stage calculation; requires correct use
of order of operations
1. Use a calculator to carry out a calculation involving 3 or more
stages; requires correct use of order
of operations
2. Use a calculator to calculate the
difference of 2 numbers with 1 or 2 dp
2. Use a calculator to calculate the
difference of 2 numbers with up to 3
dp
2. Use a calculator to solve a single
stage problem in word form including
some contexts
2. Use a calculator to carry out a 2-
stage calculation; requires correct use
of order of operations
2. Use a calculator to carry out a
calculation involving 3 or more
stages; requires correct use of order
of operations
3. Use a calculator to calculate the
product of 2 numbers with 1 or 2 dp
3. Use a calculator to calculate the
product of 2 numbers with up to 3 dp
3. Use a calculator to solve a single
stage problem in word form including
some contexts
3. Use a calculator to solve a problem
involving 2 or more stages; requires
correct use of order of operations
3. Speed response; Use a calculator to
carry out a single stage calculation;
requires correct use of order of
operations
4. Use a calculator to calculate the
division of 2 numbers with 1 or 2 dp
4. Use a calculator to calculate the
division of 2 numbers with up to 3 dp
4. Use a calculator to solve a single
stage problem in word form including
some contexts
5. Use a calculator to solve a single stage problem in word form including
some contexts
Maths Workout - Number
© Smart Interactive Ltd. 25
Topic 17 - Fractions 1
Target 1 Target 2 Target 3 Target 4 Target 5
Identify the fraction of a shape which
is coloured; simplest form not required
Colour the given fraction of a shape
Complete equivalent fractions
Compare the value of fractions
Identify equivalent fractions
Reduce a fraction to its simplest form Convert between a mixed number and
an improper fraction
Calculate fractional part of a value
1. Identify the fraction of a shape that
is coloured (1/2:x/4:x/3:x/5)
1. Complete a list of equivalent
fractions (1/2:1/3) by entering the
numerator or denominator
1. Reduce a fraction to its simplest
form; a/b: b<15; common factor < 6
1. Convert an improper fraction to a
mixed number: a/b: b < 6: a < 3xb
1. Calculate a unitary fraction of a
value: 1/b of c: b < 5: c < 10
2. Identify the fraction of a shape that
is coloured (x/4:x/6:x/5:x/6)
2. Complete a list of equivalent
fractions (1/4:2/3) by entering the
numerator or denominator
2. Reduce a fraction to its simplest
form; a/b: b<25; common factor < 6
2. Convert an improper fraction to a
mixed number: a/b: b < 7: a < 5xb
2. Calculate a unitary fraction of a
value: 1/b of c: b < 6: c < 19
3. Identify the fraction of a shape that
is coloured (x/6:x/7:x/9:x/9)
3. Complete a list of equivalent
fractions (a/b: a<10:b<11: a<b) by
entering the numerator or
denominator
3. Reduce a fraction to its simplest
form; a/b: b<41; common factor < 10
3. Convert an improper fraction to a
mixed number: a/b: b < 13: a < 10xb
3. Calculate a unitary fraction of a
value: 1/b of c: b < 13: c < 201
4. Identify the fraction of a shape that
is coloured (x/9:x/8:x/16:x/12):
optional motion for fun
4. Speed response: Identify fractions
that have a value = 1/2,1/3 or 1/4
4. Reduce a fraction to its simplest
form; a/b: b<200; common factor <
13
4. Convert a mixed number to an
improper fraction: M+a/b: b < 6: M <
3
4. Calculate a fraction of a value: a/b
of c: b < 6: c < 21
5. Identify the fraction of a shape that
is coloured (x/10:x/12:x/16:x/32): optional motion for fun
5. Speed response: Identify fractions
that have a value < 1/2,1/3 or 1/4
5. Memory game: Identify a fraction
and its simplest form: a/b: b < 9
5. Convert a mixed number to an
improper fraction: M+a/b: b < 7: M < 5
5. Calculate a fraction of a value: a/b
of c: b < 8: c < 31
6. Colour the given fraction of a shape (x/4:1/2:x/3:x/5)
6. Speed response: Identify fractions that have a value > (1/2,1/3 or 1/4)
6. Memory game: Identify a fraction and its simplest form: a/b: b < 13
6. Convert a mixed number to an improper fraction: M+a/b: b < 13: M
< 10
6. Calculate a fraction of a value: a/b of c: b < 11: c < 71
7. Colour the given fraction of a shape
(x/4:x/6:x/5:x/6)
7. Speed response: Identify a fraction
equivalent to a given unitary fraction
7. Speed response: Match fractions
with their simplest form; unitary
fractions
7. Memory game: Identify an
improper fraction and equivalent
mixed number: M+a/b: b < 6: M < 3
8. Colour the given fraction of a shape
(x/6:x/7:x/9:x/9)
8. Speed response: Identify a fraction
equivalent to a given fraction
8. Speed response: Match fractions
with their simplest form; simple
fractions
8. Memory game: Identify an
improper fraction and equivalent
mixed number: M+a/b: b < 10: M < 5
9. Colour the given fraction of a shape
(x/9:x/8:x/16:x/12): optional motion
for fun
9. Memory game: Identify two
equivalent fractions
10. Colour the given fraction of a
shape (x/8:x/12:x/16:x/32): optional
motion for fun
Maths Workout - Number
© Smart Interactive Ltd. 26
Topic 18 - Fractions 2
Target 1 Target 2 Target 3 Target 4 Target 5
Convert between a fraction and a
decimal; compare fractions and decimals
Convert between a recurring decimal
and a fraction in simplest form
Add fractions and mixed numbers,
expressing in simplest form
Subtract fractions and mixed
numbers, expressing in simplest form
Multiply & divide fractions and mixed
numbers, expressing in simplest form; Solve mixed problems involving
fractions
1. Convert between a fraction and a
decimal (tenth)
1. Write a recurring decimals with 1
dp as a fraction
1. Add 2 fractions with same
denominator; no simplifying required
1. Subtract 2 fractions with same
denominator; no simplifying required
1. Multiply two unitary fractions using
‘of’ as the operator
2. Convert between a fraction and a
decimal (quarter, eighth)
2. Write a recurring decimals with 2
dp (recurring sequence length 2) as a
fraction
2. Add 2 fractions with same
denominator
2. Subtract 2 fractions with same
denominator
2. Multiply a unitary fraction by a
fraction using ‘of’ as the operator
3. Convert between a fraction and a
decimal (third, fifth)
3. Write a recurring decimals with 3
dp (recurring sequence length 3) as a
fraction
3. Add 2 fractions with one
denominator a constant multiple of
the other
3. Subtract 2 fractions with one
denominator a constant multiple of
the other
3. Multiply 2 fractions
4. Memory game: Identify a fraction
and decimal of equivalent value
(quarter, half, tenth)
4. Write a recurring decimals with 2
dp (recurring sequence length 1) as a
fraction
4. Add 2 fractions with one
denominator a constant multiple of
the other; answer less than 1
4. Subtract 2 fractions with one
denominator a constant multiple of
the other
4. Multiply 2 fractions; larger
denominators
5. Memory game: Identify a fraction
and decimal of equivalent value
(quarter, half, tenth, fifth, eighth)
5. Mixed questions from tasks 1 to 4 5. Add 2 fractions with different
denominators; answers include mixed
numbers
5. Subtract 2 fractions with different
denominators; answers include mixed
numbers
5. Multiply a mixed number by a
fraction
6. Memory game: Identify a fraction
and decimal of equivalent value
(eighth, hundredth)
6. Write 1/3s and 1/9s as recurring
decimals
6. Add 2 fractions with different
denominators; answers include mixed
numbers; larger denominators
6. Subtract 2 fractions with different
denominators; answers include mixed
numbers; larger denominators
6. Multiply a mixed number by a
fraction; larger denominators
7. Sort fractions and decimals 7. Write 1/33s and 1/99s as recurring decimals
7. Add a mixed number to a fraction 7. Subtract a fraction from a mixed number
7. Multiply a mixed number by a mixed number
8. Sort fractions and decimals; extension
8. Write 1/333s and 1/999s as recurring decimals
8. Add a mixed number to a fraction and; larger denominators
8. Subtract a fraction from a mixed number with 1 as the whole number
8. Multiply a mixed number by a mixed number; larger denominator
9. Add 2 mixed numbers 9. Subtract 2 mixed numbers 9. Divide a fraction by a fraction with guidance
10. Add 2 mixed numbers; larger
denominators;
10. Subtract 2 mixed numbers and;
larger denominators
10. Divide a fraction by a fraction
11. Divide a fraction by a fraction;
larger denominators
12. Divide a mixed number by a
fraction; divide a fraction by a mixed
number
13. Divide a mixed number by a
mixed number
14. Solve fractions questions in context
15. Solve fractions questions in context
Maths Workout - Number
© Smart Interactive Ltd. 27
Topic 19 - Percentages 1
Target 1 Target 2 Target 3 Target 4 Target 5
Convert between fractions, decimals
and percentages; Compare the value of fractions, decimals & percentages
Identify the percentage of a shape
which is shaded; Shade in the correct percentage of a given shape
Calculate a percentage of a quantity
without a calculator
Calculate a percentage of quantity
using a calculator
Calculate simple interest
1. Convert between a decimal and a percentage (1/10)
1. Identify the percentage of a shape that is coloured (1/2:x/4:x/10:x/5)
1. Calculate a percentage of a quantity; 10,25,75,100
1. Calculate a whole number percentage of a quantity
1. Calculate simple interest with assistance; whole number interest
rate; whole pounds
2. Convert between a decimal and a
percentage (1/4,1/8)
2. Identify the percentage of a shape
that is coloured (x/4:x/3:x/5:x/8)
2. Calculate a percentage of a
quantity; 10,25,75,100; larger
numbers
2. Calculate a whole number
percentage of a quantity; larger
numbers
2. Calculate simple interest with
assistance; whole number interest
3. Convert between a decimal and a
percentage (1/20,1/100)
3. Identify the percentage of a shape
that is coloured (x/20:x/40:x/50)
3. Calculate a percentage of a
quantity; 5,10,20,30,40; whole
number answers
3. Calculate a fractional percentage of
a quantity
3. Calculate simple interest with
assistance; fractional interest rate;
multiples of 10
4. Convert between a fraction and a
percentage (1/10)
4. Colour the given fraction of a shape
(1/2:x/4:x/10:x/5)
4. Calculate a percentage of a
quantity; 5,10,20,30,40
4. Calculate a fractional percentage of
a quantity; multiples of 100
4. Calculate simple interest with
assistance; fractional interest rate
5. Convert between a fraction and a
percentage (1/5,1/8)
5. Colour the given fraction of a shape
(x/4:x/3:x/5:x/8)
5. Calculate a percentage of a
quantity; 5,10,15,20,30,40
5. Calculate a fractional percentage of
a quantity; large whole numbers
5. Calculate simple interest; whole
number interest rate
6. Convert between a fraction and a
percentage (1/3,1/20)
6. Colour the given fraction of a shape
(x/20:x/40:x/50); optional motion
6. Calculate a percentage of a
quantity; 5,10,15,20,30,35,40
6. Calculate a whole number
percentage > 100 of a quantity
6. Calculate simple interest; fractional
interest rate; multiples of 10
7. Convert between a fraction,
decimal and percentage
(1/4,1/5,1/10)
7. Calculate a percentage of a
quantity; 0.5,1,1.5,2,3.5
7. Calculate simple interest; fractional
interest rate; halves of years
8. Convert between a fraction,
decimal and percentage
(1/3,1/8,1/100)
8. Calculate a percentage of a
quantity; 0.5,1,1.5,2,98,99,99.5
8. Calculate simple interest; table form;
whole number interest rate; whole
years
9. Memory game: Identify a decimal
and percentage of equivalent value (1/2,1/4,1/10)
9. Calculate a percentage of a
quantity; x12.5
9. Complete missing entries in a table
of simple interest calculations; whole number interest rate
10. Memory game: Identify a decimal
and percentage of equivalent value
(1/3,1/8,1/100)
10. Calculate a percentage of a
quantity; mixed examples from tasks
1 to 9
10. Complete missing entries in a
table of simple interest calculations;
fractional interest rate
11. Memory game: Identify a fraction
and percentage of equivalent value
(1/2,1/4,1/10)
12. Memory game: Identify a fraction
and percentage of equivalent value
(1/4,1/5,1/8,1/10)
13. Sort fractions, decimals and
percentages
14. Sort fractions, decimals and
percentages; extension
Maths Workout - Number
© Smart Interactive Ltd. 28
Topic 20 - Percentages 2
Target 1 Target 2 Target 3 Target 4 Target 5
Express one quantity as a percentage
of another
Calculate the actual change and new
value for a percentage change
Calculate the percentage change
given original and new value
Calculate the original value after a
percentage change (reverse percentages)
Calculate compound interest year-by-
year and by using a multiplying factor
1. Express a number as a % of a greater number < 11 with assistance
1. Calculate the actual change and the new value in a % increase < 100%;
with assistance
1. Calculate the % increase given the original amount and the actual
change; with assistance
1. Calculate the original value after a % increase; with assistance
1. Calculate compound interest year-by-year over 2 years; with assistance
2. Express a number as a % of a
greater number < 41 with assistance
2. Calculate the actual change and the
new value in a % increase < 100%;
with assistance
2. Calculate the % increase given the
original and final amount; with
assistance
2. Calculate the original value after a
% increase; with assistance
2. Calculate compound interest year-
by-year over 2 years; with assistance
3. Express a number as a % of a
greater number < 11
3. Increase a value by a percentage <
100%
3. Calculate the % decrease given the
original amount and the actual
change; with assistance
3. Calculate the original value after a
% decrease; with assistance
3. Calculate compound interest year-
by-year over 3 years; with assistance
4. Express a number as a % of a
greater number < 51
4. Increase a value by a % > 100% 4. Calculate the % decrease given the
original and final amount; assistance
4. Calculate the original value after a
% decrease; with assistance
4. Calculate compound interest year-
by-year over 3 years; with assistance
5. Express a number as a % of a
greater number < 100
5. Calculate the actual change and the
new value in a % decrease; with
assistance
5. Calculate the % change given the
original and final amount
5. Calculate the original value after a
% change
5. Calculate compound interest year-
by-year over 2 or 3 years
6. Express a number as a % of a
lesser number < 100
6. Calculate the actual change and the
new value in a % decrease; with
assistance
6. Calculate the % change given the
original and final amount; larger
numbers
6. Complete a table of original values
given the % change and whole final
values
6. Complete a table of values of
compound interest calculated year-by-
year over 2 to 4 years
7. Express an amount in pence as a %
of a greater amount in whole pounds
7. Mixed questions on increasing or
decreasing a value by a % < 100%
7. Complete a table of actual and %
changes; whole final value
7. Complete a table of original values
given the % change and fractional final values
7. Identify the multiplying factor for a
% increase < 100%
8. Express an amount in pence as a % of a greater amount
8. Complete a table of % increases and decreases
8. Complete a table of actual and % changes; fractional final value
8. Complete a table of original values given the % increase > 100% and
final values
8. Identify the multiplying factor for a % increase > 100%
9. Complete a table of actual
increases and % increases > 100%;
whole final value
9. Calculate compound interest over 2
years using a multiplying factor; with
assistance
10. Complete a table of actual
increases and % increases > 100%;
fractional final value
10. Calculate compound interest over
3 years using a multiplying factor;
with assistance
11. Calculate compound interest over
4 years using a multiplying factor;
with assistance
12. Calculate compound interest over
2 to 4 years using a multiplying factor
13. Complete a table of compound
interest over 2 to 11 years using a
multiplying factor
Maths Workout - Number
© Smart Interactive Ltd. 29
Topic 21 - Ratio
Target 1 Target 2 Target 3 Target 4 Target 5
Simplify a ratio Identify the ratio of shaded area to
unshaded area in a shape
Share an amount in a given ratio Solve mixed ratio questions in context Use a map scale to calculate real and
map distances
1. Simplify a ratio; 2 part ratio 1. Identify the ratio of shaded area to
unshaded area in a shape (parts: 2,3,4,5)
1. Divide an amount in a given ratio;
whole pounds; 2 part ratio
1. Complete a table of values for
mixing 2 paint colours in a given ratio
1. Calculate the real distance given
the scale and the map distance
2. Simplify a ratio; 2 part ratio;
greater common factors
2. Identify the ratio of shaded area to
unshaded area in a shape (parts:
4,5,6)
2. Divide an amount in a given ratio;
whole kg; 2 part ratio
2. Complete a table of values for
mixing 2 paint colours in a given ratio
2. Calculate the map distance given
the scale and the real distance
3. Simplify a ratio; 2 part ratio;
greater common factors
3. Identify the ratio of shaded area to
unshaded area in a shape (parts:
6,7,9)
3. Divide an amount in a given ratio;
whole pounds; larger ratio values; 2
part ratio
3. Calculate the correct amount of
paint for a mixture made from a given
ratio of 2 different colours
3. Calculate the real or map distance
given the map or real distance and
the scale
4. Simplify a ratio; 3 part ratio 4. Identify the ratio of shaded area to
unshaded area in a shape (parts:
9,8,12,16)
4. Divide an amount in a given ratio;
pounds and pence; 2 part ratio
4. Calculate the correct amount of
paint for a mixture made from a given
ratio of 2 different colours
5. Simplify a ratio; 3 part ratio;
greater common factors
5. Identify the ratio of shaded area to
unshaded area in a shape (parts:
10,12,16,32)
5. Complete a table of ratios dividing
an amount in a given ratio; whole
answers; 2 part ratio
5. Calculate a ratio from a fraction
6. Simplify a ratio of quantities
expressed in different units; with
assistance
6. Divide an amount in a given ratio;
whole pounds; 3 part ratio
6. Calculate a fraction from a ratio
7. Simplify a ratio of quantities
expressed in different units; with assistance
7. Divide an amount in a given ratio;
whole pounds; 3 part ratio; larger ratio values
7. Calculate a ratio from information
in context
8. Express a ratio in simplest form from information in context
8. Divide an amount in a given ratio; pounds and pence; 3 part ratio
8. Calculate a ratio from information in context
9. Memory game; identify a ratio and its simplest form
9. Find the angles of a triangle given their ratio
10. Speed response; match ratios
with their simplest form; unitary
ratios
10. Find the angles of a quadrilateral
given their ratio
11. Speed response; match ratios
with their simplest form
Maths Workout - Number
© Smart Interactive Ltd. 30
Topic 22 - Proportion 1
Target 1 Target 2 Target 3 Target 4 Target 5
Solve a simple direct proportion
question
Read, interpret and draw a line graph
of direct proportion
Solve a simple indirect proportion
question
Distinguish between direct and
indirect proportion
Solve questions on rates and best
buys
Convert between different quantities
using a conversion factor and graph
Calculate currency exchange
1. Calculate the cost of n items given
the cost of 1
1. Read and interpret a line graph of
direct proportion
1. Solve an indirect proportion
question
1. Calculate the rate for 1 item given
the rate for n items
1. Convert between miles and
kilometres; whole numbers
2. Calculate the rate for n items given
the rate for 1
2. Read and interpret a line graph of
direct proportion
2. Solve an indirect proportion
question
2. Calculate the best buy of 2 items
by comparing rates
2. Convert between miles and
kilometres
3. Calculate the cost of 1 item given
the cost of n
3. Read and interpret a line graph of
direct proportion
3. Solve a mixture of direct and
indirect proportion questions
3. Calculate the best buy of 2 items
by comparing rates
3. Construct a conversion graph
between miles and kilometres from a
table of information
4. Calculate the rate for 1 item given
the rate for n
4. Read and interpret a line graph of
direct proportion
4. Calculate the best buy of 2 items
by comparing rates
4. Read and interpret a conversion
graph between miles and kilometres
5. Calculate the rate for n items given
the rate for m
5. Construct a straight line graph of
direct proportion from a table of
information
5. Calculate the best buy of 2 items
by comparing rates
5. Read and interpret a conversion
graph between miles and kilometres
6. Calculate the rate for n items given
the rate for m
6. Construct a straight line graph of
direct proportion from a table of
information
6. Calculate the best buy of 2 items
by comparing rates
6. Read and interpret a conversion
graph between miles and kilometres
7. Calculate the rate for n items given
the rate for m
7. Construct a straight line graph of
direct proportion from a single piece
of information
7. Calculate the best buy of 2 items
by comparing rates
7. Convert between £ and $ using an
exchange rate in terms of £1
8. Construct a straight line graph of
direct proportion from a single piece of information
8. Calculate the best buy of 2 items
by comparing rates
8. Convert between £ and $ using an
exchange rate in terms of $1
9. Calculate the best buy of 2 items by comparing rates
9. Construct a conversion graph between £ and $ using an exchange
rate in terms of £1
10. Calculate the best buy of 2 items
by comparing rates
10. Read and interpret a conversion
graph between £’s and $’s
11. Solve a problem involving
combined rates
11. Read and interpret a conversion
graph between £’s and $’s
12. Solve a problem involving
combined rates
Maths Workout - Number
© Smart Interactive Ltd. 31
Topic 23 - Indices 1
Target 1 Target 2 Target 3 Target 4 Target 5
Express in index form (whole number
indices); expand and evaluate whole number indices
Express in index form (negative
indices); evaluate the reciprocal and other negative indices
Express in index form (fractional and
negative indices); evaluate fractional and negative indices
Use the rules of indices to multiply,
divide & simplify
Use the rules of indices to add,
subtract & simplify
1. Write a sequence of multiplications in index form
1. Evaluate the reciprocal of a whole number in fraction form with
assistance
1. Express a root in index form 1. Multiply in index form; both positive indices; with assistance
1. Simplify index form raised to an index; both positive indices; with
assistance
2. Expand index form and evaluate 2. Evaluate negative indices in
fraction form with assistance
2. Express fractional index form as a
root; with assistance
2. Multiply in index form; 1 or 2
negative indices
2. Simplify index form raised to an
index; 1 or 2 negative indices
3. Complete mixed calculations
involving index form and square and
cube roots
3. Evaluate negative indices in
fraction form
3. Evaluate fractional index form, by
expressing as a root, and evaluating;
with assistance
3. Complete missing elements in
multiplications in index form
3. Evaluate index form raised to an
index; 1 or 2 negative indices
4. Complete missing elements in
mixed calculations involving index
form and square and cube roots
4. Express a unitary fraction in index
form with assistance
4. Evaluate negative fractional index
form, by expressing as a root, and
evaluating; with assistance
4. Divide in index form; both positive
indices; with assistance
4. Simplify expressions in index form
5. Speed response; identify a value in
index form and its expanded value
5. Express a unitary fraction in index
form in 2 equivalent ways with
assistance
5. Express roots and reciprocals in
positive index form
5. Divide in index form; 1 or 2
negative indices
5. Simplify and evaluate expressions
in index form
6. Speed response; identify a value in
index form and its expanded value
6. Speed response; identify a value in
negative index form and its expanded
value as a fraction
6. Evaluate index form 6. Complete missing elements in
divisions in index form
7. Speed response; identify a value in
negative index form and its expanded value as a fraction
7. Speed response; identify a value in
fractional index form and its expanded value
8. Evaluate the reciprocal of a fraction 8. Speed response; identify a value in negative fractional index form and its
expanded value as a fraction
Maths Workout - Number
© Smart Interactive Ltd. 32
Topic 24 - Surds 1
Target 1 Target 2 Target 3 Target 4 Target 5
Revise square numbers
Express a whole number as a product of 2 factors with 1 factor being square
Understand a surd
Simplify a surd
Express a surd expression as a single
surd
Simplify a product of surds Simplify a sum or difference of surds Expand and simplify a surd expression
in brackets
1. Revision: Identify square numbers
up to 100
1. Demo: Understand a surd
Distinguish between a surd and a non-
surd
1. Demo: Simplify a surd expression
of the form √a x √b
1. Demo: Simplify an expression of
the form √ab ± √ac
1. Demo: Expand and simplify an
expression in brackets of the form
√a(n ± √a), √a(√b ± m√c)
2. Revision: Identify square numbers
up to 100
2. Demo: Simplify a surd of the form
√ab
2. Simplify a surd expression of the
form √a x √b
2. Simplify an expression of the form
√ab ± √ac
2. Expand and simplify an expression
in brackets of the form √a(n ± √a)
3. Revision: Match whole numbers
and their square up to 100
3. Simplify a surd of the form √ab
with assistance
3. Simplify a surd expression of the
form √a x √b
3. Simplify an expression of the form
√ab ± √ac
3. Expand and simplify an expression
in brackets of the form √a(√a ± √b)
4. Revision: Identify square numbers
from 121 to 400
4. Simplify a surd of the form √ab 4. Speed Response: Match a surd
expression and its simplified form
4. Simplify an expression of the form
√ab ± n√ac
4. Expand and simplify an expression
in brackets of the form √ab(√ac ±
√ad)
5. Revision: Identify square numbers
from 121 to 400
5. Simplify a surd of the form √ab 5. Demo: Simplify a surd expression
of the form √a x n√b x √c
5. Simplify an expression of the form
m√ab ± n√ac
5. Demo: Expand and simplify an
expression in brackets of the form (n
± m√a) (p ± q√b)
6. Revision: Match whole numbers
and their square from 121 to 400
6. Speed Response: Match a surd and
its simplified form
6. Simplify a surd expression of the
form √a x n√b x √c
6. Demo: Simplify an expression of
the form √ab ± n√ac ± √ad
6. Expand and simplify an expression
in brackets of the form (1 ±n √a)
(n√a ±1)
7. Express a whole number as a
product of 2 factors with 1 factor being square
7. Express a surd expression as a
single surd
7. Simplify a surd expression of the
form √a x n√b x √c
7. Simplify an expression of the form
√ab ± √ac ± √ad
7. Expand and simplify an expression
in brackets of the form (n ± m√a) (√a ± p)
8. Express a whole number as a product of 2 factors with 1 factor
being square
8. Express a surd expression as a single surd
8. Simplify a surd expression of the form √a x n√b x √c
8. Simplify an expression of the form √ab ± n√ac ± √ad
8. Expand and simplify an expression in brackets of the form (a ± √b) (c±
√d)
9. Express a whole number as a
product of 2 factors with 1 factor
being square
9. Speed Response: Match a surd and
its simplified form
9. Demo: Simplify a surd expression
in index form
9. Simplify an expression of the form
m√ab ± n√ac ± √ad
9. Expand and simplify miscellaneous
expressions in brackets
10. Express a whole number as a
product of 2 factors with 1 factor
being square
10. Memory Task: Match a surd and
its simplified form
10. Simplify a surd expression in
index form
10. Demo: Simplify an expression
including sums or differences of surds
in index form
10. Expand and simplify miscellaneous
expressions in brackets
11. Simplify a surd expression in
index form
11. Simplify an expression including
sums or differences of surds in index
form
12. Simplify a surd expression in
index form
12. Simplify an expression including
sums or differences of surds in index
form
Maths Workout - Number
© Smart Interactive Ltd. 33
Topic 25 - Surds 2
Target 1 Target 2 Target 3 Target 4 Target 5
Simplify an expression with a surd in
the denominator
Rationalise the denominator Simplify an expression by rationalising
the denominator
Simplify an expression by rationalising
the denominator
Simplify an expression by rationalising
the denominator
1. Demo: Use the rule of surds: √a/b
= √a/√b to simplify an expression
1. Demo: Rationalise the
denominator: a/√b
1. Demo: Simplify an expression by
rationalising the denominator: √a/√b x √c, √a x √b/√c
1. Demo: Simplify an expression by
rationalising the denominator: (n√a±b)/√c
1. Demo: Know simple surd,
compound surd, conjugate surd
2. Simplify an expression of the form
√a/√b which simplifies to a simple
surd
2. Rationalise the denominator: a/√b
and with assistance
2. Simplify an expression: √a/√b x
√c, √a x √b/√c
2. Simplify an expression: (√a±b)/√c 2. Demo: Multiply a compound surd
by its conjugate
3. Speed Response: Match a surd
fraction and its simplification
3. Rationalise the denominator: a/√b 3. Simplify an expression: n√a/√b x
√c, n√a x √b/m√c
3. Simplify an expression:
(n√a±b)/√c
3. Multiply a compound surd by its
conjugate
4. Speed Response: Match a surd
fraction and its simplification
4. Speed Response: Match a surd
expression and its form after
rationalisation of the denominator
4. Simplify an expression: n√a x
√b/m√c x √d
4. Simplify an expression:
(n√a±b)/√c
4. Demo: Simplify an expression by
rationalising the denominator:
a/(b±√c), √a/( b±√c)
5. Simplify an expression of the form
(√a±√b )/√c with assistance
5. Speed Response: Match a surd
expression and its form after
rationalisation of the denominator
5. Simplify an expression: n√a x
√b/m√c x √d
5. Simplify an expression:
(n√a±b)/√c
5. Simplify an expression by
rationalising the denominator:
a/(b±√c)
6. Simplify an expression of the form
(√a±√b )/√c with assistance
6. Demo: Rationalise the denominator
and simplify: 1/√a and √a/√b
6. Demo: Simplify an expression by
rationalising the denominators: a/b√c
+ d/e√f
6. Simplify an expression:
(n√a±b)/√c
6. Simplify an expression by
rationalising the denominator: √a/(
b±√c)
7. Simplify an expression of the form
(√a±√b )/√c with assistance
7. Rationalise the denominator and
simplify: 1/√a and n√a/√b
7. Simplify an expression: a/b√c +
d/e√f
7. Simplify an expression:
(n√a±b)/√c
7. Demo: Simplify an expression by
rationalising the denominator:
a/(√b±c), a/(√b±√c)
8. Simplify an expression of the form
(√a±√b )/√c with assistance
8. Rationalise the denominator and
simplify: n/√a and m√a/√b
8. Simplify an expression: a/b√c +
