KS2 Mental Arithmetic 3 Schofield & Sims

Schofield & Sims Mental Arithmetic

The Language of Maths Boost your number vocabulary by learning the meanings of the maths terms listed below - all of them are used in this book.

area - the amount of surface space inside the perimeter of a shape. We often measure area in square centimetres (cm') or square metres (m').

average - to find the average or mean of 3, 7 and II+-, you have to find the total of the numbers (3 + 7 + II+- = 21+-). You then divide the total (21+-) by the number of items in your list (3). 21+- divided by 3 = 8. The average is therefore 8. Use the same method to find averages of other lists of numbers.

capacity - the amount that something will hold. We may talk about the capacity of a glass or the capacity of a football stadium.

circle - a round two-dimensional (2-D) shape. A complete turn in a circle is 360 degrees (360).

distance - the word we use to tell us how far it is from one place to another. One way of finding out a distance is to measure it using a ruler or measuring tape. To calculate a longer distance (for example, one that you would travel on a bike or in a car) you can use this formula: distance= time x speed.

perimeter - the distance all the way round the edge of something.

perpendicular - a line is perpendicular to another line if it meets it at right angles.

quadrilateral - a two-dimensional (2-D) shape with four straight sides and with internal (inside) angles that add up to 360 degrees (360). Some quadrilaterals have special names (for example, 'square' or 'parallelogram').

rhombus - a two-dimensional (2-D) shape. It has four sides that are equal in length. Its opposite sides are parallel.

squared - a number that is squared is to be multiplied by itself (for example, '7 squared' is 7 x 7). We sometimes write squared with a very small number 2 placed after the number and raised up high. For example, '7 squared' is written as '7''

triangle - a two-dimensional (2-D) shape with three straight sides and three angles that always add up to 180 degrees ( 180). There are many different types of triangle (equilateral, isosceles, scalene, right-angled): try to find out about each type.

21+-hour clock - the clock that we use for timetables. The 21+--hour clock uses four digits. The first two are for hours and the second two are for minutes. For example, 1 .30 p.m. is shown as 13:30 on the 21+--hour clock.

Contents Section I

Section 2

Section 3

Tests I to 12, covering revision of Book 2 plus the following topics:

Number: Thousands, hundreds, IOs, units. Place value. Reading and writing numbers to 10 OOO. Decomposition of numbers. Use of signs =, +, -, x, +, and associated vocabulary. Number facts to 18; IOs and units; hundreds and IOs. Multiplication and division tables 2 to 10. Multiplication with addition. Division with remainders. Four rules, miscellaneous examples.

Fractions: Practical applications. Easy fractional parts of given quantities. Equivalent fractions; addition and subtraction.

Money: Coins to I . Coin manipulation; equivalents, conversions. Writing amounts as pence, as fs. Shopping calculations, change. Four rules, miscellaneous examples.

Measures: Length: mm, cm; cm, m; m, km; mm, m. Mass: g, kg. Capacity: m l. Fractional parts, conversions.

Time: Telling the time. a.m., p.m. Clocks: fast and slow. Miscellaneous examples using min, h, days, weeks, months, years. Finding periods of time. Time, distance, speed, km/h.

Shapes and angles: Squares, rectangles. Circles - diameter. Triangles - identification by angles (right-angled, acute, obtuse). The compass, direction. Right angles, turning.

Progress Test

Progress Test I Results Chart

Tests I to 12, covering topics from Section I plus the following:

Number: Multiplication by 10; by 100. Series. Square numbers

Fractions: Equivalent fractions including conversion of tenths to hundredths. Reduction to lowest terms. Decimals; tenths, hundredths. Equivalents. Multiplication by 10, by 100, division by 10, by 100. Miscellaneous examples.

Money: Decimal fractions of I . Unequal sharing. Discounts. Costings. Best buys.

Measures: Length. Mass. Capacity. Introduction of decimal parts. Approximation to nearest m, 5' m, km; kg, 5' kg; 5' l. Reading dials. Interpretation of lines drawn to different scales.

Shapes and angles: Perimeter. Parallel lines. Perpendiculars. Rhombus. Circles: circumference; angle at the centre. Number of degrees: in a triangle, in a quadrilateral.

Time: Equivalence; s, min; s in 1 min; in min; in t min. Conversion: 12-hour clock times; 21.+--hour clock times. Miscellaneous problems.

Progress Test 2

Progress Test 2 Results Chart

Tests I to 12, covering topics from Sections I and 2 plus the following:

Number: Averages. Approximation to nearest whole, 10, 100, 1000.

Measures: Mass/capacity relationship of water: I kg, 1 l; I g, I ml

Shapes and angles: Radius. Hexagon. Triangles: identification by sides (isosceles, equilateral, scalene). Degrees in a straight angle. Parallelogram.

Time: Timetable; 21.+--hour clock. Days in a year, a leap-year. The calendar.

Area: By counting squares; l x b. Comparison of surface area.

Check-up Tests Number

Money and Time

Measures and Shapes

16

17

18

30

31

32

l+I+

1+6

1+7

Section 1

2

3

4

5

6

7

8

9

10

11

12

ThH TU

(3 x 9) + 6

5 + = 13

9 cm 4 mm=

237p =

80 x 10

Write in words the number shown on the abacus picture.

mm

(18 + 3) - (16 + 4)

3 TENS - 23p

28p + 80p =

6 = FIFTIES

1 h 50 min = min

300 - 175

ANSWER

mm

p

FIFTIES

min

Ell SWER 1 Add four hundred to one thousand

and ten. Answer in figures.

2 Increase 29 by 33.

3 Find the change from a FIFTY after spending 28p.

4 Multiply 0-40 by 8.

5 Write 87 to the nearest 10.

6 Divide 200 by 10.

7 Write as s the sum of 26p, 28p and 50p.

8 27p = FIVES plus 6 TWOS

9 How many tenths in 1 ;?

10 Subtract 36p from 1.

11 How many TWOS have the same value as 4 TENS?

12 Find the cost of one if 10 cost 1.

p

FIVES

p

TWOS

p

4

Test 1

ANSWER

1 2 4 6 8 9

Which of these numbers will not divide into 36 without a remainder?

2 24 + 28 == x + 12 Find the value of x.

3

4

5

6

7

8

9

10

11

12

How much greater is 4 x 7 than 4 + 77

This clock is 14 min slow. Write the correct time using a.m. or p.m.

evening

By how much is the value of 15 TWOS less than the value of 9 FIVES?

If 100 grams of grapes cost 30p how much will 350 grams cost?

(54 + 9) + (6 x 6)

0 7 9 1

Arrange these figures to make the largest possible number.

Find the diameter of each of the circles.

If 2 kg costs 86p, how much will kg cost?

Posts on a motorway are 100 m apart. Find in km the distance between 11 of the posts.

w x v

p

mm

km

Name the two rectangles each of which has three quarters shaded.

El 1

2

3

4

5

6

7

8

9

10

11

12

II 1

2

3

4

5

6

7

8

9

10

11

12

Section 1

ANSWER illlTh H T U Write in words the number shown on

-

--t-h

_

e

_

a_b

-ac

_u

_s

_p

-ic

-tu

_r

_

e

_

.

___ _

180 + 30

600 + 10

98 mm = cm mm

(8 x 8) + 7

204 cm = m cm

240 - 70

4 = TWENTIES

of 25 + ; of 7

22 + 8 + 34

75 min = h min

1 00 p = 53p

Write in figures three thousand one hundred and fourteen.

By how many g is 820 g less than

cm mm

m cm

TWENTIES

h min

p

ANSWER

1 kg? g

Divide 1 metre by 5. Answer in cm.

