Homework Pack 3 - rafflesis.com · Homework Pack 3 Written by teachers for teachers to support the renewed Primary Framework, Collins New Primary Maths is a whole-school numeracy

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Homework Pack 3Written by teachers for teachers to support the renewedPrimary Framework, Collins New Primary Mathsis a whole-school numeracy programme that buildsand develops all the key skills needed to be successful in mathematics. Homework activities allow practice of the objectives covered in the daily lessons.

Browse the complete CollinsEducation catalogue atwww.collinseducation.com

ISBN 978-0-00-722024-3

9 7 8 0 0 0 7 2 2 0 2 4 3

HomeworkPack 3HomeworkPack 3

Peter ClarkeSeries Editor

Peter ClarkeSeries Editor

Linked to the dailylesson plans An average of one activityevery two weeks

Differentiated activitiesTarget individual learningneeds with activitiesstructured at three levels

Clear instructionsSupport children beyondthe classroom with clearand stimulating activities

HOMEWORK_PACK_yr3_AW 30/11/07 11:09 Page 1

Homework Pack 3

Series Editor: Peter Clarke

Authors: Jeanette Mumford, Sandra Roberts, Andrew Edmondson

CNPM_HCM_3_[01-06] 2/1/08 14:18 Page 1

Published by CollinsAn imprint of HarperCollinsPublishers 77 – 85 Fulham Palace RoadHammersmithLondon W6 8JB

© HarperCollinsPublishers Limited 2008

10 9 8 7 6 5 4 3 2 1

ISBN-978-0-00-722024-3

The authors assert their moral rights to be identified as the authors of this work

Any educational institution that has purchased one copy of this publicationmay make unlimited duplicate copies for use exclusively within thatinstitution. Permission does not extend to reproduction, storage within aretrieval system, or transmittal in any form or by any means, electronic,mechanical, photocopying, recording or otherwise, of duplicate copies forloaning, renting or selling to any other institution without the permission ofthe Publisher.

British Library Cataloguing in Publication DataA Catalogue record for this publication is available from the British Library

Cover design by Laing&CarrollCover artwork by Jonatronix LtdInternal design by Steve Evans and Mark Walker DesignIllustrations by Steve Evans and Mark Walker Edited by Jean RusteanProofread by Ros Davies

Printed and bound by Martins the Printers, Berwick-upon-Tweed

Browse the complete Collins catalogue atwww.collinseducation.com

William Collins’ dream of knowledge for all began with the publication of his first book in 1819.A self-educated mill worker, he not only enriched millions of lives, but also founded aflourishing publishing house. Today, staying true to this spirit, Collins books are packed withinspiration, innovation and practical expertise. They place you at the centre of a world ofpossibility and give you exactly what you need to explore it.

Collins. Freedom to teach.

CNPM_HCM_3_[01-06] 2/1/08 14:18 Page 2

ContentsUnit A1HCM 1 Lunch queue order

Read, write and order numbers

HCM 2 Find the multipleCount on in steps of 3, 4 or 5 from any small number

HCM 3 Pick up 10sRecall pairs of 10 that total 100

HCM 4 Catching starsAdd mentally combinations of one-digit and two-digit numbers

Unit B1HCM 5 Face the facts

Recall all addition and subtraction facts for each number to 20

HCM 6 That’s odd!Recognise odd and even numbers to 100

HCM 7 Revising × 2, × 5, × 10Know by heart multiplication facts for the 2, 5 and 10 times tables

HCM 8 Multiples of 2, 5 and 10Recognise two-digit and three-digit multiples of 2, 5 or 10

HCM 9 Household shapesName and describe 3-D shapes

HCM 10 Cutting corners (1)Solve a puzzle about shapes

Unit C1HCM 11 Candle lengths

Read scales to the nearest division

HCM 12 TablewareShow what was found out using tables and diagrams

HCM 13 Car boot saleShow information using tables, pictograms and bar charts

HCM 14 Fresh foodUse Venn diagrams to sort data and objects using one criterion

Unit D1HCM 15 Problems at home

Solve one-step and two-step problems involving numbers

HCM 16 Fraction tilesFind unit fractions

HCM 17 Which standard unit?Choose suitable units to estimate or measure length

HCM 18 Money boxesDescribe the position of a square on a grid

3

CNPM_HCM_3_[01-06] 2/1/08 14:18 Page 3

Unit E1HCM 19 Number pairs

Know addition facts to 20

HCM 20 Cloud subtractionKnow subtraction facts for each number to 20

HCM 21 Multiple choicesDescribe the pattern when counting in 2s, 3s, 4s or 5s

HCM 22 Multiplication machinesKnow the 2, 3, 5 and 10 times tables

HCM 23 Know your 4 times tableKnow the 4 times table

HCM 24 Multiplying two-digit numbersMultiply a two-digit number by a one-digit number

Unit A2HCM 25 Using 10 and 100

Explain how the digits in a number change when counting in 10s or 100s

HCM 26 Scarf additionAdd or subtract mentally two-digit numbers

HCM 27 Revising the 2, 3, 4, 5, 6 and 10 times tablesKnow the 2, 3, 4, 5, 6 and 10 times tables

HCM 28 What was the question?Solve mathematical puzzles

Unit B2HCM 29 Cut out fractions

Identify fractions of shapes

HCM 30 Great gridsUse multiples of 2, 3, 4, 5, 6 or 10 to solve a puzzle

HCM 31 Odd ones outRecognise multiples of 2, 3, 4, 5 and 10 up to the tenth multiple

HCM 32 Knowing division factsWork out division facts corresponding to the 2, 3, 4, 5, 6 and 10 times tables

HCM 33 Pinboard puzzlesName and describe 2-D shapes

HCM 34 Duvet patternsReflect a shape when the mirror line is along one edge

Unit C2HCM 35 Right on time

Tell the time to the nearest 5 minutes

HCM 36 Sport shop dataShow information in tables, bar charts and pictograms

HCM 37 Dinosaur pictogramsShow information in a pictogram where a picture represents 2 objects

HCM 38 Cutting corners (2)Sort objects using Carroll diagrams

Contents

4

CNPM_HCM_3_[01-06] 2/1/08 14:18 Page 4

Unit D2HCM 39 Plant subtraction

Use written methods to explain subtraction

HCM 40 Multiplying and dividing two-digit numbersMultiply and divide a two-digit number by a one-digit number

HCM 41 Grocery gramsKnow how many grams make 1 kg

HCM 42 Helicopter directionsUse the four compass directions, N, S, E,W, to describe a direction

Unit E2HCM 43 Cut out fractions

Use diagrams to compare fractions and establish equivalents

HCM 44 Problems with the Williams familySolve one-step and two-step word problems

HCM 45 Division deckchairsKnow by heart the multiplication facts for the 2, 3, 4, 5, 6 and 10 times tables and the related division facts

HCM 46 Webs of doubles and halvesDouble whole numbers, multiples of 5 and multiples of 10 and the related halves

HCM 47 Multiplying multiples of 10 and 100Know by heart the multiplication facts for the 2, 3, 4, 5, 6 and 10 times tables and the related division facts;

Multiply one-digit numbers by multiples of 10 and 100

HCM 48 Finding remaindersDivide a two-digit number by a one-digit number

Unit A3HCM 49 Rounding weights

Round any three-digit number to the nearest 10 or 100

HCM 50 Thoughtful numbersDevelop and use written methods

HCM 51 Multiplying larger numbersMultiply a two-digit number by a one-digit number

HCM 52 Dividing larger numbersDivide a two-digit number by a one-digit number

Unit B3HCM 53 Similar calculations

Identify patterns of numbers

HCM 54 Magic squaresIn a puzzle find numbers that match a property

HCM 55 Know your division facts Know by heart the division facts related to the 2, 3, 4, 5, 6 and 10 times tables

HCM 56 Estimating and checkingEstimate and check calculations

HCM 57 Four way fitSolve puzzles about shapes

HCM 58 Rectangular patternsDescribe shapes and patterns

Contents

5

CNPM_HCM_3_[01-06] 2/1/08 14:18 Page 5

Unit C3HCM 59 Kitchen capacities

Know how many millilitres are the same as one litre

HCM 60 SkittlesShow information in a tally chart or bar chart

HCM 61 Ladybird bar chartShow information using tally charts, bar charts and pictograms