d/e√f
8. Simplify an expression by
rationalising the denominator: a/(√b±c), a/(b√c±d), a/(√b±√c),
√a/(√b±√c)
9. Simplify an expression of the form
(√a±√b )/√c with assistance
9. Rationalise the denominator and
simplify: n/√a and m√a/√b
9. Demo: Simplify an expression by
rationalising the denominator:
(a±b√c)/(√d±e), (a±b√c)/ (√d±√e)
10. Simplify a miscellaneous fractional
expression
10. Rationalise the denominator and
simplify: n/√a and m√a/√b
10. Simplify an expression by
rationalising the denominator:
(a±b√c)/(√d±e), (a±b√c)/(√d±√e)
Maths Workout - Number
© Smart Interactive Ltd. 34
Topic 26 - Standard Form
Target 1 Target 2 Target 3 Target 4 Target 5
Convert numbers greater than 1
between ordinary notation and standard form
Express numbers less than 1 in
standard form
Expand standard form to ordinary
notation; numbers < 1
Multiply and divide numbers in
standard form without a calculator
Add and subtract numbers in standard
form without a calculator
1. Engage with the pattern of indices by expressing a sequence of multiples
of 10 in index form
1. Engage with the pattern of indices by expressing a sequence of decimal
fractions in index form
1. Expand standard form for negative indices; single digit whole numbers
1. Multiply 2 numbers in standard form; (a x 10n) x (b x 10m): a x b <
10
1. Add 2 numbers in standard form with the same index; (a x 10n) + (b x
10m): a + b < 10
2. Express a number > 1 with a single
non-zero digit in standard form; with
assistance
2. Express a number < 1 with a single
non-zero digit in standard form; with
assistance
2. Expand standard form for negative
indices; 2-digit numbers with 1 dp
2. Convert a number in scientific
notation to correct standard form
2. Add 2 numbers in standard form
with the same index; (a x 10n) + (b x
10m): a + b maybe >= 10
3. Express a number < 1 with 2 non-
zero digits in standard form; with
assistance
3. Express a number < 1 with 2 non-
zero digits in standard form; with
assistance
3. Expand standard form for negative
indices; 3-digit numbers with 2 dp;
includes zero as middle digit
3. Multiply 2 numbers in standard
form; (a x 10n) x (b x 10m): a x b
maybe > 10
3. Add 2 numbers in standard form;
(a x 10n) + (b x 10m): a + b maybe
>= 10; |n-m| = 1
4. Express a number > 1with 2 non-
zero digits in standard form
4. Express a number < 1with 2 non-
zero digits in standard form
4. Express standard form as
thousands, millions, billions, etc
4. Multiply 2 numbers in standard
form; (a x 10n) x (b x 10m): a x b
maybe > 10; a or b has 1 dp
4. Add 2 numbers in standard form;
(a x 10n) + (b x 10m): a + b maybe
>= 10; |n-m| = 2
5. Express a number > 1 with 2 or 3
non-zero digits in standard form
5. Express a number < 1 with 2 or 3
non-zero digits in standard form
5. Raise a number in standard form to
a power and rewrite in standard form
5. Subtract 2 numbers in standard
form with the same index; (a x 10n) -
(b x 10m): a - b > 0
6. Express a large number given as
thousands, millions, billions in
standard form
6. Express a small number given as
thousandths, millionths, billionths in
standard form
6. Divide 2 numbers in standard form;
(a x 10n) / (b x 10m): a / b > 1
6. Subtract 2 numbers in standard
form with the same index; (a x 10n) -
(b x 10m): a - b > 0; |n-m| < 3
7. Expand standard form; single digit whole numbers >= 1
7. Divide 2 numbers in standard form; (a x 10n) / (b x 10m): a / b maybe <=
1
8. Expand standard form; 2-digit
numbers with 1 dp > 1
9. Expand standard form; 2 or 3-digit
numbers with 1 or 2 dp > 1
10. Express standard form as
thousands, millions, billions, etc
11. Convert between standard form
and ordinary form in context
Maths Workout - Number
© Smart Interactive Ltd. 35
Topic 27 - Language Tasks & Quizzes 2
Target 1 Target 2 Target 3 Target 4 Target 5
Engage with Maths language by
matching terms to their descriptions
Engage with Maths language through
wordsearch puzzles
Engage with Maths language through
crossword puzzles
Engage with Maths language by
completing sentences
Quizzes: Mixed questions on Topics 15
to 24; Differentiated from 1 to 2
1. Match terms to their descriptions 1. Complete a wordsearch 1. Complete a crossword 1. Enter missing words in sentences 1. Quiz: Mixed questions from Topics
15 to 24
2. Match terms to their descriptions 2. Complete a wordsearch 2. Complete a crossword 2. Enter missing words in sentences 2. Quiz: Mixed questions from Topics 15 to 24
3. Match terms to their descriptions 3. Complete a wordsearch 3. Complete a crossword 3. Enter missing words in sentences
4. Match terms to their descriptions 4. Complete a wordsearch 4. Complete a crossword 4. Enter missing words in sentences
5. Match terms to their descriptions 5. Complete a wordsearch 5. Complete a crossword 5. Enter missing words in sentences
6. Match terms to their descriptions 6. Enter missing words in sentences
7. Match terms to their descriptions 7. Enter missing words in sentences
8. Match terms to their descriptions 8. Enter missing words in sentences
9. Match terms to their descriptions 9. Enter missing words in sentences
10. Match terms to their descriptions
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 36
Geometry & Measures Topics
Topic Target 1 Target 2 Target 3 Target 4 Target 5
1 Measurement 1 Measure a distance using a
slider and fixed scale
Measure a distance using a
moveable ruler
Complete missing numbers
along a linear scale
Read a linear scale using
interpolation
Read a circular scale using
interpolation
2 Measurement 2
Engage with units of
measure and their symbols
Convert between metric
units of length
Convert between metric
units of mass
Know approximate
equivalences between Imperial and metric units
Convert between Imperial
and metric units
Identify and calculate with
upper and lower bounds
3 Line Symmetry
Complete a single colour
pattern of squares with one
line of symmetry
Complete a multi-coloured
pattern of squares with one
line of symmetry
Complete a line pattern
with one line of symmetry
Identify the number of lines
of symmetry on a shape or
pattern
Complete a pattern of
squares with two lines of
symmetry
Distinguish between shapes
with and without line
symmetry
Identify and attach one or
two lines of symmetry to a
shape or pattern
4 Rotational Symmetry
Engage with rotational
symmetry in nature,
geometry, patterns and kaleidoscopes
Identify the order of
rotational symmetry
Complete a pattern with
rotational symmetry
Complete a pattern with
rotational symmetry
5 Plane Symmetry
Engage with plane symmetry
Identify the number of planes of symmetry
Identify the number of planes of symmetry
6 Shapes
Recognise and explore facts
about triangles,
quadrilaterals and regular
polygons
Recognise and explore facts
about triangles,
quadrilaterals and regular
polygons
Calculate the exterior and
interior angles of a regular
polygon
Calculate the sum of the
interior angles of a polygon
Solve problems and puzzles
with shapes
7 Solids
Identify the number of
faces, edges and vertices
on a range of solids
Identify the number of
faces, edges and vertices
on a range of solids
Identify the number of
faces, edges and vertices
on a range of solids
Identify the number of
faces, edges and vertices
on a range of solids
Investigate Euler’s formula
Solve problems and puzzles
with solids
8 Angles
Work with angle types and
sizes
Estimate and measure
angles
Estimate by drawing
Calculate angles along a
straight line, at a vertex
and around a point
Calculate angles in triangles
and quadrilaterals
Calculate angles created by
parallel lines and a
transverse and other
quadrilaterals
Calculate angles in diagrams
involving regular polygons
9 Perimeter
Calculate the perimeter of a
simple rectilinear shape
Calculate the circumference
of a circle and the perimeter
of a complex shape with
circular elements
10 Area
Estimate the area of shapes
by counting squares and
half-squares
Calculate the area of a
square, rectangle and
complex shape
Convert between metric
units of area
Calculate the area of a
triangle and complex
shapes with triangular
elements
Calculate the area of a
circle and complex shapes
with circular elements
Calculate the area of a kite,
rhombus, trapezium,
parallelogram and complex
shape
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 37
Geometry & Measures Topics
Topic Target 1 Target 2 Target 3 Target 4 Target 5
11 Capacity & Volume
Understand and convert
between units of capacity and volume
Read a scale using
interpolation to find the amount of liquid in a
container
Find the volume of a solid
by counting cubes and half-cubes
Calculate the volume of a
cube and cuboid
Calculate the capacity of a
cuboid container and the amount of liquid it contains
12 Volume Calculate the volume of a
cube, cuboid and complex
solid
Calculate the volume of a
prism
Calculate the volume of a
cylinder and complex solid
with cylindrical elements
Calculate the volume of a
pyramid, cone, sphere and
complex solid
13 Surface Area
Calculate the surface area
of a cube, cuboid and
complex solid
Calculate the surface area
of a cylinder and complex
solids with cylindrical
elements
Calculate the surface area
of a cone
Calculate the surface area
of a sphere and complex
solids
14 Language Tasks & Quizzes 1 Match maths terms to their
definitions
Engage with the language
of SSM through wordsearch
puzzles
Engage with the language
of SSM through crossword
puzzles
Enter missing words in
statements concerning SSM
terms
Engage with the language
of SSM through hangman
game
15 Scale Drawings
Understand and measure
angles of elevation &
depression
Use a scale to calculate real
and map distances
Read and measure a 3-
figure bearing
Locate a point and the
relative position of 2 points
on a scale drawing given a
bearing and a distance
Construct a triangle
Solve a scale drawing
problem with bearings
16 Loci Construct the locus of a point with a simple path
Construct the locus of a point with a simple or
complex path
Construct the locus of a point with a simple or
complex path
17 Speed, Distance & Time
Calculate distance, speed,
time and average speed
Read and interpret a
distance-time graph
Calculate speed
Read and interpret a
distance-time graph
Calculate speed and average speed
Construct a distance-time
graph to solve a problem
Construct a distance-time
graph to solve a problem
Calculate average speed
18 Transformations 1 Identify the image of a
reflection
Perform a simple reflection
by drawing the image of an
object reflected in a line
Perform and describe a
translation: non-vector
instructions
Perform and describe a
simple rotation about a
point: multiples of 15O
Perform and describe a
simple enlargement: no
point of enlargement
19 Transformations 2
Perform and describe a
reflection on a coordinate
grid
Perform and describe a
translation on a coordinate
grid using vector notation
Perform and describe a
rotation about a point on a
coordinate grid
Perform and describe an
enlargement on a
coordinate grid with a
centre of enlargement:
whole positive scale factor
Perform and describe an
enlargement on a
coordinate grid with a
centre of enlargement:
fractional and negative integer scale factor
20 Similarity
Understand similarity and
congruence
Identify corresponding
sides and angles
Prove similarity for two
triangles
Calculate lengths on similar
shapes using ratio of
corresponding sides
Calculate length and area
using the linear scale factor
and area scale factor
Calculate length, area,
surface area, volume and
capacity using the linear,
area and volume scale factors
Solve problems with similar
shapes and solids
Quizzes: Mixed questions
on Topics 1 to 10;
differentiated from 1 to 7
21 Pythagoras Investigate, know and prove Pythagoras
Calculate the hypotenuse in a right angled triangle
Calculate a shorter side in a right angled triangle
Solve mixed problems using Pythagoras
Apply Pythagoras in 3D
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 38
Geometry & Measures Topics
Topic Target 1 Target 2 Target 3 Target 4 Target 5
22 Trigonometry 1
Engage with trigonometric nomenclature and
SOHCAHTOA
Calculate an angle using sin, cos and tan
Calculate a side using sin, cos and tan; required side
is the numerator
Calculate a side using sin, cos and tan; required side
is the denominator
Know the formula triangles from SOHCAHTOA
Calculate any side and any
angle
23 Trigonometry 2
Calculate any side and any
angle using trigonometry
Solve problems using trigonometry and
Pythagoras
Use the formula: area of a
triangle = ½ absinC
Calculate sides and angles
with the sine rule
Calculate sides and angles
with the cosine rule
Solve mixed trigonometry
problems
24 Circle Geometry
Calculate the circumference
of a circle and the perimeter of a complex
shape
Calculate the area of a
circle and a complex shape
Calculate the length of an
arc, the area of a sector and the area of a segment
Know and use circle
theorems that do not involve tangents
Know and use circle
theorems that involve tangents
25 Language Tasks & Quizzes 2
Engage with Maths
language by matching
terms to their descriptions
Engage with Maths
language through
wordsearch puzzles
Engage with Maths
language through
crossword puzzles
Engage with Maths
language by completing
sentences
Engage with Maths
language through Hangman
Quizzes: Mixed questions
on Topics 1 to 10;
Differentiated from 1 to 7
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 39
Topic 1 - Measurement 1
Target 1 Target 2 Target 3 Target 4 Target 5
Measure a distance using a slider and
fixed scale
Measure a distance using a moveable
ruler
Complete missing numbers along a
linear scale
Read a linear scale using interpolation Read a circular scale using
interpolation
1. Use a vertical slider to measure the
length of a line to the nearest millimetre
1. Use a ruler to measure the length
of a line to the nearest millimetre
1. Complete missing numbers along a
linear scale; whole numbers; scale progresses by 1
1. Read a horizontal linear scale; large
intervals multiples of 10; 10 small divisions
1. Read a static circular speedometer;
large intervals multiples of 10; 10 small divisions
2. Use a vertical slider to measure the
length of an image to the nearest
millimetre
2. Use a ruler to measure the length
of an image to the nearest millimetre
2. Complete missing numbers along a
linear scale; whole numbers; scale
progresses by 2
2. Read a horizontal linear scale; large
intervals multiples of 10; interpolation
required - 5 small divisions
2. Read a static circular speedometer;
large intervals multiples of 10;
interpolation required - 5 small
divisions
3. Use a vertical slider to measure the
length of an image to the nearest
millimetre
3. Use a ruler to measure the length
of an image to the nearest millimetre
3. Complete missing numbers along a
linear scale; whole numbers; scale
progresses by 5
3. Read a horizontal linear scale; large
intervals multiples of 100; 10 small
divisions
3. Read a circular dial; large intervals
multiples of 1,10, 100,1000; 10 small
divisions
4. Use a horizontal slider to measure
the height of an image to the nearest
millimetre
4. Use a ruler to measure the height
and width of an image to the nearest
millimetre
4. Complete missing numbers along a
linear scale; whole numbers; scale
progresses by 4, 5 and 6
4. Read a horizontal linear scale; large
intervals multiples of 100;
interpolation required - 5 small
divisions
4. Read a circular dial; large intervals
multiples of 1,10, 100,1000;
interpolation required - 5 small
divisions
5. Use a horizontal slider to measure
the height of an image to the nearest
millimetre
5. Use a ruler to measure the height
and width of an image to the nearest
millimetre
5. Complete missing numbers along a
linear scale; whole numbers; scale
progresses by 7, 8 and 9
5. Read a horizontal linear scale; large
intervals whole numbers; 10 small
divisions
5. Read a circular scale; large
intervals multiples of 10; 10 small
divisions
5. Use a horizontal slider to measure
the height of an image to the nearest millimetre; work out the average of 5
heights
5. Use a ruler to measure the height
and width of an image to the nearest millimetre; work out the average of 5
heights
6. Complete missing numbers along a
linear scale; decimals; 1dp; scale progresses by 0.1, 0.2 and 0.5
6. Read a horizontal linear scale; large
intervals whole numbers; interpolation required - 5 small divisions
6. Read a circular scale; large
intervals multiples of 1; interpolation required; 5 small divisions
Large intervals multiples of 100; 10
small divisions
7. Complete missing numbers along a
linear scale; decimals; 1dp; scale
progresses by 0.3, 0.4 and 0.6
7. Read a vertical linear scale; varied
large and small intervals;
interpolation required
7. Read a circular scale; large
intervals multiples of 10; interpolation
required; 5 small divisions
8. Complete missing numbers along a
linear scale; decimals; 2dp; scale
progresses by 0.01, 0.02 and 0.05
8. Read a vertical linear scale; varied
large and small intervals;
interpolation required
8. Read a circular scale; large
intervals multiples of 1,100;
interpolation required; 5 small
divisions
9. Complete missing numbers along a
linear scale; decimals; 2dp; scale
progresses by 0.01 to 0.09
9. Read a circular scale; large
intervals multiples of 0.1,0.01;
interpolation required; 5 small
divisions
10. Read a circular scale; large
intervals multiples of 0.001,0.001; interpolation required; 5 small
divisions
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 40
Topic 2 - Measurement 2
Target 1 Target 2 Target 3 Target 4 Target 5
Engage with units of measure and
their symbols
Convert between metric units of
length
Convert between metric units of mass Know approximate equivalences
between Imperial and metric units
Convert between Imperial and metric
units
Identify and calculate with upper and
lower bounds
1. Speed response; identify a unit of
measure and its symbol
1. Convert between metres and
centimetres; metres to 1 dp
1. Convert between kilograms and
grams; kilograms to 1 dp
1. Know approximate equivalences
between imperial and metric units
1. Understand upper and lower
bounds
2. Speed response; identify a unit of
measure and its symbol
2. Convert between metres and
centimetres; metres to 2 dp
2. Convert between kilograms and
grams; kilograms to 3 dp
2. Convert between miles and
kilometres, using 5 miles = 8
kilometre
2. Calculate upper and lower bounds
for measurements: nearest whole unit
3. Speed response; distinguish
between units of length, area, mass
and capacity & volume
3. Convert between centimetres and
millimetres; whole centimetres
3. Convert between grams and
milligrams; grams to 2 dp
3. Convert between miles and
kilometres, using 1 mile = 1.6 km
3. Calculate upper and lower bounds
for measurements: nearest 10 units
4. Convert between centimetres and
millimetres; centimetres to 1 dp
4. Convert between grams and
milligrams; grams to 3 dp
4. Convert between feet and inches,
and metres, using 1 inch = 2.54cm
4. Calculate upper and lower bounds
for measurements: nearest 100 units
5. Convert between kilometres and
metres; kilometres to 1 dp
5. Convert between tonnes and
kilograms; tonnes to 3 dp
5. Convert between pounds and
kilograms, using 1kg = 2.2lb
5. Calculate upper and lower bounds
for measurements: nearest ½ of a
unit
6. Convert between kilometres and
metres; kilometres to 3 dp
6. Solve problems in context involving
conversion between metric units of
mass
6. Convert between pounds and
kilograms, using 1kg = 2.2lb
6. Calculate upper and lower bounds
for measurements: nearest tenth of a
unit
7. Solve problems in context involving
conversion between metric units of length
7. Solve problems in context involving
conversion between metric units of mass
7. Problem solving; convert between
combined rates
7. Calculate upper and lower bounds
for measurements: nearest hundredth of a unit
8. Solve problems in context involving conversion between metric units of
length
8. Speed response; identify 2 equal masses expressed in different units
8. Calculate the greatest and least perimeter of a rectangle;
measurements: nearest whole unit
9. Speed response; identify 2 equal
lengths expressed in different units
9. Speed response; identify 2 equal
masses expressed in different units
9. Calculate the greatest and least
area of a rectangle; measurements:
nearest whole unit
10. Speed response; identify 2 equal
lengths expressed in different units
10. Speed response; identify 2 equal
masses expressed in different units
10. Calculate the greatest and least
perimeter of a rectangle;
measurements: nearest tenth of a
unit
11. Speed response; identify 2 equal
lengths expressed in different units
11. Calculate the greatest and least
value of a single stage calculation;
measurements: various accuracy
12. Speed response; identify 2 equal
lengths expressed in different units
12. Calculate the greatest and least
value of a multi-stage calculation;
measurements: various accuracy
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 41
Topic 3 - Line Symmetry
Target 1 Target 2 Target 3 Target 4 Target 5
Complete a single colour pattern of
squares with one line of symmetry
Complete a multi-coloured pattern of
squares with one line of symmetry
Complete a line pattern with one line
of symmetry
Identify the number of lines of
symmetry on a shape or pattern
Complete a pattern of squares with
two lines of symmetry
Distinguish between shapes with and
without line symmetry; identify the number of lines of symmetry; add 1
or 2 lines of symmetry to a pattern
1. Complete a single colour pattern
with one vertical line of symmetry; 24
squares
1. Complete a multi-colour pattern
with one vertical line of symmetry; 24
squares
1. Complete a line pattern with one
slant line of symmetry, adding 2 lines
1. Identify the number of lines of
symmetry on a geometric shape
1. Distinguish between capital letters
with and without line symmetry
2. Complete a single colour pattern
with one horizontal line of symmetry;
24 squares
2. Complete a multi-colour pattern
with one horizontal line of symmetry;
24 squares
2. Complete a line pattern with one
slant line of symmetry, adding 2 lines
2. Identify the number of lines of
symmetry on a geometric shape
2. Distinguish between capital letters
with and without line symmetry;
letters rotated
3. Complete a single colour pattern
with one vertical line of symmetry; 40
squares
3. Complete a multi-colour pattern
with one vertical line of symmetry; 40
squares
3. Complete a line pattern with one
slant line of symmetry, adding 2 lines
3. Identify the number of lines of
symmetry on a design
3. Identify the number of lines of
symmetry on capital letters
4. Complete a single colour pattern
with one horizontal line of symmetry;
40 squares
4. Complete a multi-colour pattern
with one horizontal line of symmetry;
40 squares
4. Complete a line pattern with one
slant line of symmetry, adding 3 lines
4. Engage with patterns with 2 lines of
symmetry by drawing a pattern which
automatically has 2 lines of symmetry
4. Identify the number of lines of
symmetry on capital letters; letters
rotated
5. Complete a single colour pattern
with one vertical line of symmetry; 60
squares
5. Complete a multi-colour pattern
with one vertical line of symmetry; 60
squares
5. Complete a line pattern with one
slant line of symmetry, adding 3 lines
5. Draw a pattern with 2 lines of
symmetry; 48 squares
5. Distinguish between road signs with
and without line symmetry
6. Complete a single colour pattern
with one horizontal line of symmetry; 60 squares
6. Complete a multi-colour pattern
with one horizontal line of symmetry; 60 squares
6. Complete a line pattern with one
slant line of symmetry, adding 3 lines
6. Draw a pattern with 2 lines of
symmetry; 96 squares
6. Add a line of symmetry to a single
colour pattern
7. Complete a single colour pattern
with one slant line of symmetry; 24
squares
7. Complete a multi-colour pattern
with one slant line of symmetry; 24
squares
7. Complete a line pattern on
isometric dotted grid with one vertical
line of symmetry
7. Draw a pattern with 2 lines of
symmetry; 192 squares
7. Add a line of symmetry to a multi-
colour pattern
8. Complete a single colour pattern
with one slant line of symmetry; 40
squares
8. Complete a multi-colour pattern
with one slant line of symmetry; 40
squares
8. Complete a line pattern on
isometric dotted grid with one vertical
line of symmetry
8. Draw a pattern with 2 lines of
symmetry; 320 squares
8. Add 2 lines of symmetry to a single
colour pattern
9. Complete a single colour pattern
with one slant line of symmetry; 60
squares
9. Complete a multi-colour pattern
with one slant line of symmetry; 60
squares
9. Complete a line pattern on
isometric dotted grid with one vertical
line of symmetry
9. Draw a pattern with 2 lines of
symmetry; 96 squares; optional
motion
9. Add 2 lines of symmetry to a multi-
colour pattern
10. Complete a single colour pattern
with one slant line of symmetry; 40
squares
10. Complete a multi-colour pattern
with one slant line of symmetry; 40
squares
10. Complete a line pattern on
isometric dotted grid with one vertical
line of symmetry
10. Draw a pattern with 2 lines of
symmetry; 192 squares; optional
motion
10. Add 2 lines of symmetry to a
multi-colour pattern
11. Complete a single colour pattern
with one slant line of symmetry; 76
squares
11. Complete a multi-colour pattern
with one slant line of symmetry; 76
squares
11. Complete a line pattern on
isometric dotted grid with one vertical
line of symmetry
11. Add 2 lines of symmetry to a
multi-colour pattern
Maths Workout - Geometry & Measures
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Topic 4 - Rotational Symmetry
Target 1 Target 2 Target 3 Target 4
Engage with rotational symmetry in
nature, geometry, patterns and kaleidoscopes
Identify the order of rotational
symmetry
Complete a pattern with rotational
symmetry
Complete a pattern with rotational
symmetry
1. Engage with rotational symmetry in nature
1. Identify the order of rotational symmetry for a polygon
1. Engage with a pattern with rotational symmetry order 2
1. Complete a multi-colour line pattern with rotational symmetry
order 3
2. Engage with rotational symmetry in
nature
2. Identify the order of rotational
symmetry for a polygon
2. Complete a single colour pattern
with rotational symmetry order 2
2. Complete a single colour line
pattern with rotational symmetry
order 3
3. Engage with rotational symmetry
by observing a simplified snowflake
rotate around its centre
3. Identify the order of rotational
symmetry for a polygon
3. Complete a single colour pattern
with rotational symmetry order 2
3. Complete a multi-colour pattern
with rotational symmetry order 4
4. Engage with rotational symmetry by
observing a regular pentagon rotate
4. Identify the order of rotational
symmetry for geometric shape
4. Complete a multi-colour pattern
with rotational symmetry order 2
4. Complete a single colour pattern
with rotational symmetry order 4
5. Engage with rotational symmetry
by observing a regular octagon rotate
around its centre
5. Identify the order of rotational
symmetry for geometric shape
5. Complete a multi-colour pattern
with rotational symmetry order 2
5. Complete a multi-colour line
pattern with rotational symmetry
order 6
6. Engage with rotational symmetry
by observing a design rotate around
its centre
6. Identify the order of rotational
symmetry for geometric shape
6. Complete a multi-colour pattern
with rotational symmetry order 2
6. Complete a single colour line
pattern with rotational symmetry
order 6
7. Engage with rotational symmetry
by changing criteria on a kaleidoscope
Maths Workout - Geometry & Measures
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Topic 5 - Plane Symmetry
Target 1 Target 2 Target 3
Engage with plane symmetry
Identify the number of planes of
symmetry
Identify the number of planes of
symmetry
1. Understand plane symmetry 1. Identify the number of symmetry
planes of a cube
1. Identify the number of symmetry
planes of a pentagonal prism
2. Observe plane symmetry in nature 2. Identify the number of symmetry planes of a cuboid with no square
faces
2. Identify the number of symmetry planes of a hexagonal prism
3. Distinguish between solids with and
without plane symmetry
3. Identify the number of symmetry
planes of a cuboid with a square
cross-section
3. Identify the number of symmetry
planes of a cone
4. Identify the number of symmetry
planes of a cylinder
4. Identify the number of symmetry
planes of a square prism
5. Identify the number of symmetry
planes of an equilateral triangular
prism
6. Identify the number of symmetry
planes of an isosceles triangular prism
7. Identify the number of symmetry
planes of a scalene triangular prism
Maths Workout - Geometry & Measures
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Topic 6 - Shapes
Target 1 Target 2 Target 3
Recognise and explore facts about
triangles, quadrilaterals and regular polygons
Recognise and explore facts about
triangles, quadrilaterals and regular polygons
Solve problems and puzzles with
shapes
1. Know the properties of equilateral, Isosceles, right-angled and scalene
triangles
1. Identify the names of triangles and quadrilaterals
1. Problem Solving: Recognise a shape from a limited view
2. Know the properties of a square,
rectangle, kite, parallelogram,
rhombus and trapezium
2. Identify the names of quadrilaterals
and polygons
2. Problem Solving: Recognise a
shape from clues
3. Know the properties of regular
polygons: equilateral triangle, square,
pentagon, hexagon, octagon and
decagon
3. Identify the names of polygons, a
semicircle and an ellipse
4. Engage with the concept of a
regular polygon tending to a circle
4. Match the name of a polygon with
the correct number of sides; 3 - 10
5. Know the properties of a circle 5. Match the name of a polygon with
the correct number of sides; 10 - 100
6. Quiz: Enter the name of the shape
Maths Workout - Geometry & Measures
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Topic 7 - Solids
Target 1 Target 2 Target 3 Target 4 Target 5
Identify the number of faces, edges
and vertices on a range of solids
Identify the number of faces, edges
and vertices on a range of solids
Identify the number of faces, edges
and vertices on a range of solids
Identify the number of faces, edges
and vertices on a range of solids
Investigate Euler’s formula
Solve problems and puzzles with
solids
1. Observe a range of solids Tasks 1-10. Enter the number of vertices, edges and faces for a...
1. Cube
Tasks 1-7. Enter the number of vertices, edges and faces for a...
1. Hexahedron
Tasks 1-8. Enter the number of vertices, edges and faces for a...