Find the change from a FIFTY after spending 16p.

Find the cost of one if 10 cost 2.

cm

p

p

How many eighths in 5 whole ones? ____ 8

84p = 7 TENS + TWOS

Find the sum of 024 and 069.

What must be added to 75p to make 1 50?

How many min from 7.47 a.m. to 8.15 a.m.?

One costs 049. Find the cost of 3.

Find the difference between 7 x 9 and 9 x 6.

TWOS

p

min

5

Test 2

1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

Take two thousand and twenty from 2222.

What number other than 1 , 3 and 27 will divide into 27 without leaving a remainder?

w x y z

Which of the triangles is a right-angled triangle and has two equal sides?

One quarter of a class of 32 children wear spectacles. How many children do not wear them?

Which 3 coins are given in change from 2 after spending 1 35?

0,j [;t Write the total mass of the 4 tins in kg and g.

If Jack walks at 6 kilometres per hour, how far will he walk from 8.30 a.m. to 11.00 a.m.?

Find the difference between (7 x 10) and (7 x 100).

Mother bought a box containing 500 straws. If she uses 20 straws each week, for how many weeks will the straws last?

Write the sum of 036, 1 24 and 1 40.

class 1 class 2 class 3 class 4 25 26 25 24

How many children altogether in the 4 classes?

If meat is sold at 2 per kg, how many grams can be bought for

kg

g

km

)1 ) g -----= (b) 50p? (b) g ----

Section 1

1 910 + 90

2 18p + 7p = 1 TWENTY + p

3 15 x 10

4 A FIFTY - 18p

5 (10 x O) + (4 x 8)

6 43 + 47

7

8

9

10

11

400 - 120

1 kg - 250 g

3 = FIVES

1 h 45 min = min

267 = TENS + 7p

12 ( of 42) + ( of 30)

II 1

2

3

4

5

6

7

8

9

10

11

12

Find the total of 29 and 81.

What is the change from a FIFTY after spending 19p and 18p?

Decrease 20 cm by 20 mm.

Multiply 6 by 7 and add 8.

Write 124 mm to the nearest cm.

What sum of money is six times greater than 0 197

068 = 1 FIFTY + TWOS

; kg costs 1 50. What is the cost of 100 g?

How many FIVES are equal to275?

How many times greater is 420 than 42p?

How many days altogether in the 6th and 7th months of the year?

How much change from 4 TWENTIES after buying 8 buttons at 9p each?

ANSWER

p

p

g

FIVES

min

TENS

ANSWER

p

cm

cm

TWOS

p

FIVES

days

p

6

Test 3

1

2

Write this date in figures.only. The twenty-first day of August nineteen eighty-three

ANSWER

z How many more grams must be placed on pan Z to make the scales balance? g

3 (4 x 0) + (1 x 9) + (10 x 1)

4

5

6

7

8

9

10

11

12

2 TWENTIES 6 TENS 9 FIVES 4 TWOS

Katie made this list of the coins she had saved. How much had she altogether ? ----

1 TWENTY and a FIVE were given as change from 2. How much had been spent?

Write the missing signs + , - , x or -;. in place of and . 9 e 4 = 25 5

How much greater

20 mm

is the distance round the rectangle than the distance round the square? mm

If 1 kg costs 1, find the cost of

(a) 100 g

(b) 300 g.

Add three-quarters of 24 to one-seventh of 56.

Samina was born in January but Hassan was born 5 months earlier. In what month was Hassan born?

5 biscuits of equal value cost 40p. What do 3 of the biscuits cost?

I School I 400 m

)I( 600 m

(a)

(b)

Tom Sophie

Tom and Sophie travel from home to school and back once a day. How many km more does Sophie travel in 5 days than Tom?

p

p

p

km

Section 1

El ANSWER 1 485 = tens + 5 units TENS

2 2; kg = g g

3 2000 + 900 + 70 + 6

4 25 cm = mm mm

5 9000 + 10

6 1 00 - 82p p

7 37 + 4 = rem. rem.

8 p - 8p = 5p p

9 3103 + 97

10 2 = TV-./OS TWOS

11 1 litre - 350 mi mt'

12 (9 x 9) + 8

II ANSWER 1 of a number is 8. What

is the number?

2 Subtract 1 27 from 2. p

3 Multiply 208 by 6.

4 Add 6 to the product of 7 and 7.

5 Find the remainder when 71 is divided by 8.

6 28p plus 46p plus p = 1 p

7 Add the odd numbers between 24 and 28.

1 8 Increase 12, cm by 25 mm. cm

9 How many metres in 25 cm x 8? m

10 8 badges cost 64p. What did one cost? p

11 How many years from 1875 to 1985?

12 If one costs 005, find the cost of 100.

7

Test4

B ANSWER 1 Write the time 12 hours after 8 p.m

2

3

4

5

6

7

8

9

10

11

Use a.m. or p.m.

A man walked steadily from 11 a.m. to 2.30 p.m. at 5 kilometres per hour. How far did he walk?

(a) Which of the shapes has two pairs of parallel lines, four sides of equal length and four right

km

angles? ..:...(a-'-) ___ _

(b) Name this shape. (b) -----

Find the change from 3 after spending 1 38 and 022.

If 6 lemons cost 90p what is the

cost of (a) 1 lemon ..:...(a..c...) ___ _,__P

(b) 4 lemons? -'-(b_) __ P

By how many is i of 20 greater 3 than,; of 20?

570 570 of the 3 cans mt mt in and mt'. mf

-

Write the total capacity

-----

In a class of 14 boys and 16 girls 3 children were absent. What fraction of the children were

(a) absent

(b) present? (a)

A boy faces North.

(b)

+ He turns left until he faces East. Through how many right angles does he turn? How many packets of sweets each having a mass of 250 g can be made from a 4;-kg pack?

The distance round a triangle having equal sides is 54 cm. Write the length in mm of each side. mm

12 A packet of biscuits has a mass of 188 g. Write the mass of 10 packets

(a) to the nearest 100 g _(a_) --g

(b) to the nearest kg. _(b-'--) ___ kg

Section 1

1

2

3

4

5

6

7

A FIFTY - 13p

500 =

2 2 - 3

186 cm =

tens

m cm

2200 + 800

167 mm= cm mm

11.16 a.m. to noon = min

8 210 x 10

9 15-6= + 3

10 77p + 25p

11 (5 x 9) + 16

12 (72 + 9) + (0 + 3)

1

2

3

4

5

6

7

8

9

10

11

12

Find the sum of 1 80 and 018.

Subtract 40 mm from 15 cm.

Write in figures three thousand and fifty-nine.

Write in figures the time which is 4 hours after midday.

Use a.m. or p.m.

Multiply 9 by 90.

Add 019 to 236.

Find the difference between 5 and 344.

Write in figures the number which is half of nine thousand.

Find in cm, f6 of a half metre.

What is the product of 5 and 75?

What must be added to 13p and 16p to equal 40p?

Find the cost of one if 10 cost 25.

ANSWER

p

tens

m cm

cm mm

min

ANSWER

cm

cm

p

8

Test 5

1

2

3

4

5

6

7

8

9

ANSWER

Find the cost of 1 kg at.p per kg. p ----

3 TENS Olivia exchanged 14 FIVES these coins for 8 TWOS TWENTIES. How 4 pennies many did she geP TWENTIES -------

How far will a cyclist travel in i hour if he cycles at 18 kilometres per hour?

How many months in a year have 31 days?

A man travelled 400 km in 3 days. On the first day he travelled 130 km and on the second day 228 km. How far did he travel on the third day?