HCM 62 Carroll characters Sort objects using Carroll diagrams

Unit D3HCM 63 Partition and add

Develop and use written methods for addition

HCM 64 Which operation?Solve word problems in ‘real life’ and money, using one or more steps

HCM 65 Measuring in millilitresRead scales to the nearest division or half division

HCM 66 Robot routesSolve a puzzle involving right-angled turns

Unit E3HCM 67 Coin change

Partition numbers in different ways

HCM 68 Clever calculationsDevelop and use written methods for addition

HCM 69 Pie fractionsUse diagrams to compare fractions

HCM 70 Builders’ estimatesIdentify and estimate fractions

HCM 71 Multiplying two-digit numbersMultiply a two-digit number by a one-digit number

HCM 72 Dividing two-digit numbersDivide a two-digit number by a one-digit number

Contents

6

CNPM_HCM_3_[01-06] 2/1/08 14:18 Page 6

Lunch queue orderName _________________________Date ____________

Y3 A1 L2HCM 1

© HarperCollinsPublishers Ltd 2008

Write the name of the person in these positions:

a second b 10th c fifthd 8th e eleventh f 3rdg 12th h sixth i 4th

1 Write the positions of the girls, using numbers, for example, 9th.

2 Write the positions of the boys, using words, for example, second.

3 Write the first twenty positions, using numbers and words, for example first (1st), second (2nd) …

Martin(1st)

Joe Dem Sam PaulDeb

HarryMei

Pip Liam Ann

Hannah

• Read, write and order numbers

CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 7

Name _________________________Date ____________Y3 A1 L4

HCM 2


• Count on in steps of 3, 4 or 5 from any small number

Find the multiple

a Fill in the missing numbers to complete the grid.Colour all the multiples of 5.

b Look at each of the numbers below.Writethe multiple of 5 that is closest to, but notmore than each number.

1 a Fill in the missing numbers to complete thegrid. Colour all the multiples of 3.


➙

➙

➙

➙

➙

➙

➙

➙

➙38

52

16

28

33

47

41

26

1010

➙

➙

➙

➙

➙

➙

➙

➙

➙19

8

11

31

28

13

24

5

1516

27

1116

3239

50

1 2 34

30

You need:

� coloured pencils

2 a Fill in the missing numbers to complete thegrid. Colour all the multiples of 4.


➙

➙

➙

➙

➙

➙

➙

➙

➙14

19

30

27

16

43

21

35

47

15 79

13 161721

2731

40

CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 8

Pick up 10sName _________________________Date ____________

Y3 A1 L8HCM 3


You need:

� scissors

• Recall pairs of 10 that total 10030 50 80 10

0

20 50 70 0

20 40 70 90

10 40 60 90

10 30 60 80

A game for 2 players.How to play:� Shuffle the cards and spread them out on the table.� Take turns to turn over two cards.� If they add up to 100, the player keeps them.� If the cards do not add up to 100, place them face

down again in the same place.� Continue until all the cards have been won.The

player with the most pairs is the winner.

Make another set of cards with multiples of 5 that add up to 100 then play again.

CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 9

Catching starsName _________________________Date ____________

Y3 A1 L9HCM 4


Put the stars in the pot and make a new star number.

8

8

26

+

326

+

543

+= = =

On the back of this sheet, complete thefollowing calculation in five different ways:

6 + 7 =

26 34

554

+

723

+= =

845

+

587

+

974

+= = =

825

+

459

+

937

+= = =

• Add mentally combinations of one-digit and two-digitnumbers

CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 10

Face the factsName _________________________Date ____________

Y3 B1 L1HCM 5


Write out the addition and subtraction facts for three other numbers from13 to 20. Draw a next to the ones you know by heart. Draw a * nextto about ten that you need to learn.Ask someone at home to test you.

12 + 0 = 12 12 – 0 = 1211 + 1 = 12 12 – 1 = 1110 + 2 = 12 12 – 2 = 109 + 3 = 12 12 – 3 = 98 + 4 = 12 12 – 4 = 87 + 5 = 12 12 – 5 = 76 + 6 = 12 12 – 6 = 6

12

Ask someone at home to test you on your facts. Can you say each answerin less than 3 seconds?

• Recall all addition and subtraction facts for eachnumber to 20

CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 11

That’s odd!Name _________________________Date ____________

Y3 B1 L4HCM 6


• Recognise odd and even numbers to 100

Instructions� Choose a coloured pencil each.� One player is odd, one player is even.� Take turns to roll the dice.� Starting at 1, move your playing piece the correct

number of spaces.� If the even player lands on an even number,

colour the square. If not, leave it blank.� If the odd player lands on an odd number, colour the square.

If not, leave it blank.� Continue until the even player reaches 100 and the odd player reaches 99.� The player with the most squares coloured is the winner.

10987654321

20191817161514131211

30292827262524232221

40393837363534333231

50494847464544434241

60595857565554535251

70696867666564636261

80797877767574737271

90898887868584838281

100999897969594939291

You need:

� playing piece(per player)

� 1–6 dice� coloured pencil

(per player)

Play the game as described in the section but start at 100.Continue until the even player reaches 2 and the odd player reaches 1.

CNPM_HCM_3_[07-44] 2/1/08 15:13 Page 12

7

x 5a b c

3

2

8

1

6

5

9

4

4

x 2

1

7

5

9

10

2

6

8

6

x 10

2

3

7

10

8

5

1

9

10

3

2 5 10

4

6

2 4 6

5 25 50

10 8060

7

8

9

3 4

35

Revising 2, 5, 10Name _________________________Date ____________

Y3 B1 L7HCM 7


Multiply the numbers in the first column by the number at the top.Write the answer in the second column.

Write the missing numbers in each of these grids.

• Know by heart multiplication facts for the 2, 5 and 10 times tables

CNPM_HCM_3_[07-44] 2/1/08 15:13 Page 13

Multiples of 2, 5 and 10Name _________________________Date ____________

Y3 B1 L9HCM 8


a Colour all thenumbers that aremultiples of 5.

b Colour all thenumbers that aremultiples of 2.

c Colour all thenumbers that aremultiples of 10.

72

310

225

237

85

141

450

46

20

15

125

38

216

25

138

164

80

22

16

33

101

69

207

448 20

95

100

80

52

11

93

50

130

327

460

270Find your way to the secret cave by writing thecorrect sequence by the footprints.Write thefinal number on the diamond.

94 96 105

multiples of 5

multiples of 10

multiples of 2

multiples of 10

multiples of 5

You need:

� colouringmaterials

• Recognise two-digit and three-digit multiples of 2, 5 or 10

CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 14

Household shapesName _________________________Date ____________

Y3 B1 L11HCM 9


• Name and describe 3-D shapes

Object

1

2

carton of juice

bottle of sauce

3

4

5

6

7

Baseis a

prism

Find some containers in your kitchen which have these bases:

circular square rectangular triangular

Take each container and arrange them into 4 sets according to theirbase shape.Ask someone at home to check.

Tick the columns which describe the container.

Which type of base shape do most objects have? Why do you think this is?Write your explanation on the back of this sheet.

You need:

� householdcontainers

CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 15

Cutting corners (1)Name _________________________Date ____________

Y3 B1 L14HCM 10


• Solve a puzzle about shapes

Here is one

of the shapes

An extra

square if

you need itHalfway

along side

Carefully cut out the square at the bottom ofthe sheet. Now cut along the dotted line so thatyou have two shapes. Join the shapes, edge toedge, to make new shapes.Ask someone athome to check.

Draw the different shapes that you make.

Can you find more than six? Use the back of the sheet if necessary.

I made these shapes.

‘By joining the two pieces,edge to edge, you can make at

least 6 different shapes.’Investigate.

You need:

� scissors

� ruler

You need:

� scissors

� ruler

CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 16

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

cm

Candle lengthsName _________________________Date ____________

Y3 C1 L1HCM 11


• Read scales to the nearest division

Write the length of each candle to thenearest centimetre. Include the wick!