1. Decagonal prism
1. Problem Solving: Recognise the nets of a cube
2. Observe a range of solids; click to
see a close-up and name
2. Cuboid 2. Octahedron 2. Dodecagonal prism 2. Engage with the 11 nets of a cube;
observe them fold up
3. Identify the names of solids 3. Triangular prism 3. Octagonal-based pyramid 3. Dodecagonal prism 3. Distinguish between a proper net
and a false net
4. Identify the names of solids 4. Triangular-based pyramid
4. Decagonal-based pyramid 4. Cone 4. Distinguish between a proper net
and a false net
5. Identify the names of solids 5. Tetrahedron 5. Dodecagonal-based pyramid 5. Cylinder 5. Name a solid from its net
6. Square-based pyramid 6. Hexagonal prism 6. Dodecahedron 6. Problem Solving: Recognise a solid
from a limited view
7. Pentagonal-based pyramid 7. Octagonal prism 7. Icosahedron 7. Problem Solving: Recognise a solid
from clues
8. Pentagonal-based prism 8. Investigate Euler’s formula
9. Hexagonal-based pyramid
10. Hexagonal-based prism
Maths Workout - Geometry & Measures
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Topic 8 - Angles
Target 1 Target 2 Target 3 Target 4
Work with angle types and sizes
Estimate and measure angles
Estimation an angle drawing
Calculate angles along a straight line,
at a vertex and around a point
Calculate angles in triangles and
quadrilaterals
Calculate angles created by parallel
lines and a transverse and other quadrilaterals
1. Identify all the right angles in a picture
1. Calculate angles along a straight line; horizontal
1. Calculate angles in a triangle 1. Calculate alternate angles
2. Distinguish between right angles
and non-right angles
2. Calculate angles along a straight
line
2. Calculate angles in a triangle 2. Calculate alternate angles
3. Know acute, right, obtuse, straight,
reflex and complete turn
3. Calculate angles along a straight
line; includes right angles
3. Calculate angles in a right-angled
triangle
3. Calculate complementary angles
4. Identify the names of angles:
acute, right, obtuse, straight, reflex,
complete turn
4. Calculate vertically opposite angles 4. Calculate angles in an isosceles
triangle
4. Calculate complementary angles
5. Identify an angle: acute, right,
obtuse, straight, reflex or complete
turn
5. Calculate angles around a point 5. Calculate angles in an isosceles
triangle
5. Calculate angles in a parallelogram
6. Speed response: separate angles
into: acute, right, obtuse, straight,
reflex or complete turn
6. Calculate angles around a point 6. Calculate angles in mixed diagrams 6. Calculate angles in a rhombus
7. Estimate and measure the size of
an acute angle
7. Calculate angles around a point;
includes right angles
7. Calculate angles in a quadrilateral
with at least one right angle
7. Calculate angles in a trapezium
8. Estimate and measure the size of
an obtuse angle
8. Calculate angles in a quadrilateral 8. Calculate angles in varied diagrams
9. Estimate and measure the size of
an acute or obtuse angle
9. Calculate angles in a kite 9. Calculate angles in varied diagrams
10. Estimate and measure the size of
an acute or obtuse angle; inside scale
of protractor
10. Calculate angles in varied
diagrams
11. Estimate an acute or obtuse angle
by drawing
Maths Workout - Geometry & Measures
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Topic 9 - Angles in a Polygon
Target 1 Target 2 Target 3
Calculate the exterior and interior
angles of a regular polygon
Calculate the sum of the interior
angles of a polygon
Calculate angles in diagrams involving
regular polygons
1. Understand how external angles
are drawn on an irregular polygon
1. Understand that the external and
internal angles add up to 180o
1. Calculate internal and external
angles in a regular polygon
2. Know how to sum the external angles of a polygon, considering only
a single external angle at each vertex
2. Complete the table of regular polygons, external and internal angles
2. Calculate angles in diagrams involving regular polygons
3. Understand that the sum of the
external angles of a pentagon is 360o
3. Demo: the angles of a triangle add
up to 180o
3. Calculate angles in diagrams
involving regular polygons
4. Understand that the sum of the
external angles of a polygon is 360o
4. Demonstration: the angles of a
quadrilateral add up to 360o
4. Calculate angles in diagrams
involving regular polygons
5. Calculate the external angle of a
regular polygon
5. Observe the pattern in splitting
polygons into triangles
5. Calculate angles in diagrams
involving regular polygons
6. Complete a table of external angles
and polygons
6. Calculate the total internal angles
by splitting a polygon into triangles
7. Answer mixed questions on Targets
3 and 4
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Topic 10 - Perimeter
Target 1 Target 2
Calculate the perimeter of a simple
rectilinear shape
Calculate the circumference of a circle
and the perimeter of a complex shape with circular elements
1. Calculate the perimeter of a square and rectangle given all 4 sides
1. Know the formula for the circumference of a circle
2. Calculate the perimeter of a square
and rectangle given 2 sides
2. Calculate the circumference of a
circle
3. Calculate the perimeter of a
rectilinear shape given all the sides
3. Calculate the perimeter of a shape
with circular elements
4. Calculate the perimeter of a
rectilinear shape given some of the
sides
4. Calculate the perimeter of a shape
with circular elements; extension
5. Calculate the perimeter of a
rectilinear shape given some of the
sides
5. Calculate the perimeter of a shape
with circular elements; extension
6. Calculate the perimeter of capital
letters drawn on a square background
6. Calculate the perimeter of a shape
with circular elements; extension
Maths Workout - Geometry & Measures
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Topic 11 - Area
Target 1 Target 2 Target 3 Target 4 Target 5
Estimate the area of shapes by
counting squares and half-squares
Calculate the area of a square,
rectangle and complex shape
Convert between metric units of area
Calculate the area of a triangle and
complex shapes with triangular elements
Calculate the area of a circle and
complex shapes with circular elements
Calculate the area of a kite, rhombus,
trapezium, parallelogram and complex shape
1. Estimate area by counting squares 1. Calculate the area of a square and rectangle; whole number sides
1. Demo: Understand how the area of a triangle can be shown to be half the
area of a rectangle
1. Demo: Understand how the area of a circle can be shown to be r2
1. Demo: Understand how the area of a kite can be shown to be half the
area of the surrounding rectangle
2. Estimate area by counting squares 2. Calculate the area of a square and
rectangle; decimal side values
2. Demo: calculate the area of a
triangle
2. Calculate the area of a circle given
the radius or diameter
2. Calculate the area of a kite
3. Estimate area by counting squares 3. Demo: Understand how to calculate
the area of a complex shape
3. Calculate the area of a triangle 3. Calculate the area of a shapes with
circular elements
3. Demo: Understand how the area of
a parallelogram is the area of a
rectangle
4. Estimate area by counting squares 4. Calculate the area of a complex
shape
4. Calculate the area of a triangle 4. Calculate the area of a shapes with
circular elements; extension
4. Calculate the area of a
parallelogram
5. Calculate the area of a complex
shape
5. Calculate the area of a complex
shape with triangular elements
5. Calculate the area of a shapes with
circular elements; extension
5. Demo: Understand how the area of
a rhombus can be calculated as a kite
or a parallelogram depending on the
information given
6. Demo: Understand how to calculate
the area of a shape with a cut-out
6. Calculate the area of a complex
shape with triangular elements
6. Calculate the area of a shapes with
circular elements; extension
6. Calculate the area of a rhombus
7. Calculate the area of a shape with a
cut-out
7. Calculate the area of a shapes with
circular elements; extension
7. Demo: Understand how the area of
a trapezium can be calculated as a
rectangle
8. Convert between square units 8. Calculate the area of a trapezium
9. Solve problems on perimeter and
area
9. Calculate the area of a complex
shape
10. Solve problems on perimeter and
area
10. Calculate the area under a graph;
extension
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Topic 12 - Capacity & Volume
Target 1 Target 2 Target 3 Target 4 Target 5
Understand and convert between units
of capacity and volume
Read a scale using interpolation to
find the amount of liquid in a container
Find the volume of a solid by counting
cubes and half-cubes
Calculate the volume of a cube and
cuboid
Calculate the capacity of a cuboid
container and the amount of liquid it contains
1. Know the difference between capacity and volume and the units of
each
1. Read a scale to find the amount of liquid in a container
1. Find the volume of a solid by counting cubes
1. Calculate the volume of a cube and cuboid: unit length markings
1. Calculate the capacity of a cuboid in millilitres
2. Know the equivalence of units of
capacity and volume, and the uses of
each
2. Read a scale using interpolation to
find the amount of liquid in a
container
2. Find the volume of a solid by
counting cubes
2. Calculate the volume of a cube and
cuboid: unit length markings
2. Calculate the capacity of a cuboid;
convert to litres
3. Know some uses of the units of
capacity and volume
3. Read a scale using interpolation to
find the amount of liquid in a
container
3. Find the volume of a solid by
counting cubes
3. Calculate the volume of a complex
solid: unit length markings
3. Calculate the quantity of liquid in a
container in millilitres
4. Convert between litres and
millilitres; litres to 1dp
4. Read a scale using interpolation to
find the amount of liquid in a
container
4. Find the volume of a solid by
counting cubes
4. Calculate the quantity of liquid in a
container; convert to litres
5. Convert between litres and
millilitres; litres to 3dp
5. Find the volume of a solid by
counting cubes
5. Calculate the quantity of liquid in a
container; convert to litres where
necessary
6. Convert between litres and
centilitres; litres to 1dp
6. Find the volume of a solid by
counting cubes and half cubes
6. Calculate the quantity of liquid in a
container
7. Convert between centilitres and
millilitres; centilitres to 1dp
7. Find the volume of a solid by
counting cubes and half cubes
7. Calculate the quantity of liquid in a
container
8. Convert between litres and cubic
centimetres; litres to 1dp
8. Find the volume of a solid by
counting cubes and half cubes
8. Calculate the quantity of liquid in a
container
9. Convert between litres and cubic
centimetres; litres to 3dp
9. Find the volume of a solid by
counting cubes and half cubes
9. Calculate the quantity of liquid in a
container
10. Solve problems in context involving capacity and volume
10. Find the volume of a solid by counting cubes and half cubes
10. Calculate the quantity of liquid in a complex container; extension
11. Solve problems in context involving capacity and volume
12. Speed response: identify two
equivalent amounts
13. Speed response: identify two
equivalent amounts
14. Speed response: identify two
equivalent amounts
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Topic 13 - Volume
Target 1 Target 2 Target 3 Target 4
Calculate the volume of a cube,
cuboid and complex solid
Calculate the volume of a prism Calculate the volume of a cylinder and
complex solid with cylindrical elements
Calculate the volume of a pyramid,
cone, sphere and complex solid
1. Calculate the volume of a cube and cuboid
1. Calculate the volume of a prism given the cross-sectional area and the
length
1. Calculate the volume of a cylinder 1. Calculate the volume of a pyramid given the area of the base and the
height
2. Calculate the volume of a cube and
cuboid
2. Calculate the volume of a prism;
cross-sectional area = complex
rectangular
2. Calculate the quantity of liquid in a
cylindrical container; convert to litres
2. Calculate the volume of a pyramid
3. Calculate the volume of a cube and
cuboid
3. Calculate the volume of a prism;
cross-sectional area = complex
rectangular and triangular
3. Calculate the volume of a complex
cylindrical solid
3. Calculate the volume of a cone and
part cone
4. Calculate the volume of a complex
solid
4. Calculate the volume of a prism;
cross-sectional area = trapezium,
parallelogram, rhombus, kite
4. Calculate the volume of a sphere
and part sphere
5. Calculate the volume of a complex
solid
5. Calculate the volume of complex
solids
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Topic 14 - Surface Area
Target 1 Target 2 Target 3 Target 4
Calculate the surface area of a cube,
cuboid and complex solid
Calculate the surface area of a
cylinder and complex solids with cylindrical elements
Calculate the surface area of a cone Calculate the surface area of a sphere
and complex solids
1. Calculate the surface area of a cube 1. Calculate the curved surface area of a cylinder
1. Calculate the curved surface area of a cone
1. Calculate the surface area of a sphere
2. Calculate the surface area of a
cuboid
2. Calculate the total surface area of a
cylinder
2. Calculate the total surface area of a
cone
2. Calculate the curved surface area
of a sphere and part sphere
3. Calculate the surface area of a
cuboid
3. Calculate the curved surface area
of a part cylinder and complex
cylindrical solid
3. Calculate the total surface area of a
sphere and part sphere
4. Calculate the surface area of a
complex solid
4. Calculate the total surface area of a
part cylinder and complex cylindrical
solid
4. Calculate the curved surface area
of a complex solid
5. Calculate the total surface area of a
complex solid
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Topic 15 - Language Tasks & Quizzes 1
Target 1 Target 2 Target 3 Target 4 Target 5
Engage with Maths language by
matching terms to their descriptions
Engage with Maths language through
wordsearch puzzles
Engage with Maths language through
crossword puzzles
Engage with Maths language by
completing sentences
Engage with Maths language through
Hangman
Quizzes: Mixed questions on Topics 1
to 13; Differentiated from 1 to 7
1. Match terms to their descriptions 1. Complete a wordsearch 1. Complete a crossword 1. Enter missing words in sentences 1. Quiz: Mixed questions from Topics
1 to 13
2. Match terms to their descriptions 2. Complete a wordsearch 2. Complete a crossword 2. Enter missing words in sentences 2. Quiz: Mixed questions from Topics
1 to 13
3. Match terms to their descriptions 3. Complete a wordsearch 3. Complete a crossword 3. Enter missing words in sentences 3. Quiz: Mixed questions from Topics
1 to 13
4. Match terms to their descriptions 4. Complete a wordsearch 4. Complete a crossword 4. Enter missing words in sentences 4. Quiz: Mixed questions from Topics
1 to 13
5. Match terms to their descriptions 5. Complete a wordsearch 5. Complete a crossword 5. Enter missing words in sentences 5. Quiz: Mixed questions from Topics
1 to 13
6. Match terms to their descriptions 6. Complete a wordsearch 6. Complete a crossword 6. Enter missing words in sentences 6. Quiz: Mixed questions from Topics
1 to 13
7. Match terms to their descriptions 7. Complete a wordsearch 7. Complete a crossword 7. Enter missing words in sentences 7. Quiz: Mixed questions from Topics
1 to 13
8. Match terms to their descriptions 8. Enter missing words in sentences
9. Match terms to their descriptions
10. Match terms to their descriptions
11. Match terms to their descriptions
12. Match terms to their descriptions
13. Match terms to their descriptions
Maths Workout - Geometry & Measures
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Topic 16 - Scale Drawings
Target 1 Target 2 Target 3 Target 4 Target 5
Understand and measure angles of
elevation & depression
Use a scale to calculate real and map
distances
Read and measure a 3-figure bearing Locate a point and the relative
position of 2 points on a scale drawing given a bearing and a distance
Construct a triangle
Solve a scale drawing problem with bearings
1. Demo: Understand how an angle of elevation is measured
1. Simplify a map scale expressed as a ratio of quantities: unitary ratios
1. Demo: Understand how 3-figure bearings are written and calculated
1. Use a 360o angle measurer to locate a point on a given bearing
1. Construct a triangle given 1 side and 2 angles
2. Demo: Understand how an angle of
depression is measured
2. Simplify a map scale expressed as
a ratio of quantities
2. Use a 360o angle measurer to
measure a bearing
2. Locate a point on a given bearing 2. Construct a triangle given 1 side
and 2 angles: measure the sides
produced
3. Measure an angle of elevation with
a protractor
3. Convert between scales expressed
with units and scales expressed as
pure ratios
3. Read a 3-figure bearing given
clockwise angle
3. Locate the relative position of 2
points given a bearing measured from
either point
3. Construct a triangle given 2 sides
and the included angle
4. Measure an angle of depression
with a protractor
4. Calculate the real distance given
the scale and the map distance
4. Read a 3-figure bearing less than
100o given clockwise angle
4. Locate the relative position of 2
points given a bearing and the
distance: scale 1cm:1km
4. Construct a triangle given 2 sides
and the included angle: measure 1
angle and the side produced
5. Calculate the map distance given
the scale and the real distance
5. Read a 3-figure bearing given
anticlockwise angle
5. Locate the relative position of 2
points given a bearing and the
distance: scale 1cm:2km
5. Solve a bearing problem by
completing a scale drawing
6. Calculate the real or map distance
given the scale
6. Read the bearing of A from P or P
from A given a connecting angle
6. Locate the relative position of 2
points given a bearing and the
distance: scale 1cm:5km
6. Solve a bearing problem by
completing a scale drawing
7. Use an ordinary 180o protractor to
measure a bearing of A from P or P from A
7. Locate the relative position of 2
points given a bearing and the distance: variable scale in ratio form
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Topic 17 - Loci
Target 1 Target 2 Target 3
Construct the locus of a point with a
simple path
Construct the locus of a point with a
simple or complex path
Construct the locus of a point with a
simple or complex path
1. Draw the locus of a point which is
equidistant from 2 points: horizontal alignment
1. Draw the locus of a point which is
equidistant from a point
1. Draw the locus of the centre of a
ball as it moves around the inside of a container: with assistance
2. Draw the locus of a point which is
equidistant from 2 points: vertical
alignment
2. Draw the locus of a point which is
equidistant from a line segment
2. Draw the locus of the centre of a
ball as it moves around the inside of a
container
3. Draw the locus of a point which is
equidistant from 2 points: slant
alignment
3. Draw the locus of a point which is
equidistant from a square (outside)
3. Draw the locus of a dog which is
tethered to a square shed
4. Draw the locus of a point which is
equidistant from 2 parallel lines
4. Draw the locus of a point which is
equidistant from a rectangle (outside)
4. Draw the locus of a dog which is
tethered to a rectangular shed
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Topic 18 - Speed, Distance & Time
Target 1 Target 2 Target 3 Target 4 Target 5
Calculate distance, speed, time and
average speed
Read and interpret a distance-time
graph
Calculate speed
Read and interpret a distance-time
graph
Calculate speed and average speed
Construct a distance-time graph to
solve a problem
Construct a distance-time graph to
solve a problem
Calculate average speed
1. Calculate a journey time in hours and minutes: start and finish in the
same day: 24hr clock
1. Read and interpret a distance time graph: 3 sections
1. Read and interpret a distance-time graph
1. Construct a distance time graph: 3 sections
1. Construct a distance time graph: 5 sections
2. Calculate a journey time in hours
and minutes: some journeys across
midnight: 24hr clock
2. Read and interpret a distance time
graph: 3 sections
2. Read and interpret a distance-time
graph
2. Construct a distance time graph: 3
sections
2. Construct a distance time graph: 5
sections
3. Complete missing entries in the
conversion between minutes, hours
and minutes, and tenths of hours
3. Read and interpret a distance time
graph: 3 sections
3. Read and interpret a distance-time
graph
3. Construct a distance time graph: 3
sections 3. Construct a distance time graph: 5
sections
4. Demo: Know formulas for steady
speed, distance and time: formula
triangle
4. Read and interpret a distance time
graph: 5 sections
4. Read and interpret a distance-time
graph
4. Construct a distance time graph: 3
sections
4. Construct a distance time graph: 5
sections
5. Calculate steady speed, distance
and time
5. Read and interpret a distance time
graph: 5 sections: calculate speed
5. Read and interpret a distance-time
graph
5. Construct a distance time graph: 3
sections: return journey
5. Construct a distance time graph: 5
sections: return journey
6. Calculate steady speed, distance
and time
6. Read and interpret a distance time
graph: 5 sections: calculate speed
6. Read and interpret a distance-time
graph
6. Construct a distance time graph: 3
sections: return journey 6. Construct a distance time graph: 5
sections: return journey
7. Demo: Know and use the formula
for average speed
7. Understand the meaning of the
gradient of a line and a horizontal line
7. Read and interpret a distance-time
graph
7. Construct a distance time graph: 3
sections: return journey 7. Construct a distance time graph: 5
sections: return journey
8. Calculate average speed given 2
journey parts
8. Read and interpret a distance-time
graph
8. Construct a distance time graph: 3
sections: return journey 8. Construct a distance time graph: 5
sections: return journey
9. Calculate average speed given 3
parts of a journey including a rest
9. Construct a distance time graph: 3
sections: return journey
10. Convert between m/s and km/h 10. Construct a distance time graph:
3 sections: return journey
11. Solve mixed problems with speed,
distance and time
12. Solve mixed problems with speed, distance and time
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Topic 19 - Transformations 1
Target 1 Target 2 Target 3 Target 4 Target 5
Identify the image of a reflection Perform a simple reflection by drawing
the image of an object reflected in a line
Perform and describe a translation:
non-vector instructions
Perform and describe a simple
rotation about a point: multiples of 15O
Perform and describe a simple
enlargement: no point of enlargement
1. Identify the correct position of the image of an object reflected in a
vertical line
1. Draw the image of a simple object reflected in a vertical line
1. Locate the image of a translated object
1. Locate the image of a rotated object rotated: shape attached to the
point of rotation: top centre start
1. Draw the image of an enlarged square: scale factor 2 or 3
2. Identify the correct position of the
image of an object reflected in a
vertical line
2. Draw the image of a simple object
reflected in a horizontal line
2. Locate the image of a translated
object
2. Locate the image of a rotated
object: shape attached to the point of
rotation
2. Draw the image of an enlarged
square
3. Identify the correct position of the
image of an object reflected in a
vertical line
3. Draw the image of a simple object
reflected in a slant line
3. Locate the image of a translated
object
3. Locate the image of a rotated
object: shape attached to the point of
rotation
3. Draw the image of an enlarged
rectangle
4. Identify the correct position of the
image of an object reflected in a
horizontal line
4. Draw the image of an object
reflected in a vertical line
4. Draw the image of a translated
object
4. Locate the image for an object
rotated around a point: top centre
start
4. Draw the image of an enlarged
right-angled triangle: scale factor 2 or
3
5. Identify the correct position of the
image of an object reflected in a
horizontal line
5. Draw the image of an object
reflected in a horizontal line
5. Draw the image of a translated
object
5. Locate the image for an object
rotated around a point
5. Draw the image of an enlarged
right-angled triangle
6. Identify the correct position of the
image of an object reflected in a
horizontal line
6. Draw the image of an object
reflected in a slant line
6. Draw the image of a translated
object
6. Locate the image for an object
rotated around a point
6. Draw the image of an enlarged non
right-angled triangle
7. Identify the correct position of the image of an object reflected in a line
at a 45o angle
7. Draw the image of a complex object reflected in a vertical line
7. Describe a translation given the object and image
7. Describe a rotation: shape attached to the point of rotation: top centre
start
7. Draw the image of an enlarged quadrilateral
8. Identify the correct position of the
image of an object reflected in a line
at a 45o angle
8. Draw the image of a complex
object reflected in a horizontal line
8. Describe a translation given the
object and image
8. Describe a rotation: shape attached
to the point of rotation
8. Draw the image of an enlarged
pentagon
9. Identify the correct position of the
image of an object reflected in a line
at a 45o angle
9. Draw the image of a complex
object reflected in a slant line
9. Describe a translation given the
object and image
9. Describe a rotation: shape attached
to the point of rotation
9. Draw the image of an enlarged
hexagon
10. Draw the image of a complex
object reflected in a line
10. Describe a rotation: top centre
start
10. Draw the image of an enlarged
octagon
11. Draw the image of a very complex
object reflected in a line
11. Describe a rotation 11. Identify the scale factor of
enlargement: quadrilaterals
12. Describe a rotation 12. Identify the scale factor of
enlargement: pentagons
13. Identify the scale factor of
enlargement: hexagons
14. Identify the scale factor of
enlargement: octagons
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 58
Topic 20 - Transformations 2
Target 1 Target 2 Target 3 Target 4 Target 5
Perform and describe a reflection on a
coordinate grid
Perform and describe a translation on
a coordinate grid using vector notation
Perform and describe a rotation about
a point on a coordinate grid
Perform and describe an enlargement
on a coordinate grid with a centre of enlargement: whole positive scale
factor
Perform and describe an enlargement
on a coordinate grid with a centre of enlargement: fractional scale factor
(Tasks 1-6) and negative integer scale
factor (Tasks 7-12)
1. Draw the image of an object
reflected in the y-axis
1. Locate the image of a translated
object
1. Locate the image of a rotated
object rotated: shape attached to the point of rotation: top centre start
1. Demo: Understand how the centre
of enlargement, object and image are connected: triangle
1. Demo: Understand how the centre
of enlargement, object and image are connected: triangle
2. Draw the image of an object
reflected in the x-axis
2. Locate the image of a translated
object
2. Locate the image of a rotated
object: shape attached to the point of
rotation
2. Demo: Understand how the centre
of enlargement, object and image are
connected: square
2. Demo: Understand how the centre
of enlargement, object and image are
connected: square
3. Draw the image of an object reflected in the line y = x and y = -x
3. Locate the image of a translated object
3. Locate the image of a rotated object: shape attached to the point of
rotation
3. Identify the centre and scale factor of enlargement: triangles: 1st
quadrant
3. Identify the centre and scale factor of enlargement: triangles
4. Draw the image of an object reflected in a given vertical line:
equation given and line shown
4. Draw the image of a translated object
4. Locate the image for an object rotated around a point: top centre
start
4. Identify the centre and scale factor of enlargement: quadrilaterals: 1st
quadrant
4. Identify the centre and scale factor of enlargement: quadrilaterals
5. Draw the image of an object reflected in a given horizontal line:
equation given and line shown
5. Draw the image of a translated object
5. Locate the image for an object rotated around a point
5. Identify the centre and scale factor of enlargement: triangles
5. Draw the image of an enlarged triangle
6. Draw the image of an object reflected in a line with gradient 1 or -
1: equation given and line shown
6. Draw the image of a translated object
6. Locate the image for an object rotated around a point
6. Identify the centre and scale factor of enlargement: quadrilaterals
6. Draw the image of an enlarged quadrilateral
7. Identify the equation of the line of
reflection given object and image:
vertical line
7. Describe a translation given the
object and image
7. Describe a rotation: shape attached
to the point of rotation: top centre
start
7. Identify the centre and scale factor
of enlargement: pentagons
7. Demo: Understand how the centre
of enlargement, object and image are
connected: triangle
8. Identify the equation of the line of reflection given object and image:
horizontal line
8. Describe a translation given the object and image
8. Describe a rotation: shape attached to the point of rotation
8. Draw the image of an enlarged triangle
8. Demo: Understand how the centre of enlargement, object and image are
connected: square
9. Identify the equation of the line of reflection given object and image:
gradient 1 or -1
9. Describe a translation given the object and image
9. Describe a rotation: shape attached to the point of rotation
9. Draw the image of an enlarged quadrilateral
9. Identify the centre and scale factor of enlargement: triangles
10. Identify the equation of the line of reflection given object and image: any
of the above
10. Describe a rotation: top centre start
10. Draw the image of an enlarged pentagon
10. Identify the centre and scale factor of enlargement: quadrilaterals
11. Draw the image of an object reflected in vertical line: only equation
given
11. Describe a rotation 11. Draw the image of an enlarged hexagon
11. Draw the image of an enlarged triangle
12. Draw the image of an object
reflected in a horizontal line: only equation given
12. Describe a rotation 12. Draw the image of an enlarged
octagon
12. Draw the image of an enlarged
quadrilateral
13. Draw the image of an object
reflected in a line with gradient 1 or -
1: only equation given
14. Draw the image of an object reflected in a line: only equation given
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 59
Topic 21 - Similarity
Target 1 Target 2 Target 3 Target 4 Target 5
Understand similarity and congruence
Identify corresponding sides and angles
Prove similarity for two triangles
Calculate lengths on similar shapes
using ratio of corresponding sides
Calculate length and area using the
linear scale factor and area scale factor
Calculate length, area, surface area,
volume and capacity using the linear, area and volume scale factors
Calculate length, area, surface area,
volume and capacity using the linear, area and volume scale factors
Solve problems with similar shapes
and solids
1. Demo: Know basic idea of similarity
and congruence and the connection
with enlargement
1. Demo: Calculate a length on a
similar shape using the ratio of
corresponding sides
1. Demo: Identify the linear scale
factor (l.s.f.) for an enlargement
1. Investigation: Derive the volume
scale factor (v.s.f.) from the linear
scale factor (l.s.f.)
1. Calculate a volume on a similar
solid given the l.s.f. as a fraction
2. Speed response: Identify congruent
shapes
2. Calculate lengths on similar
triangles: enlargement: whole
answers
2. Calculate the l.s.f. for an
enlargement
2. Demo: Derive the v.s.f. from the
l.s.f and calculate a volume
2. Calculate a length on a similar solid
given the v.s.f.
3. Speed response: Identify similar
shapes
3. Calculate lengths on similar
triangles: reduction: whole answers
3. Calculate the l.s.f. for a reduction 3. Derive the v.s.f. from the l.s.f. and
calculate a volume
3. Calculate a length on a similar solid
given both volumes
4. Speed response: Identify which
pairs shapes must be similar and
which are not necessarily similar
4. Calculate lengths on similar
shapes: whole answers
4. Demo: Calculate a length on a
similar shape using the l.s.f.
4. Derive the v.s.f. from the l.s.f. and
calculate a capacity in ml
4. Solve mixed problems involving
similarity including surface area
5. Demo: Know conditions for
similarity
5. Calculate lengths on similar shapes 5. Calculate a length on a similar
shape using the l.s.f.