What fraction of the circle is (a) shaded

(b) unshaded? (a) (b)

km

km

----

1 Tape costs 12p per 1 metre. Find the cost of 125 cm.

By how much is 25p divided by 5 less than 25p multiplied by 8?

Sundeep saved 55p each week for 8 weeks. How much short of 5 has he saved?

p

10 Sophie had 45p left after spending 1 08 and 027.

11

How much had she at first?

SILVERSIDE SCHOOL The children were NUMBER BOYS 33 placed in two ON ROLL GIRLS 29 mixed classes

....__ __ _.__ __ __. of equal numbers. How many children were there in each class?

12 Write the missing signs +, - , x or + in place of and"-. 9.5 ... 6= 8

Section 1

1

2

3

4

8000 + + 40 + 8 = 8548

5 weeks = days

420 + 10

1 00 - 28p

5 1030 + 70

6

7

8

9

1 e - 450 me

1 50 = TWENTIES + 2 FIVES

6 + = 9 + 4

63 cm + 38 cm = m cm

10 (7 x 6) + (4 x O)

11 ( of 54) + ( of 12)

12 (4 x 5) + (4 + 5)

1

2

3

4

5

6

7

8

9

Find the difference in cm between 5 m and 465 cm.

How many thirds in 3 whole ones?

Divide 4 20 by 7.

1 Subtract 60 cm from 11 m.

Write in figures the time which is 2! hours after 11 a.m. Use a.m. or p.m.

Find the sum of 048 and 1 54.

070 = 3 TENS + 3 FIVES + p

18p + 18p + 18p + 18p

How many FIFTIES would be exchanged for 9 50?

10 Find the cost of 10 if one costs 25p.

11 Multiply 1 99 by 3.

12 How many biscuits each costing 4p can be bought for 2?

ANSWER

days

p

m

TWENTIES

m cm

ANSWER

cm

p

cm

p

p

FIFTIES

-----

9

Test 6

II 1

2

3

4

5

6

7

8

9

10

11

12

From five thousand subtract nine hundred. Write the answer in figures.

Divide the sum of 4p, 6p, 8p and 1 Op into 4 equal amounts. How much is each amount?

What number must be subtracted from 58 to leave 29?

, How much will 36 cards cost?

18 + 9-x = 10 Find the value of x.

Find the change from 1 after buying 6 pencils at 14p each.

How much greater is 0 72 + 8 than 42p + 6?

l

Find the total cost of 6 tins of tomatoes and 3 tins

.......,_ of tuna.

What is the mass in kg and g of

ANSWER

p

p

p

(a) the 6 tins of tomatoes (a) kg g ------ (b) the 3 tins of tuna? (b) kg g -----

Which of the triangles is

(a) a right-angled triangle (b) an acute-angled triangle (c) an obtuse-angled triangle?

1 7 Take 4 of 100 from 10 of 100.

How many minutes longer is it from 9.10 a.m. to noon than from 1.30 p.m. to 4.00 p.m.?

(a) (b)

(c)

min

Section 1

1

2

3

4

5

6

7

8

9

10

11

12

1 3,: metres = cm

150 + 65p =

1 600 mf = mf

2000 + + 6 = 2036

A FIFTY - 21p

From noon to 4.15 p.m. h min

70 x 100

(9 x 7) + (8 x 5)

4046 + 54

17 - 8 - 4

25 TWOS = TENS

(49 + 7) + (36 + 6)

1 Find the product of 6 and 14.

2

3

4

5

6

7

8

9

10

11

12

How much greater is 5 than 331?

Find the total of the odd numbers between 6 and 12.

How many fifths are equal to eight tenths?

Multiply 12p by 7.

Subtract 200 g from i kg. 4 pencils cost 60p. Find the cost of 1 pencil.

Find the difference in length between 1 m and 135 cm.


How many times smaller is 80 than 8000?

100 cost 400. What is the cost of one?

Write as s the value of 39 FIVES.

ANSWER

cm

mf

p

h min

TENS

ANSWER

p

g

p

cm

cm

p

10

Test 7

1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

Ahmed has 1 56 and Ka.tie has 1 44 . If they share their money equally, how much does each have?

A car travels at 75 km/h. How far will it travel in 4 hours?

Find the cost of 500 g if 200 g cost 40p.

How many times larger than 25 is

km

(a) two hundred and fifty (a) -'-'-----(b) two thousand five hundred? (b) -----

A concert started at 7.15 p.m. The programme lasted for 1 hours. There was also a 10-minute interval. At what time did the concert end?

Write 4 m 45 cm as (a) cm

(b) mm.

(a )

(b)

Find the change from 2 after buying 3i kg at 40p per kg.

Five less than three thousand one hundred. Write the answer in figures.

1 30 35 39 42

How much greater is the sum of the odd numbers in the box than the sum of the even numbers?

Emily has 80p pocket money. She saves and spends the remainder. How much does she (a) save

(b) spend?

9 trays each

(a )

( b )

containing 6 cakes were bought for a party. If 9 cakes were left over, how many had been eaten?

Write all the numbers between 40 and 60 which can be divided by 7 without a remainder.

p.m.

cm

mm

p

p

p

Section 1

1

2

3

4

5

6

7

8

9

10

11

12

2 x 2 x 2

p + 1 28 = 1 50

290 + 120

21 metres = cm

3000 ..,.. 100

10p + 10p + 5p - 14p

110 mm = cm

28 FIVES = TWENTIES

(7 x 6) + (8 x 0)

48 hours = days

a of 27) - ( of 8)

1 Find the change from 2 TWENTIES after spending 23p.

2

3

4

Write 4750 g to the nearest kg.

Find the product of 8 and 65.

How many badges costing 6p each can be bought for 300?

5 How many months in 5 years?

6

1

8

9

10

1 1

1 2

What must be added to 2 52 to make 5?

A 64-cm strip is cut into eight equal pieces. Write the length in mm of one piece.

Multiply 16 by 7.

1 Decrease 54 m by 50 cm. Answer in m.

If 1 costs 9p, find the cost of 100.

Find the difference between (136 + 66) and (10 x 20).

How many TWOS have the same value as 20 FIVES?

ANSWER

p

cm

p

cm

TWENTIES

g

days

ANSWER

p

kg

mm

m

TWOS

1 1

Test a

II 1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

What must be added to 25 cm and 39 cm to make 1 metre?

' ...

What is the number nearest to 60 which will divide by 9 without a remainder?

Find in cm

(a) the width of the rectangle

(b) the length of the rectangle.

A boy cycles at a speed of 9 km per hour. At this rate, how far will he travel in 3 hours?

4 sweets cost 9p. Find the cost of 20 sweets.

(a)

(b )

The distance round the rectangle is 20 cm. If the length is 6 cm, what is the width?

Find the value of n. 13 + 19 = n + 25

morning

This clock is 12 minutes fast. What is the correct time? Use a.m. or p.m.

Mr Brown is 34 years 5 months old and his wife is 33 years 8 months old. How many months older is Mr Brown

cm

cm

cm

km

p

cm

than Mrs Brown? months

A B c What fraction of

9 1 kg is each mass?

A kg B kg

Write these fractions in order of size, the smallest first. ' fa, {

Write the missing signs + , - , x or ..,.. in place of and .A . (5 e 5) A 5 = 20

c

kg

Section 1

1

2

3

4

5

6

7

8

g

10

11

12

240 + 70p =

cm

6p x 100 =

17 mm + 18 mm =

(6 x 8) - (4 x 7)

300 - 218 =

59 ..;.- 6 = rem.