Complete these sentences.a Candle F is about cm

longer than candle A.b Candle E is about cm

longer than candle C.c Candle B is about cm

shorter than candle D.d Candle A is about cm

shorter than candle E.

When lit, Candle E will burn for 4 hours.

Write the length of the candle, to the nearest centimetre,after it has burned for 1 hour.

A is

abou

tcm

long

B is

abo

ut

cm

long

C is

abo

utcm

long

D is

abo

utcm

long

E is

abo

utcm

long

F is

abo

utcm

long

CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 17

TablewareName _________________________Date ____________

Y3 C1 L5HCM 12


Count the cups, mugs, dinner plates anddrinking glasses that your family usesregularly.Write the totals in the table.

1 Complete the bar chart toshow the tableware your familyregularly uses.

2 Which are there more of:dinner plates or mugs?

How many more?

3 Write a sentence aboutthe information displayedin your bar chart.

1 Count the knives, forks, dessert spoons and teaspoonsyour family uses regularly.Write the totals in a table.

2 Draw a bar chart to show the information.

3 Write a sentence about the information displayed in your bar chart.

• Show what was found out using tables and diagrams

You need:

� squared paper

� ruler

Tableware

Tableware we use regularly

Nu

mb

er

0

1

Cup Mug Dinnerplate

Drinkingglass

2

3

4

5

6

7

8

9

10

11

12

Tableware Number

Cup

Mug

Dinner plate

Drinking glass

CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 18

Car boot saleName _________________________Date ____________

Y3 C1 L7HCM 13


• Show information using tables, pictograms and bar charts

Count the books,T-shirts and dolls. Complete the table.

2 Use the information in your pictogram to answer these questions.

a How many dolls are for sale?

b How many T-shirts are for sale?

c Which is the most common thing for sale?

d How many more books than dolls are there?

e How many things for sale are not dolls?

f How many things are for sale altogether?

On the back of this sheet, draw a bar chart for the data.

1 Draw a pictogram to show the things for sale.Think of a simple picture to stand for the dolls, books and T-shirts.Draw a picture for every two things for sale.Write a key for your pictogram.

Number

Books

T-shirts

Dolls

Dolls

Books

T-shirts

Number of items

Key

Things for sale

You need:

� ruler

CNPM_HCM_3_[07-44] 2/1/08 15:13 Page 19

Fresh foodName _________________________Date ____________

Y3 C1 L9HCM 14


1 Using the table above, make atick in the Venn diagram for eachfood item.

2 How many pieces of fruit arethere?

Make a tick for each item of freshfood in your house.

3 How many dairy products are there?

4 How many other items of fresh food are there?

5 Write two sentences about the information in your diagram.

1 On the back of this sheet, make your own Venn diagram for the tableof data.

2 Write two sentences about the information in your diagram.

Food Tick

Fruit

Vegetable

Dairy product

Meat

Other

Fruit Dairy product

• Use Venn diagrams to sort data and objects usingone criterion

CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 20

Problems at homeName _________________________Date ____________

Y3 D1 L3HCM 15


• Solve one-step and two-step problems involving numbers

Work out these word problems. Show all your working.

a I have 3 dogs. Each dogeats 4 tins of food a week.How many tins do I buyeach week?

b Each twin received 18 birthday cards.How many did they receive altogether?

c I have grown 3 flowers. Each flower has 7 petals.How many petals are there altogether?

a Dad cooked 24 cakes. His 3 children ate5 cakes each. How many cakes were left?

b I invited 16 friends to my party. Half ofthem couldn’t come. Mum made 4sandwiches for each friend at the party.How many sandwiches did she make?

c Every week we eat 4 packets of crisps each. Mum buys 24 packets ofcrisps a week. How many people are inour family?

If I buy a bag of 50 sweets and I eat 3 a week, for how many weekswill I have 3 sweets?

How many more will I need for one more week?

CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 21

Fraction tilesName _________________________Date ____________

Y3 D1 L5HCM 16


• Find unit fractions

Write the fraction shaded, in words and numbers.

1 Colour the fraction shown.

2 Circle the fraction of tiles shown and then fill in the box.

On the back of this sheet, draw a shape and colour .Repeat for these fractions: , , , .3

423

14

13

12

13

14

14

12

12

13

13

14

14

13

12

a

a

a b c

b

f

c

g

d

h

e

b c d e

one third 13

of 8 is 2 14

You need:


CNPM_HCM_3_[07-44] 2/1/08 14:19 Page 22

Which standard unit?Name _________________________Date ____________

Y3 D1 L6HCM 17


• Choose suitable units to estimate or measure length

Circle the standard unit you are most likely to measure:

a the length of your bed cm m km

b the height of your house cm m km

c the width of your front door cm m km

d the thickness of a sandwich cm m km

e the depth of a drawer cm m km

f the distance to Big Ben cm m km

1 Write two more things you would measure using kilometres.a the distance from London to New York.

b the distance between

c

2 Write two more things that could be measured using metres.a the depth of water in a swimming pool

b the height of

c the length of

3 Write two more things you would measure using centimetres.a the length of your shoe

b the width of a

c the width of a

Write the best estimate from the box for:

a the length of a passenger train

b the height of a railway tunnel

c the distance between 2 railway stations

d the length of a passenger’s train ticket

10 km10 m100 m10 cm 1 m

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 23

Money boxesName _________________________Date ____________

Y3 D1 L9HCM 18


• Describe the position of a square on a grid

1

A B C D

2

3

4

1

A B C D

2

3

4

Remember

Across first, then up.

5p is in square C2

Instructions

Place the coins on the grid so that:� there is a coin in each row and column� no two coins of the same value are next to

each other either horizontally (b) or vertically (n).

a The 1p coins are in squares , , and .

b The 2p coins are in squares , , and .

c The 5p coins are in squares , , and .

d The 10p coins are in squares , , and .

You need:

� 4 × 1p coins

� 4 × 2p coins

� 4 × 5p coins

� 4 × 10p coins

Now complete these sentences for your grid.

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 24

Number pairsName _________________________Date ____________

Y3 E1 L4HCM 19


• Know addition facts to 20

10

Find the pairs of numbers that total 10. Circle them and then work out the answer to the whole sum.

a 6 + 11 + 4 = b 5 + 2 + 5 =

c 7 + 3 + 8 = d 5 + 2 + 8 =

e 7 + 9 + 1 = f 5 + 5 + 6 =

a 9 + 7 + 2 + 1 = b 5 + 1 + 9 + 5 =

c 1 + 3 + 7 + 8 = d 5 + 7 + 5 + 3 =

e 1 + 8 + 7 + 2 = f 4 + 0 + 6 + 10 =

21

Can we use this strategy to make subtraction calculationseasier? Explain your answer.

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 25

Cloud subtractionName _________________________Date ____________

Y3 E1 L5HCM 20


• Know subtraction facts for each number to 20

Write the answers to these subtraction calculations as quickly as you can.

Write the answers to these subtraction calculations as quickly as you can.

On the back of this sheet, write out the multiple of tencalculations that go with each question in the section.

d

9 − 3 =

e

10 − 1 =

f

15 − 5 =

g

6 − 3 =

a

8 − 3 =

b

7 − 4 =

c

6 − 2 =

h

9 − 4 =

i

17 − 1 =

j

20 − 2 =

d

19 − 8 =

e

13 − 5 =

f

12 − 7 =

g

15 − 8 =

a

15 − 4 =

b

18 − 5 =

c

20 − 6 =

h

11 − 9 =

i

17 − 9 =

j

14 − 6 =

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 26

Multiple choicesName _________________________Date ____________

Y3 E1 L6HCM 21


Find the missing numbers and complete each sequence.

1 Look at the table above. List the numbers that are:

a multiples of 2 and 3

b multiples of 4 and 5

c multiples of 4 and 10

2 Write true, false or sometimes true for these sentences.

a Multiples of 10 are multiples of 5.

b Multiples of 5 are multiples of 10.

c Multiples of 3 are even numbers.

d Multiples of 4 are never odd.

e Multiples of 10 are multiples of 2 and of 5.