5. Derive the v.s.f. from the l.s.f. and
calculate a capacity in litres
5. Solve mixed problems involving
similarity including surface area
6. Speed response: Identify the
corresponding sides in two similar
shapes
6. Calculate lengths on similar
shapes: obscure diagrams
6. Calculate a length on a similar
shape using the l.s.f. in reverse
6. Derive the v.s.f. and from the l.s.f.
and vice versa, and calculate a length:
table form
6. Solve mixed problems involving
similarity including surface area
7. Speed response: Identify the corresponding angles in two similar
shapes
7. Calculate lengths on similar shapes: obscure diagrams
7. Calculate a length on a similar shape using the l.s.f. as a fraction
7. Derive the v.s.f. and a.s.f. from the l.s.f. and vice versa, and calculate a
length, area or volume: table form
7. Solve mixed problems involving similarity including surface area
8. Demo: Prove similarity for 2
triangles by comparing angles
8. Calculate lengths on similar
shapes: obscure diagrams (algebra)
8. Investigation: Derive the area scale
factor (a.s.f.) from the l.s.f.
9. Demo: Prove similarity for 2
triangles by comparing sides
9. Calculate lengths on similar
shapes: obscure diagrams
9. Demo: Derive the a.s.f. from the
l.s.f. and calculate an area
10. Derive the a.s.f. from the l.s.f.
and calculate an area
11. Derive the a.s.f. from the l.s.f.
and vice versa, and calculate a length:
table form
12. Derive the a.s.f. from the l.s.f.
and vice versa, and calculate a length
or area: table form
13. Solve mixed problems on similar
shapes
14. Solve mixed problems on similar
shapes
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 60
Topic 22 - Pythagoras
Target 1 Target 2 Target 3 Target 4 Target 5
Investigate, know and prove
Pythagoras
Calculate the hypotenuse in a right
angled triangle
Calculate a shorter side in a right
angled triangle
Solve mixed problems using
Pythagoras
Apply Pythagoras in 3D
1. Distinguish between triangles with
a right angle and triangles without
1. Demo: Calculate the hypotenuse in
a right-angled triangle
1. Demo: Calculate a shorter side in a
right-angled triangle
1. Use Pythagoras in a right-angled
triangle; horizontal base; whole number starting values
1. Demo: Apply Pythagoras in 3D
2. Investigate Pythagoras by
collecting data of side lengths, then
squaring them
2. Demo: Calculate the hypotenuse in
a right-angled triangle
2. Demo: Calculate a shorter side in a
right-angled triangle
2. Use Pythagoras in a right-angled
triangle; slant angle; decimal number
starting values
2. Demo: Apply Pythagoras in 3D
3. Demo: Know Pythagoras’ Theorem 3. Calculate the hypotenuse in a right-
angled triangle; Pythagorean triples
3. Calculate a shorter side in a right-
angled triangle; Pythagorean triples
3. Solve a problem in context using
Pythagoras; diagram given
3. Apply Pythagoras in 3D in a cube;
with diagrams
4. Demo: Prove Pythagoras’ Theorem 4. Calculate the hypotenuse in a right-
angled triangle; horizontal base;
whole number sides
4. Calculate a shorter side in a right-
angled triangle; horizontal base;
whole number sides
4. Solve a problem in context using
Pythagoras; diagram given
4. Apply Pythagoras in 3D in a cube;
with diagrams
5. Engage with Pythagoras by creating
a physical square on the 3 sides of a
right angled triangle
5. Calculate the hypotenuse in a right-
angled triangle; slant angle; whole
number sides
5. Calculate a shorter side in a right-
angled triangle; slant angle; whole
number sides
5. Use Pythagoras in a complex
diagram
5. Apply Pythagoras in 3D in a cuboid;
with diagrams
6. Engage with Pythagoras by creating
a physical square on the hypotenuse
from squares on the other two sides;
with guidance
6. Calculate the hypotenuse in a right-
angled triangle; horizontal base;
decimal sides
6. Calculate a shorter side in a right-
angled triangle; horizontal base;
decimal sides
6. Use Pythagoras in a complex
diagram
6. Apply Pythagoras in 3D in a cuboid;
with diagrams
7. Engage with Pythagoras by creating
a physical square on the hypotenuse from squares on the other two sides;
no guidance
7. Calculate the hypotenuse in a right-
angled triangle; slant angle; decimal sides
7. Calculate a shorter side in a right-
angled triangle; slant angle; decimal sides
7. Use Pythagoras twice in a complex
diagram
7. Apply Pythagoras in 2D and 3D in a
cuboid; with diagram
8. Engage with Pythagoras by creating
a physical square on the hypotenuse
from squares on the other two sides;
no guidance; rotated
8. Solve problems with Pythagoras;
no diagrams
8. Apply Pythagoras in 2D and 3D in a
cuboid; with diagram
9. Solve problems with Pythagoras;
no diagrams
9. Solve problems in 3D without
diagrams
10. Solve problems with Pythagoras;
find the area of an Isosceles triangle
11. Solve problems with Pythagoras;
find the area of a shape
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 61
Topic 23 - Trigonometry 1
Target 1 Target 2 Target 3 Target 4 Target 5
Engage with trigonometric
nomenclature and SOHCAHTOA
Calculate an angle using sin, cos and
tan
Calculate a side using sin, cos and
tan; required side is the numerator
Calculate a side using sin, cos and
tan; required side is the denominator
Know the formula triangles from
SOHCAHTOA
Calculate any side and any angle
1. Know the names ‘Hypotenuse’, ‘Opposite’ and ‘Adjacent’
1. Demo: Calculate an angle using sin 1. Demo: Calculate a side using sin 1. Demo: Calculate a side using sin 1. Demo: Extract 3 formula triangles from SOHCAHTOA
2. Speed response: Identify the
hypotenuse in a right angle triangle
2. Calculate an angle using sin;
horizontal/vertical orientation
2. Calculate a side using sin;
horizontal/vertical orientation
2. Calculate a side using sin;
horizontal/vertical orientation
2. Select which ratio to use to
calculate any side length
3. Speed response: Identify the
opposite in a right angle triangle
3. Calculate an angle using sin 3. Calculate a side using sin 3. Calculate a side using sin 3. Calculate a side using sin, cos or
tan: horizontal/vertical orientation
4. Speed response: Identify the
adjacent in a right angle triangle
4. Demo: Calculate an angle using cos 4. Demo: Calculate a side using cos 4. Demo: Calculate a side using cos 4. Calculate a side using sin, cos or
tan
5. Know SOHCAHTOA and use a
mnemonic, such as ‘Silly Old Hens’
5. Calculate an angle using cos;
horizontal/vertical orientation
5. Calculate a side using cos;
horizontal/vertical orientation
5. Calculate a side using cos;
horizontal/vertical orientation
5. Calculate an angle using sin, cos or
tan: horizontal/vertical orientation
6. Know and write out the 3
trigonometric ratios
6. Calculate an angle using cos 6. Calculate a side using cos 6. Calculate a side using cos 6. Calculate an angle using sin, cos or
tan
7. Demo: Calculate an angle using tan 7. Demo: Calculate a side using tan 7. Demo: Calculate a side using tan
8. Calculate an angle using tan;
horizontal/vertical orientation
8. Calculate a side using tan;
horizontal/vertical orientation
8. Calculate a side using tan;
horizontal/vertical orientation
9. Calculate an angle using tan 9. Calculate a side using tan 9. Calculate a side using tan
10. Select which ratio to use to
calculate an angle
10. Select which ratio to use to
calculate a side length
10. Select which ratio to use to
calculate a side length in the
denominator
11. Calculate an angle using sin, cos
or tan
11. Calculate an angle using sin, cos
or tan
11. Calculate an angle using sin, cos
or tan
12. Calculate an angle using sin, cos
or tan
12. Calculate an angle using sin, cos
or tan
12. Calculate an angle using sin, cos
or tan
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 62
Topic 24 - Trigonometry 2
Target 1 Target 2 Target 3 Target 4 Target 5
Calculate any side and any angle
using trigonometry
Solve problems using trigonometry
and Pythagoras
Use the formula: area of a triangle =
½ absinC
Calculate sides and angles with the
sine rule
Calculate sides and angles with the
cosine rule
Solve mixed trigonometry problems
1. Calculate a side using sin, cos or
tan: horizontal/vertical orientation
1. Demo: know the labelling
convention used in triangles
1. Demo: Know both expressions of
the sine rule
1. Demo: Know both expressions of
the cosine rule
1. Solve trigonometry problems:
geometry
2. Calculate a side using sin, cos or
tan
2. Demo: Derive the formula: area of
a triangle = ½ absinC
2. Demo: Calculate a side using the
sine rule
2. Demo: Calculate a side using the
cosine rule
2. Solve trigonometry problems:
geometry & bearings
3. Calculate a side using sin, cos or
tan; complex diagram
3. Demo: Calculate the area of a
triangle using ½ absinC
3. Calculate a side using the sine rule 3. Calculate a side using the cosine
rule
3. Solve trigonometry problems:
geometry
4. Calculate an angle using sin, cos or
tan: horizontal/vertical orientation
4. Calculate the area of a triangle
using ½ absinC: simple data
4. Calculate a side using the sine rule:
no diagrams: some obscure data
4. Calculate a side using the cosine
rule: no diagrams: some obscure data
4. Solve trigonometry problems:
bearings
5. Calculate an angle using sin, cos or
tan
5. Calculate the area of a triangle
using ½ absinC: obscure data
5. Demo: Calculate an angle using the
sine rule
5. Demo: Calculate an angle using the
cosine rule
5. Solve trigonometry problems:
bearings
6. Calculate an angle using sin, cos or
tan; complex diagram
6. Calculate the area of a triangle
using ½ absinC: no diagrams: simple
data
6. Calculate an angle using the sine
rule
6. Calculate an angle using the cosine
rule
6. Solve trigonometry problems:
angles of depression
7. Solve problems using trigonometry:
calculate the area of a regular polygon
7. Solve problems using area of a
triangle using ½ absinC: complex
diagrams
7. Calculate an angle using the sine
rule: no diagrams
7. Calculate an angle using the cosine
rule: no diagrams
7. Solve trigonometry problems:
angles of elevation
8. Solve problems using trigonometry;
no diagrams
8. Solve problems using area of a
triangle using ½ absinC: no diagrams:
obscure data
8. Solve a bearing problem requiring
the use of the sine rule: diagrams
8. Solve a bearing problem requiring
the use of the cosine rule: diagrams
8. Solve trigonometry problems:
geometry
9. Solve problems using trigonometry
in 3D; angles in cuboids
9. Solve a bearing problem requiring
the use of the sine rule: no diagrams
9. Solve a bearing problem requiring
the use of the cosine rule: no
diagrams
9. Solve trigonometry problems:
geometry
10. Solve problems using trigonometry in 3D; angles in cuboids
10. Solve trigonometry problems: geometry
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 63
Topic 25 - Circle Geometry
Target 1 Target 2 Target 3 Target 4 Target 5
Calculate the circumference of a circle
and the perimeter of a complex shape
Calculate the area of a circle and a
complex shape
Calculate the length of an arc, the
area of a sector and the area of a segment
Know and use circle theorems not
involving tangents
Know and use circle theorems
involving tangents
1. Know the formula for the circumference of a circle
1. Demo: Understand how the area of
a circle can be shown to be r2
1. Demo: Calculate the length of an arc
1. Demo: Know that the angle in a semi-circle is a right angle
1. Demo: Know that the angle between a tangent and a radius is a
right angle
2. Calculate the circumference of a
circle
2. Calculate the area of a circle given
the radius or diameter
2. Calculate the length of an arc 2. Calculate missing values in
diagrams using ‘angle in a semi-circle’
2. Calculate missing values using
‘angle between a tangent and radius
is a right angle’
3. Calculate the perimeter of a shape
with circular elements
3. Calculate the area of a shapes with
circular elements
3. Calculate the angle at the centre or
the radius given the arc length
3. Demo: Know that angles in the
same segment are equal
3. Demo: Know that from any point
outside a circle there are exactly two
tangents and they have equal length
4. Calculate the perimeter of a shape
with circular elements; extension
4. Calculate the area of a shapes with
circular elements; extension
4. Demo: Calculate the area of a
sector
4. Calculate missing values in
diagrams using ‘angles in the same
segment are equal’
4. Calculate missing values using
‘from any point outside a circle there
are exactly two tangents and they
have equal length’
5. Calculate the perimeter of a shape
with circular elements; extension
5. Calculate the area of a shapes with
circular elements; extension
5. Calculate the area of a sector 5. Demo: Know that the angle at the
centre is twice the angle at the
circumference
5. Demo: Know that the angle
between a tangent and a chord is
equal to the angle in the alternate segment
6. Calculate the perimeter of a shape with circular elements; extension
6. Calculate the area of a shapes with circular elements; extension
6. Calculate the angle at the centre or the radius given the area of the sector
6. Calculate missing values in diagrams using ‘the angle at the
centre is twice the angle at the
circumference’
6. Calculate missing values using ‘the angle between a tangent and a chord
is equal to the angle in the alternate
segment’
7. Calculate the area of a shapes with
circular elements; extension
7. Calculate length of an arc and the
area of a sector: table form
7. Demo: Know that opposite angles
in a cyclic quadrilateral add up to 180o
7. Summary Demo: All 3 circle
theorems involving tangents
8. Calculate angle at centre, radius,
length of an arc or the area of a
sector: table form
8. Calculate missing values in
diagrams using ‘opposite angles in a
cyclic quadrilateral add up to 180 o’
8. Mixed calculations from tasks 1 to 7
9. Demo: Calculate the area of a
segment
9. Summary Demo: All 4 circle
theorems not involving tangents
9. Mixed calculations from tasks 1 to 7
10. Calculate the area of a segment 10. Mixed calculations from Tasks 1 to
9
10. Summary Demo: All 7 circle
theorems
11. Mixed calculations from Tasks 1 to
9
11. Mixed calculations from targets 3
and 4
12. Mixed calculations from Tasks 1 to 12. Mixed calculations from targets 3
and 4
Maths Workout - Geometry & Measures
© Smart Interactive Ltd. 64
Topic 26 - Language Tasks & Quizzes 2
Target 1 Target 2 Target 3 Target 4 Target 5
Engage with Maths language by
matching terms to their descriptions
Engage with Maths language through
wordsearch puzzles
Engage with Maths language through
crossword puzzles
Engage with Maths language by
completing sentences
Engage with Maths language through
Hangman
Quizzes: Mixed questions on Topics 14
to 24; Differentiated from 1 to 7
1. Match terms to their descriptions 1. Complete a wordsearch 1. Complete a crossword 1. Enter missing words in sentences 1. Quiz: Mixed questions from Topics
14 to 24
2. Match terms to their descriptions 2. Complete a wordsearch 2. Complete a crossword 2. Enter missing words in sentences 2. Quiz: Mixed questions from Topics
14 to 24
3. Match terms to their descriptions 3. Complete a wordsearch 3. Complete a crossword 3. Enter missing words in sentences 3. Quiz: Mixed questions from Topics
14 to 24
4. Match terms to their descriptions 4. Complete a wordsearch 4. Complete a crossword 4. Enter missing words in sentences 4. Quiz: Mixed questions from Topics
14 to 24
5. Match terms to their descriptions 5. Complete a wordsearch 5. Complete a crossword 5. Enter missing words in sentences 5. Quiz: Mixed questions from Topics
14 to 24
6. Match terms to their descriptions 6. Complete a wordsearch 6. Complete a crossword 6. Enter missing words in sentences 6. Quiz: Mixed questions from Topics
14 to 24
7. Match terms to their descriptions 7. Complete a wordsearch 7. Complete a crossword 7. Enter missing words in sentences 7. Quiz: Mixed questions from Topics
14 to 24
8. Match terms to their descriptions 8. Enter missing words in sentences
9. Match terms to their descriptions
10. Match terms to their descriptions
11. Match terms to their descriptions
12. Match terms to their descriptions
Maths Workout - Statistics & Probability
© Smart Interactive Ltd. 65
Statistics & Probability Topics
Topic Target 1 Target 2 Target 3 Target 4 Target 5
1 Tables & Diagrams 1 Read, interpret and
construct a two-way table
Read, interpret and
construct a distance table and diagrams
Read and interpret a Venn
diagram
Construct a Venn diagram Read, interpret and
construct a cinema schedule in am/pm time
2 Tables & Diagrams 2 Read, interpret and construct a cinema
schedule in 24h clock time
Read, interpret and construct a train timetable
in am/pm time
Read, interpret and construct a train timetable
in 24h clock time
Read, interpret and construct a calendar
Read and interpret a table of dates, times and other
information
3 Mean, Median, Mode & Range
Introduction to Averages
Identify the mode of a set
of raw data
Work out the median of a
set of raw data
Calculate the mean of a set
of raw data
Solve problems with the
mean
Calculate the range of a set
of raw data
Summary of the uses of
mean, median and mode
Solve problems on mean,
median, mode and range
Compare sets of data
4 Pictograms
Read and interpret a
pictogram
Read and interpret a
pictogram
Construct a pictogram from
a frequency table
Construct a pictogram from
given information
5 Bar Charts Read and interpret a bar
chart
Construct a bar chart from
a frequency table
Construct a bar chart from
given information
Work with multiple column
and segmented bar charts
Read and interpret a back-
to-back bar chart
6 Line Graphs
Read and interpret a
distance-time graph
Read and interpret a real-
life line graph
Identify a trend or
description of a graph
Match a graph to its corresponding process
Use a conversion graph
Read and interpret a time
series graph
Calculate a moving average
7 Scatter Graphs
Understand and distinguish between positive and
negative correlation
Plot and interpret a scatter graph
Draw and use a line of best fit
8 Pie Charts Revise the calculations
required to construct and
read a pie chart
Read and interpret a pie
chart
Read and interpret a pie
chart: extension
Construct a pie chart from a
frequency table
Construct a pie chart from
given information
9 Stem & Leaf Diagrams
Read, interpret and
construct a stem and leaf
diagram
Find the range and median
from a stem and leaf
diagram
Interpret and construct a
back-to-back stem and leaf
diagram
10 Introduction to Probability
Know the probability scale
Use probability words to
describe outcomes
Simplify and compare
probabilities in chance form
Calculate simple probability
Express a probability in the
equivalent forms of chance,
fraction, decimal and percentage
Calculate simple probability
in the forms of chance,
fraction, decimal and percentage
Solve problems with simple
probability
Calculate probabilities using
a possibility space diagram
11 Probability Lab
Use probability theory to
predict the most likely
outcome on a spinner
Use probability theory in
games of chance: ‘Higher,
Lower or Equal’ dice game
Use probability theory in
games of chance: ‘Higher
or Lower’ card game
Engage with experimental
probability
Calculate expectation; work
with mutually exclusive
events; list possible
outcomes
Maths Workout - Statistics & Probability
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Statistics & Probability Topics
Topic Target 1 Target 2 Target 3 Target 4 Target 5
12 Language Tasks & Quizzes 1 Engage with Maths
language by matching terms to their descriptions
Engage with Maths
language through wordsearch puzzles
Engage with Maths
language through crossword puzzles
Engage with Maths
language by completing sentences
Quizzes: Questions from
the whole unit differentiated from 1 to 7
13 Data Handling Theory
Understand types of data, the use of a frequency table
and grouped frequency
table
Understand the data handling cycle
Understand how to create a questionnaire and avoid
bias
Understand key points of 4 sampling methods
Understand: 3 averages; bar chart, frequency chart,
and histogram; frequency
polygon and frequency
chart
14 Frequency Tables
Sort categorical and
numerical data into a
frequency table using tallies
Read and interpret a
frequency table
Find the median from a
frequency table
Find the mean from a
frequency table
Find the range, median and
mode from a frequency
table
Sort numerical data into a
grouped frequency table
Identify the modal class
and the class that contains
the median
Estimate the mean from a
grouped frequency table
15 Frequency Charts & Polygons
Construct a frequency chart Read and interpret a
frequency chart
Read and interpret a
frequency chart
Estimate the mean from a frequency chart
Construct a frequency
polygon
Read and interpret a
frequency polygon
Estimate the mean from a frequency polygon
16 Histograms
Understand and calculate frequency density
Construct a histogram Read and interpret a histogram
Read and interpret a histogram
Estimate the mean from a
histogram
Construct, read and interpret histograms
displaying age and rounded
continuous data
17 Measures of Spread 1
Calculate the range of a set
of raw data
Revision: Calculate the
median from a set of raw
data
Calculate the interquartile
range of a small set of raw
data and a larger set of
data in a frequency table
Construct a box plot from
raw data
Read and interpret a box
plot
18 Measures of Spread 2
Calculate cumulative
frequency
Plot a cumulative frequency
curve
Estimate the median and
interquartile range from a
cumulative frequency curve
Interpret a cumulative
frequency curve
Construct a box plot from
grouped data
Compare box plots
19 Probability 1
Revision of simple
probability
Understand mutual
exclusivity
Calculate probabilities of ‘A’ and ‘not A’
Calculate with the sum of
the probabilities of all
mutually exclusive events.
Calculate probabilities for
mutually exclusive events
using the addition rule or otherwise
Calculate probabilities for
mutually exclusive events
using the addition rule or otherwise: extension
20 Probability 2
Understand independence
Know and use the
multiplication rule
Understand and complete a
tree diagram: independent
and dependent events
Use a tree diagram to
calculate probabilities of
independent events
Use a tree diagram to
calculate probabilities of
dependent events
Calculate ‘At Least’
probability
Identify and calculate
conditional probability
21 Language Tasks & Quizzes 2 Engage with Maths
language by matching
terms to their descriptions
Engage with Maths
language through
wordsearch puzzles
Engage with Maths
language through
crossword puzzles
Engage with Maths
language by completing
sentences
Quizzes: Questions from
the whole unit
differentiated from 1 to 7
Maths Workout - Statistics & Probability
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Topic 1 - Tables & Diagrams 1
Target 1 Target 2 Target 3 Target 4 Target 5
Read, interpret and construct a two-
way table
Read, interpret and construct a
distance table and diagrams
Read and interpret a Venn diagram Construct a Venn diagram Read, interpret and construct a
cinema schedule in am/pm time
1. Read and interpret a two-way table 1. Read and interpret a distance table
(3 Places)
1. Read and interpret a Venn
diagram: 2 categories
1. Construct a Venn diagram: 2
categories
1. Read and interpret a cinema
schedule
2. Read and interpret a two-way table 2. Read and interpret a distance table (4 Places)
2. Read and interpret a Venn diagram: 2 categories
2. Construct a Venn diagram: 2 categories
2. Read and interpret a cinema schedule
3. Read and interpret a two-way table 3. Read and interpret a distance table (5 Places)
3. Read and interpret a Venn diagram: 2 categories
3. Construct a Venn diagram: 2 categories
3. Read and interpret a cinema schedule
4. Read and interpret a two-way table 4. Read and interpret a distance table
(5 Places)
4. Read and interpret a Venn
diagram: 2 categories
4. Construct a Venn diagram: 2
categories
4. Read and interpret a cinema
schedule
5. Read and interpret a two-way table 5. Read and interpret a distance table
(6 Places)
5. Read and interpret a Venn
diagram: 2 categories
5. Construct a Venn diagram: 2
categories
5. Read and interpret a cinema
schedule
6. Enter missing elements in a two-
way table and interpret the table
6. Read and interpret a distance table
(6 Places)
6. Read and interpret a Venn
diagram: 2 categories
6. Construct a Venn diagram: 2
categories
6. Enter missing elements in a cinema
schedule
7. Enter missing elements in a two-
way table and interpret the table
7. Construct a distance table from
map (3 Nodes: 3 Arcs)
7. Read and interpret a Venn
diagram: 2 categories
7. Construct a Venn diagram: 2
categories
7. Enter missing elements in a cinema
schedule
8. Enter missing elements in a two-
way table and interpret the table
8. Construct a distance table from
map (3 Nodes: 2 Arcs)
8. Read and interpret a Venn
diagram: 3 categories
8. Construct a Venn diagram: 3
categories
8. Enter missing elements in a cinema
schedule
9. Enter raw data into a two-way table 9. Construct a distance table from
map (4 Nodes: 3 Arcs)
9. Read and interpret a Venn
diagram: 3 categories
9. Construct a Venn diagram: 3
categories
9. Enter missing elements in a cinema
schedule
10. Enter raw data into a two-way
table
10. Construct a distance table from
map (4 Nodes: 4 Arcs)
10. Construct a Venn diagram: 3
categories
10. Enter missing elements in a
cinema schedule
11. Enter raw data into a two-way
table
11. Read and interpret a map with an
approximate radial distance indicator
11. Construct a Venn diagram: 3
categories
11. Enter missing elements in a
cinema schedule
12. Enter raw data into a two-way
table
12. Read and interpret a map with an
approximate radial distance indicator
12. Construct a Venn diagram: 3
categories
Maths Workout - Statistics & Probability
© Smart Interactive Ltd. 68
Topic 2 - Tables & Diagrams 2
Target 1 Target 2 Target 3 Target 4 Target 5
Read, interpret and construct a
cinema schedule in 24h clock time
Read, interpret and construct a train
timetable in am/pm time
Read, interpret and construct a train
timetable in 24h clock time
Read, interpret and construct a
calendar
Read and interpret a table of dates,
times and other information
1. Read and interpret a cinema
schedule
1. Read and interpret a train timetable 1. Read and interpret a train timetable 1. Operate and read a basic electronic
diary
1. Read and interpret a table of
campsite charges
2. Read and interpret a cinema schedule
2. Read and interpret a train timetable 2. Read and interpret a train timetable 2. Complete the dates in a month given one starting point
2. Read and interpret a table of campsite charges
3. Read and interpret a cinema schedule
3. Read and interpret a train timetable 3. Read and interpret a train timetable 3. Operate and read a basic electronic diary
3. Read and interpret a table of campsite charges: calculator provided
4. Read and interpret a cinema
schedule
4. Read and interpret a train timetable 4. Read and interpret a train timetable 4. Work out an interval given the start
and end date, including both end
points: Electronic calendar provided
4. Read and interpret a table of
holiday prices: calculator provided
5. Read and interpret a cinema
schedule
5. Read and interpret a train timetable 5. Read and interpret a train timetable 5. Work out an interval given the start
and end date, including both end
points: Electronic calendar provided
5. Read and interpret a table of
holiday prices: calculator provided
6. Enter missing elements in a cinema
schedule
6. Read and interpret a train timetable 6. Read and interpret a train timetable 6. Operate, read and interpret a basic
electronic diary
6. Read and interpret a swimming
pool schedule
7. Enter missing elements in a cinema
schedule
7. Read and interpret a train timetable 7. Read and interpret a train timetable 7. Complete a section of a monthly
view calendar
7. Read and interpret a swimming
pool schedule: calculator provided
8. Enter missing elements in a cinema
schedule
8. Read and interpret a train timetable 8. Read and interpret a train timetable 8. Operate, read and interpret a basic
electronic diary
8. Read and interpret a swimming
pool schedule: calculator provided
9. Enter missing elements in a cinema
schedule
9. Read and interpret a train timetable 9. Read and interpret a train timetable 9. Work out the finish date, given the
start date and duration, including both
end points: Electronic calendar
provided
9. Read and interpret a table of
weather information
10. Enter missing elements in a
cinema schedule
10. Enter missing elements in a train
timetable
10. Enter missing elements in a train
timetable
10. Read and interpret a table of
weather information
11. Enter missing elements in a
cinema schedule
11. Enter missing elements in a train
timetable
11. Enter missing elements in a train
timetable
12. Enter missing elements in a
cinema schedule
12. Enter missing elements in a train
timetable
12. Enter missing elements in a train
timetable
13. Enter missing elements in a
cinema schedule
Maths Workout - Statistics & Probability
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Topic 3 - Mean, Median, Mode & Range
Target 1 Target 2 Target 3 Target 4 Target 5
Introduction to Averages
Identify the mode of a set of raw data
Work out the median of a set of raw
data
Calculate the mean of a set of raw
data
Solve problems with the mean
Calculate the range of a set of raw
data
Summary of the uses of mean,
median and mode
Solve problems on mean, median,
mode and range
Compare sets of data
1. Know the 3 types of average 1. Identify the median of an ordered
data set: odd number of data items
1. Demo: Know how to calculate the
mean of a raw data set
1. Calculate the range of a set of
ordered raw data
1. Demo: Summary of the uses of
mean, median and mode
2. Identify the mode of a set of raw
data set by inspection
2. Identify the median of a data set by
ordering: odd number of data items
2. Calculate the mean of a raw data
set: whole answers
2. Calculate the range of a set of raw
data
2. Sort a raw data set, then calculate
the mean, median, mode and range
3. Identify the mode of a set of raw
data set by sorting
3. Demo: Identify the median of a raw
data set: even number of values
3. Calculate the mean of a raw data
set: exact decimal answers
3. Calculate the range of a set of raw
data by sorting
3. Calculate the mean, median, mode
and range of a data set in context
4. Identify the mode of a set of raw
data set by sorting
4. Identify the median of a data set by
ordering: even number of data items
4. Calculate the mean of a raw data
set
4. Calculate the range of a set of raw
data by sorting
4. Calculate the mean, median, mode
and range of a data set in context
5. Identify the mode of a set of raw
data set by sorting
5. Identify the median of a data set by
ordering
5. Calculate the mean of a raw data
set
5. Calculate the range of a set of raw
data by sorting
5. Solve a problem involving mean,
median and range
6. Identify the mode of a set of raw
data set by inspection
6. Speed Response: Identify a
matching median and data set
6. Calculate the mean of data in a bar
chart
6. Calculate the range from data in a
bar chart
6. Solve a problem involving mean,
median and range
7. Identify the mode from data in a
bar chart.