A FIFTY - 12p

4500 m = km

6 ll = quarters

p

24 months = years

cm

11.25 a.m. to 12.15 p.m. =

ANSWER

cm

cm

p

rem.

p

km

years

m1n min -----

II 1

2

3

4

5

6

7

8

g

Subtract 8 from 103.

Write the name of the coin which has the same value as 0 10.

Find six tenths of 80 cm.

By how many cm is 2 m greater than the sum of 80 cm and 90 cm?

Add twenty-five to one thousand and eighty.

Find the cost of one if 10 cost 5- 40.

How many sixths in ?

How many me must be added to 270 me ta make ; litre?

Find the total of 4 m and 2; m.

10 Write 5300 g to the nearest kg.

11 Divide the sum of 19 and 16 by 5.

12 How many FIFTIES can be exchanged for 75 TWOS?

ANSWER

cm

cm

p

me

m

kg

FIFTIES

1 2

Test 9

ANSWER

1

2

3

4

5

6

7

8

9

Subtract (50p x 10) fmr.o (5p x 100).

t1l111!111l111l111l111 l111l111 I 111!111!1111} A B

c ' ' o By how many mm is the line AB longer than the line CD?

Tom has 29 ca rds and James has twice as many. How many have they altogether?

How many bottles each holding 300 me can be filled from a can holding 1 i e ?

Write, in cm, the distance all round this

25 mm

regular hexagon.

How much greater is of 12 than of 12?

A car travels 40 km in 30 minutes. If the car travels at the same speed, how far will it travel in 3 hours?

The diagram shows how the children shared 5. How much did each child have?

Hassan Olivia Ali

p

mm

cm

km

Which 3 coins are given in change from 1 after spending 83p? _P _ __ P _ __ P_

10 If January 27th 1s a Wednesday, what date is the following Wednesday?

11 The scale shows the mass of a bag of nuts.

How much will it cost if the price is 30p for 100 g?

12 By how many is 1 5 times 100 less than 3 times 1 OOO?

f

[

Section 1

1

2

3

4

5

6

7

8

9

10

1 1

1 00 - 14p

15 mm x 10 = cm

1 50 + 260

5450 m = km m

27p x 4 =

of 300 = p

56 FIVES = TWENTIES

5 days = hours

(56 + 7) - (9 + 9)

1 "1 f - 389 mf =

1 m = mm

me

12 (9 x 6) + (10 x 5)

1

2

3

Increase 57 by 35.

Half of a sum of money is 49p. What is the whole amount?

How many 10-cm lengths are there in 5 m?

4 Multiply the sum of 5 and 4 by 8.

5

6

7

How many p in ! of 40p?

7 x y = 98 Find the value of y.

Write the time j h before 12.05 p.m. Use a.m. or p.m.

8 420 minus 80 equals 300 plus

g What is the cost of 8 if one costs 0 19?

10 Find the difference between and t

ANSWER

p

cm

km m

p

1WENTIES

hours

mf

mm

ANSWER

p

p

- - ---

1 1 How much short of 3 m i s 265 cm?

12 Add 3 TENS, 7 F IVES and 6 TWOS.

cm

p

1 3

Test 1 0

II 1

2

3

4

5

6

7

8

9

10

11

ANSWER

From the sum of 24 and 29. ke 13. -----

Arrange the figures 4, 0, 2, 5, to make the largest possible even number.

The distance round a square is 72 cm. What is the length of one side?

Write the next two numbers in this series. 8, 4, 2, 1,

920 m

cm

A -------------- B 680 m

How far is it from C to B?

A boy stands at point x and faces point y. In which direction is he facing?

What is the smallest number into which both 4 and 6 will divide exactly?

A school was opened in 1958. How many years will the school have been open by the year 20207

If 1 litre costs 70p, find the cost of

m

(a) 100 mf (b) 400 mf. (a) p (b) p --

9 TWOS 3 FIVES 7 TENS

Katie had these coins. How much more is needed to make her money up to 1 20?

Write the missing sign + , - , x or + in place of and A . (12 e 3) A 6 = 10

p

12 Which two coins are gi ven in change from 2 after spending 83p and 66p?

__ P __ P

Section 1

1

2

1 m 50 cm + 1 0 = cm

j: kg + 375 g = g

3 7300 7 100

4

5

6

7

8

9

10

11

II 1

2

3

4

5

6

f of16

3 00 - 1 13

450 km - 360 km

247 + 1 63

mm

(7 x 8) - (5 x 6)

25 mm x 8 = cm

10.24 a.m. to 12.10 p.m. h min

Write the name of the coin which has the same value as 002

Write the next two numbers in this series . 49, 42, 35,

Find the total of 236 and 099.

fa of a sum of money is 45. Find the whole amount.

Write in cm the length remaining when 10 cm is reduced by 55 mm.

How many g are there in Yo kg?

7 What is the difference between 42 and 420?

8

9

Six cost 2 16. What is the cost of one?

Write 250 mm as m.

10 Add 2 times 9 to 5 times 9.

11

12

If 5 sweets cost 30p, what will 15 cost?

x y

I n the number 9440, how many times greater is the 4 marked x than the 4 marked y?

ANSWER

cm

g

km

mm

cm

h min

ANSWER

cm

g

p

m

p

14

Test 1 1

1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

In a class library there are. 138 fiction books and 144 non-fiction books. How many books are there altogether?

What fraction of 1 hour is

(a) 20 minutes

(b) 40 minutes?

8 kg 500 g is divided into 10 equal quantities. What does one of the quantities weigh?

(a)

(b)

PAC K OF 4 for 90p

How much will 20 cans cost?

How many hours will it take a car travelling at 70 km/h to travel 280 km?

By how many m is the sum of 870 m and 650 m more than 1 j: km?

Which number when multiplied by itself equals 64?

h

h

g

h

m

,..t .. , ... 1. "'" Jil11 I ,,.1, .. r.,1 .. ,t. 111,1} v z Write the length of a line 100 times longer than the line YZ

(a) in cm (a) cm

(b) in m.

Lucy has three times as much as Daniel who has 45p. How much have they altogether?

(b)

This is a plan of a playground.

m

How many times round it must the children run in order to run 1 km?

If j: kg costs 40p, f ind the cost of (a) 100 g (b) 600 g. (a) p (b) p ----'- .;__;_ _ _,___

x y In the number 6365, what must be added to the 6 marked y to make it equal in value to the 6 marked x?

Section 1

II ANSWER 1 5505 - 500

2 100 x 21

3

4

s

6

7

8

14 cm + 1 5 cm + 1 6 cm

3 x 3 x 3

28p + 25p + 45p =

1046 = TEN5 + 6p

-fu of 1 km = m

8 a. m. to 6 p. m. = h

9 1 ; kg - 600 g = g

10 (5 x 7) + (10 x 8)

11 - 200 me = me

12 (36 + 9) + (100 + 10)

II 1 Find the sum of 73 and 48.

2 Write 1560 mm as m and mm.

cm

TENS

m

h

g

me

ANSWER

m mm

3 Find half of the sum of 12p and 18p. p ----

4

5

6

7

8

What is the product of 4, 5 and 6?

How many eighths are there in 7 whole ones?

Find the cost of 24 articles at 6p each.

What is the remainder when 61 is divided by 9?

How many years are there from 1984 to the year 2020?

9 What number is 101 less than 1 OOO?

10 100 cost 1000. Find the cost of one.

11 Add the numbers between 20 and 35 which can be divided exactly by 8.

12 Find the cost of 3 metres at 16p per m.

p

p

1 5

Test 1 2

B ANSWER 1 Divide the sum of 7 , 11 , 6 a 4 by 7.