• Describe the pattern when counting in 2s, 3s, 4s or 5s

a 6 8 12 14

b 6 12 15 30

c 4 24 32

d 15 30 45

e 20 70 90

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 27

Multiplication machinesName _________________________Date ____________

Y3 E1 L10HCM 22


• Know the 2, 3, 5 and 10 times tables

Follow the instructions on each machine. Fill in the missing numbers.

a In

5

7

10

9

4

× 3

Out b In

3

6

1

8

0

× 10

Out

a In

7

4

2 × 5

Out

25

15

b In

8

× 3

Out

15

27

18

21

a In

5

7

10

9

4

× 2

Out b In

8

3

6

7

9

× 5

Out

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 28

Know your 4 times tableName _________________________Date ____________

Y3 E1 L12HCM 23


• Know the 4 times table

Quickly do these calculations in your head. Write the answers.

a 1 × 4 =

d 2 × 4 =

g 5 × 4 =

j 10 × 4 =

b 6 × 4 =

e 9 × 4 =

h 3 × 4 =

k 8 × 4 =

c × 4 = 20

f × 4 = 16

i 7 × = 28

l 6 × = 24

8 ×

4

7 ×

4

2832

10 × 4

11 × 444

40

0 × 4

4 × 4

6 × 4

1 × 4

4

24

0

16

3 ×

4

12

36

5 × 4

2 × 4

20

8

9 ×

4

Cut out the star along the dotted lines.

Jumble up the pieces.

Work out the answers to the 4 times table to put the puzzle back together.

You need:

� scissors

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 29

Name _________________________Date ____________Y3 E1 L15

HCM 24


Complete each of these calculations.

Work out the answer to each of these calculations. Show all your working.


Multiplying two-digit numbers• Multiply a two-digit number by a one-digit number

Example17 × 6 = (10 × 6) + (7 × 6)

= 60 + 42

= 102

13 × 8 = (10 × 8) + (3 × 8)

= +

=

a 15 × 6 = (10 × 6) + (5 × 6)

= +

=

b

19 × 3 = (10 × 3) + (9 × 3)

= +

=

c 16 × 4 = (10 × 4) + (6 × 4)

= +

=

d

14 × 8 =a 18 × 5 =b

17 × 7 =c 18 × 4 =d

25 × 7 =a 24 × 8 =b

23 × 6 =c 22 × 9 =d

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 30

Using 10 and 100Name _________________________Date ____________


• Explain how the digits in a number change whencounting in 10s or 100s

Y3 A2 L3HCM 25

10

+10

+100

–10

+100 +100

+10

–100

–10

–10

+100

+100

–10

–10

+100

+10

+10

+100

–10+100

+10

–100

–100

Do these quickly in your head.Write the answer.

a 127 − 100 =

d 235 + 100 =

g 360 − 100 =

j 452 + 100 =

b 371 − 100 =

e 12 + 10 =

h 45 + 10 =

k 260 − 10 =

c 371 − 10 =

f 455 − 10 =

i 67 − 10 =

l 670 − 100 =

Find your way to the end of the maze by adding or subtracting 10 or 100as shown.Write the new number in the circle.

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 31

Scarf additionName _________________________Date ____________

Y3 A2 L5HCM 26


• Add or subtract mentally two-digit numbers

Complete these calculations.

Choose 2 addition and 2 subtraction calculations from the section and,on the back of this sheet, explain your method for adding and subtractingmentally two-digit numbers.

a

b

c

a

b

c

d

e

f

92 + 37 =

78 − 29 =

85 + 56 =

55 − 18 =

67 + 25 =

63 − 24 =

56 + 13 =

46 + 12 =

38 − 13 =

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 32

Name _________________________Date ____________Y3 A2 L8

HCM 27


Revising the 2, 3, 4, 5,6 and 10 times tables• Know the 2, 3, 4, 5, 6 and 10 times tables

Complete the flowers by filling inthe missing factor or product.

1 Write the numbers that are multiples of both 3 and 4.






Colour the flower petals which are multiples of 3 red.Colour the flower centres which are multiples of 4 yellow.

You need:

� red and yellowcolouringmaterials

9ab c

9 7 8

3054

368

3

42

×4×6×3

64

9016

8

30

4

3612

21

27

8

24

9

16

20

333

30

6

28

15

18

32

40

5

321

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 33

What was the question?Name _________________________Date ____________

Y3 A2 L10HCM 28


• Solve mathematical puzzles

1 2

1 2

The answer is

What was the question?

+ = 10

+ = 10

+ = 10

− = 10

− = 10

× = 10

The answer is

What was the question?+ = 20

+ = 20

− = 20

− = 20

× = 20

× = 20

The answer is

What was the question?

+ = 14

+ = 14

+ = 14

− = 14

− = 14

× = 14

The answer is

What was the question?+ = 15

+ = 15

+ = 15

− = 15

− = 15

× = 15

On the back of this sheet, write down as many calculations as you can thinkof with an answer of 18. Use +, –, × and ÷. Can you use a combination ofthese operations?

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 34

Cut out fractionsName _________________________Date ____________

Y3 B2 L2HCM 29


• Identify fractions of shapes

Cut out the first four shapes. Fold them in halfand then into quarters. Colour half red, aquarter blue and a quarter yellow.

Label the fractions , , .14

14

12

Cut out another circle.Can you fold it into sixths?

You need:

� scissors� red, blue and

yellow colouringmaterials

� sheet of paper

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 35

Great gridsName _________________________Date ____________

Y3 B2 L5HCM 30


• Use multiples of 2, 3, 4, 5, 6 or 10 to solve a puzzle

Multiply the numbers in the first grid by 2.Write the answers in the second grid.

5 8 2

7 4 6

1 9 3

4

8

2

× 2

8 3 6

7 5 10

2 9 4

× 5

5 4 10

8 3 7

9 2 6

× 3

5 6 10

7 2 9

4 8 3

× 10

8 5 10

4 7 3

9 2 6

× 4

Multiply the number in the first grid by 3, 4, 5 or 10 as shown.Write the answers in the second grid.

On the back of this sheet, draw two 3 × 3 grids likethose above.Write the nine numbers from 2 to 10 inthe first grid.Then multiply each of these numbersby 6 and write the answers in the second grid.

a b

c d

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 36

Odd ones outName _________________________Date ____________

Y3 B2 L6HCM 31


Each bag has at least one ball that does not belong.

Colour all the multiples that do not belong in each bag.

Each bag has at least one ball that does not belong.

Colour all the multiples that do not belong in each bag.

On the back of this sheet, draw a Venndiagram. Sort the numbers in a and b ofthe section above.

You need:


a

Multiples of 2 Multiples of 5 Multiples of 10

b c

612 35 60

20

10

120 112

1215 90

250200

7082

93

20

95 44

198566

1524

37

86 9126

50

18

a

Multiples of 3 Multiples of 4 Multiples of 2

b c

523 742198

431234

606459

880757

365

2419

2627

2120 30

1815

33

3024

363228

1615

14 12

22

Multiples of 3 Multiples of 4

• Recognise multiples of 2, 3, 4, 5 and 10 up to the tenth multiple

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 37

Knowing division factsName _________________________Date ____________

Y3 B2 L8HCM 32


Write the answers to these division facts.

a 15 ÷ 5 =

30 ÷ 6 =

80 ÷ 10 =

40 ÷ 5 =

20 ÷ 2 =

60 ÷ 10 =

c 18 ÷ 6 =

9 ÷ 3 =

12 ÷ 4 =

40 ÷ 4 =

100 ÷ 10 =

30 ÷ 3 =

b 14 ÷ 2 =

36 ÷ 6 =

50 ÷ 5 =

16 ÷ 2 =

12 ÷ 3 =

24 ÷ 4 =

Read each word problem.Write a division number sentence for eachproblem and then write the answer.

a A square has 4 sides.The total length of the sides is 20 cm.What is the length of each side?

b Fairground rides cost £10 for 5 rides.How much does it cost per ride?

c Alex has made a pattern of 24 tiles. One tile in every6 has a pattern. How many tiles have a pattern?

d How many sweets are left over if 16 sweets are shared equally into 3 bags?

e How many balls are left over if 33 balls are shared out equally between 5 teams?