7. Solve a problem involving mean 7. Speed Response: Identify a
matching range and data set
7. Solve a problem involving mean,
median and range
8. Solve a problem involving mean 8. Speed Response: Identify a
matching range and data set
8. Compare two data sets by
considering their mean, median and
range
9. Solve a problem involving mean 9. Compare two data sets by
considering their mean, median and
range
10. Solve a problem involving mean 10. Compare two data sets by
considering their mean, median and range
11. Compare two data sets by considering their mean, median and
range
12. Compare two data sets by
considering their mean, median and
range
Maths Workout - Statistics & Probability
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Topic 4 - Pictograms
Target 1 Target 2 Target 3 Target 4
Read and interpret a pictogram
Read and interpret a pictogram
Construct a pictogram from a
frequency table
Construct a pictogram from given
information
1. Read and interpret a pictogram 1. Read and interpret a pictogram 1. Construct a pictogram from a
frequency table
1. Solve a logic problem then
construct a pictogram
2. Read and interpret a pictogram 2. Read and interpret a pictogram 2. Construct a pictogram from a frequency table
2. Solve a logic problem then construct a pictogram
3. Read and interpret a pictogram 3. Read and interpret a pictogram 3. Construct a pictogram from a frequency table
3. Solve a logic problem then construct a pictogram
4. Read and interpret a pictogram 4. Read and interpret a pictogram 4. Construct a pictogram from a
frequency table
4. Solve a logic problem then
construct a pictogram
5. Read and interpret a pictogram 5. Read and interpret a pictogram 5. Construct a pictogram from a
frequency table
5. Solve a logic problem then
construct a pictogram
6. Solve a logic problem then
construct a pictogram
7. Solve a logic problem then
construct a pictogram
Maths Workout - Statistics & Probability
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Topic 5 - Bar Charts
Target 1 Target 2 Target 3 Target 4 Target 5
Read and interpret a bar chart Construct a bar chart from a
frequency table
Construct a bar chart from given
information
Work with multiple column and
segmented bar charts
Read and interpret a back-to-back bar
chart
1. Read and interpret a bar chart 1. Construct a bar chart from a
frequency table
1. Solve a logic problem then
construct a bar chart
1. Read and interpret a multiple
column bar chart
1. Read and interpret a back-to-back
bar chart
2. Read and interpret a bar chart 2. Construct a bar chart from a frequency table
2. Solve a logic problem then construct a bar chart
2. Read and interpret a multiple column bar chart
2. Read and interpret a back-to-back bar chart
3. Read and interpret a bar chart 3. Construct a bar chart from a frequency table
3. Solve a logic problem then construct a bar chart
3. Read and interpret a multiple column bar chart
3. Read and interpret a back-to-back bar chart
4. Read and interpret a bar chart 4. Construct a bar chart from a
frequency table
4. Solve a logic problem then
construct a bar chart
4. Construct a multiple column bar
chart from a frequency table
4. Read and interpret a back-to-back
bar chart
5. Read and interpret a bar chart 5. Construct a bar chart from a
frequency table
5. Solve a logic problem then
construct a bar chart
5. Construct a multiple column bar
chart from a frequency table
5. Read and interpret a back-to-back
bar chart
6. Read and interpret a bar chart 6. Solve a logic problem then
construct a bar chart
6. Read and interpret a segmented
bar chart
7. Read and interpret a bar chart 7. Solve a logic problem then
construct a bar chart
7. Read and interpret a segmented
bar chart
8. Complete the frequency scale from
given information, then read and
interpret a bar chart
9. Complete the frequency scale from
given information, then read and
interpret a bar chart
10. Complete the frequency scale
from given information, then read and
interpret a bar chart
Maths Workout - Statistics & Probability
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Topic 6 - Line Graphs
Target 1 Target 2 Target 3 Target 4 Target 5
Read and interpret a distance-time
graph
Read and interpret a real-life line
graph
Identify a trend or description of a
graph
Match a graph to its corresponding
process
Use a conversion graph
Read and interpret a time series graph
Calculate a moving average
1. Read and interpret a distance-time
graph
1. Read and interpret a line graph of
real life
1. Identify a trend or description of a
graph
1. Use a conversion graph 1. Read and interpret a time series
graph
2. Read and interpret a distance-time
graph
2. Read and interpret a line graph of
real life
2. Identify a trend or description of a
graph
2. Use a conversion graph 2. Read and interpret a time series
graph
3. Read and interpret a distance-time
graph
3. Read and interpret a line graph of
real life
3. Match the language of trends to an
equivalent term
3. Use a conversion graph 3. Read and interpret a time series
graph
4. Read and interpret a distance-time
graph
4. Read and interpret a line graph of
real life
4. Identify a trend or description of a
graph in context
4. Use a conversion graph 4. Read and interpret a time series
graph
5. Read and interpret a distance-time
graph
5. Read and interpret a line graph of
real life
5. Identify a trend or description of a
graph in context
5. Demo: Calculate a moving average
6. Read and interpret a distance-time
graph
6. Read and interpret a line graph of
real life
6. Identify a trend or description of a
graph in context
6. Calculate a moving average
7. Read and interpret a distance-time
graph
7. Read and interpret a line graph of
real life
7. Match a physical process involving
rate to its corresponding graph
7. Calculate a moving average
8. Read and interpret a distance-time
graph
8. Read and interpret a line graph of
real life
8. Match a physical process involving
rate to its corresponding graph
8. Calculate a moving average
9. Read and interpret a line graph of
real life
9. Match a physical process involving
rate to its corresponding graph
10. Read and interpret a line graph of
real life
10. Match a physical process involving
rate to its corresponding graph
Maths Workout - Statistics & Probability
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Topic 7 - Scatter Graphs
Target 1 Target 2 Target 3
Understand and distinguish between
positive and negative correlation
Plot and interpret a scatter graph
Draw and use a line of best fit
1. Demo: Understand a scatter graph
and the 3 main types of correlation
1. Plot a scatter graph and interpret
the correlation
1. Practise drawing a line of best fit
2. Distinguish between examples of positive and negative correlation
2. Plot a scatter graph and interpret the correlation
2. Draw and use a line of best fit to predict results
3. Distinguish between examples of positive and negative correlation
3. Plot a scatter graph and interpret the correlation
Maths Workout - Statistics & Probability
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Topic 8 - Pie Charts
Target 1 Target 2 Target 3 Target 4 Target 5
Revise the calculations required to
construct and read a pie chart
Read and interpret a pie chart Read and interpret a pie chart:
extension
Construct a pie chart from a
frequency table
Construct a pie chart from given
information
1. Revision: Simplify a fraction 1. Demo: Read a pie chart: 2 methods 1. Read and interpret a pie chart
given the population: 5 sectors
1. Demo: Construct a pie chart from a
frequency table
1. Solve a logic problem then
construct a pie chart
2. Revision: Simplify a fraction 2. Read and interpret a pie chart given the population: 3 sectors
2. Read and interpret a pie chart given the population: 5 sectors
2. Construct a pie chart from a frequency table
2. Solve a logic problem then construct a pie chart
3. Demo: Complete a fraction calculation as required for pie charts
3. Read and interpret a pie chart given the population: 3 sectors
3. Read and interpret a pie chart given the population: 5 sectors
3. Construct a pie chart from a frequency table
3. Solve a logic problem then construct a pie chart
4. Complete a fraction calculation as
required for pie charts
4. Read and interpret a pie chart
given the population: 3 sectors
4. Read and interpret a pie chart
given the population: 5 sectors
4. Construct a pie chart from a
frequency table
4. Solve a logic problem then
construct a pie chart
5. Read and interpret a pie chart
given the population: 3 sectors
5. Calculate the population then read
and interpret a pie chart
5. Construct a pie chart from a
frequency table
5. Solve a logic problem then
construct a pie chart
6. Read and interpret a pie chart
given the population: 4 sectors
6. Calculate the population then read
and interpret a pie chart
6. Construct a pie chart from a
frequency table
6. Solve a logic problem then
construct a pie chart
7. Read and interpret a pie chart
given the population: 4 sectors
7. Calculate the population then read
and interpret a pie chart
7. Construct a pie chart from a
frequency table
7. Solve a logic problem then
construct a pie chart
8. Calculate the population then read
and interpret a pie chart
8. Construct a pie chart from a
frequency table
9. Calculate the population then read
and interpret a pie chart
9. Construct a pie chart from a
frequency table
10. Calculate the population then read
and interpret a pie chart
10. Construct a pie chart from a
frequency table
Maths Workout - Statistics & Probability
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Topic 9 - Stem & Leaf Diagrams
Target 1 Target 2
Read, interpret and construct a stem
and leaf diagram
Find the range and median from a
stem and leaf diagram
Interpret and construct a back-to-
back stem and leaf diagram
1. Demo: Understand a stem and leaf
diagram
1. Find the range and median from a
stem and leaf diagram
2. Demo: Understand a stem and leaf
diagram
2. Interpret a back-to-back stem and
leaf diagram
3. Construct a stem and leaf diagram
from raw data
3. Construct a back-to-back stem and
leaf diagram
4. Construct a stem and leaf diagram
from raw data
5. Construct a stem and leaf diagram
from raw data
6. Construct a stem and leaf diagram
from raw data
7. Construct a stem and leaf diagram
from raw data
Maths Workout - Statistics & Probability
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Topic 10 - Introduction to Probability
Target 1 Target 2 Target 3 Target 4 Target 5
Know the probability scale
Use probability words to describe outcomes
Calculate simple probability
Simplify and compare probabilities in chance form
Express a probability in the equivalent
forms of chance, fraction, decimal and percentage
Calculate simple probability in the
forms of chance, fraction, decimal and percentage
Solve problems with simple probability
Calculate probabilities using a
possibility space diagram
1. Demo: Know basic probability
concepts
1. Demo: Know how to calculate
simple probability
1. Express a probability in the
equivalent forms of chance, fraction,
decimal and percentage
1. Calculate simple probability on a
spinner in chance form
1. Demo: Calculate a probability using
a possibility space diagram
2. Engage with the language of
probability by matching probability
words with a value on the probability
scale
2. Simplify a probability in chance
form
2. Express a probability in the
equivalent forms of chance, fraction,
decimal and percentage
2. Calculate simple probability on a
spinner in chance form
2. Enter the possible total scores for 2
dice on a possibility space diagram
3. Engage with the language of
probability by matching a probability
value with a probability word
3. Simplify a probability in chance
form
3. Express a probability in the
equivalent forms of chance, fraction,
decimal and percentage
3. Calculate simple probability on a
spinner as a fraction
3. Calculate probabilities using a
possibility space diagram
4. Describe the probability of an
outcome
4. Simplify a probability in chance
form
4. Express a probability in the
equivalent forms of chance, fraction,
decimal and percentage
4. Calculate simple probability on a
spinner as a decimal
4. Calculate probabilities using a
possibility space diagram
5. Describe the probability of an
outcome
5. Simplify a probability in chance
form
5. Express a probability in the
equivalent forms of chance, fraction, decimal and percentage
5. Calculate simple probability on a
spinner as a percentage
5. Calculate probabilities using a
possibility space diagram
6. Describe the probability of an outcome
6. Speed Response: Identify probabilities that are equivalent to 1
in 2
6. Identify 2 equivalent probabilities in the form of chance, fraction or
percentage
6. Calculate simple probability on a spinner in the form of chance,
fraction, decimal or percentage
6. Calculate probabilities using a possibility space diagram
7. Describe the probability of an
outcome
7. Speed Response: Identify
probabilities that are more likely than
1 in 2
7. Identify 2 equivalent probabilities in
the form of chance, fraction, decimal
or percentage
7. Solve problems with simple
probability
7. Calculate probabilities using a
possibility space diagram
8. Speed Response: Identify
probabilities that are less likely than 1
in 2
8. Solve problems with simple
probability
9. Calculate simple probability on an
ordinary die
9. Solve problems with simple
probability
10. Calculate simple probability on an
ordinary die
10. Solve problems with simple
probability
11. Calculate simple probability with
beads in a bag
11. Solve problems with simple
probability
12. Calculate simple probability with
playing cards
Maths Workout - Statistics & Probability
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Topic 11 - Probability Lab
Target 1 Target 2 Target 3 Target 4 Target 5
Use probability theory to predict the
most likely outcome on a spinner
Use probability theory in games of
chance: ‘Higher, Lower or Equal’ dice game
Use probability theory in games of
chance: ‘Higher or Lower’ card game
Engage with experimental probability Calculate expectation; work with
mutually exclusive events; list possible outcomes
1. Use probability theory to predict the most likely outcome on a spinner
1. Use probability theory to predict if the next outcome will be higher or
lower than the previous outcome: 1
die
1. Use probability theory to predict if the next outcome will be higher or
lower than the previous outcome:
cards
1. Simulation of throwing a drawing pin: record scores in tally chart,
calculate relative frequency
1. Demo: = Probability x Number of Trials = Expected Number of
Successes
2. Use probability theory to predict if
the next outcome will be higher or
lower than the previous outcome: 2
dice
2. Demo: Experimental probability
basics
2. Calculate the expected number of
successes
3. Estimate the probability of getting a
six on a biased die: simulation of
rolling a biased die 50 times
3. Calculate with the expected number
of successes with one die
4. Estimate the probability of getting a
six on a biased die: simulation of
rolling a biased die 50 times
4. Calculate with the expected number
of successes with two dice
5. Enrichment: Generate from
experimental probability
5. Demo: Mutually exclusive events
6. Calculate the probability of one
event given the probability of a
mutually exclusive event
7. Calculate the probability of one
event given the probability of a
mutually exclusive event
8. List possible outcomes using a
system
9. List possible outcomes using a
system
10. List possible outcomes using a
system
11. List possible outcomes using a
system
12. List possible outcomes using a
system
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Topic 12 - Language Tasks & Quizzes 1
Target 1 Target 2 Target 3 Target 4 Target 5
Engage with Maths language by
matching terms to their descriptions
Engage with Maths language through
wordsearch puzzles
Engage with Maths language through
crossword puzzles
Engage with Maths language by
completing sentences
Quizzes: Mixed questions on Topics 1
to 11; Differentiated from 1 to 7
1. Match terms to their descriptions 1. Complete a wordsearch 1. Complete a crossword 1. Enter missing words in sentences 1. Quiz: Mixed questions from Topics
1 to 11
2. Match terms to their definitions 2. Complete a wordsearch 2. Complete a crossword 2. Enter missing words in sentences 2. Quiz: Mixed questions from Topics 1 to 11
3. Match terms to their definitions 3. Complete a wordsearch 3. Complete a crossword 3. Enter missing words in sentences 3. Quiz: Mixed questions from Topics 1 to 11
4. Match terms to their definitions 4. Complete a wordsearch 4. Complete a crossword 4. Enter missing words in sentences 4. Quiz: Mixed questions from Topics
1 to 11
5. Match terms to their definitions 5. Complete a wordsearch 5. Complete a crossword 5. Enter missing words in sentences 5. Quiz: Mixed questions from Topics
1 to 11
6. Match terms to their definitions 6. Complete a wordsearch 6. Complete a crossword 6. Enter missing words in sentences 6. Quiz: Mixed questions from Topics
1 to 11
7. Match terms to their definitions 7. Enter missing words in sentences 7. Quiz: Mixed questions from Topics
1 to 11
8. Match terms to their definitions 8. Enter missing words in sentences
9. Match terms to their definitions 9. Enter missing words in sentences
10. Match terms to their definitions
11. Match terms to their definitions
12. Match terms to their definitions
13. Match terms to their definitions
Maths Workout - Statistics & Probability
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Topic 13 - Data Handling Theory
Target 1 Target 2 Target 3 Target 4 Target 5
Understand types of data, the use of a
frequency table and grouped frequency table
Understand the data handling cycle Understand how to create a
questionnaire and avoid bias
Understand key points of 4 sampling
methods
Key points: 3 averages; bar chart,
frequency chart, and histogram; frequency polygon and frequency
chart
1. Presentation: Know the difference
between categorical and numerical
data
1. Presentation: Introduction to the 4
stages of the data handling cycle
1. Presentation: Some basic principles
of writing a questionnaire
1. Presentation: Understand the terms
sample, population, survey and
census
1. Presentation: The 3 averages:
Interactive diagram
2. Speed response: Distinguish
between categorical and numerical
data
2. Presentation: Stage 1: Identify the
problem
2. Presentation: Some basic principles
of writing a questionnaire
2. Presentation: Introduction to 4 of
the main types of sampling
2. Presentation: Know the difference
between a bar chart, a frequency
chart and a histogram: Interactive
diagram
3. Presentation: Know the difference
between discrete and continuous data
3. Presentation: Stage 1: Plan the
Process
3. Presentation: Some basic principles
of writing a questionnaire
3. Presentation: Random sampling:
uses, advantages & disadvantages
3. Presentation: Understand how a
frequency chart and frequency
polygon are related
4. Speed response: Distinguish
between discrete and continuous data
4. Presentation: Stage 2: Collect the
data
4. Presentation: Biased questions 4. Presentation: Stratified sampling,:
uses, advantages & disadvantages
5. Speed response: Distinguish
between categorical, numerical
discrete and numerical continuous data
5. Presentation: Stage 3: Process &
present the data
5. Presentation: Biased questions 5. Calculate the correct values for a
stratified sample
6. Speed response: Distinguish between categorical, numerical
discrete and numerical continuous
data
6. Presentation: Stage 4: Interpret and summarise the results
6. Speed Response: Distinguish between a biased question and a fair
question
6. Calculate the correct values for a stratified sample: extension
7. Presentation: Know the terms raw
data and frequency table
7. Presentation: Stage 4: Evaluate the
results and the whole process
7. Speed Response: Distinguish
between a biased question and a fair
question
7. Calculate the correct values for a
stratified sample: extension
8. Presentation: Understand a
grouped frequency table
8. Presentation: All 4 Stages of DHC:
interactive diagram
8. Presentation: Quota sampling:
uses, advantages & disadvantages
9. Presentation: Systematic sampling:
uses, advantages & disadvantages
10. Presentation: All 4 sampling
methods: Interactive diagram
Maths Workout - Statistics & Probability
© Smart Interactive Ltd. 80
Topic 14 - Frequency Tables
Target 1 Target 2 Target 3 Target 4 Target 5
Sort categorical and numerical data
into a frequency table using tallies
Read and interpret a frequency table
Find the median from a frequency
table
Find the mean from a frequency table
Find the range, median and mode from a frequency table
Sort numerical data into a grouped
frequency table
Identify the modal class and the class
that contains the median
Estimate the mean from a grouped
frequency table
1. Sort categorical data into a
frequency table using tallies and
complete the totals
1. Demo: Find the median of data in a
frequency table; odd set size
1. Find the mean of data in a
frequency table: assisted
1. Sort numerical data into a grouped
frequency table
1. Estimate the mean of discrete data
in a grouped frequency table: assisted
2. Sort categorical data into a
frequency table using tallies and
complete the totals
2. Demo: Find the median of data in a
frequency table; even set size
2. Find the mean of data in a
frequency table: assisted
2. Sort numerical data into a grouped
frequency table
2. Estimate the mean of discrete data
in a grouped frequency table: assisted
3. Sort numerical data into a
frequency table using tallies and
complete the total
Read and interpret the tally chart
3. Demo: Find the median of data in a
frequency table; even set size, middle
terms from different groups
3. Find the mean of data in a
frequency table: assisted
3. Sort numerical data into a grouped
frequency table
3. Estimate the mean of discrete data
in a grouped frequency table: assisted
4. Sort numerical data into a
frequency table using tallies and
complete the total
Read and interpret the tally chart
4. Find the median of data in a
frequency table
4. Find the mean of data in a
frequency table: assisted
4. Identify the modal class and the
class that contains the median in a
grouped frequency table
4. Estimate the mean of discrete data
in a grouped frequency table: assisted
5. Read and interpret a frequency table of categorical data
5. Find the median of data in a frequency table: extension
5. Find the mean of data in a frequency table
5. Identify the modal class and the class that contains the median in a
grouped frequency table
5. Estimate the mean of discrete data in a grouped frequency table
6. Read and interpret a frequency
table of categorical data
6. Find the range, mean, median and
mode of data in a frequency table
6. Estimate the mean of continuous
data in a grouped frequency table:
assisted
7. Read and interpret a frequency
table of numerical data
7. Find the range, mean, median and
mode of data in a frequency table
7. Estimate the mean of continuous
data in a grouped frequency table:
assisted
8. Read and interpret a frequency
table of numerical data
8. Solve a problem involving the mean
from a frequency table
8. Estimate the mean of continuous
data in a grouped frequency table:
assisted
9. Read and interpret a frequency
table of numerical data
9. Estimate the mean of continuous
data in a grouped frequency table:
assisted
10. Read and interpret a frequency
table of numerical data
10. Estimate the mean of continuous
data in a grouped frequency table
Maths Workout - Statistics & Probability
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Topic 15 - Frequency Charts & Polygons
Target 1 Target 2 Target 3 Target 4 Target 5
Construct a frequency chart Read and interpret a frequency chart Read and interpret a frequency chart
Estimate the mean from a frequency chart
Construct a frequency polygon Read and interpret a frequency
polygon
Estimate the mean from a frequency
polygon
1. Construct a frequency chart from a
grouped frequency table
1. Read and interpret a frequency
chart
1. Read and interpret a frequency
chart
1. Construct a frequency polygon from
continuous data in a grouped
frequency table: with assistance
1. Read and interpret a frequency
polygon
2. Construct a frequency chart from a
grouped frequency table
2. Read and interpret a frequency
chart
2. Read and interpret a frequency
chart
2. Construct a frequency polygon from
continuous data in a grouped
frequency table: with assistance
2. Read and interpret a frequency
polygon
3. Construct a frequency chart from a
grouped frequency table
3. Read and interpret a frequency
chart
3. Read and interpret a frequency
chart
3. Construct a frequency polygon from
continuous data in a grouped
frequency table: with assistance
3. Read and interpret a frequency
polygon
4. Read and interpret a frequency
chart
4. Estimate the mean of continuous
data in a frequency chart
4. Construct a frequency polygon from
continuous data in a grouped
frequency table
4. Estimate the mean of continuous
data in a frequency polygon
5. Read and interpret a frequency
chart
5. Estimate the mean of continuous
data in a frequency chart
5. Construct a frequency polygon from
continuous data in a grouped
frequency table
5. Estimate the mean of continuous
data in a frequency polygon
6. Read and interpret a frequency
chart
6. Estimate the mean of continuous
data in a frequency chart
6. Construct a frequency polygon from
continuous data in a grouped frequency table
6. Estimate the mean of continuous
data in a frequency polygon
Maths Workout - Statistics & Probability
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Topic 16 - Histograms
Target 1 Target 2 Target 3 Target 4 Target 5
Understand and calculate frequency
density
Construct a histogram Read and interpret a histogram Read and interpret a histogram
Estimate the mean from a histogram
Construct, read and interpret
histograms displaying age and rounded continuous data
1. Calculate frequency density from a grouped frequency table
1. Construct a histogram 1. Demo: Read a histogram: equal width columns
1. Demo: Read a histogram: multiple column query
1. Demo: Understand class intervals when displaying age
2. Calculate frequency density from a
grouped frequency table
2. Construct a histogram 2. Read a histogram: equal width
columns: single column query
2. Read a histogram: multiple column
query
2. Calculate frequency density from
age data
3. Calculate with frequency, frequency
density and interval width
3. Construct a histogram 3. Read a histogram: equal width
columns: single column query
3. Read a histogram: multiple column
query
3. Construct a histogram displaying
age
4. Calculate with frequency, frequency
density and interval width
4. Construct a histogram 4. Complete a frequency table from a
histogram: equal width columns
4. Read a histogram: calculate the
total frequency
4. Construct a histogram displaying
age
5. Calculate with frequency, frequency
density and interval width
5. Construct a histogram 5. Demo: Read a histogram: unequal
width columns
5. Read a histogram: calculate the
total frequency
5. Construct a histogram displaying
age
6. Construct a histogram 6. Read a histogram: unequal width
columns: single column query
6. Read a histogram: estimate the
mean
6. Read a histogram displaying age:
single column query
7. Construct a histogram 7. Read a histogram: unequal width
columns: single column query
7. Read a histogram: estimate the
mean
7. Read a histogram displaying age:
multiple column query
8. Construct a histogram 8. Complete a frequency table from a
histogram: unequal width columns
8. Demo: Estimate frequency in a
histogram: partial column query
8. Demo: Understand class intervals
when displaying rounded continuous
data
9. Construct a histogram 9. Estimate frequency in a histogram:
partial column query
9. Calculate frequency density from
rounded continuous data
10. Construct a histogram 10. Estimate frequency in a
histogram: multiple and partial
column query
10. Construct a histogram displaying
rounded continuous data
11. Construct a histogram 11. Read a histogram displaying
rounded continuous data: single
column query
12. Construct a histogram 12. Read a histogram displaying
rounded continuous data: multiple column query
Maths Workout - Statistics & Probability
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Topic 17 - Measures of Spread 1
Target 1 Target 2 Target 3 Target 4 Target 5
Calculate the range of a set of raw
data
Revision: Calculate the median from a
set of raw data
Calculate the interquartile range of a
small set of raw data and a larger set of data in a frequency table
Construct a box plot from raw data Read and interpret a box plot
1. Calculate the range of a set of ordered raw data
1. Identify the median of an ordered data set: odd number of data items
1. Demo: Calculate the interquartile range of a set of raw data: data size
even
1. Demo: Construct a box plot 1. Demo: Read and interpret a box plot
2. Calculate the range of a set of raw
data
2. Identify the median of a data set by
ordering: odd number of data items
2. Demo: Calculate the interquartile
range of a set of raw data: data size
odd
2. Construct a vertical box plot given
min, Q1, Q2, Q3 and max values
2. Read and interpret a vertical box
plot
3. Calculate the range of a set of raw
data by sorting
3. Demo: Identify the median of a raw
data set: even number of values
3. Calculate the interquartile range of
a set of raw data
3. Construct two vertical box plots
given min, Q1, Q2, Q3 and max
values
3. Read and interpret two vertical box
plots
4. Calculate the range of a set of raw
data by sorting
4. Identify the median of a data set by
ordering: even number of data items
4. Calculate the interquartile range of
a set of raw data
4. Construct a horizontal box plot
given min, Q1, Q2, Q3 and max
values
4. Read and interpret a vertical box
plot
5. Calculate the range of a set of raw
data by sorting
5. Identify the median of a data set by
ordering
5. Calculate the interquartile range of
a set of raw data
5. Construct two horizontal box plots
given min, Q1, Q2, Q3 and max
values
5. Read and interpret two vertical box
plots
6. Calculate the range from data in a
bar chart
6. Speed Response: Identify a median
and its matching data set
6. Calculate the interquartile range of
a set of raw data
6. Construct a box plot from raw data 6. Read and interpret a horizontal box
plot
7. Speed Response: Identify a
matching range and data set
7. Demo: Calculate the interquartile
range from a frequency table using Q1 = (n+1)/4, Q3 = 3(n+1)/4
7. Construct two box plots from raw
data
7. Read and interpret two horizontal
boxplots
8. Speed Response: Identify a matching range and data set
8. Calculate the interquartile range from a frequency table
8. Construct a box plot from a frequency table
8. Read and interpret two horizontal boxplots
9. Calculate the interquartile range from a frequency table
9. Construct a box plot from a frequency table
9. Read and interpret two horizontal boxplots
10. Calculate the interquartile range
from a frequency table
10. Construct a box plot from a
frequency table
10. Read and interpret two horizontal
boxplots
Maths Workout - Statistics & Probability
© Smart Interactive Ltd. 84
Topic 18 - Measures of Spread 2
Target 1 Target 2 Target 3 Target 4 Target 5
Calculate cumulative frequency
Plot a cumulative frequency curve
Estimate the median and interquartile
range from a cumulative frequency curve
Interpret a cumulative frequency
curve
Construct a box plot from grouped
data
Compare box plots
1. Demo: Calculate cumulative frequency
1. Demo: Estimate the median and interquartile range from a cumulative
frequency curve
1. Interpret a cumulative frequency curve, reading from the vertical axis
to the horizontal axis
1. Demo: Construct a box plot from grouped data
1. Compare horizontal box plots: identify a correct statement
2. Speed response: Calculate
cumulative frequency
2. Estimate the median and
interquartile range from a cumulative
frequency curve
2. Interpret a cumulative frequency
curve, reading from the vertical axis
to the horizontal axis
2. Construct a box plot from grouped
data
2. Compare horizontal box plots:
identify a correct statement
3. Enrichment: Calculate frequency
from cumulative frequency
3. Estimate the median and
interquartile range from a cumulative
frequency curve
3. Interpret a cumulative frequency
curve, reading from 2 points on the
vertical axis to the horizontal axis
3. Construct a box plot from grouped
data
3. Compare horizontal box plots:
identify a correct statement
4. Demo: Understand the meaning of
cumulative frequency
4. Estimate the median and
interquartile range from a cumulative
frequency curve
4. Interpret a cumulative frequency
curve, reading from 2 points on the
vertical axis to the horizontal axis
4. Construct a box plot from grouped
data
4. Compare horizontal box plots:
identify two correct statements
5. Plot the points for a cumulative
frequency curve
5. Estimate the median and
interquartile range from a cumulative
frequency curve
5. Interpret a cumulative frequency
curve, reading from the horizontal
axis to the vertical axis
5. Construct a box plot from grouped
data
5. Compare vertical box plots: identify
a correct statement
6. Plot the points for a cumulative
frequency curve
6. Estimate the median and
interquartile range from a cumulative
frequency curve
6. Interpret a cumulative frequency
curve, reading from the horizontal
axis to the vertical axis
6. Construct a box plot from grouped
data
6. Compare vertical box plots: identify
a correct statement
7. Plot the points for a cumulative frequency curve
7. Estimate the median and interquartile range from a cumulative
frequency curve
7. Interpret a cumulative frequency curve, reading from the horizontal
axis to the vertical axis
7. Construct a box plot from grouped data with the cumulative frequency
chart on the same scale
7. Compare vertical box plots: identify a correct statement
8. Plot the points for a cumulative
frequency curve
8. Estimate the median and
interquartile range from a cumulative
frequency curve
8. Interpret a cumulative frequency
curve, reading from the either axis
using percentages
8. Construct a box plot from grouped
data with the cumulative frequency
chart on the same scale
8. Compare vertical box plots: identify
two correct statements
9. Plot the points for a cumulative
frequency curve
9. Estimate the median and
interquartile range from a cumulative
frequency curve
9. Construct a box plot from grouped
data with the cumulative frequency
chart on the same scale
10. Plot the points for a cumulative
frequency curve
10. Estimate the median and
interquartile range from a cumulative
frequency curve
10. Demo: Understand how a steep
ogive leads to a narrow box plot
11. Plot the points for a cumulative
frequency curve
12. Plot the points for a cumulative
frequency curve
Maths Workout - Statistics & Probability
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Topic 19 - Probability 1
Target 1 Target 2 Target 3 Target 4 Target 5
Revision of simple probability Understand mutual exclusivity
Calculate probabilities of ‘A’ and ‘not A’
Calculate with the sum of the
probabilities of all mutually exclusive events.