2

3

4

s

6

7

8

9

10

11

12

How many 30-cm lengths can be cut from a 3-metre length?

Find the cost of 2 e 250 me if 1 e costs 2.

What must be added to 7 + 9 to equal 7 x 9?

300 pencils cost 18. Find the cost of (a) 100 pencils (b) 10 pencils. (a)

t Through how many right angles does a boy turn when turning from East to West? Daniel goes to bed at 7.45 p .m. and gets up at 7.45 a .m. How many hours is he in bed?

CHESS SET I LIST PRICE 3 60

William bought the chess set at a quarter less than the list price. How much did he pay?

(b)

1 50 cm

1 40 cm

The diagram shows two children's heights. How much taller is Fatima than Amy

h

(a) in cm (a) cm 1 30 cm

Amy (b) in mm? (b) mm

1 20 cm

How many 200-mf bottles can be filled from a can holding 4 n

What is half of 3;?

There are 2055 people in a village. Write the number of people

(a) to the nearest 10 (a) -----(b) to the nearest 100 (b) -----(c) to the nearest 1 OOO. (c) -----

Next work Progress Test 1 on page 16.

Enter the result and the date on the chart.

PROGRESS TEST 1 Write the numbers 1 to 20 down the side of a sheet of paper. Write alongside these numbers the answers only to the following questions. Work as quickly as you can. Time allowed - 10 minutes.

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

170 + 280

a of 45) - (j of 63)

(8 x 8) + (6 x 6)

(450 + 10) - (3500 + 100)

Write in figures nine thousand and sixteen.

0 The diameter of this circle is 1 cm 6 mm. What is the radius of the circle in mm? Add the numbers between 40 and 50 which can be divided by 7 without a remainder.

3 4

2 5"

5 li

3 g

5 TO

25 TOTI

Which of the fractions has the same value as a half?

(fijJ How much more than 1; kg is the total mass of the three boxes?

Which 3 coins are given in change from 2 after spending 60p and 78p?

Find the cost of one pencil if 10 pencils cost 110.

How many minutes are there from 11.17 a.m. to 12.15 p.m.?

+ A boy stands facing West and turns left through 3 right angles. In which direction is he then facing? Find the cost of 300 mf if ; f costs 35p.

If a car travels at a speed of 80 km/h, how far will it travel from 9.30 a.m. to noon?

The diagram represents the 64 cars which passed a school in one hour. How many of the cars were blue?

17 What fraction in its lowest terms is 900 g of 1 kg?

18 Write to the nearest the sum of 380 and 269.

19 Find the cost of 100 buttons if one button costs 8p.

20 [,oc,1

50 TWENTIES

Write as s the total of the contents of the packets.

This page from Mental Arithmetic 3 may be photocopied after purchase for use in the purchaser's teaching establ ishment only. 1 6

Schofield & Sims Ltd

PROGRESS TEST 1 RESULTS CHART You wi l l work Prog ress Test 1 at four d ifferent t imes. When you f i rst work the test

(a) colou r the f i rst colu m n to show the number of exam ples correct out of 20 (b) enter the date.

Each t ime you work the test, enter the resu lt a nd the date i n the marked col umns.

1 st 2 nd 3 rd 4th 20

1 9

1 8

1 7

1 6

1 5 v Cl>

1 4 0 v Ill 1 3 Cl>

E 1 2 Cl> - 1 1 0 Cl>

1 0 E 9

8

7

6

5

4

3

2

0 ..,_ __ ..,_ __ ..,_..,...,....,.

This page from Mental Arithmetic 3 may be photocopied after purchase for use in the purchaser's teaching establ ishment only. 1 7

Schofield & Sims Ltd

Section 2

ANSWER

1 7 + 33 + 9

2 8 14 ..;- 2

3 (19 + 5) - (7 + 8)

4 1 Li m = mm mm

5 1 minute = seconds s

6 9 + 9 + 9 + 9

7 3 tenths TB =

8 34p x 6 =

9 From 1 0. 1 4 a.m. to noon h mm h min

10 1 FIFTY - yp = 1 7p. Find the value of y in pence. p

11 82 = 50 +

12 61 ..;- 8 = rem. rem.

El ANSWER 1 Write in figures nine thousand

seven hundred and nine.

2 There is 69p change from 2. How much has been spent?

3 Write 1 700 g to the nearest kg. kg

4 Divide 294 by 6. p

5 Take 6 plus 5 from the total of 8 and 1 7.

6 How many seconds in (a) min (b) 1 i min? (a) s (b) s

7 Find the sum of the odd numbers between 56 and 60.

8 Which 2 coins must be added to a FIVE and 3 TWOS to make 23p? p __ P

9 Find the cost of 2 kg at 28p per kg. p

10 What must be added to 5 plus 80 to equal 5 multiplied by 80? ----

11 If 2 f cost 48p, find the cost of i t p 12 Find of 84.

18

Test 1

II 1

2

3

4

5

7

8

9

10

11

ANSWER

I I I Write as a decimal fraction

(a) the shaded part (a) - -- --(b) the unshaded part. (b) ----

A plane flew 2400 km at a speed of 800 km/h. How long did the Journey take? h

How many 600-mf bottles can be filled from 6 f ?

George had 1 . He spent 28p on nuts and 42p on bus fares . How much had he left?

The perimeter of this square is 60 mm. Find the length of one side.

Ahmed has 28p and his s ister has 4 times as much. How much have they altogether?

j 1 TWENTY 2 TENS 8 FIVES 1 0 TWOS I

Torn exchanged these coins for FIFTIES.

p

mm

How many FIFTIES did he get7 FIFTIES

The first day of Joshua's holiday was June 29th and he returned to school on August 3rd. For how many days was he on holiday?

Sophie Shahid 1 1 3 2

The d iagram shows how the children shared 420.

Sam

6

Sophie

Shahid

How much did each receive? Sam

The sum of 3 numbers is 94. Two of the numbers are 36 and 3 5 . What is the third number?

How many weeks will it take Chen to save 500 if he saves 25p each week?

12 1 3_6 ___ 5_4 ___ 6_4 ____ 721

Which two of these numbers can be divided by both 4 and 9 without a remainder?

Section 2

ANSWER

1 25 + 5 + 1 6 + 4

2 2009 - 1 0

3 85p x 4 =

4 900 mf + 870 me =

5 1 8 3 = whole ones

6 30 - (7 x 4)

7 2670 m + m = 3 km

8 2 58 + 3

9 ( 1 5 - 6) + (33 - 4)

me

10 1 80 + y = 9. F ind the value of y.

11 Find (a) of 72

12 2 2 + 3 2 =

7 (b) s of 72 .

(a) (b)

me

m

p

II ANSWER 1

2

Write as a decimal fraction 3 5 (a) w (b) Tii

How many h and m i n i n 95 min?

.:._:(a) _ _ (b)

h min

3 Which 3 coins together equal 57p? ____e ____e ____e

4 Subtract 50 from 8000.

5

6

7

8

9

10

11

12

Write 435 cm to the nearest 1 m .

If 1 0 marbles cost 32p, what wi l l be the cost of 40 marbles?

What is the total of seven, twentyn ine and fourteen?

1 kg costs 1 28. What is the cost of 250 g?

9 FIVES plus 6 TWOS

How many g m ust be added to 970 g to make 1 1 kg?

Mu lt iply the sum of 1 6 and 9 by 8 .

Subtract 8 from the product of 9 and 7 .

m

p

p

g

19

Test 2

ANSWER

1

2

3

4

5

A ca r travels at 1 00 km/h . How far wi l l it travel i n 1 5.mi n?

liMI lt11I Write, in 24-hour clock time, the correct time for each d ig ita l clock if

(a) Clock X is 1 8 min fast

(b) Clock Y is 25 min s low.