Look at the division calculations in the section. On the back of this sheet,write the related multiplication calculation for each division calculation.

• Work out division facts corresponding to the 2, 3, 4, 5,6 and 10 times tables

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 38

Pinboard puzzlesName _________________________Date ____________

Y3 B2 L12HCM 33


• Name and describe 2-D shapes

1R

ead

the

desc

ript

ion

abov

e ea

ch p

inbo

ard.

Dra

w t

he s

hape

on

the

pinb

oard

.

a4

righ

t an

gles

an

d op

posi

te

side

s eq

ual

bA

qua

drila

tera

lw

ith o

ne

righ

t an

gle

c5

vert

ices

,2

of w

hich

are

ri

ght

angl

es

dA

tri

angl

e w

ith 2

equa

l sid

es b

ut n

ori

ght

angl

e

ab

cd

2W

rite

ade

scri

ptio

n fo

r th

ese

shap

es o

n th

e ba

ck o

f thi

s sh

eet.

You need:

� ruler

� set-square

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 39

Duvet patternsName _________________________Date ____________

Y3 B2 L14HCM 34


• Reflect a shape when the mirror line is along one edge

These duvet patterns are only half made.Finish the other half in the same pattern.

Colour the top duvet pattern makingsure that it is still symmetrical.

Place a mirror on thisline to check your pattern.

You need:

� colouredpencils

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 40

Right on timeName _________________________Date ____________

Y3 C2 L3HCM 35


Write what time each clock face shows.

1 Show the time on both clocks.

10 past 4 25 to 9 20 past 3 10 to 11

2 This is Abi’s digital alarm clock.

a Write the time it showed:

10 minutes ago 30 minutes ago.

b In 15 minutes time when the alarm bell rings it will be:

• Tell the time to the nearest 5 minutes

12

6

39

10

11 1

7 5

8

2

4

12

6

39

10

11 1

7 5

8

2

4

12

6

39

10

11 1

7 5

8

2

4

a b c

12

6

39

10

11 1

7 5

8

2

4

12

6

39

10

11 1

7 5

8

2

4

12

6

39

10

11 1

7 5

8

2

4

d e f

12

6

39

10

11 1

7 5

8

2

4

12

6

39

10

11 1

7 5

8

2

4

12

6

39

10

11 1

7 5

8

2

4

a b c12

6

39

10

11 1

7 5

8

2

4

d

4 10

7 25

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 41

Sport shop dataName _________________________Date ____________

Y3 C2 L4HCM 36


• Show information in tables, bar charts and pictograms

Count the thingsfor sale in the sport shop.Write the numbersin the table.

Item Number

footballs

rackets

bats

goggles

a What is the most commonitem for sale?

b How many more footballsthan bats are there?

c If the shop sells half therackets, how many will ithave left?

1 Using the information above, complete thebar chart. Now answer these questions.

2 Write two sentences aboutthe information presented inthe bar chart.

On the back of this sheet, draw a pictogram for the data.

footb

alls

rack

ets

bats

goggle

s

14

12

10

8

6

4

2

0

Sport shop

Num

bers

of item

s

Items for sale

Sport shop

You need:

� ruler

You need:


CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 42

Dinosaur pictogramsName _________________________Date ____________

Y3 C2 L6HCM 37


Count the dinosaurs and complete the table.

2 Use the information in your completed pictogram to answer these questions.

a How many Brontosaurus are there?

b How many Pterodactyls and Tyranosaurus are there?

c Which is the most common dinosaur?

d How many more Stegosaurus than Pterodactyls are there?

e How many dinosaurs are not Pterodactyls?

f How many dinosaurs are there altogether?

1 Complete the pictogram.Draw a dinosaur egg to stand for 2 dinosaurs.

On the back of this sheet, draw a bar chart for the data.

Key

Title:

Brontosaurus

Tyrannosaurus

Stegosaurus

Pterodactyl

Dinosaur Number

Brontosaurus

Tyrannosaurus

Stegosaurus

Pterodactyl

Stegosaurus

Brontosaurus

Tyrannosaurus

Pterodactyl

You need:


� ruler

• Show information in a pictogram where a picturerepresents 2 objects

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 43

Cutting corners (2)Name _________________________Date ____________

Y3 C2 L9HCM 38


• Sort objects using Carroll diagrams

1 Cut off the bottom left corner of your A4 sheet of paper.

2 Use a red pen to write a different name on each side.

3 Copy the Carroll diagram.

4 Drop the corner of paper 20 times.Each time, make a tick in the Carroll diagram.

5 Write the totals in the Carroll diagram.

1 Cut off the bottom right corner of this sheet.

2 Use a blue pen to write the above names on each side.

3 Copy the Carroll diagram.

4 Drop both corners of paper 20 times. Each time, record the results using ticks in the Carroll diagram.

5 Write the totals in the Carroll diagram.

1 Cut off the top two corners of this sheet.

2 Write a different name on each side of the left corner.

3 Write a different number on each side of the right corner.

4 Copy the Carroll diagram.Label the Carroll diagram with your names and numbers.

5 Drop both corners of paper 20 times. Record the results using ticks.Then write in the totals.

You need:

� scissors � red and blue

colouringmaterials

� ruler � A4 paper

Jack Jill

Jack Jill

Jack

Red

Blue

Jill

CNPM_HCM_3_[07-44] 2/1/08 14:20 Page 44

Plant subtractionName _________________________Date ____________

Y3 D2 L2HCM 39


• Use written methods to explain subtraction

Find the difference by counting on to work out the calculations.

a106 −

99 =

93 94 95 96 97 98 99 100 101 102 103 104 105 106 107

b 102 − 94 =

c 107 − 99 =

d10

3 −98

=

e10

5 −

97 =

f 104 −

93 =

g 101 − 98 =h

102 − 93 =a

301 −295 =

b 406 − 399 =

c 702 − 695 =

d90

5 −

898

=

e10

03 −

996

=

f 804 − 795 =

g 704 − 595 =

On the backof this sheet,make up 10subtractioncalculationsfor yourself.

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 45

Name _________________________Date ____________Y3 D2 L5

HCM 40


14 × 8 = (10 × 8) + (4 × 8)

= +

=

a 17 × 6 = (10 × ) + (7 × )

= +

=

b

19 × 4 = ( × ) + ( × )

= +

=

c 78 ÷ 6 = (60 + 18) ÷ 6

= (60 ÷ 6) + (18 ÷ 6)

= +

=

d

92 ÷ 4 = (80 + 12) ÷ 4

= ( ÷ ) + ( ÷ )

= +

=

e 72 ÷ 3 = ( + ) ÷

= ( ÷ ) + ( ÷ )

= +

=

f

Multiplying and dividingtwo-digit numbers

Example17 × 3 = (10 × 3) + (7 × 3)

= 30 + 21

= 51

90 ÷ 5 = (50 + 40) ÷ 5

= (50 ÷ 5) + (40 ÷ 5)

= 18

Work out the answer to each of these calculations.


On the back of this sheet, work out the answer to each of thesecalculations. Show all your working.

a 18 × 4 = b 15 × 6 = c 13 × 7 =

d 54 ÷ 3 = e 64 ÷ 4 = f 95 ÷ 5 =

a 18 × 9 = b 16 × 8 = c 17 × 4 =d 98 ÷ 7 = e 96 ÷ 6 = f 84 ÷ 4 =

• Multiply and divide a two-digit number by a one-digit number

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 46

Grocery gramsName _________________________Date ____________

Y3 D2 L7HCM 41


• Know how many grams make 1 kg

Look for the weight label on packets, tins and jars.Find three items for each set.Write the name and weight in grams of each item in the appropriate column.