Calculate probabilities for mutually
exclusive events using the addition rule or otherwise
Calculate probabilities for mutually
exclusive events using the addition rule or otherwise: extension
1. Demo: Revision of simple probability
1. Demo: Understand mutually exclusive events
1. Demo: Understand that the sum of the probabilities of all mutually
exclusive events is 1
1. Demo: Calculate probabilities for mutually exclusive events using the
addition rule or otherwise
1. Calculate probabilities for mutually exclusive events
2. Calculate simple probability 2. Demo: Understand mutually
exclusive events using Venn diagrams
2. Calculate probabilities based on the
fact that the sum of the probabilities
of all mutually exclusive events is 1
2. Calculate probabilities for mutually
exclusive events
2. Calculate probabilities for mutually
exclusive events
3. Calculate simple probability 3. Distinguish between mutually
exclusive events and non-mutually
exclusive events
3. Solve problems with mutually
exclusive events
3. Calculate probabilities for mutually
exclusive events
3. Calculate probabilities for mutually
exclusive events
4. Calculate simple probability 4. Distinguish between mutually
exclusive events and non-mutually
exclusive events
4. Solve problems with mutually
exclusive events
4. Calculate probabilities for mutually
exclusive events
4. Calculate probabilities for mutually
exclusive events
5. Calculate simple probability 5. Distinguish between mutually
exclusive events and non-mutually
exclusive events
5. Demo: Understand that the sum of
the probabilities of all mutually
exclusive events is 1: more than 2
events
5. Calculate probabilities for mutually
exclusive events
5. Calculate probabilities for mutually
exclusive events
6. Calculate simple probability 6. Calculate probabilities of ‘A’ and
‘not A’
6. Calculate probabilities based on the
fact that the sum of the probabilities of all mutually exclusive events is 1
6. Calculate probabilities for mutually
exclusive events
6. Calculate simple probabilities:
Revision for Task 7
7. Calculate simple probability 7. Calculate probabilities of ‘A’ and
‘not A’
7. Calculate probabilities based on the
fact that the sum of the probabilities
of all mutually exclusive events is 1
7. Calculate probabilities for mutually
exclusive events
8. Calculate simple probability 8. Solve problems with mutually
exclusive events
9. Calculate simple probability 9. Solve problems with mutually
exclusive events
10. Calculate simple probability 10. Solve problems with mutually
exclusive events
Maths Workout - Statistics & Probability
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Topic 20 - Probability 2
Target 1 Target 2 Target 3 Target 4 Target 5
Understand independence
Know and use the multiplication rule
Understand and complete a tree
diagram: independent and dependent events
Use a tree diagram to calculate
probabilities of independent events
Use a tree diagram to calculate
probabilities of dependent events
Calculate ‘At Least’ probability
Identify and calculate conditional probability
1. Demo: Understand independence and the multiplication rule
1. Demo: Understand and complete a tree diagram: independent events
1. Demo: Use a tree diagram to calculate probabilities: independent
events
1. Demo: Use a tree diagram to calculate probabilities: dependent
events
1. Demo: Calculate ‘At Least’ probabilities
2. Calculate probabilities of
independent events using the
multiplication rule
2. Complete a tree diagram 2. Calculate probabilities of
independent events using a tree
diagram
2. Calculate probabilities of dependent
events using a tree diagram
2. Demo: Calculate ‘At Least’
probabilities: alternative approach
3. Calculate probabilities of
independent events using the
multiplication rule
3. Complete a tree diagram 3. Calculate probabilities of
independent events using a tree
diagram
3. Calculate probabilities of dependent
events using a tree diagram
3. Calculate ‘At Least’ probabilities
4. Calculate probabilities of
independent events using the
multiplication rule
4. Complete a tree diagram 4. Demo: Use a tree diagram to
calculate probabilities: independent
events
4. Calculate probabilities of dependent
events using a tree diagram
4. Calculate ‘At Least’ probabilities
5. Calculate probabilities of
independent events using the
multiplication rule
5. Complete a tree diagram 5. Calculate probabilities of
independent events using a tree
diagram
5. Calculate probabilities of dependent
events using a tree diagram
5. Calculate ‘At Least’ probabilities
6. Calculate probabilities of
independent events using the
multiplication rule
6. Complete a tree diagram 6. Calculate probabilities of
independent events using a tree
diagram
6. Calculate probabilities of dependent
events using a tree diagram
6. Calculate ‘At Least’ probabilities
7. Calculate probabilities of independent events using the
multiplication rule
7. Demo: Understand and complete a tree diagram: dependent events
7. Calculate probabilities of independent events
7. Calculate probabilities of dependent events
7. Demo: Identify conditional probabilities in a tree diagram
8. Calculate probabilities of
independent events using the
multiplication rule
8. Complete a tree diagram 8. Identify conditional probabilities in
a tree diagram
9. Calculate probabilities of
independent events using the
multiplication rule
9. Complete a tree diagram 9. Identify conditional probabilities in
a tree diagram
10: Demo: Summary of addition rule
and multiplication rule
10. Complete a tree diagram 10. Calculate with conditional
probabilities
11. Complete a tree diagram 11. Calculate with conditional
probabilities
12. Complete a tree diagram 12. Calculate with conditional
probabilities
Maths Workout - Statistics & Probability
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Topic 21 - Language Tasks & Quizzes 2
Target 1 Target 2 Target 3 Target 4 Target 5
Engage with Maths language by
matching terms to their descriptions
Engage with Maths language through
wordsearch puzzles
Engage with Maths language through
crossword puzzles
Engage with Maths language by
completing sentences
Quizzes: Mixed questions on Topics 13
to 20; Differentiated from 1 to 7
1. Match terms to their descriptions 1. Complete a wordsearch 1. Complete a crossword 1. Enter missing words in sentences 1. Quiz: Mixed questions from Topics
13 to 20
2. Match terms to their definitions 2. Complete a wordsearch 2. Complete a crossword 2. Enter missing words in sentences 2. Quiz: Mixed questions from Topics 13 to 20
3. Match terms to their definitions 3. Complete a wordsearch 3. Complete a crossword 3. Enter missing words in sentences 3. Quiz: Mixed questions from Topics 13 to 20
4. Match terms to their definitions 4. Complete a wordsearch 4. Complete a crossword 4. Enter missing words in sentences 4. Quiz: Mixed questions from Topics
13 to 20
5. Match terms to their definitions 5. Complete a wordsearch 5. Complete a crossword 5. Enter missing words in sentences 5. Quiz: Mixed questions from Topics
13 to 20
6. Match terms to their definitions 6. Enter missing words in sentences 6. Quiz: Mixed questions from Topics
13 to 20
7. Match terms to their definitions 7. Enter missing words in sentences 7. Quiz: Mixed questions from Topics
13 to 20
8. Match terms to their definitions 8. Enter missing words in sentences
9. Match terms to their definitions
10. Match terms to their definitions
11. Match terms to their definitions
Maths Workout - Algebra & Problem Solving
© Smart Interactive Ltd. 88
Algebra & Problem Solving Topics
Topic Target 1 Target 2 Target 3 Target 4 Target 5
1 Writing Algebra 1
Multiply a constant by a variable and a variable by a
variable, e.g. 4xb=4b,
3x4b=12b
Multiply 2 terms, e.g.
3ax4b=12ba, c x c=c2
Express an addition or
subtraction phrase with a single variable as an
expression
Express a multiplication or
division phrase with a single variable as an
expression
Express a single stage
phrase with up to 2 variables as an expression
2 Writing Algebra 2
Express a 2-stage phrase
with a single variable as an
expression: multiply, add
and subtract
Express a 2-stage phrase
with a single variable as an
expression: divide, add and
subtract
Express a 2-stage phrase
with 2 variables as an
expression
Express a 2-stage phrase
with up to 2 variables as an
expression (using brackets)
Express a 2-stage phrase
with up to 2 variables as an
expression (using algebraic
brackets and fractions)
3 Like Terms
Simplify an expression of
up to 3 single variable
terms by collecting like terms (positive answers)
Add and subtract integers:
Revision prior to adding and
subtracting terms
Simplify an expression of
up to 3 single variable
terms by collecting like terms (pos and neg
answers)
Simplify an expression of
up to 4 double variable
terms by collecting like terms
Simplify an expression of
up to 6 double variable
terms by collecting like terms
4 Expanding Brackets
Expand brackets of the
form 2(a+3), 3(2t-3):
single variable
Expand brackets of the
form 4a(2b-2), a(3a+2): up
to 2 variables
Expand brackets of the
form -(y–4),-4a(3b+2): up
to 2 variables
Expand brackets of the
form 4a(b-c), -3b(a+b-c):
up to 4 variables
Expand brackets and
simplify an expression of
the form 3(7x+2)+3x,
-3a(7a+2)-3a(a+2)
5 Factorising
Identify the HCF of 2 or 3
numbers
Identify the HCF of up to 3
algebraic terms
Factorise an expression of
the form 3t+6, 9ab-3b
Factorise an expression of
the form ab2+6b, 3cd2–12d
Factorise an expression of
the form 15a2-3ac+9ab
Simplify an algebraic
fraction by factorisation
6 Solving Equations 1
Solve a simple equation by inspection: x+4=12, 2x=4,
x/2=5
Complete the solution to a simple equation:
2x+3x=10, 2x+1=7,
x/2+3=5
Complete the solution to a simple equation:
3(x+4)=15, 3(x+1)=x-8,
3(x+1)=3(x-8)
Solve a simple equation of the form 2x+3x=10,
2x+1=7
Solve a simple equation of the form x/2+3=5,
3(x+4)=15, 3(x+1)=x-8,
3(x+1)=-3(x-8)
7 Algebraic Modelling
Use algebraic modelling to solve a single-stage
problem
Use algebraic modelling to solve a 2-stage problem
Use algebraic modelling to solve a 2-stage problem
Use algebraic modelling to solve a 3-stage problem
including the use of
brackets
Use algebraic modelling to solve a 3-stage problem
including the use of
brackets
8 Substitution
Revise the order of
operations
Find the value of an
expression by substitution;
non-negative values
Find the value of an expression by substitution;
non-negative values
Find the value of an expression by substitution;
some negative values
Find the value of an expression by substitution;
extension
9 Formulae
Substitute into formulae;
convert between Fahrenheit
and Celsius; recognise
common formulae
Use a formula in reverse
given the subject
Use a formula in reverse
given the subject
Solve a problem using a
formula
Solve a problem using a
formula
Construct a formula from
given information
10 Problem Solving Theory Identify the features of a problem versus a
straightforward question
Identify the abilities and qualities required to solve a
problem
Understand the 4-stage
problem solving process
Be aware of some useful
problem solving strategies
Maths Workout - Algebra & Problem Solving
© Smart Interactive Ltd. 89
Algebra & Problem Solving Topics
Topic Target 1 Target 2 Target 3 Target 4 Target 5
11 Spotting Patterns
Copy a shape pattern Complete missing elements
in a pattern or sequence of objects
Extend a sequence of
shapes and extract information to form a
simple number sequence
Extend a sequence of
shapes or a line pattern Extend a sequence of
shapes
12 Problems & Puzzles 1
Solve a space-filling
problem: Pentominoes
Solve a matchstick puzzle Play Solitaire
Play Lights Out
Solve an anagram-style
number puzzle
Play Noughts & Crosses
Solve the frog puzzle
Solve the Queens problem
Play 4-in-a-Row
Solve a logic problem:
Guess the Pegs
13 Language Tasks & Quizzes 1
Engage with Maths
language by matching
terms to their descriptions
Engage with Maths
language through
wordsearch puzzles
Engage with Maths
language through
crossword puzzles
Engage with Maths
language by completing
sentences and through Hangman game
Quizzes: Puzzles and
problems differentiated
from 1 to 7
14 Sequences 1
Enter missing terms in a sequence with a common
difference
Enter missing terms in a sequence with a common
difference
Enter missing terms in a sequence with next term
rule of the form: Un+1=
3Un+1, 3(Un+1), Un/3+1,
(Un+1)/3
Enter missing terms in a sequence with a
miscellaneous next term
rule, including a Fibonacci
sequence
Enter missing terms in a sequence with a
miscellaneous next term
rule, including a Fibonacci
sequence
15 Sequences 2 Use the nth term rule to
generate a sequence
Identify the nth term rule of a sequence with a common
difference
Use the nth term rule to
generate a sequence
Identify the nth term rule of a quadratic sequence
using differences
Identify the nth term rule of a quadratic sequence using
differences
16 Solving Equations 2 Solve an equation with up
to 1 bracket on each side
Solve an equation with up
to 3 brackets on each side
Solve an equation with
fractions
Solve a problem using
algebraic modelling
Solve an equation by trial
and improvement
17 Straight Lines 1
Read and plot coordinates
in all 4 quadrants
Read and plot coordinates
in all 4 quadrants
Draw a straight line by
calculating and plotting points
Calculate the gradient of a
straight line between two points
Calculate the equation of a
straight line by calculating the gradient and identifying
the y-intercept
Know y=mx+c
18 Straight Lines 2
Calculate the equation of a
straight line
Rearrange an equation to
the form y=mx+c to find
the gradient and intercept
Find the midpoint between
2 points the length of a line
segment
Calculate the length of a
line segment
Solve problems with
parallel and perpendicular
lines
19 Simultaneous Equations
Solve a pair of
simultaneous equations
graphically
Solve a pair of
simultaneous equations by
elimination: adding or subtracting leads directly to
solution
Solve a pair of
simultaneous equations by
elimination: multiply one equation
Solve a pair of
simultaneous equations by
elimination: multiply both equations
Solve a pair of
simultaneous equations by
substitution
Solve a pair of
simultaneous equations: 1
linear; 1 quadratic
20 Change the subject of a Formula
Change the subject of a formula: 1 or more
operations required
Change the subject of a formula: 2 or more
operations required
Change the subject of a formula: 3 or more
operations required
Change the subject of a formula involving squares
and square roots
Change the subject of a formula: 3 or more
operations required
including factorisation
21 Quadratics 1 Draw a quadratic by
calculating and plotting
points
Draw a quadratic by
calculating and plotting
points
Identify the intersection
points of a quadratic and a
straight line
Identify the intersection
points of a quadratic and a
straight line
Multiply out a factorised
quadratic expression
Maths Workout - Algebra & Problem Solving
© Smart Interactive Ltd. 90
Algebra & Problem Solving Topics
Topic Target 1 Target 2 Target 3 Target 4 Target 5
22 Quadratics 2
Factorise a quadratic
expression
Solve a quadratic equation
Multiply out and factorise using the difference of 2
squares
Solve a quadratic equation
by rearranging and factorising
Solve problems involving
quadratics
Solve a quadratic equation
with non-unit x2 coefficient
Solve a quadratic equation
by completing the square
Solve a quadratic equation
using the quadratic formula
Solve further problems
23 Indices 2
Know and apply the rules of
indices to numerical
expressions
Know and apply the rules of
indices to algebraic
expressions
Know and apply the rules of
indices to numerical and
algebraic expressions
Convert between fractional
indices and surds, and
evaluate expressions
Solve equations involving
indices
Evaluate and simplify
expressions in index form
Solve equations involving
indices
24 Algebraic Fractions Simplify an algebraic fraction Simplify an algebraic
fraction
Multiply and divide, add
and subtract algebraic
fractions
Add and subtract algebraic
fractions
25 Inequalities
Write and interpret an inequality and represent it
on a number line
Write and interpret a combined inequality and
represent it on a number
line
Solve an inequality algebraically
Solve an inequality with fractions algebraically
26 Proportion 2 Solve a direct proportion
question using a constant
of proportionality
Solve a direct proportion
question using a constant
of proportionality
Solve an inverse proportion
question using a constant
of proportionality
Solve an inverse proportion
question using a constant
of proportionality
27 Problems & Puzzles 2
Solve a spatial puzzle:
Gridlock
Solve Tile Slide, Towers of
Hanoi
Play a sequence memory
game
Solve a nonogram puzzle Solve a logic problem based
on sequencing
Solve a logic problem based
on information handling
28 Problems & Puzzles 3 – Coming 2015
29 Language Tasks & Quizzes 2 Engage with Maths language by matching
terms to their descriptions
Engage with Maths language through
wordsearch puzzles
Engage with Maths language through
crossword puzzles
Engage with Maths language by completing
sentences
Quizzes: Puzzle & problems; Differentiated
from 1 to 7
Maths Workout - Algebra & Problem Solving
© Smart Interactive Ltd. 91
Topic 1 - Writing Algebra 1
Target 1 Target 2 Target 3 Target 4 Target 5
Multiply a constant by a variable and a variable by a variable, e.g. 4xb=4b,
3x4b=12b
Multiply 2 terms, e.g. 3ax4b=12ba, c
x c=c2
Express an addition or subtraction
phrase with a single variable as an expression
Express a multiplication or division
phrase with a single variable as an expression
Express a single stage phrase with up
to 2 variables as an expression
1. Demo: Basic algebraic terms 1. Multiply 2 variables together, e.g. c
x d=cd, c x c=c2
1. Convert an addition phrase to an
expression, e.g. a plus 4 a+4
1. Convert a phrase into an
expression
1. Convert an addition or subtraction
phrase to an expression, e.g. a plus b
a+b
2. Multiply a variable by a constant and write in proper notation, e.g. 4 x
a=4a, 1xb=b
2. Calculate the area of a square, rectangle or triangle with algebraic
edge lengths
2. Calculate the total length of a shape with part lengths as algebraic
terms
2. Convert a phrase into an expression: includes addition and
subtraction
2. Calculate the total length of a shape with part lengths as algebraic
terms
3. Calculate the area of a rectangle
with algebraic edge lengths
3. Multiply 2 terms and write in proper
notation, e.g. 3c x d=3cd, 4e x
2e=8e2
3. Convert a subtraction phrase to an
expression, e.g. h take away 4 h–4
3. Convert a multiplication phrase to
an expression, then simplify to a
single term, e.g. 4 times h 4xh=4h
3. Convert a addition or subtraction
phrase in graphical form to an
expression
4. Multiply a variable by a constant
and write in proper notation, e.g.
4x2a=8a, 1x4b=4b
4. Calculate the area of a square,
rectangle or triangle with edge lengths
as algebraic terms
4. Convert a subtraction phrase in
graphical form to an expression
4. Convert a multiplication phrase to
an algebraic term, e.g. 4 times h
4h
4. Convert a phrase to an expression
(single variable) e.g. What number is
5 more than b?
5. Calculate the area of a rectangle
with algebraic edge lengths
5. Speed response: Identify a
multiplication and the correct answer,
e.g. c x d=cd, c x c=c2
5. Convert a phrase into an
expression: Summary task
5. Solve simple proportion problems
with algebraic values
5. Convert a phrase to an expression
(single variable) e.g. What number is
b less than 4?
6. Speed response: Identify a
multiplication and the correct answer,
e.g. 3xd=3d, 1xe=e
6. Speed response: Identify a
multiplication and the correct answer,
e.g. 5c x 3d=15cd, 2c x 3c=6c2
6. Convert a division phrase to an
expression, then simplify to a single
term
6. Convert a phrase to an expression
(2 variables) e.g. What number is c
more than b?
7. Speed response: Identify a
multiplication and the correct answer,
e.g. 3x4d=12d
7. Solve simple proportion problems
with algebraic values
7. Solve an algebra problem in
context, e.g. Priya is n years old. How
old will she be in 4 years’ time?
8. Solve an algebra problem in
context, e.g. Priya is n years old. How
old will she be in m years’ time?
9. Solve an algebra problem in
context (Extension)
10. Solve an algebra problem in
context (Extension)
Maths Workout - Algebra & Problem Solving
© Smart Interactive Ltd. 92
Topic 2 - Writing Algebra 2
Target 1 Target 2 Target 3 Target 4 Target 5
Express a 2-stage phrase with a single
variable as an expression: multiply, add and subtract
Express a 2-stage phrase with a single
variable as an expression: divide, add and subtract
Express a 2-stage phrase with 2
variables as an expression
Express a 2-stage phrase with up to 2
variables as an expression (using brackets)
Express a 2-stage phrase with up to 2
variables as an expression (using algebraic brackets and fractions)
1. Convert a phrase to an expression, e.g. What number is 5 more than 2
times b?
1. Convert a phrase to an expression, e.g. Divide x by 2 then add 3
1. Convert a phrase to an expression, e.g. What number is 5 more than 2
times b?
1. Demo: Use of brackets 1. Demo: Use of algebraic fractions with and without brackets
2. Calculate missing lengths of a
shape with part lengths as algebraic
terms
2. Calculate missing lengths of a
shape with part lengths as algebraic
terms
2. Calculate missing lengths of a
shape with part lengths as algebraic
terms
2. Convert a phrase to an expression,
e.g. add 2 to b, then multiply the
result by 2
2. Convert a phrase to an expression,
e.g. add 2 to b, then divide/multiply
the result by 2
3. Calculate missing lengths of a
shape with part lengths as algebraic
terms
3. Convert a phrase to an expression
e.g. What number is 2 less then a half
of b?
3. Calculate missing lengths of a
shape with part lengths as algebraic
terms
3. Calculate missing lengths of a
shape with part lengths as algebraic
terms
3. Convert a phrase to an expression,
e.g. What number is half the sum of a
and b?
4. Convert a phrase to an expression,
e.g. What number is 5 more than 3
times d?
4. Convert a phrase to an expression,
e.g. I start with d, divide by 2 then
add 6. What am I left with?
4. Convert a phrase to an expression,
e.g. What number is 5 more than 3
times d?
4. Convert a phrase to an expression,
e.g. What number is twice the sum of
a and b?
4. Convert a phrase to an expression,
e.g. I start with d, add 2 then
divide/multiply by 6. What am I left
with?
5. Convert a phrase to an expression,
e.g. I start with d, multiply by 2 then
add 6. What am I left with?
4. Complete a number machine 5. Convert a phrase to an expression,
e.g. I start with d, multiply by 2 then
add 6. What am I left with?
5. Convert a phrase to an expression,
e.g. I start with d, add 2 then multiply
by 6. What am I left with?
5. Complete a number machine
6. Complete a number machine 6. Complete a number machine 6. Complete a number machine 6. Complete a number machine 6. Complete a number machine
7. Complete a number machine 7. Speed Response: Assemble a
number machine
7. Complete a number machine 7. Complete a number machine 7. Speed Response: Assemble a
number machine
8. Complete a number machine 8. Speed Response : Fun: Assemble a
number machine with inverted elements
8. Speed Response: Assemble a
number machine
8. Complete a number machine 8. Speed Response: Fun: Assemble a
number machine with inverted elements
9. Speed Response: Assemble a number machine
9. Speed Response: Fun: Assemble a number machine with inverted
elements
9. Speed Response: Assemble a number machine
10. Speed Response: Fun: Assemble a
number machine with inverted
elements
10. Speed Response: Fun: Assemble a
number machine with inverted
elements
Maths Workout - Algebra & Problem Solving
© Smart Interactive Ltd. 93
Topic 3 - Like Terms
Target 1 Target 2 Target 3 Target 4 Target 5
Simplify an expression of up to 3
single variable terms by collecting like terms (positive answers)
Add and subtract integers: Revision
prior to adding and subtracting terms
Simplify an expression of up to 3
single variable terms by collecting like terms (pos and neg answers)
Simplify an expression of up to 4
double variable terms by collecting like terms
Simplify an expression of up to 6
double variable terms by collecting like terms
1. Demo: Know ‘like terms’ and to simplify an expression consisting of 2
like terms, e.g. 2x+3x=5x, 3t-2=2t
1. Subtract a positive 1-digit or 2-digit integer from a positive 1-digit integer
1. Demo: Simplify an expression consisting of 2 like terms, e.g. 2x-
3x=-x; Compare with integers
1. Speed Response: Identify double variable like terms
1. Simplify an expression consisting of 4 single variable terms,
e.g. 2x+3b-3x+b=5x+2b
2. Speed Response: Identify like
terms
2. Add a positive 1-digit integer to a
positive 1-digit or 2-digit integer
2. Simplify an expression consisting of
2 like terms, e.g. 2x-3x=-x
2. Simplify an expression consisting of
2 like double variable terms,
e.g. ab+3ba=4ab, 2x2-3x2=-x2
2. Simplify an expression consisting of
4 double variable terms,
e.g. 2xy+3ab+3xy+ab=5xy+ab
3. Simplify an expression consisting of
2 like terms, e.g. 2x+3x=5x
3. Subtract a 1-digit or 2-digit positive
integer from a 1-digit integer
3. Simplify an expression consisting of
2 like terms with 2 adjacent signs,
e.g. 2x--3x=2x+3x=5x Showing
intermediate working
3. Simplify an expression consisting of
2 like terms with or without 2
adjacent signs
3. Simplify an expression consisting of
5 single variable terms,
e.g. 2x+3b-3x+b–4x=x+2b
4. Calculate missing lengths of a
shape with part lengths as algebraic
terms
4. Add a positive 1-digit integer to a
1-digit or 2-digit negative integer
4. Simplify an expression consisting of
2 like terms with 2 adjacent signs,
e.g. 2x--3x=5x
4. Simplify an expression consisting of
3 like terms, e.g. 2xy+3xy-xy=4xy
4. Simplify an expression consisting of
5 double variable terms,
e.g. 2xy+3ab+3xy+ab–xy=4xy+ab
5. Calculate missing lengths of a
shape with part lengths as algebraic
terms
5. Add a negative single digit integer
to a negative single or 2-digit integer
5. Simplify an expression consisting of
2 like terms with or without 2
adjacent signs
5. Simplify an expression consisting of
2 like terms and a constant or other
variable, e.g. 2xy+6-xy=xy+6
5. Simplify an expression consisting of
6 single variable terms,
e.g. 2x+3b-3x+b+5x–3b=10x+b
6. Simplify an expression consisting of
3 like terms, two of them like, e.g. 2x+3b+3x=5x+3b
6. Subtract a negative 1-digit or 2-
digit integer from a positive 1-digit integer
6. Simplify an expression consisting of
3 like terms, e.g. 2x+3x-x=4x
6. Demo: Rearrange an expression to
enable easy simplification
6. Simplify an expression consisting of
6 double variable terms, e.g. 2xy+3ab–3yx+ba+5xy–
3ab=10xy+ab
7. Calculate the perimeter of a
rectangle with edge lengths as
algebraic terms and constants
7. Subtract a negative 1-digit or 2-
digit integer from a negative 1-digit
integer
7. Simplify an expression consisting of
2 like terms and a constant or other
variable, e.g. 2x+6-x=x+6
7. Simplify an expression consisting of
4 single variable terms, e.g. 2x+3b-
3x+b=5x+2b
7. Solve an algebra wall puzzle with
single variables: 3 along base: all
positive
8. Calculate the perimeter of a
rectilinear shape with edge lengths as
algebraic terms and constants
8. Mixed additions and subtractions of
integers
8. Speed Response: Identify an
expression and its correct
simplification, e.g. 3d-4d=-d
8. Simplify an expression consisting of
4 double variable terms, e.g.