Find the cost of 61 metres of ribbon at 1 8p per metre .

A t in of fruit has a mass of 4509 . F ind to the nearest kg, the mass of 6 tins.

Which l ine is para l lel to the l ine AB?

km

(a)

(b)

kg

-----

6

7

Jessica bought the fol lowing : carrots 45p, potatoes 65p. How much change d id she get from 27

Which of the ang les w, x, y, z are

(a) obtuse (a)

p

-----(b) acute? (b) -----

8

9

What must be added to one-sixth of 48 to equa l ; of 637

Find the difference between (8 + 8 + 8 + 8) and 8 times 6 .

10 What is a ha lf-share of the sum of 6 FIVES and 8 TWOS?

11 TOMATO PUREE 21 p per t in

* 6 tins for 1 14

How much i s saved per tin by buying 6 tins at a time?

12 50 m i l k straws a re used on each of 5 days in a week. How many weeks wil l 2000 straws last?

p

p

1

2

3

4

s

6

7

8

9

10

11

12

II 1

2

3

4

5

6

7

8

9

10

11

12

Section 2

T U tenths

ill (5 x 6) + 4

80 tenths =

3 = sixths

46 + 64

125 x 4

4 min = s

Write the number shown on the abacus picture as a decimal.

units

(9 + 9) - (4 + 8)

(32 + 4) + (O + 8)

854 + 7

1 12 km - 560 m = m

500 - = 346

ANSWER

s

m

ANSWER

Write as a decimal fraction of a cm (a) 5 mm (b) 8 mm. (a) cm (b) cm

How many h and min from noon to quarter to four in the afternoon? h min

Write 6 m 875 mm to the nearest m. m

.Find the cost of 4i kg at 16p per kg. p ---- Multiply 6 by 6 and divide the answer by 9.

l of a sum of money is 21 p. Find the sum of money.

Find the total of (16 + 9) and (5 x 5).

Find one half of four thousand five hundred. Write the answer in figures.

Subtract the sum of 23p and 28p from 1.

Add the even numbers between 35 and 39.

How many FIVES are equal in value to 7?

Make each of the following 10 times smaller (a) 8 (b) 131. (a) ---

p

p

(b)

20

Test 3

1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

Write the length of the line YZ

(a) in cm and mm (a) cm mm -------(b) in cm. (b) cm -------

Find the difference between 1 3 4 of 0 76 and 4 of 0 76.

How many days altogether in April, May and June?

p

S A L E ALL GOODS REDUCED BY 15p IN THE

How much will be paid for an article which cost 3 before the sale?

Find the sum of money which is 30p less than the sum of 7 TENS and 7 TWOS.

I l 1 3

1 5

5 8

4 6

Which two of the fractions when added together equal one whole one?

The perimeter of a square is 10 cm. Find the length of one side

(a) in cm and mm (a) cm

p

mm -------(b) in cm. (b) cm -------

A shopkeeper wrote 130 kg on an order form instead of 13 kg. By how many kg was the order too much? kg

Write in figures the times shown on the clock faces. Use a.m. or p.m.

(a)

morning evening (b)

In a class of 28 children, there were 4 more girls than boys. How many boys were there in the class?

Cups cost 44p each and saucers half as much. Find the total cost of 6 cups and 6 saucers. -----

Emily and Lucy are twins. For their birthday they were given 3 FIFTIES and 9 TWENTIES which they shared equally. How much did each have?

,

El 1

2

3

4

5

6

7

8

Section 2

7.6 cm + 4 mm = cm

ANSWER

cm

Write as a decimal 1 00 + 1 0 + 1 +

50p - p = 27p

( 1 7 - 8) + ( 1 1 - 7)

1 10 of 1 I' = me

1 0 OOO + 900 + 8

3 34 = quarters

(8 x 3) - (0 x 5)

-----

p

me

9 17p x 7 =

10 Find (a) of 45 (a)

11

12

(b) of 45.

44 ..,. 9 = rem.

15 FIVES + 3 TENS

(b)

rem.

D ANSWER 1 Write as a decimal

(a) 36 tenths (b) 104 tenths. (a) (b) -'-'----

2 By how many is 44 greater than 1 97

3

4

5

6

7

8

9

-----

Write as a vulgar fraction in its km lowest terms (a) 100 m of 1 km (a)

.:....;___ ___ _ (b) 700 m of 1 km (b) km

Find the cost of 20 packs of sweets if 5 packs cost 77p. -----From half-past eight to twenty to ten in the morning = h min h min

From the product of 1 0 and 1 0 subtract 1 3.

Find five-sixths of 54.

How many me must be added to 4i e to make 5 e ?

Make each of the following

me

10 times larger. (a) 0.7 (b) 2.3

10 Multiply 6 1 p by 9. -----

11 Which 3 coins make up 54p? __ P __ P _P_

12 Write the missing signs + , - , x or ..,. in place of and A . 1 4 e 7 = 35 A 5

21

Test 4

II 1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

Find the whole amount of money when (a) is 30p (b) is 40p. (a) p (b) p --

Sophie walked at a steady speed from 1 0 a.m. to 1 2 .30 p.m. She covered a distance of 1 0 km What was her walking speed in km/h? km/h @ The circumference of the

wheel is 1.5 m. How many m will the wheel travel in (a) 1 0 turns (a) m

(b) 1 00 turns? (b) m

It takes Mrs Brown 75 minutes to get to work. At what time must she leave home to arrive at work at 8.30 a.m.?

F M N W X Z

In which of these letters are there two pairs of parallel lines?

(a) How many SOO-me bottles can be filled from 5 e ? (a) -----(b) How many SO-me bottles can be filled from 5 e 7 (b) -----

When a number is divided by 8 the answer is 6 remainder 6. What is the number?

Find the missing numbers in this series. 1.6, 1 .4, 1 .2,

Name (a) the acute-angled triangle (a) -----(b) the right-angled triangle (b) -----(c) the obtuse-angled triangle. (c) -'-'-----

Josh had 1 80 and Leah had half as much as Josh. How much had they altogether?

Find the cost of 90 g of wool at 40p for 20 g.

of 1 2 1 1 of 1 2 1 1 i of 1 2 What is the value of (a) the largest of these amounts (a) -----(b) the smallest of these amounts? (b) -----

Turn back to page 16 and work for the second time Progress Test 1 .


El 1

2

2.9 = tenths

49 + 63

Section 2

ANSWER

tenths

3 6090 ..;- 3

4

5

6

7

8

9

10

11

12

1

2

3

4

5

6

7

8

9

10

11

12

1 x 2 = "T6 Find x.

(8 x 5) + (3 x 7)

10 m - 5.5 m = m

84 - 57

3 km + 300 m = km m

From 10.20 a.m. to 12 .25 p.m. h m1n

3 TWENTIES + 3 FIFTIES

(30 ..;- 5) + (18 ..;- 6)

10 articles cost 1 50. Find the cost of one article.

Write 9 km 700 m to the nearest km.

By how many cm is 2.4 cm less than 6 cm?

What fraction of 42 is 7?

What must be added to 3 66 to make 450?

By how many is 25 minus 6 less than 25 plus 6?

x y 37. 7 How many times greater is the 7 marked x than the 7 marked y?

Increase 2 46 by 1 26.

Find the cost of 20 cm at 200 per m.

Subtract 1 of 24 from of 28.