Find a set of items from the section which together will weigh about 1 kg Draw each item and write its weight in the box.1

2

Less than kg

kg

more than kg 12

12

12grocery item weight in grams

e.g. jar marmalade 454 g

123

grocery item weight in grams

e.g. low fat spread 500 g

123

grocery item weight in grams

e.g. cereal 750 g

123

+ + = about 1 kg12

Can you find other combinations of groceries that weigh about 1 kg?Write any combinations on the back of this sheet.

12

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 47

Helicopter directionsName _________________________Date ____________

Y3 D2 L8HCM 42


Answer these questions.

1 I am hovering over an oil rig. I can see the supply ship in front of me.Behind me is Beta rig.

a In which direction am I facing?

b If I make a quarter turn to the right, which oil rig will I see?

2 I am flying over the fishing boats. Behind me is Beta rig.

a In which direction am I flying?

b I want to land on Delta rig.Write down the directions.

3 I am hovering over an oil rig. I can see Aberton Port in front of me. Behind me is Delta rig.

a In which direction am I facing?

b If I make a quarter turn to the left, which rig will I see?

On the back of this sheet, write a description of how to get from one rig toanother. Include directions and turns in your description.

Gamma rig Supply ship

Alpha rig

Beta rig

Fishing

boats

Delta rig

Aberton

Port

E

S

W

N

You are in a helicopter hoveringover Alpha rig. Look at the mapthen complete these sentences.

1 I can see rig to the south.

2 I can see rig to the east.

3 The supply ship is to the.

4 If I want to fly to AbertonPort, I will have to face

.

• Use the four compass directions, N, S, E,W, to describe a direction

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 48

Cut out fractionsName _________________________Date ____________

Y3 E2 L4HCM 43


Cut out the circles and then cut them into theirfraction pieces. How many new circles can you make?

On a piece of paper, draw each of your circles andlabel the fractions you have used.

You need:

� scissors

� sheet of paper

• Use diagrams to compare fractions and establish equivalents

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 49

Name _________________________Date ____________Y3 E2 L5

HCM 44


Problems with theWilliams family

1 Mrs Williams dug up 27 potatoes and 17 carrots. How many vegetables does she havealtogther?

2 Sarah is watching TV.The first programme lasted for 15 minutes and the second programme for 20 minutes. How long did Sarah watch TV for?

3 Mr William baked 15 jam tarts. He ate 7 of them.How many were left?

1 Simon has collected 63 stickers. He has 18 in abox and the rest in an album. How many are inthe album?

2 Mrs Williams has 4 pots and she has planted 13bulbs in each. She wants to plant 75 bulbsaltogether. How many more bulbs does she needto buy?

3 Mr Williams bought 56 biscuits to last the familyfor a week. How many can each member of thefamily eat a day?

On the back of thissheet, write a wordproblem about theWilliams family to sharewith your class.

Working out

• Solve one-step and two-step word problems

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 50

Division deckchairsName _________________________Date ____________

Y3 E2 L7HCM 45


Write the answers for these divison facts.

20 ÷ 2 =

16 ÷ 4 =

40 ÷ 5 =

40 ÷ 10 =

30 ÷ 6 =

30 ÷ 3 =

14 ÷ = 7

50 ÷ = 10

20 ÷ = 5

35 ÷ = 5

÷ 3 = 6

÷ 4 = 2

18 ÷ 2 =

50 ÷ 10 =

1 15 ÷ 3 =

32 ÷ 4 =

50 ÷ 5 =

12 ÷ 6 =

Here are some multiplication and division number families.Write the multiplication and division facts for each.

a b c

28

7

4

24

8

3

40

8

5

a b c d

21

3

30

510

9

14

2

One number in the family has gone missing. Find themissing number then write the multiplication anddivision facts for each family.

• Know by heart the multiplication facts for the 2, 3, 4,5, 6 and 10 times tables and the related division facts

Example

60

10

60 6 × 10 = 6010 × 6 = 6060 ÷ 10 = 660 ÷ 6 = 10

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 51

Name _________________________Date ____________Y3 E2 L8

HCM 46


Webs of doublesand halves• Double whole numbers, multiples of 5 and multiples of

10 and the related halves• Double whole numbers, multiples of 5 and multiples of

10 and the related halves

350

doub

le37 16

12

45

150

1665

200

75

250

45

900

500 170

38

19

halve

twice

24

180

600

100032

140

48

500

1

2

32

24

48

12

6

Double each number on the spider’s web.

Complete each number web by following the instruction in the centre.

120

30

50

400

19

65

25

16

40

100

50

4020

a b

a b

a b c

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 52

Name _________________________Date ____________Y3 E2 L13

HCM 47


a 7 × 5 = b 6 × 2 = c 8 × 10 =

d 3 × 10 = e 7 × 3 = f 8 × 4 =

g 6 × 4 = h 4 × 5 = i 3 × 6 =

j 8 × 6 = k 7 × 6 = l 9 × 3 =

a 70 × 3 = b 7 × 400 = c 4 × 600 =

d 2 × 400 = e 6 × 90 = f 8 × 30 =

g 800 × 2 = h 30 × 9 = i 80 × 4 =

a 60 × = 420 b 4 × = 280 c × 3 = 270

d × 8 = 320 e 20 × = 180 f × 900 = 3600

g 8 × = 1600 h 400 × = 2000 i × 6 = 3600

• Know by heart the multiplication facts for the 2, 3, 4, 5, 6and 10 times tables and the related division facts

• Multiply one-digit numbers by multiples of 10 and 100

Multiplying multiplesof 10 and 100

Use your knowledge of the times tables facts to help you workout the answers to these calculations.

Use your knowledge of the times tables facts to help you workout the answers to these calculations.

8 × 3 =

80 × 3 =

8 × 300 =

9 × 5 =

90 × 5 =

9 × 50 =

2 × 7 =

2 × 700 =

20 × 7 =

a1

2

b c

d e f4 × 4 =

40 × 4 =

4 × 400 =

9 × 6 =

900 × 6 =

9 × 60 =

10 × 8 =

8 × 100 =

80 × 10 =

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 53

Finding remaindersName _________________________Date ____________

Y3 E2 L14HCM 48


• Divide a two-digit number by a one-digit number

Group each set of objects.Write how many groups there are.Write how many are left over.

a 13 ÷ 3 = R

c 17 ÷ 5 = R

e 11 ÷ 2 = R

b 22 ÷ 10 = R

d 14 ÷ 4 = R

f 23 ÷ 5 = R

Look at each division calculation.Write what multiplication fact you thinkof to answer the question.Write the answer and any remainders.

a

So

d

So

b

So

e

So

c

So

f

So

Think

29 ÷ 3

Think

32 ÷ 3

Think

38 ÷ 5

Think

23 ÷ 10

Think

26 ÷ 4

16 ÷ 5 = 3 R 1

3 × 5 = 15

Think

16 ÷ 5

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 54

Rounding weightsName _________________________Date ____________

Y3 A3 L1HCM 49


• Round any three-digit number to the nearest 10 or 100

Round the weights to the nearest 100 g.

a b c d e

760 g 315 g 123 g 650 g 93 g

a b c d e

550 kg 223 kg 385 kg 32 kg 158 kg

a b c d e

400 kg 200 kg 100 kg 800 kg 0 kg

1 Round each weight to thenearest 100 kg.Write youranswer in the box.

These weights have been rounded to the nearest 100 kg.

Write down two possible weights.

2 Round each weight to thenearest 10 kg.Write youranswer in the oval.

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 55

Thoughtful numbersName _________________________Date ____________

Y3 A3 L3HCM 50


• Develop and use written methods

10 + 20 + 6 + 1

First work out each calculation in your head.Then write down how you did it.

a 16 + 21 = b 36 + 22 =

c 45 + 31 = d 64 + 35 =

e 23 + 54 = f 72 + 26 =

37

a 39 + 43 = b 68 + 25 =

c 76 + 24 = d 53 + 64 =

e 87 + 34 = f 95 + 56 =

a 58 + 27 = b 84 + 77 =

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 56

Name _________________________Date ____________Y3 A3 L8

HCM 51


Multiplying largernumbers• Multiply a two-digit number by a one-digit number

Work out the answers to the calculations.Show all your working.

a 23 × 2 =

d 3 × 13 =

a 6 × 23 =

b 2 × 24 =

e 4 × 12 =

b 33 × 9 =

c 3 × 32 =

f 4 × 42 =

c 87 × 4 =

d 43 × 5 = e 58 × 4 = f 64 × 8 =

a Twice 24

c Multiply 4 by 22

e 4 times 11

g 33 multiplied by 3

i Double 34

k What is the product of 2 and 25?

b The product of 23 and 2

d 15 lots of 2

f Twice 43

h Double 44

j Multiply 33 by 2

l 3 times 12

Write the answers.