2xy+3ab+3xy+ab=5xy+ab
8. Solve an algebra wall puzzle with
single variables: 3 along base
9. Speed response: Identify an
expression and the correct
simplification, e.g. 3d-4d=-d
9. Solve a magic square puzzle with
integers 3x3
9. Speed response: Identify an
expression and its correct
simplification, e.g. 3d-4d+7=-d+7
9. Solve an algebra wall puzzle with
single variables: 3 along base: cryptic
10. Solve a magic square puzzle with
integers 4x4
10. Solve an algebra wall puzzle with
single variables: 4 along base: all
positive
11. Solve a number triangle puzzle
with integers; 3 along base
11. Solve an algebra wall puzzle with
single variables: 4 along base
12. Solve a number triangle puzzle
with integers; 4 along base
12. Solve an algebra wall puzzle with
single variables: 4 along base: cryptic
Maths Workout - Algebra & Problem Solving
© Smart Interactive Ltd. 94
Topic 4 - Expanding Brackets
Target 1 Target 2 Target 3 Target 4 Target 5
Expand brackets of the form
2(a+3), 3(2t-3): single variable
Expand brackets of the form
4a(2b-2), a(3a+2): up to 2 variables
Expand brackets of the form
-(y–4),-4a(3b+2): up to 2 variables
Expand brackets of the form 4a(b-c),
-3b(a+b-c): up to 4 variables
Expand brackets and simplify an expression of the form 3(7x+2)+3x,
-3a(7a+2)-3a(a+2)
1. Demo: Expand brackets of the form
2(x+3)
1. Expand brackets of the form
a(b+3)
1. Expand brackets of the form
-2(x+3)
1. Expand brackets of the form
-2a(3b+3), -c(4-2c)
1. Expand brackets and simplify an
expression of the form -2(x+3)+3 and
2. Expand brackets of the form
2(x+3), 3(2+t)
2. Find the area of a rectangle with
algebraic edge lengths
2. Expand brackets of the form
-2(x-3)
2. Expand brackets of the form
5(a+c), -2a(b-c)
2. Expand brackets and simplify an
expression of the form 3-2(x+3)
3. Find the area of a rectangle with
algebraic edge lengths with assistance
3. Expand brackets of the form a(b –
3), c(1-d)
3. Expand brackets of the form
-(x+3)
3. Expand brackets of the form
-2(a+b-c)
3. Expand brackets and simplify an
expression of the form -2(x+3)+3x
4. Find the area of a rectangle with
algebraic edge lengths
4. Find the area of a rectangle with
algebraic edge lengths
4. Expand brackets of the form
-(x–2)
4. Expand brackets of the form
-2a(a+b-c)
4. Expand brackets and simplify an
expression of the form 3x-2(x+3)
5. Speed Response: Identify an
expression and its expanded form.
5. Expand brackets of the form
a(a+3), c(1-c)
5. Expand brackets of the form
-2a(b+3), -c(c+4)
5. Expand brackets of the form
-2a(a2+a-1)
5. Expand brackets and simplify an
expression of the form -2x(x+3)+3x
6. Expand brackets of the form
2(x–3), 3(4-r)
6. Expand brackets of the form
a(2a+3), 3c(1-c)
6. Expand brackets of the form
-2a(b-3), -c(5-c)
6. Expand brackets of the form
-2(3a+2b-c+4)
6. Expand brackets and simplify an
expression of the form 3x-2x(x+3)
7. Expand brackets of the form
2(2x+3)
7. Expand brackets of the form
3a(2a+3), 3c(1-4c)
7. Expand brackets of the form
-2a(3b+3), -c(4-2c)
7. Expand brackets of the form
-2b(3a2+2b–c+4)
7. Expand brackets and simplify an
expression of the form 3(x-3)+2(x-5):
1 variable
8. Expand brackets of the form
2(2x-3)
8. Mixed examples from tasks 1 to 7 8. Mixed examples of tasks 1 to 8 8. Expand brackets and simplify an
expression of the form 3(x-y)-2(x+y):
2 variables
9. Mixed examples from tasks 1 to 10 9. Memory Game: Identify an expression and its expanded form
9. Mixed examples of tasks 1 to 8 including positive bracket multipliers
9. Expand brackets and simplify an expression of the form 3x(x-1)-2x(x-
2): 1 variable
10. Speed Response: Identify an
expression and its expanded form.
10. Memory Game: Identify an
expression and its expanded form:
expanded form in reverse order
10. Speed Response: Match an
expression in brackets and its
expanded form
10. Expand brackets and simplify an
expression of the form 3x(x-y)-2x(y-
x): 2 variables
Maths Workout - Algebra & Problem Solving
© Smart Interactive Ltd. 95
Topic 5 - Factorising
Target 1 Target 2 Target 3 Target 4 Target 5
Identify the HCF of 2 or 3 numbers
Identify the HCF of up to 3 algebraic
terms
Factorise an expression of the form
3t+6, 9ab-3b
Factorise an expression of the form
ab2+6b, 3cd2–12d
Factorise an expression of the form
15a2-3ac+9ab
Simplify an algebraic fraction by
factorisation
1. Find the HCF of two numbers by
identifying the greatest factor in both
lists of factors
1. Demo: Identify the HCF of 2
algebraic terms 1. Demo: Factorise an expression of
the form 2t+6, 2t-6, 6+2t, 6-2t
1. Factorise an expression of the form
b2-6b, 6b-b2
1. Simplify an expression of the form
(3x+6)/3
2. Find the HCF of two numbers by identifying the greatest factor in both
lists of factors
2. Identify the HCF of 2 algebraic
terms
2. Factorise an expression of the form
2t+6 and 6+2t
2. Factorise an expression of the form
10b2-6b, 6b-4b2
2. Simplify an expression of the form
(6x+12)/2
3. Find the HCF of two numbers by
identifying the greatest factor in both
lists of factors
3. Identify the HCF of 2 algebraic
terms: more complex terms
3. Factorise an expression of the form
4-2t and 2t-4
3. Factorise an expression of the form
ab2+6b, 3cd2–12d
3. Simplify an expression of the form
(4x+8)/(x+2)
4. Complete a Venn diagram of factors
and thereby find the HCF of 20 and 24
4. Identify the HCF of 2 algebraic
terms: more complex terms
4. Speed Response: Identify an
expression and its factorised form. 4. Factorise an expression of the form
15a+3b+9, 10d+15e+5f
4. Simplify an expression of the form
(4x+8)/(3x+6)
5. Complete a Venn diagram of factors
and thereby find the HCF of 24 and 36
5. Identify the HCF of 3 algebraic
terms: more complex terms
5. Factorise an expression of the form
8b+14, 20c-12
5. Factorise an expression of the form
15a2-3a+9ab
5. Simplify an expression of the form
(12x2-6x)/3
6. Complete a Venn diagram of factors
and thereby find the HCF of 36 and 48
6. Identify the HCF of 3 algebraic
terms: extension
6. Speed Response: Identify an
expression and its factorised form. 6. Factorise an expression of the form
15a2b-3abc+9ab2
6. Simplify an expression of the form
(6x2+2x)/(3x+1)
7. Complete a Venn diagram of factors and thereby find the HCF of 30, 32
and 48
7. Divide two terms of the type: 3x/2
in preparation for factorising
7. Mixed examples from Tasks 2,3 and
5
7. Simplify an expression of the form
(12x–4y+2)/2
8. Complete a Venn diagram of factors
and thereby find the HCF of 48, 64
and 72
8. Divide two terms of the type:
6x2/2x
8. Factorise an expression of the form
ab+6b, 3b-bc
8. Simplify an expression of the form
(12x–4y+8z)/2
9. Find the HCF of two numbers < 100 9. Divide two terms of the type: 3pq/p 9. Factorise an expression of the form
16ab+6b, 3cd-12c
10. Find the HCF of two numbers <
200
10. Mixed exercise from Tasks 7 to 9 10. Mixed examples from Tasks 8 and
9
Maths Workout - Algebra & Problem Solving
© Smart Interactive Ltd. 96
Topic 6 - Solving Equations 1
Target 1 Target 2 Target 3 Target 4 Target 5
Solve a simple equation by inspection: x+4=12, 2x=4, x/2=5
Complete the solution to a simple equation:
2x+3x=10, 2x+1=7, x/2+3=5
Complete the solution to a simple equation:
3(x+4)=15, 3(x+1)=x-8,
3(x+1)=3(x-8)
Solve a simple equation of the form 2x+3x=10, 2x+1=7
Solve a simple equation of the form x/2+3=5, 3(x+4)=15, 3(x+1)=x-8,
3(x+1)=-3(x-8)
1. Demo: Solve an equation by inspection
1. Demo: Solve a simple equation of the form 2x+3=10, 6(x-3)=12 using
formal methods
1. Complete the solution to a simple equation of the form 2(x+1)=8
1. Solve a simple equation of the form 2x+3x=10, 6x-3x=9
1. Solve a simple equation of the form x/2+3=10, x/2-3=9
2. Solve a simple equation of the form x+2=5 by inspection
2. Complete the solution to a simple equation of the form 2x+3x=10, 6x-
3x=9
2. Complete the solution to a simple equation of the form 2(x-1)=8
2. Solve a simple equation of the form 3x=-2t+10
2. Solve a simple equation of the form 2(x+1)=8, 2(x-1)=-5
3. Solve a simple equation of the form
x+2=5 by inspection, some negative
answers
3. Complete the solution to a simple
equation of the form 5x=2x+9
3. Complete the solution to a simple
equation of the form 4x+1=2x+9
3. Solve a simple equation of the form
3x+1=10
3. Solve a simple equation of the form
-2(x+1)=8, -(x-1)=5
4. Solve a simple equation of the form
x-2=5 by inspection
4. Complete the solution to a simple
equation of the form 2x+1=7
4. Complete the solution to a simple
equation of the form 4(x+1)=2(x+3)
4. Mixed examples from Tasks 1 to 3 4. Solve a simple equation of the form
4x+1=-2x-9
5. Solve a simple equation of the form x-2=5 by inspection, some negative
answers
5. Complete the solution to a simple equation of the form 2x-1=7
5. Complete the solution to a simple equation of the form 4(x-1)=2(x+3)
5. Solve a simple equation of the form 2(x+1)=8x+1, 2(x-1)=-8x+1
6. Solve a simple equation of the form 2x=6 by inspection
6. Complete the solution to a simple equation of the form x/2+1=7
6. Complete the solution to a simple equation of the form -4(x-1)=2(x-3)
6. Solve a simple equation of the form -2(x+1)=8x+1, -(x-1)=-8x+1
7. Solve a simple equation of the form
2x=6 by inspection, including some negative answers
7. Complete the solution to a simple
equation of the form x/2-1=7
7. Solve a simple equation of the form
4(x-1)=2(x+2)
8. Solve a simple equation of the form
x/2=3 by inspection
8. Solve a simple equation of the form
-4(x-1)=-2(x+2)
9. Solve a simple equation of the form x/2=3 by inspection, including some
negative answers
10. Mixed examples from Tasks 1 to 8, all positive answers
11. Mixed examples from Tasks 1 to
8, some negative answers
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Topic 7 - Algebraic Modelling
Target 1 Target 2 Target 3 Target 4 Target 5
Use algebraic modelling to solve a single-stage problem
Use algebraic modelling to solve a 2-stage problem
Use algebraic modelling to solve a 2-stage problem
Use algebraic modelling to solve a 3-stage problem including the use of
brackets
Use algebraic modelling to solve a 3-stage problem including the use of
brackets
1. Demo: Use algebraic modelling to solve a single-stage ‘I think of a
number problem’
1. Demo: Using algebraic modelling to solve a 2-stage problem
1. Demo: Use algebraic modelling to solve a 2-stage ‘I think of a number
problem’
1. Demo: Use algebraic modelling to solve a 3-stage ‘I think of a number
problem’
1. Demo: Use algebraic modelling to solve a 3-stage ‘I think of a number
problem’
2. Use algebraic modelling to solve a
single-stage ‘I think of a number problem’: adding and subtracting
2. Use algebraic modelling to solve a
2-stage problem: money in 5p steps
2. Use algebraic modelling to solve a
2-stage ‘I think of a number problem’
2. Use algebraic modelling to solve a
3-stage ‘I think of a number problem’: mostly positive coefficients
2. Use algebraic modelling to solve a
3-stage ‘I think of a number problem’: mostly positive coefficients
3. Use algebraic modelling to solve a
single-stage ‘I think of a number
problem’: multiplying and dividing
3. Use algebraic modelling to solve a
2-stage problem: money in 1p steps
3. Use algebraic modelling to solve a
2-stage ‘I think of a number problem’:
more negatives involved
3. Use algebraic modelling to solve a
3-stage ‘I think of a number problem’:
some negative coefficients
3. Use algebraic modelling to solve a
3-stage ‘I think of a number problem’:
some negative coefficients
4. Use algebraic modelling to solve a
single-stage ‘I think of a number
problem’
4. Use algebraic modelling to solve a
2-stage age problem
4. Use algebraic modelling to solve a
consecutive number problem
4. Use algebraic modelling to solve
mixed ‘I think of a number problem’
problems
5. Use algebraic modelling to solve a single-stage ‘I think of a number
problem’
5. Solve mixed problems through algebraic modelling
5. Use algebraic modelling to solve a consecutive number problem
6. Use algebraic modelling to solve miscellaneous angle problems
7. Use algebraic modelling to solve
miscellaneous age problems
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Topic 8 - Substitution
Target 1 Target 2 Target 3 Target 4
Revise the order of operations
Find the value of an expression by
substitution; non-negative values
Find the value of an expression by
substitution; non-negative values
Find the value of an expression by
substitution; some negative values
Find the value of an expression by
substitution; extension
1. Complete calculations using the correct order of operations: revision
1. Demo: find the value of an expression by substitution: brackets
and ‘of’
1. Demo: find the value of an expression by substitution with some
negative values
1. Find the value of an expression by substitution: 1 or 2 negative values
out of 4: extension
2. Complete calculations using the
correct order of operations: revision
2. Find the value of an expression by
substitution: positive values: brackets
and ‘of’
2. Find the value of an expression by
substitution: 1 negative value: simple
positive operations
2. Find the value of an expression by
substitution: 2 or 3 negative values
out of 4: extension
3. Demo: find the value of an
expression by substitution
3. Find the value of an expression by
substitution: non-negative values
3. Find the value of an expression by
substitution: 2 negative values: more
complex operations
3. Find the value of an expression by
substitution: 2 or 3 negative values
out of 4: extension
4. Find the value of an expression by
substitution: positive values: simple
positive operations
4. Find the value of an expression by
substitution: non-negative values:
extension
4. Find the value of an expression by
substitution: 1 or 2 negative values:
brackets and ‘of’
5. Find the value of an expression by
substitution: positive values: more
complex positive and negative
operations
5. Find the value of an expression by
substitution: 1 or 2 negative values
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Topic 9 - Formulae
Target 1 Target 2 Target 3 Target 4 Target 5
Substitute into formulae; convert between Fahrenheit and Celsius;
recognise common formulae
Use a formula in reverse given the
subject
Use a formula in reverse given the
subject
Solve a problem using a formula Solve a problem using a formula
Construct a formula from given
information
1. Demo: Substitute into a formula 1. Demo: Use a formula in reverse given the value of the subject
1. Substitute into a formula and use a formula in reverse
1. Solve a problem using a formula 1. Solve a problem using a complex formula
2. Substitute into a formula 2. Substitute into a formula and use a
formula in reverse: whole positive
values
2. Substitute into a formula and use a
formula in reverse: integer values
2. Solve a problem using a formula 2. Solve a problem using a complex
formula
3. Substitute into a formula 3. Substitute into a formula and use a
formula in reverse
3. Substitute into a formula and use a
formula in reverse
3. Solve a problem using a formula 3. Solve a problem using a complex
formula
4. Convert from Fahrenheit to Celsius 4. Convert between Fahrenheit and
Celsius
4. Substitute into a formula and use a
formula in reverse
4. Solve a problem using a formula 4. Solve a problem using a complex
formula
5. Convert from Celsius to Fahrenheit 5. Convert between Celsius and
Fahrenheit
5. Substitute into a formula and use a
formula in reverse: extension
5. Solve a problem using a formula 5. Solve a problem using a complex
formula
6. Recognise common formulae 6. Construct a formula from given
information; 1 variable in formula
7. Recognise common formulae 7. Construct a formula from given
information; formula consists of just
variables
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Topic 10 - Problem Solving Theory
Target 1 Target 2 Target 3 Target 4
Identify the features of a problem
versus a straightforward question
Identify the abilities and qualities
required to solve a problem
Understand the 4-stage problem
solving process
Be aware of some useful problem
solving strategies
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Topic 11 - Spotting Patterns
Target 1 Target 2 Target 3 Target 4 Target 5
Copy a shape pattern Complete missing elements in a
pattern or sequence of objects
Extend a sequence of shapes and
extract information to form a simple number sequence
Extend a sequence of shapes or a line
pattern Extend a sequence of shapes
1. Copy a pattern of triangles 1. Complete missing squares on a
pattern of squares
1. Extend a sequence of shapes and
form a number sequence
1. Extend a set of three identical
shapes
1. Extend a sequence of shapes
2. Copy a pattern of triangles 2. Complete missing elements in a
pattern of triangles
2. Extend a sequence of shapes and
form a number sequence
2. Extend a line pattern by selecting
line segments
2. Extend a sequence of shapes
3. Copy a pattern on a triangular grid 3. Complete missing elements of a circular pattern with 2 distinct
elements
3. Extend a sequence of shapes and
form a number sequence
3. Extend a line pattern by selecting
line segments
3. Extend a sequence of shapes
4. Copy a pattern on a triangular grid 4. Complete missing elements of a circular pattern with 2 distinct
elements
4. Extend a sequence of shapes and
form a number sequence
4. Extend a line pattern by selecting
line segments
4. Extend a sequence of shapes
5. Copy a pattern on a triangular grid 5. Complete missing elements of a circular pattern with 2 distinct
elements
5. Extend a sequence of shapes and
form a number sequence
5. Extend a line pattern by selecting
line segments
5. Extend a sequence of shapes
6. Copy a pattern on a triangular grid 6. Complete missing elements of a
circular pattern with 2 distinct
elements
6. Extend a sequence of shapes and
form a number sequence
6. Extend a sequence of shapes
7. Copy a pattern on a triangular grid 7. Complete missing elements of a circular pattern with 3 distinct
elements
7. Extend a sequence of shapes and
form a number sequence
7. Extend a sequence of shapes
8. Complete missing elements of a
circular pattern with 3 distinct
elements
8. Extend a sequence of shapes and
form a number sequence
8. Extend a sequence of shapes
9. Complete missing elements of a circular pattern with 3 distinct
elements
9. Extend a sequence of shapes and
form a number sequence
9. Extend a sequence of shapes
10. Complete missing elements of a
circular pattern with 3 distinct
elements
10. Extend a sequence of shapes and
form a number sequence
10. Extend a sequence of shapes
11. Extend a sequence of shapes and
form a number sequence
11. Extend a sequence of shapes
12. Extend a sequence of shapes and
form a number sequence
12. Extend a sequence of shapes
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Topic 12 - Problems & Puzzles 1
Target 1 Target 2 Target 3 Target 4 Target 5
Solve a space-filling problem:
Pentominoes
Solve a matchstick puzzle Play Solitaire Play Lights Out
Solve an anagram-style number
puzzle
Play Noughts & Crosses Solve the frog puzzle
Solve the Queens problem
Play 4-in-a-Row
Solve a logic problem: Guess the Pegs
1. Solve a pentomino problem on a 3
x 10 board
1. Solve a matchstick puzzle 1. Solve the Solitaire puzzle 1. Play Noughts & Crosses with a
partner or against the computer
1. Solve a peg colour problem: 3 pegs
& 6 colours
2. Solve a pentomino problem on a 3
x 10 board
2. Solve a matchstick puzzle 2. Play lights out 3x3 2. Solve the frog puzzle with 3 frogs
each side
2. Solve a peg colour problem: 3 pegs
& 8 colours
3. Solve the pentomino problem on a
3 x 10 board
3. Solve a matchstick puzzle 3. Play lights out 4x4 3. Solve the frog puzzle with 4 frogs
each side
3. Solve a peg colour problem: 4 pegs
& 6 colours
4. Solve the pentomino problem on a
3 x 10 board
4. Solve a matchstick puzzle 4. Play lights out 5x5 4. Solve the frog puzzle with 5 frogs
each side
4. Solve a peg colour problem: 4 pegs
& 8 colours
5. Solve the pentomino problem on a
3 x 10 board
5. Solve a matchstick puzzle 5. Play lights out 6x6 5. Solve the frog puzzle with from 1 to
5 frogs each side
5. Solve a peg colour problem: 5 pegs
& 4 colours
6. Solve a pentomino problem on a 3
x 10 board
6. Solve a matchstick puzzle 6. Play lights out 7x7 6. Solve the ‘Queens’ chess puzzle
4x4
6. Solve a peg colour problem: 5 pegs
& 6 colours
7. Solve the pentomino problem on a
3 x 10 board
7. Solve a matchstick puzzle 7. Speed Response: Solve an anagram-style number puzzle: 4
Letters
7. Solve the ‘Queens’ chess puzzle
5x5
7. Solve a peg colour problem: 5 pegs
& 8 colours
8. Solve the pentomino problem on a
3 x 10 board
8. Solve a matchstick puzzle 8. Speed Response: Solve an
anagram-style number puzzle: 5
Letters
8. Solve the ‘Queens’ chess puzzle
6x6
8. Solve a peg colour problem: 6 pegs
& 4 colours
9. Solve the pentomino problem on a
3 x 10 board
9. Solve a matchstick puzzle 9. Speed Response: Solve an anagram-style number puzzle: 6
Letters
9. Solve the ‘Queens’ chess puzzle
7x7
10. Solve the pentomino problem on a
3 x 10 board
10. Solve a matchstick puzzle 10. Solve the ‘Queens’ chess puzzle
8x8
11. Play 4-in-a-Row with a partner.
One go each
12. Play 4-in-a-Row with a partner. First person has one go, then 2 goes
each
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Topic 13 - Language Tasks & Quizzes 1
Target 1 Target 2 Target 3 Target 4 Target 5
Engage with Maths language by
matching terms to their descriptions
Engage with Maths language through
wordsearch puzzles
Engage with Maths language through
crossword puzzles
Engage with Maths language by
completing sentences
Engage with basic problem solving
theory
Engage with Maths language through
Hangman
Quizzes: Mixed questions on Topics 1
to 12; Differentiated from 1 to 7
1. Match terms to their descriptions 1. Complete a wordsearch 1. Complete a crossword 1. Enter missing words in sentences 1. Quiz: Mixed questions from Topics
1 to 12
2. Match terms to their definitions 2. Complete a wordsearch 2. Complete a crossword 2. Enter missing words in sentences 2. Quiz: Mixed questions from Topics
1 to 12
3. Match terms to their definitions 3. Complete a wordsearch 3. Complete a crossword 3. Enter missing words in sentences 3. Quiz: Mixed questions from Topics
1 to 12
4. Match terms to their definitions 4. Complete a wordsearch 4. Complete a crossword 4. Enter missing words in sentences 4. Quiz: Mixed questions from Topics
1 to 12
5. Match terms to their definitions 5. Complete a wordsearch 5. Complete a crossword 5. Enter missing words in sentences 5. Quiz: Mixed questions from Topics
1 to 12
6. Match terms to their definitions 6. Enter missing words in sentences 6. Quiz: Mixed questions from Topics
1 to 12
7. Match terms to their definitions 7. Enter missing words in sentences 7. Quiz: Mixed questions from Topics
1 to 12
8. Match terms to their definitions 8. Enter missing words in sentences
9. Match terms to their definitions 9. Enter missing words in sentences
10. Match terms to their definitions
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Topic 14 - Sequences 1
Target 1 Target 2 Target 3 Target 4 Target 5
Enter missing terms in a sequence
with a common difference
Enter missing terms in a sequence
with a common difference
Enter missing terms in a sequence with next term rule of the form: Un+1=
3Un+1, 3(Un+1), Un/3+1, (Un+1)/3
Enter missing terms in a sequence with a miscellaneous next term rule,
including a Fibonacci sequence
Enter missing terms in a sequence with a miscellaneous next term rule,
including a Fibonacci sequence
1. Add the next two terms to an
increasing sequence of non-negative
integers with a common difference
1. Add the next two terms to an
decreasing sequence of integers with
a common difference
1. Complete a sequence given the
next term rule of the form Un+1=
3Un+1, 3(Un+1), Un/3+1, (Un+1)/3
1. Complete a sequence given a term
and next term rule: miscellaneous
1. Add a missing term to a sequence
of integers
2. Add missing terms to an increasing
sequence of non-negative integers
with a common difference
2. Add missing terms to a decreasing
sequence of integers with a common
difference
2. Complete a sequence given the
next term rule of the form Un+1= 3Un-
1, 3(Un-1), Un/3-1, (Un-1)/3
2. Complete a sequence given the first
1 or 2 terms and next term rule:
miscellaneous
2. Add a missing term to a sequence
of integers
3. Add the next two terms to an increasing sequence of integers with a
common difference
3. Add the next two terms to an increasing or decreasing sequence of
integers with a common difference
3. Complete a sequence given the next term rule of the form Un+1=
3Un+1, 3(Un+1), Un/3+1, (Un+1)/3
3. Complete a sequence given 1 or 2 terms and next term rule:
miscellaneous
3. Add a missing term to a Fibonacci
style sequence of integers
4. Add missing terms to an increasing sequence of integers with a common
difference
4. Add missing terms to an increasing or decreasing sequence of integers
with a common difference
4. Summary task of tasks 1 and 2
with given term in any position
4. Complete a sequence given 1 or 2 terms and next term rule:
miscellaneous Fibonacci sequences
4. Add a missing term to a sequence
5. Add missing terms to an increasing or decreasing sequence of decimal
numbers with a common difference
5. Add the next term to a sequence of
integers: positive multiplier/divisor
5. Complete a sequence given 1 or 2
terms and a description
5. Add a missing term to a sequence
of Roman Numerals
6. Solve a problem involving a
sequence with a common difference
6. Add a missing term to a sequence
of integers: positive multiplier/divisor
6. Complete a sequence given 1 or 2
terms and a description: the alphabet
6. Add a missing term to a sequence
of Roman Numerals
7. Add the next term to a sequence of
integers: negative multiplier/divisor
8. Add a missing term to a sequence
of integers: negative multiplier/divisor
9. Summary task of Tasks 6 and 8
10. Solve a problem involving a
sequence given the next term rule
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Topic 15 - Sequences 2
Target 1 Target 2 Target 3 Target 4 Target 5
Use the nth term rule to generate a
sequence
Identify the nth term rule of a
sequence with a common difference
Use the nth term rule to generate a
sequence
Identify the nth term rule of a
quadratic sequence using differences
Identify the nth term rule of a
quadratic sequence using differences
1. Demo: Use the nth term rule to
generate a sequence with a common
difference
1. Demo: Identify the nth term in a
simple sequence with a common
difference
1. Use the nth term rule to generate a
quadratic sequence
1. Demo: Identify the nth term in a
quadratic sequence of the form Un+1=
Un=3n2+2 using differences
1. Demo: Identify the nth term in a
quadratic sequence of the form
Un=3n2+2n+2 using differences
2. Use the nth term rule to generate a
sequence with a common difference
2. Identify the nth term in a simple
sequence with a common difference
2. Use the nth term rule to generate a
quadratic sequence
2. Identify the nth term in a quadratic
sequence of the form Un=3n2+2
2. Identify the nth term in a quadratic
sequence of the form Un=3n2+2n+2
3. Use the nth term rule to generate a
simple sequence
3. Identify the nth term in a simple
sequence with a common difference
3. Use the nth term rule to generate a
quadratic sequence
3. Identify the nth term in a quadratic
sequence of the form Un=3n2+2 and
use it to calculate a specific term
3. Identify the nth term in a quadratic
sequence of the form Un=3n2+2n+2
4. Use the nth term rule to generate a
simple sequence
4. Identify the nth term in a simple
sequence with a common difference
4. Use the nth term rule to generate a
quadratic or cubic sequence
4. Identify the nth in a quadratic sequence of the form Un=3n2+2n+2
and use it to calculate a specific term
5. Use the nth term rule to calculate a
single term in a sequence
5. Identify the nth term in a simple
sequence with a common difference
5. Use the nth term rule to generate a
quadratic or cubic sequence
5. Identify the nth in a quadratic sequence of the form Un=3n2+2n+2
and use it to calculate a specific term
6. Use the nth term rule to calculate a
single term in a sequence
6. Identify the nth term and use it to
calculate a specific term
7. Identify the nth term and use it to
calculate a specific term
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Topic 16 - Solving Equations 2
Target 1 Target 2 Target 3 Target 4 Target 5
Solve an equation with up to 1
bracket on each side
Solve an equation with up to 3
brackets on each side
Solve an equation with fractions Solve a problem using algebraic
modelling
Find an approximate solution to an
equation by trial and improvement
1. Complete the solution to an
equation of the form 4x+1=2x+9
1. Solve an equation of the form
4(x-1)+3=2(x+2)
1. Demo: Solve an equation with a
fraction by multiplying both sides by
the denominator
1. Solve a problem using an equation 1. Demo: Find an approximate
solution to an equation by trial and
improvement (1.d.p.)