Write as a vulgar fraction in its lowest terms 900 me of 1 f. Which 3 coins are given in change

m

km m

h min

p

ANSWER

km

cm

p

p

f

from 3 after spending 2 84? _____e _____e _____e

8 Change 10 to hundredths. Too

22

Test 5

II 1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

Find the difference in g between the masses shown by pointers X and Y.

A plane flies at a speed of 900 km/h. How far does it travel in

g

(a) 20 min (b) 10 min? (a) km -'------( b) km

Jg; B

D C

Name two lines in the rhombus which are perpendicular to each other.

After using oil from a can holding 3 e 300 me only 2 e remained. How many me had been used?

Find the total cost of 4 magazines at 2 2 5 each and 3 comics at 1 50 each.

me

-----

070 025 018

Find the change from 2 after paying these amounts.

5 5 c m

6 7 cm

Find the total length of the two lines in mm.

Mr Robb arrived home at 9 . 50 p.rr- . after travelling for 2* hours. At what time did he start his journey?

10 tins of beans have a mass of 3 kg. Find the mass in g of 1 tin.

The bus fare to town is 1 80, and children travel half price. Find the total bus fare for 2 adults and 2 children.

A square has a perimeter of 1 m 60 cm. Find the length of one side in cm.

Lucy spent two-thirds of her savings when she bought a radio for 50. How much had she saved at fi rst?

p

mm

g

cm

1

2

3

4

5

6

7

8

9

Section 2

1 9 .4 cm = mm

(18 + 7) - (6 + 6)

(4 x 1000) + (8 x 100) + (9 x 1 )

400 - 324

ANSWER

mm

p

Write 4 r 500 me to the nearest f. r

1 32 -;- 6 = p

Write ; as a decimal.

1 a b 3 = 12 = T8

120 g + g = i kg

p

(a) TI (b) T8

g

10 9.3 cm + 6.8 cm cm

1 1

12

1

2

3

28 + 25 + = 74

5 articles cost 110. 1 article costs p.

Multiply 4.3 by 10.

1 8 cm divided by 10 = cm.

Write in 24-hour clock time

p

ANSWER

cm

(a) 8.00 a.m. (b) 8.00 p.m. (a) (b) --- ---

4 10 + 2999

5

6

7

8

9

10

11

12

From 4 take the total of 1 40 and 1 65.

3 batteries cost 2 2 5. Find the cost of one battery.

How many 50-cm lengths can be cut from 18 m?

What is the cost of 3 kg 100 g if 1 kg costs 1?

What is the difference in mf between 2 e 700 mf and 2580 mf ?

fa of a sum of money is 2 70. Find the sum of money.

By how many is 82 greater than 72?

p

p

mf

-----

Share 6 equally among 8 children. How much does each child receive? p

23

Test 6

El 1

2

3

4

5

6

7

8

9

10

1 1

12

ANSWER

DERBY 21 km

If a man vyalks at a steady speed of 6 km/h, how long will it take him to walk .___ ___ _, to Derby?

y x 10 = 320 What is the value of y?

Amy's father gave her 28p to make her money up to 3 1 5. How much had Amy at first?

h

N

In which direction must

t (a) Ahmed walk to reach Hassan (a) -----H (b) Hassan walk to assan reach Ahmed? (b) -----1 m of ribbon costs 320. Find the cost of 1} m.

A 2p coin is 1 .8 mm thick. Find the height in mm of a pile of

(a) 10 TvVOS (a)

mm -----(b) 100 TvVOS. (b) mm -----

1 1 5 18 20 24 30

Which of these numbers can be divided by 2, 3 and 5 without a remainder?

Megan received 3 TENS, a FIVE and a TWO in change from 1. How much had she spent?

cm

A B

The line AB is drawn to scale and represents a distance of 2.5 metres. What length is represented by 1 cm?

p

m -----

Find the difference between 4 5 s of 30 and ii of 30.

The mass of three parcels is shown on the dial. If they are of equal mass, write the mass in g of one parcel.

A computer game can be bought for 27 cash or by 20 weekly payments each of 1 50. By how much is the total of the weekly payments greater than the cash price?

g

Section 2

El ANSWER T U t h

1

illl Write as a decimal the number shown on the abacus picture

2 50 - (6 x 7)

3 (19 + 8) - (6 + 7)

4 109 + 68p =

5 Find of 28 kg. kg

6 1 article costs 19p. 5 articles cost p. p

7 33p + p = 2 TWENTIES p

8 1 i kg - 700 g = g g 9 149 + 149 + 149

10 68 + 7 = rem. rem.

11 0.6 + 1.8 + 0.5

12 0.1 m = cm cm

II ANSWER 1 Write fa + ,}a as a decimal fraction. -----2 Multiply 6 by 47.

3

4

5

6

7

8

9

10

11

12

How many cm are there in 1.8 m?

Change these 24-hour clock times to 12-hour clock times. Use a.m. or p.m.

(a) 06.00

(b)19.00

(a)

(b)

cm

Write 6 kg 650 g to the nearest i kg. kg -----=-Subtract 0.03 from a whole one. Write the answer as a decimal fraction.

By how many mm is 10.0 cm greater than 7.9 cm?

Find the cost of 12 sweets if 2 sweets cost 5p.

Find the difference between 30 multiplied by 10 and 30 divided by 10.

By how many g is 5 times 250 g less than 2 kg?

x y 340.4 How many times larger is the 4 marked x than the 4 marked y ?

How much greater is ; than ! ?

mm

g

24

Test 7

Ill 1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

Write as a decimal fracti6rr-the part of the whole square which is (a) shaded (a) .

(b) unshaded. (b)

How much less than 6 is the sum of 1 85 and 3 45? p

If 4; m of string is divided into 25-cm lengths, how many lengths will there be?

How many hundredths are equal in value to (a) 0.4 (a) hundredths

(b) 0.9? (b) hundredths

A motor cyclist travelled for 1 i hours at a speed of 60 km/h. What distance did he travel? km

2 Clock A shows the time. C-o=,H Dan iel left home and

4 clock B shows the time

a . m . p . m . he returned.

How many h and min was he away? h min -----

How many packets each with a mass of 100 g will together have a

1 mass of 3L kg?

By hof many twelfths is greater than 3 ?

Find the change from a 10 note after buying 6 toys costing 1 25 each. -----

Yasmin's father pays ; of the cost of a bicycle. Yasmin pays the remainder. The cost of the bicycle is 70. How much does each pay? Yasmin

Father

200 g of meat costs 80p. Find the cost of 1 i kg.

D -----

The circumference of this circle is approximately 11 cm and the diameter is 3.5 cm. How much longer is the perimeter of the square than the circumference of the circle? cm

Section 2

El ANSWER 1 10.0 + 0.2 + 0.05

2

3

4

5

6

7

8

9

10

1 60 + 4

0.47 = hundredths

(0 x 9) + 8

(42 - 5) + (21 - 4)

250 + 350 + 400 1 20 = hundredths

Find * of 27.

2 1 4 m1n = s

609 + = 800

hundredths

s

11 (81 + 9) - (24 + 3)

12 10 OOO - 100

1

2

3

4

5

6

7

8

10

11

12

ANSWER

Write the total of 20, fo and ,6o as a decimal.

Write in 24-hour clock times

(a) 3.57 a.m.

(b) 2.20 p.m.

(a)

(b)

Write as a decimal the number which is 100 times smaller than 6.

Multiply the sum of 7 and 5 by 10.

From 2 take the total of 58p, 42p and 36p.

Decrease 10 cm by 28 mm. Give the answer in cm.

Write 3 800 me to the nearest f . How many cm in (a) 3.6 m

(b) 2.25 m?

Find the cost of 750 me if "J costs 0 74.