Example

34 × 6 = 30 × 6 = 180

4 × 6 = 24180 + 24 = 204

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 57

Dividing larger numbersName _________________________Date ____________

Y3 A3 L9HCM 52


• Divide a two-digit number by a one-digit number

98 ÷ 3 = (90 + 8) ÷ 3

= (90 ÷ 3) + (8 ÷ 3)

= + R

= R

a 72 ÷ 5 = (50 + 22) ÷ 5

= (50 ÷ 5) + (22 ÷ 5)

= + R

=

b

81 ÷ 6 = ( + ) ÷

= ( ÷ ) + ( ÷ )

= +

= R

c 93 ÷ 4 = ( + ) ÷

= ( ÷ ) + ( ÷ )

= +

= R

d

Example87 ÷ 4 = (80 + 7) ÷ 4

= (80 ÷ 4) + (7 ÷ 4)

= 20 + 1 R3

= 21 R3Work out the answer to each ofthese calculations.

Work out the answer to each of these calculations. Show all your working

Divide 98 by 7, 8 and 9.

a 95 ÷ 6 = b 70 ÷ 4 = c 68 ÷ 3 =

d 87 ÷ 5 = e 74 ÷ 3 = f 89 ÷ 6 =

7 8 9

98

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 58

Similar calculationsName _________________________Date ____________

Y3 B3 L3HCM 53


• Identify patterns of numbers

Choose six calculations that you know, then write othercalculations they can help you to work out.

On the back of this sheet, explain the patterns in the calculations.What is the same about them?

a b c d

I know

7 + 4 = 11

soI can

work out

17 + 4 = 2127 + 4 = 3137 + 4 = 4147 + 4 = 5157 + 4 = 6187 + 4 = 91

+ +I know

soI can

work out

+I know

soI can

work out

+I know

soI can

work out

I know

5 – 2 = 3

soI can

work out

25 – 2 = 2335 – 2 = 3345 – 2 = 4355 – 2 = 5385 – 2 = 8395 – 2 = 93

– –I know

soI can

work out

–I know

soI can

work out

–I know

soI can

work out

e f g h

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 59

6

9

1

5 6 8 10

7

3

11 21 31

12

13

5

9

7

6

20

30

10

Magic squaresName _________________________Date ____________

Y3 B3 L4HCM 54


• In a puzzle find numbers that match a property

Find the total of each of these rows,columns and diagonals.

Fill in the missing numbers to make these magic squares.

On the back of this sheet, make a magic square of your own.What is the magic number?

a b

c

g

d

e f

=

=

=

=

=

=

a Magic number =

d Magic number = 30

b Magic number =

e Magic number = 27

c Magic number =

f Magic number =

2

4

6 1

13 6

14

3 8 7

6

8 12

10

26 21

25

24

1

2 7 6

=

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 60

Know your division factsName _________________________Date ____________

Y3 B3 L7HCM 55


� Take turns to spinthe spinner.

� If the number spunshows the answer toa division calculationon the game board,then cover it withone of your counters.If not, miss a turn.

� The winner is the first player to place 5 of their counters in acolumn, row or diagonal.

• Know by heart the division facts related to the 2, 3, 4,5, 6 and 10 times tables

You need:

� paper clip� pencil� 40 counters: 20

in one colour, 20in another

1

23

45 6

78

9

10

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 61

Estimating and checkingName _________________________Date ____________

Y3 B3 L9HCM 56


Estimate, calculate and check the answers to each of these calculations.Show all your working.

1 18 × 6

• Estimate and check calculations

Examples

Estimate30 × 4 = 120

Calculate20 × 4 = 807 × 4 = 28

Check27 × 2 = 54

54 × 2 = 108

Estimate Calculate Check75 ÷ 3 = 25 (60 + 13) ÷ 3 24 × 3

= (60 ÷ 3) + (13 ÷ 3) 20 × 3 = 60= 20 + 4 R1 4 × 3 = 12= 24 R1 60 + 12 + 1 = 73

Example 1 27 × 4 =

Example 2 73 ÷ 3 =

→ →Estimate Calculate Check

2 84 ÷ 3 → →Estimate Calculate Check

1 54 × 9 → →Estimate Calculate Check


1 63 × 8 → →Estimate Calculate Check


80 + 28 = 108

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 62

Four way fitName _________________________Date ____________

Y3 B3 L13HCM 57


• Solve puzzles about shapes

1 Cut out the eightshapes at the footof the page.

3 Use four ‘L-shapes’.Fit them on this grid.

Colour the grid to show how the shapes covered the grid.

2 Use four ‘T-shapes’.Fit them on this grid.

Now use colour to show howthe shapes fitted on the grid.

You need:

� scissors

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 63

Rectangular patternsName _________________________Date ____________

Y3 B3 L14HCM 58


• Describe shapes and patterns

Continue these patterns as far as you can go.

Use two colours for each pattern.

Pattern 1 Pattern 2

Pattern 1 Pattern 2

You need:


CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 64

Kitchen capacitiesName _________________________Date ____________

Y3 C3 L3HCM 59


• Know how many millilitres are the same as one litre

Container I estimateKettleTeapotSaucepanTeacupMy favourite mug

Find these containers in your kitchen.Estimate how much each holds and complete the table.

1 Fill the kettle.A full kettle holds litres or millilitres.

2 Fill the teapot from the kettle.

The teapot holds ml.

There are ml left in the kettle.

3 Pour out a cup of tea.

The cup holds ml.

There are ml left in the teapot.

4 The teapot will fill cups.

5 Catherine has made a pot of tea.

How many mugs can she fill?

How much tea is left in the teapot?

Catherine uses these containers in her kitchen.

On the back ofthis sheet, writethree statementscomparing thecapacities of thefive containers inthe section.

800 ml 1 l 200 ml 300 ml12

You need:

� variety ofkitchencontainers

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 65

SkittlesName _________________________Date ____________

Y3 C3 L5HCM 60


2 Which skittle shape has the highest frequency?

3 How many skittles are there altogether?

4 Write your answer to question 3 using tally marks grouped in fives.

1 Make a tally mark foreach skittle.Remember to groupthe tally marks infives.Write down thefrequencies.

Copy the empty tally chart from the activity.

1 Spin a 2p coin over the skittles 30 times. Make atally mark for each skittle the coin touches.Complete the tally chart.

2 Write two sentences about the informationdisplayed in your table.

Draw a bar chart for the tally chart in the section.

• Show information in a tally chart or bar chart

Skittle shape Tally Frequency

You need:

� 2p coin

You need:

� squared paper� ruler � colouring

materials

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 66

Ladybird bar chartName _________________________Date ____________

Y3 C3 L7HCM 61


• Show information using tally charts, bar charts and pictograms

Spots Tally Total234

56

1 Using the information above,complete the bar chart.

2 a What does the shortestbar tell you?

b Which are more common– 4 spots or 5 spots?

c How many ladybirds havemore than 4 spots?Draw a pictogram

for the tally chartin the section.

2 3 4 5 6

12

10

8

6

4

2

0Num

ber

of la

dybir

ds

Spots on ladybirds

Spots

You need:


You need:

� squared paper� ruler � colouring

materials

Count the spots oneach ladybird. Make atally mark on the tablefor each number ofspots. Count the tally marks and write the total.

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 67

Carroll characters Name _________________________Date ____________

Y3 C3 L10HCM 62


These capital letters are drawn using straight lines and curved lines.

A B C D E F G H I J K L

Copy them into thecorrect part of theCarroll diagram.