2. Solve an equation of the form
4x+1=-2x-9
2. Solve an equation of the form
3-4(x-1)=2(x+2)
2. Complete the solution to an
equation of the form x/2+1=7
2. Solve a problem using an equation 2. Find an approximate solution to an
equation by trial and improvement
(1.d.p.)
3. Using an equation to solve a problem.
3. Solve an equation of the form 3-4(2x-1)=2(5x+2)
3. Complete the solution to an equation of the form x/2-1=7
3. Solve a problem using an equation 3. Demo: Find an approximate solution to a more complex equation
by trial and improvement (1.d.p.)
4. Solve a simple equation of the form 2(x+1)=8, 2(x-1)=-5
4. Solve an equation of the form 4(x-1)+3x=2(x+2)
4. Solve an equation of the form x/2+3=10, x/2-3=9
4. Solve a problem using an equation 4. Find an approximate solution to an equation by trial and improvement
(1.d.p.)
5. Solve a simple equation of the form
-2(x+1)=8, -(x-1)=5
5. Solve an equation of the form
4(x-1)+3x=2(x+2)+3
5. Complete the solution to a equation
of the form (x+-1)/2=7, ½(x+-2)=8 5. Solve a problem using an equation 5. Demo: Find an approximate
solution to an equation by trial and improvement (2.d.p.)
6. Complete the solution to an
equation of the form 4(x+1)=2(x+3)
6. Solve an equation of the form
2(x-2)+3x-3(x-2)=3(x+1)-4(x-1)+4
6. Demo: Solve an equation with a
fraction by multiplying throughout by
the denominator
6. Solve a problem using an equation 6. Find an approximate solution to an
equation by trial and improvement
(2.d.p.)
7. Complete the solution to an
equation of the form 4(x-1)=2(x+3)
7. Solve an equation of the form
2(x-2)+3(4-x)+3(x-2)=3(x+1)+4(x-
1)+4
7. Solve an equation of the form
(x+-1)/2+1=7, ½(x+-2)+x=8 7. Solve a problem using an equation 7. Solve a problem by trial and
improvement
8. Complete the solution to an equation of the form -4(x-1)=2(x-3)
8. Speed Response: Solve equations of the form 2(x-2)+3(4-x)+3(x-
2)=3(x+1)+4(x-1)+4
8. Solve an equation of the form (x+-1)/x+1=x+1 ½(x+2)+x=2-3
8. Solve a problem using an equation 8. Solve a problem by trial and improvement
9. Solve an equation of the form 4(x-1)=2(x-2)
9. Demo: Solve an equation with fractions by multiplying throughout by
the LCM of the denominators
9. Solve a problem using an equation
10. Solve an equation of the form -4(x-1)=-2(x+2)
10. Solve an equation with up to 2 different denominators
10. Solve a problem using an equation
11. Solve an equation with up to 3
different denominators 11. Solve a problem using an equation
12. Solve a problem using an equation
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Topic 17 - Straight Lines 1
Target 1 Target 2 Target 3 Target 4 Target 5
Read and plot coordinates in all 4
quadrants
Plot coordinates in all 4 quadrants Draw a straight line by calculating and
plotting points
Calculate the gradient of a straight
line between two points
Calculate the equation of a straight
line by calculating the gradient and identifying the y-intercept
Know y=mx+c
1. Read coordinates in all 4 quadrants 1. Coordinates Puzzle: Plot the points
and guess the shape
1. Draw a vertical or horizontal
straight line given the equation
1. Demo: Calculate the gradient of a
straight line between 2 points
1. Identify the equation of a vertical
or horizontal straight line
2. Speed Response: Read coordinates
in all 4 quadrants
2. Coordinates Puzzle: Plot the points
and guess the shape
2. Demo: Draw a straight line by
calculating 3 points
2. Calculate the gradient of a straight
line between 2 given points
2. Demo: Calculate the equation of a
straight line in the form y = mx+c
3. Plot coordinates in all 4 quadrants 3. Coordinates Puzzle: Plot the points
and guess the shape
3. Draw a straight line by calculating
and plotting points, e.g. y = 2x-2
3. Calculate the gradient of a straight
line between 2 points on a grid
3. Identify the equation of a straight
line given the gradient and y-intercept
4. Speed Response: Plot coordinates
in all 4 quadrants
4. Coordinates Puzzle: Plot the points
and guess the shape
4. Draw a straight line by calculating
and plotting points, e.g. y+3x = 2
4. Demo: Summary of positive,
negative, zero and undefined gradient
4. Calculate the equation of a straight
line of the form y = 3x, y= 2/3x
5. Coordinates Puzzle: Plot the points
and guess the shape
5. Coordinates Puzzle: Plot the points
and guess the shape
5. Draw a straight line by calculating
and plotting points, e.g. 2y-3x = 12
5. Solve a problem involving gradients 5. Calculate the equation of a straight
line of the form y = 3x, y= 2/3x
6. Coordinates Puzzle: Plot the points
and guess the shape
6. Coordinates Puzzle: Plot the points
and guess the shape
6. Solve a problem involving gradients 6. Calculate the equation of a straight
line of the form y = 3x+1
7. Coordinates Puzzle: Plot the points
and guess the shape
7. Coordinates Puzzle: Plot the points
and guess the shape
7. Calculate the equation of a straight
line of the form y = 3x/2+1
8. Match a sketch of a graph with its
equation
9. Match a sketch of a graph with its
equation
10. Match a sketch of a graph with its
equation
11. Match a sketch of a graph with its
equation
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Topic 18 - Straight Lines 2
Target 1 Target 2 Target 3 Target 4 Target 5
Calculate the equation of a straight
line
Rearrange an equation to the form
y=mx+c to find the gradient and intercept
Find the midpoint between 2 points
the length of a line segment
Calculate the length of a line segment Solve problems with parallel and
perpendicular lines
1. Demo: Calculate the equation of a straight line given 1 point and the
gradient
1. Demo: Rearrange an equation to the form y=mx+c to find the gradient
and y-intercept
1. Demo: Find the midpoint between 2 points
1. Demo: Find the length of a line segment
1. Demo: Find the equation of a line which is parallel to another
2. Calculate the equation of a straight
line given 1 point and the gradient
(integer gradient)
2. Rearrange an equation to the form
y=mx+c to find the gradient and y-
intercept (y positive)
2. Find the midpoint between 2
points.
2. Find the length of a line segment 2. Find the equation of a line which is
parallel to another
3. Calculate the equation of a straight
line given 1 point and the gradient
(fractional gradient)
3. Rearrange an equation to the form
y=mx+c to find the gradient and y-
intercept
3. Find the midpoint between 2
points.
3. Find the length of a line segment 3. Demo: Find the equation of a line
which is perpendicular to another
using m1m2 = -1
4. Demo: Calculate the equation of a
straight line given 2 points
4. Solve a problem with midpoint 4. Solve a problem with the length of
a line segment
4. Speed response: Identify a gradient
and its corresponding perpendicular
gradient
5. Calculate the equation of a straight
line given 2 points (integer gradient)
5. Find the equation of a line which is
perpendicular to another
6. Calculate the equation of a straight
line given 2 points (fractional
gradient)
7. Calculate the equation of any
straight line from a graph
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Topic 19 - Simultaneous Equations
Target 1 Target 2 Target 3 Target 4 Target 5
Solve a pair of simultaneous
equations graphically
Solve a pair of simultaneous
equations by elimination: adding or subtracting leads directly to solution
Solve a pair of simultaneous
equations by elimination: multiply one equation
Solve a pair of simultaneous
equations by elimination: multiply both equations
Solve a pair of simultaneous
equations by substitution
Solve a pair of simultaneous
equations: 1 linear; 1 quadratic
1. Demo: Solve a pair of simultaneous
equations graphically
1. Demo: Solve a pair of simultaneous
equations by elimination
1. Demo: Solve a pair of simultaneous
equations by elimination
1. Demo: Solve a pair of simultaneous
equations by elimination
1. Demo: Solve a pair of simultaneous
equations by substitution
2. Solve a pair of simultaneous
equations graphically
2. Solve a pair of simultaneous
equations by elimination
2. Solve a pair of simultaneous
equations by elimination
2. Solve a pair of simultaneous
equations by elimination
2. Solve a pair of simultaneous
equations by substitution
3. Solve a pair of simultaneous
equations graphically
3. Solve a pair of simultaneous
equations by elimination
3. Solve a pair of simultaneous
equations by elimination
3. Solve a pair of simultaneous
equations by elimination
3. Solve a pair of simultaneous
equations by substitution
4. Solve a pair of simultaneous
equations graphically
4. Solve a pair of simultaneous
equations by elimination
4. Solve a pair of simultaneous
equations by elimination
4. Solve a pair of simultaneous
equations by elimination
4. Solve a pair of simultaneous
equations by substitution
5. Solve a pair of simultaneous
equations graphically
5. Demo: Solve a problem with
simultaneous equations
5. Demo: Solve a problem with
simultaneous equations
5. Demo: Solve a problem with
simultaneous equations
5. Demo: Solve a pair of simultaneous
equations by substitution: 1 linear; 1
quadratic
6. Solve a pair of simultaneous
equations graphically
6. Solve a problem with simultaneous
equations
6. Solve a problem with simultaneous
equations
6. Solve a problem with simultaneous
equations
6. Solve a pair of simultaneous
equations by substitution: 1 linear; 1
quadratic
7. Solve a pair of simultaneous
equations graphically
7. Solve a problem with simultaneous
equations
7. Solve a problem with simultaneous
equations
7. Solve a problem with simultaneous
equations
7. Solve a pair of simultaneous
equations by substitution: 1 linear; 1
quadratic
8. Solve a pair of simultaneous
equations graphically
8. Solve a problem with simultaneous
equations
8. Solve a problem with simultaneous
equations
8. Solve a problem with simultaneous
equations
8. Solve a pair of simultaneous
equations by substitution: 1 linear; 1
quadratic
9. Solve a pair of simultaneous
equations graphically
9. Demo: Solve further problems with
simultaneous equations
9. Solve a pair of simultaneous
equations by substitution: 1 linear; 1 quadratic
10. Solve a pair of simultaneous
equations graphically
10. Solve a problem with
simultaneous equations
10. Find the points of intersection of a
straight line and a quadratic
11. Solve a problem with
simultaneous equations
11. Find the points of intersection of a
straight line and a quadratic
Maths Workout - Algebra & Problem Solving
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Topic 20 - Changing the Subject of a Formula
Target 1 Target 2 Target 3 Target 4 Target 5
Change the subject of a formula: 1 or
more operations required
Change the subject of a formula: 2 or
more operations required
Change the subject of a formula: 3 or
more operations required
Change the subject of a formula
involving squares and square roots
Change the subject of a formula: 3 or
more operations required including factorisation
1. Change the subject of a formula of the form a+b=c, new subject positive
in original formula
1. Mixed exercises on Target 1:
extension
1. Demo: Change the subject of a formula of the form a=3(b+c),
a=b/c(x+d)
1. Demo: Change the subject of a formula involving squares and square
roots
1. Demo: Change the subject of a formula of the form 3(y+2)=4(x-1),
y+b=x+ax
2. Change the subject of a formula of the form a+b=c, ab+c=d, new
subject positive in original formula
2. Mixed exercises on Target 1:
extension
2. Change the subject of a formula of
the form a=3(b+-c)
2. Change the subject of a formula
involving squares and square roots
2. Change the subject of a formula of
the form 3(y+2)=4(x-1), y+b=x+ax
3. Change the subject of a formula of
the form a-b=c, ab+c=d
3. Demo: Change the subject of a
formula of the form c=ut+d, c=a/b+f
3. Change the subject of a formula of
the form c=f/g(u+-v)
3. Change the subject of a formula
involving squares and square roots
3. Change the subject of a formula of
the form 3(y+2)=4(x-1), y+b=x+ax
4. Mixed exercises from Task 1 to 3
with coefficients
4. Change the subject of a formula of
the form c=ut+d
4. Mixed exercises on tasks 2-3 4. Change the subject of a formula
involving squares and square roots
4. Change the subject of a formula:
miscellaneous examples
5. Change the subject of a formula of the form A=bh, d=cde, new subject
positive in original formula
5. Change the subject of a formula of
the form c=a/b+-f
5. Demo: Change the subject of a formula of the form c=a/b+f,
a=(2x+y2)/3
5. Change the subject of a formula
involving squares and square roots
5. Change the subject of a formula:
miscellaneous examples
6. Change the subject of a formula of
the form A=bh, d=-4cde
6. Mixed exercises from Tasks 4 and 5
with coefficients
6. Change the subject of a formula of
the form c=a/b+f, a=(2x+y2)/3
7. Change the subject of a formula of the form R=V/I, new subject positive
in original formula
7. Mixed exercises from Tasks 4 and 5
with coefficients
7. Mixed examples of changing the
subject of a formula
8. Change the subject of a formula of
the form R=V/I
Maths Workout - Algebra & Problem Solving
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Topic 21 - Quadratics 1
Target 1 Target 2 Target 3 Target 4 Target 5
Draw a quadratic by calculating and
plotting points
Draw a quadratic by calculating and
plotting points
Identify the intersection points of a
quadratic and a straight line
Identify the intersection points of a
quadratic and a straight line
Multiply out a factorised quadratic
expression
1. Calculate points, plot the points and draw a quadratic
1. Calculate points, plot the points and draw a quadratic
1. Draw a quadratic and identify the points of intersection with the x-axis
1. Draw a quadratic and a horizontal straight line and identify the points of
intersection
1. Multiply out a factorised quadratic expression: no constant term in the
expanded expression: with assistance
2. Calculate points, plot the points and draw a quadratic
2. Calculate points, plot the points and draw a quadratic
2. Draw a quadratic and identify the points of intersection with the x-axis
2. Draw a quadratic and a straight line and identify the points of intersection
2. Multiply out a factorised quadratic expression: 2 terms
3. Calculate points, plot the points
and draw a quadratic
3. Calculate points, plot the points
and draw a quadratic
3. Draw a quadratic and identify the
points of intersection with the x-axis
3. Draw a quadratic and a straight line
and identify the points of intersection
3. Multiply out a factorised quadratic
expression: 2 terms
4. Calculate points, plot the points
and draw a quadratic
4. Calculate points, plot the points
and draw a quadratic
4. Draw a quadratic and a horizontal
straight line and identify the points of
intersection
4. Draw a quadratic and a straight line
and identify the points of intersection
4. Demo: Multiply out and simplify a
factorised quadratic expression: 3
terms in the expanded form
5. Calculate points, plot the points and draw a quadratic
5. Calculate points, plot the points and draw a quadratic
5. Draw a quadratic and a horizontal straight line and identify the points of
intersection
5. Draw a quadratic and a straight line and identify the points of intersection
5. Multiply out a factorised quadratic expression: 3 terms: unit x2
coefficient
6. Calculate points, plot the points and draw a quadratic
6. Calculate points, plot the points and draw a quadratic
6. Multiply out a factorised quadratic expression: 3 terms: unit x2
coefficient
7. Calculate points, plot the points and draw a quadratic
7. Calculate points, plot the points and draw a quadratic
7. Multiply out a factorised quadratic expression: 3 terms: non-unit x2
coefficient
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Topic 22 - Quadratics 2
Target 1 Target 2 Target 3 Target 4 Target 5
Factorise a quadratic expression
Solve a quadratic equation
Multiply out and factorise using the difference of 2 squares
Solve a quadratic equation by
rearranging and factorising
Solve problems involving quadratics
Solve a quadratic equation with non-
unit x2 coefficient
Solve a quadratic equation by
completing the square
Solve a quadratic equation using the
quadratic formula
Solve further problems
1. Factorise a quadratic expression: 2
terms: unit x2 coefficient
1. Demo: Solve a quadratic equation
by factorising: unit x2 coefficient
1. Demo: Solve a quadratic equation
by rearranging and factorising
1. Demo: Complete the square for a
quadratic expression: even x
coefficient
1. Demo: Solve a quadratic equation
by using the quadratic formula
2. Factorise a quadratic expression: 2
terms: non-unit x2 coefficient
2. Solve a quadratic equation by
factorising: unit x2 coefficient
2. Solve a quadratic equation by
rearranging and factorising
2. Complete the square for a
quadratic expression: even x
coefficient
2. Solve a quadratic equation by using
the quadratic formula
3. Demo: Factorise a quadratic expression: 3 terms: unit x2
coefficient
3. Solve a quadratic equation by factorising: unit x2 coefficient
3. Solve a quadratic equation by rearranging and factorising
3. Demo: Complete the square for a quadratic expression: odd x coefficient
3. Solve mixed problems involving quadratic equations
4. Factorise a quadratic expression: 3 terms: unit x2 coefficient
4. Demo: Solve a quadratic equation with two parts by factorising
4. Solve mixed problems using quadratic equations
4. Complete the square for a quadratic expression: odd x coefficient
4. Solve mixed problems involving quadratic equations
5. Factorise a quadratic expression: 3
terms: unit x2 coefficient
5. Solve a quadratic equation with two
parts by factorising
5. Solve mixed problems using
quadratic equations
5. Demo: Solve a quadratic equation
by completing the square
6. Demo: Factorise a quadratic
expression with three terms: non-unit
x2 coefficient
6. Demo: Multiply out and factorise a
quadratic expression in the form of a
difference of two squares
6. Solve gradient problems involving
quadratics
6. Solve a quadratic equation by
completing the square
7. Factorise a quadratic expression: non-unit x2 coefficient
7. Multiply out a factorised quadratic expression in the form of a difference
of two squares
7. Demo: Solve a quadratic equation by factorisation: non-unit x2
coefficient
7. Demo: Solve a quadratic equation by completing the square: non-unit x2
coefficient
8. Factorise a quadratic expression in the form of a difference of two
squares
8. Solve a quadratic equation by factorisation: non-unit x2
8. Solve a quadratic equation by completing the square: non-unit x2
coefficient
9. Factorise a quadratic expression in
the form of a difference of two squares: extension
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Topic 23 - Indices 2
Target 1 Target 2 Target 3 Target 4 Target 5
Know and apply the rules of indices to
numerical expressions
Know and apply the rules of indices to
algebraic expressions
Know and apply the rules of indices to
numerical and algebraic expressions
Convert between fractional indices
and surds, and evaluate expressions
Solve equations involving indices
Evaluate and simplify expressions in
index form
Solve equations involving indices
1. Write a numerical or algebraic expression in index form 3x3x3x3=34;
txtxt=t3
1. Simplify an expression in index form: 3a2 x 6a3=18a5
1. Simplify an expression in index form and evaluate: 9a2x4b3xa4
1. Express surd form as positive fractional index form
1. Complete missing elements when evaluating expressions in index form
2. Evaluate an expression in index
form: 43=64
2. Speed response: Identify an
expression in index form and its
matching simplified form
2. Simplify an expression in index
form and evaluate: 92x93/94 = 9
2. Express positive fractional index
form as a surd
2. Evaluate a numerical expression
with fractional indices
3. Speed response: Identify a value
and its matching index form
3. Simplify an expression in index
form and evaluate: 32/33=3-1=1/3
3. Simplify an algebraic expression in
index form: 6k2 x 3k3/2k = 9k4
3. Express positive fractional index
form as a surd and evaluate
3. Evaluate a unitary fraction raised to
an index
4. Speed response: Identify the
greater of 2 numerical expressions in
index form: 23 > 32
4. Speed response: Identify a division
expression in index form and its
matching expanded form
4. Simplify an algebraic expression in
index form with more than one
variable: 6j2k3 x 3k2/2k = 9 j2k4
4. Express surds in denominators as
negative fractional index form
4. Evaluate a fraction raised to an
index
5. Simplify an algebraic expression
using positive indices: 6k2/2k3 = 3/k
5. Simplify and evaluate an
expression of the form (42)3
5. Express negative fractional index
form as a surd and evaluate
5. Simplify an algebraic expression
containing fractional indices
6. Speed response: Simplify a division
expression: k2/k3 = k-1
6. Simplify an algebraic expression in
index form: (x2)3 = x6,(2x2)4 = 16x8
6. Evaluate expressions in index form 6. Solve equations with whole indices
7. Speed response: (balls) Identify an
expression in index form and its
matching expanded form: (x2)3 = x6
7. Solve equations with fractional
indices
8. Speed Response: True or False:
(x2)3 = x6, (2x2)3 = 8x6
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Topic 24 - Algebraic Fractions
Target 1 Target 2 Target 3 Target 4
Simplify an algebraic fraction Simplify an algebraic fraction Multiply and divide, add and subtract
algebraic fractions
Add and subtract algebraic fractions
1. Complete a set of equivalent
algebraic fractions
1. Demo: Simplify an algebraic
fraction by factorising
1. Demo: Multiply and divide algebraic
fractions
1. Demo: Add and subtract algebraic
fractions
2. Complete a set of equivalent algebraic fractions
2. Simplify an algebraic fraction by factorising: 3x+6/x+2
2. Multiply and divide algebraic fractions: a/5 x 10/a
2. Add and subtract algebraic fractions: a/5 + 10/a
3. Simplify an algebraic fraction: 10a/5
3. Simplify an algebraic fraction by factorising: including quadratics
3. Multiply and divide algebraic fractions: ab2/5 x 10bc/a
3. Add and subtract algebraic fractions: 2a/5 + a/4
4. Simplify an algebraic fraction:
10a2/5b
4. Simplify an algebraic fraction by
factorising: including quadratics
4. Multiply and divide algebraic
fractions: 30ab2/5 x 15bc/a2
4. Add and subtract 3 algebraic
fractions: 2a/5 + a/4 + a/2
5. Simplify an algebraic fraction:
24ba2/16bc2
5. Simplify an algebraic fraction by
factorising: including quadratics
5. Multiply and divide algebraic
fractions: (x-1)/5 x 15/(2x-4)
5. Add and subtract algebraic
fractions: (x-1)/5 + (x+3)/4
6. Simplify an algebraic fraction by
factorising: including quadratics
6. Multiply and divide algebraic
fractions: (x2+2x-1)/x+1 x 10/(x-1)
6. Add and subtract algebraic
fractions: 2(x-1)/5 + (x+3)/x
7. Simplify an algebraic fraction by
factorising: including quadratics
7. Add and subtract algebraic
fractions: 2/(x-1) + 3/(x+3)
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Topic 25 - Inequalities
Target 1 Target 2 Target 3 Target 4
Write and interpret an inequality and
represent it on a number line
Write and interpret a combined
inequality and represent it on a number line
Solve an inequality algebraically Solve an inequality with fractions
algebraically
1. Demo: Know the 4 inequality signs, and the representation of an
inequality on a number line
1. Demo: Understand a combined
inequality
1. Demo: Solve an inequality by
reversing the inequality sign
1. Solve an inequality with fractions
2. Match an inequality phrase with its
algebraic form
2. Match a combined algebraic inequality with its representation on a
number line
2. Demo: Understand the reason behind reversing the inequality sign,
and how to avoid it
2. Solve an inequality with fractions
3. Speed Response: Select the correct inequality symbol for a numerical
comparison
3. Represent a combined inequality on
a number line
3. Solve an inequality
4. Speed Response: Select the correct inequality symbol for a comparison of
quantities
4. Express a combined inequality in
context in algebraic form
4. Solve an inequality
5. Match an algebraic inequality with
its representation on a number line
5. Identify the solution set of integers
defined by a combined inequality
5. Solve an inequality
6. Represent an inequality on a
number line
6. Solve an inequality
7. Identify a particular value defined
by an inequality
7. Speed response: Solve an
inequality
8. Express an inequality in context in
algebraic form
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Topic 26 - Proportion 2
Target 1 Target 2 Target 3 Target 4
Solve a direct proportion question
using a constant of proportionality
Solve a direct proportion question
using a constant of proportionality
Solve an inverse proportion question
using a constant of proportionality
Solve an inverse proportion question
using a constant of proportionality
1. Demo: Use of a constant of
proportionality to solve a direct proportion question
1. Demo: Use of a constant of
proportionality to solve a direct proportion question: yx2, yx3
1. Demo: Use of a constant of
proportionality to solve an inverse proportion question
1. Demo: Use of a constant of
proportionality to solve an inverse proportion question: yx2, yx3
2. Solve a direct proportion question 2. Solve a direct proportion question:
yx2, yx3: whole answers
2. Solve an inverse proportion
question
2. Solve an inverse proportion
question: yx2, yx3
3. Solve a direct proportion question 3. Solve a direct proportion question: yx2, yx3: fractional answers
3. Solve an inverse proportion question
3. Solve an inverse proportion question: yx
4. Solve a direct proportion question:
fractional solution
4. Solve a direct proportion question:
yx
4. Solve an inverse proportion
question: fractional solution
4. Solve a problem involving inverse
proportion
5. Solve a problem involving direct proportion
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Topic 27 - Problems & Puzzles 2
Target 1 Target 2 Target 3 Target 4 Target 5
Solve a spatial puzzle: Gridlock Solve Tile Slide, Towers of Hanoi
Play a sequence memory game
Solve a nonogram puzzle Solve a logic problem based on
sequencing
Solve a logic problem based on
information handling
1. Solve a spatial puzzle: Gridlock 1. Solve a spatial puzzle: Tile Slide
3x3
1. Solve a nonogram puzzle 1. Solve a logic problem 1. Solve a logic problem
2. Solve a spatial puzzle: Gridlock 2. Solve a spatial puzzle: Tile Slide
4x4
2. Solve a nonogram puzzle 2. Solve a logic problem 2. Solve a logic problem
3. Solve a spatial puzzle: Gridlock 3. Solve a spatial puzzle: Tile Slide
5x5
3. Solve a nonogram puzzle 3. Solve a logic problem 3. Solve a logic problem
4. Solve a spatial puzzle: Gridlock 4. Solve the Tower of Hanoi problem:
3 discs
4. Solve a nonogram puzzle 4. Solve a logic problem 4. Solve a logic problem
5. Solve a spatial puzzle: Gridlock 5. Solve the Tower of Hanoi problem:
4 discs
5. Solve a nonogram puzzle 5. Solve a logic problem 5. Solve a logic problem
6. Solve a spatial puzzle: Gridlock 6. Solve the Tower of Hanoi problem:
5 discs
6. Solve a nonogram puzzle 6. Solve a logic problem 6. Solve a logic problem
7. Solve a spatial puzzle: Gridlock 7. Solve the Tower of Hanoi problem:
6 discs
7. Solve a nonogram puzzle 7. Solve a logic problem 7. Solve a logic problem
8. Solve a spatial puzzle: Gridlock 8. Solve the Tower of Hanoi problem:
7 discs
8. Solve a nonogram puzzle 8. Solve a logic problem 8. Solve a logic problem
9. Solve a spatial puzzle: Gridlock 9. Play a sequence memory game 9. Solve a nonogram puzzle 9. Solve a logic problem
10. Solve a spatial puzzle: Gridlock 10. Play a sequence memory game
11. Play a sequence memory game
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Topic 28 - Problems & Puzzles 3 - Coming 2014
Target 1 Target 2 Target 3 Target 4 Target 5
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Topic 29 - Language Tasks & Quizzes 2
Target 1 Target 2 Target 3 Target 4 Target 5
Engage with Maths language by
matching terms to their descriptions
Engage with Maths language through
wordsearch puzzles
Engage with Maths language through
crossword puzzles
Engage with Maths language by
completing sentences
Quizzes: Mixed questions on Topics 14
to 27; Differentiated from 1 to 7
1. Match terms to their descriptions 1. Complete a wordsearch 1. Complete a crossword 1. Enter missing words in sentences 1. Quiz: Mixed questions from Topics
14 to 27
2. Match terms to their definitions 2. Complete a wordsearch 2. Complete a crossword 2. Enter missing words in sentences 2. Quiz: Mixed questions from Topics 14 to 27
3. Match terms to their definitions 3. Complete a wordsearch 3. Complete a crossword 3. Enter missing words in sentences 3. Quiz: Mixed questions from Topics 14 to 27
4. Match terms to their definitions 4. Complete a wordsearch 4. Complete a crossword 4. Enter missing words in sentences 4. Quiz: Mixed questions from Topics
14 to 27
5. Match terms to their definitions 5. Complete a wordsearch 5. Complete a crossword 5. Enter missing words in sentences 5. Quiz: Mixed questions from Topics
14 to 27
6. Match terms to their definitions 6. Complete a wordsearch 6. Complete a crossword 6. Enter missing words in sentences 6. Quiz: Mixed questions from Topics
14 to 27
7. Match terms to their definitions 7. Complete a wordsearch 7. Complete a crossword 7. Enter missing words in sentences 7. Quiz: Mixed questions from Topics
14 to 27
8. Match terms to their definitions 8. Complete a crossword 8. Enter missing words in sentences
9. Match terms to their definitions 9. Enter missing words in sentences
10. Match terms to their definitions 10. Enter missing words in sentences
11. Match terms to their definitions 11. Enter missing words in sentences
12. Match terms to their definitions 12. Enter missing words in sentences
13. Match terms to their definitions
14. Match terms to their definitions
15. Match terms to their definitions
16. Match terms to their definitions