1 Decide how to sort these symbols. On the back of this sheet, draw aCarroll diagram and sort the symbols.

! £ = % / & + ( @ ?2 Write two sentences about your diagram.

1 Sort the above capital letters using the Carroll diagram.2 Write the totals in the circles.

3 How many letters have straight lines but no symmetry?

• Sort objects using Carroll diagrams

Curved Not curved

Curved

Symmetry

No symmetry

Not curved

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 68

Partition and addName _________________________Date ____________

Y3 D3 L1HCM 63


Make up five addition calculations for yourself and workthem out using the written partitioning method. Use acombination of 2-digit and 3-digit numbers.

Explain to someone at home how this method works and ask them if theythink it is a good method.Write down what they say.

• Develop and use written methods for addition

1

32

54

Example37 + 56 = 93

30 + 7

50 + 6

80 + 13

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 69

Which operation?Name _________________________Date ____________

Y3 D3 L5HCM 64


• Solve word problems in ‘real life’ and money, usingone or more steps

1 Write in the circle the sign for the operation you will use.

2 Write the calculation necessary to answer the question.

3 Write the answer to the problem.

stamps postcards envelopes phonecards

a John bought 4 stamps.How much did he spend?

Calculation:

Answer:

b Mr Ali bought 35 phonecards.How much did he spend?

Calculation:

Answer:

d The postman has delivered a boxof envelopes.There are 450 inside.How much is the whole box worth?

Calculation:

Answer:

f Seven people buy 5 phonecardseach. How many phonecards are sold?

Calculation:

Answer:

h Carol bought 3 postcards,3 envelopes and 3 stamps.How much did she spend?

Calculation:

Answer:

c Sylvia has 90p to spend.How many envelopes can shebuy?

Calculation:

Answer:

e Sebastian has saved £450. Howmany phonecards can he buy?

Calculation:

Answer:

g Susan bought 4 rows of stamps.There were 12 stamps in eachrow. How many did she buy?

Calculation:

Answer:

×

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 70

500

400

300

200

100

500

400

300

200

100

500

400

300

200

100

1000

800

600

400

200

500

400

300

200

100

1000

800

600

400

200

Measuring in millilitresName _________________________Date ____________

Y3 D3 L6HCM 65


• Read scales to the nearest division or half division

The weather is very warm. Carlo has to make twice as much ice cream as onMonday. Fill each container with the correct amount of fruit juice.Write the flavourof the fruit juice underneath, and the amount of juice in the container. Remember tochoose a suitable container for each amount.

Strawberry

ml

Lime

ml

Lemon

ml

Blueberry

ml

Orange

ml

Raspberry

ml

ml ml ml ml ml ml

1500 ml

1 litre

500 ml

2 litre

800

600

400

200

100

1 litre

900

700

500

300

800

600

400

200

100

1 litre

900

700

500

300

800

600

400

200

100

1 litre

900

700

500

300

500

400

300

200

100

ml

1l

l12

1 l12

On Monday, Carlo the ice-cream maker carefully measured out these fruit juices.Write on the label how much juice there is in each container.

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 71

Start

Finish

Start

Finish

Start

Finish

Start

Finish

Start

Finish

Start

Finish

Start

Finish

Start

Finish

Start

Finish

Start

Finish

Robot routesName _________________________Date ____________

Y3 D3 L10HCM 66


• Solve a puzzle involving right-angled turns

Here is oneroute.Can you findthe other 9?

I can navigate 10different routes from

start to finish.

You need:

� ruler

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 72

Coin changeName _________________________Date ____________

Y3 E3 L1HCM 67


Carrie, Kerry and Kiri paid £3.50 for their ticket to the cinema. Each paid with adifferent number of £1, 10p and 1p coins.Which coins might each girl have used?

Make up the amounts ineach purse by choosingcoins from each bag.

Make up the amounts in each purseby choosing coins from all 3 bags.

a 59p → p in 10p coins

→ p in 1p coins

b 83p → p in 10p coins

→ p in 1p coins

c 75p → p in 10p coins

→ p in 1p coins

d 96p → p in 10p coins

→ p in 1p coins

Carrie

→ £ in £1 coins

→ p in 10p coins

→ p in 1p coins

Kerry

→ £ in £1 coins

→ p in 10p coins

→ p in 1p coins

Kiri

→ £ in £1 coins

→ p in 10p coins

→ p in 1p coins

→ £ in £1 coins

→ p in 10p coins

→ p in 1p coins

→ £ in £1 coins

→ p in 10p coins

→ p in 1p coins

→ £ in £1 coins

→ p in 10p coins

→ p in 1p coins

• Partition numbers in different ways

10p 1p

1p10p£1

£5.25 £6.34 £7.06

a b c

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 73

Clever calculationsName _________________________Date ____________

Y3 E3 L3HCM 68


• Develop and use written methods for addition

Write out the calculations and work out the answers.

a 31 + 25

d 13 + 26

b 42 + 34

e 52 + 17

c 62 + 27

f 43 + 36

+tensunits

answer

+tensunits

answer

+tensunits

answer

+tensunits

answer

+tensunits

answer

tensunits

answer

3 12 5 +5 0 65 6

a 137 + 42

d 139 + 46

b 153 + 25

e 162 + 29

c 146 + 33

f 155 + 38

hundredstensunits

answer

+

hundredstensunits

answer

+

hundredstensunits

answer

+

hundredstensunits

answer

+

hundredstensunits

answer

+

hundredstensunits

answer

1 3 7 4 2 +1 0 0 7 0 91 7 9

On the back of this sheet, make up five HTU + HTU calculations for yourself.

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 74

Pie fractionsName _________________________Date ____________

Y3 E3 L7HCM 69


• Use diagrams to compare fractions

1 Write the number of pies.

a b c

a b c 11

d3

2 34

121

2

34

141

4

34

a b c3 4

d

1 14

343

4

11

a 11

b 12

c 12

d3

4 12

121

4

34

121

2

d e

2 Fill in the missing fractions.

0 1 2 3 414

1 Complete the number line in the section and use it to help youanswer these questions.Write the larger fraction.

2 Write any number that lies between each of the following.

Write down the number that lies halfway between each of the following.

12

12

12

CNPM_HCM_3_[45-78] 2/1/08 14:22 Page 75

Builders’ estimatesName _________________________Date ____________

Y3 E3 L8HCM 70


• Identify and estimate fractions

Estimate the number of screws in each box.The number shows how many are in a full box.

a

87

b

58

c

42

d

105

a

33

b

50

c

48

d

29

1 Estimate how many nails are in each bag.The number shows how many are in a full bag.

2 Count the tiles on the roof. Estimate the number oftiles to cover the roof.

a b

c d

Explain how you worked out your answer for question 1a in the activity.

CNPM_HCM_3_[45-78] 2/1/08 14:23 Page 76

Name _________________________Date ____________Y3 E3 L13

HCM 71


Write a one-digit number greater than 2 in each grey box.Then multiply thetwo numbers together. Be sure to estimate your answer first.

a 14 × = b 16 × = c 23 × =

Multiplying two-digit numbers• Multiply a two-digit number by a one-digit number

a 57 × = b 63 × = c 48 × =

d 76 × = e 89 × = f 94 × =

a 116 × = b 154 × = c 163 × =

CNPM_HCM_3_[45-78] 2/1/08 14:23 Page 77

Name _________________________Date ____________Y3 E3 L14

HCM 72


Dividing two-digit numbers• Divide a two-digit number by a one-digit number

Write a one-digit number greater than 2 in each grey box.Then divide the two-digit number by the one-digit number. Be sure to estimate your answer first.

a 14 ÷ = b 32 ÷ = c 58 ÷ =

a 63 ÷ = b 79 ÷ = c 86 ÷ =

d 97 ÷ = e 68 ÷ = f 83 ÷ =

a 114 ÷ = b 122 ÷ = c 126 ÷ =

CNPM_HCM_3_[45-78] 2/1/08 14:23 Page 78

Documents

Homework Pack 3 - rafflesis.com · Homework Pack 3 Written by teachers for teachers to support the renewed Primary Framework, Collins New Primary Maths is a whole-school numeracy