Divide the product of 14 and 9 by 6.

(a)

(b)

I I Arrange these figures 4 Q 9 1 to make the largest ..... _____ _._ possible odd number.

p

cm

e

cm

cm

-----How many hundredths are there in (aH _(a _) __ 10=0

(b) i _(b_) __ 100 (c) ? _(c) ___ 10=0

25

Test a

B ANSWER 1 What decimal fraction of 1 . _is

(a) 1 Op (a)

(b) 1 p?

2

(b)

The sum of the three angles of a triangle is 180 Find the size in degrees of the angle marked x. o

3

4

5

6

7

8

Mr Jones arrived at the station at 3.45 p.m. His train left at 16.20. How long had he to wait?

The dial shows the mass of a parcel in kg and g. How many g less than 3 kg is the mass of the parcel?

After spending one quarter of his money Ali had 54p left. How much had he at first?

Find the total cost of 2 packets of crisps costing 35p each and

6 biscuits costing 1 Op each.

m

min

g

p

-----9 There are 163 boys in a school and there are

37 more girls than boys. How many children are there in the school altogether?

10 Put a decimal point in each of the numbers so that the value of the 8 is 8 units .

(a) 4386

(b) 2891

11 Katie has 1 7p and Emily has 25p.

(a)

(b)

How much must Emily give Katie so that they each have the same amount?

12 of a class of 24 children are girls . (a) What fraction of the class are

boys? (a)

p

-----

(b) How many boys are there? (b) -'---'-----Turn back to page 16 and work for the third time Progress Test 1 .


--Section 2

El ANSWER 1 Write as a decimal fraction

(a) 1 7 hundredths

2

3

4

5

6

(b) 6 hundredths .

(58 + 5) - (4 + 9)

1 3 4 m1n = s

80 + 6 + 8000 +

7 )53

0.4 x 1 00

7 Find 'fu of 80. 8

9

10

11

12

3050 g = kg g

1 00 - 28 TWOS =

7 2 - 62

(7 x 6) + (6 x 3)

28p x 7

= 8286

p

(a)

(b)

s

rem .

kg g

p

ANSWER

1

2

3

4

5

6

7

8

9

10

11

12

Write 4 1 50 mf to the nearest 1 I ' 2 1tre.

The product of two numbers is 56. One of the numbers is 7 . What is the other number?

Increase 23 by 1 8 and mu ltiply the answer by 1 0 .

F ind the d ifference between 1 4 plus 9 and 1 4 minus 9 .

How much less than 1 is the sum of 1 8p and 39p?

Divide the total of 1 9 and 1 7 by 4 .

Write as a decimal fraction of a metre

(a) 20 cm

(b) 3 5 cm .

1 1 . 20 0 . 1 2 1 .02 0 . 2 1

Add the largest of these decimals to the smal lest.

Write as a decimal the number which is 1 0 times smaller than 8 .8 .

Write each of these fractions i n its

(a)

(b)

p

m

m

lowest terms. (a) f2 (b)

Find the cost of 31 kg if 1 kg costs 1 6p. p

Write as decimals the next two numbers in this series. 1 OOO, 1 00, 1 0, 1 ,

26

Test 9

II ANSWER 1 What decimal fraction of 1 is

(a) 1 TWO (a)

2

3

4

5

6

7

8

9

10

1 1

1 2

(b) 1 TWENTY

(c) 1 FI FTY?

(b)

(c)

Ch loe is 1 . 3 5 m ta l l and James is 8 cm smal ler. What is James's he ight i n cm? cm

How many bottles each holding can be f i l led from a cask holdi ng 6; e ?

All the angles at the centre of the circ le are equa l . How many degrees are there i n the marked ang le? 0 -----

How many cm less than m is 0 .62 m?

A supermarket sold one hundred 1 2p p lums a n d twenty 9p p lums . What was the total va lue of the p lums7

cm

-----

Mother uses 50 g of cocoa each day. How many days wi l l it take her to use kg?

How many g Y heavier is box Y

2.s kg than box X?

Date of b i rth

Sanjay 28/2/99

By how rr1a1y months is (aJ Be1 aide than Leah (a) -----

Ben 30/9/97 Leah 30/8/98

(b) Sanjay younger than Lea h (b) -----

Two ang les of a triangle each measure 45 . F ind the size i n degrees of the third ang le .

Amy's T-sh i rt cost 1 2 70 and George's cost 1 1 85 . F ind

0

(a) the d ifference in price (a) p ---- (b) the total cost of the T-shirts. (b) -'---'------

1 cm on a plan represents 1 m. What does 1 mm on the plan represent

(a) in cm (a) cm -----mm (b) i n mm? (b) -'-'-----

1

2

3

4

5

6

Section 2

500 g x 10 = kg

(36 - 7) - (32 - 8)

1000p =

+ 62p = 300

6 rem. 2 9 Jx Find x.

Write 243 hundredths as a decimal.

ANSWER

kg

-----

7 (10 x 5) - (4 x 7)

8

9

10

11

12

1

2

3

4

5

6

7

8

10

1 1

12

1 w of 1 mm = s

of 64 km

10 articles cost 19p. 100 articles cost

612 + y = 6. Find y.

9989 + 12

Write 41 p as

(a) a vulgar fraction of 1

(b) a decimal fraction of 1.

Make each of these numbers 10 times smaller. (a) 29

(b) 1. 7

Write in 24-hour clock time quarter to five in the afternoon.

How much more than a FIFTY is the sum of 8p, 18p and 28p?

s

km

ANSWER

(a)

(b)

(a)

(b)

p

Subtract 9 from the total of 53 and 47.

I of a number is 9. What is the number?

Write these fractions in their lowest

-----

terms. (a) fefo (b) Qi__

What is the change from 5 after spending 1 36 and 240? -----If 10 models cost 5 20, what will be the cost of (a) 1

1 x 5 - 1 00

(b) 7? 1 - _L 5 - 100

Find the value of x and y.

1 f costs 60p. Find the cost of 51 f.

If wool costs 80p for 50 g, what is the cost of kg?

(a) p

(b)

x

y

27

Test 1 0

1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

Find the total of 3.8 ma-'ld 0.5 m (a) in cm (a)

(b) in mm. (b)

Aro- -;-d..,.x---,.-50-,

-, The four angles of any quadrilateral together equal 360 . Find in degrees the size of the angles marked x.

Nadeen saved a FIFTY each week for a whole year.

cm

mm

0

How much did she save altogether? ___ __

M1 LONDON

75 km

I f a tanker travels at a steady speed of 50 km/h how long will it take to reach London?

5.5 0.2 0.55 0.02

Which of these decimals is equal to (a) -Mo (b) 4? (a)

-'-'---

Name the three coins given in change from 4 after spending 3 77.

(b)

h

_P _ __ P __ P

What remains from a 10-metre length of cloth after using 3.3 m and 2.8 m?

Each side of this shape is 0.7 cm long. Find the perimeter of the shape

m

* in cm. cm After spending 49p and 1 36 Amy has 1 5p left. How much had she at first?

What time will be shown on the clock after 47 min?

Use a.m. or p.m. ____ _ morning

Find the difference between 1 1 10 of 7000 and Tii5 of 7000.

A school outing will cost Ryan 1080 . He has made 8 weekly payments of 1 20. How much has he yet to pay1

-1

2

3

4

5

6

7

8

9

10

Section 2

226 + 1 87

5.4 m = m + 140 cm

(35 + 7) x (30 + 6)

3 300 m - i = m 135 min = h min

45p + 29p + p = 1

(8 + 56) - (15 + 9)

0.75 m x 100

(40 + 8) x 7

2 kg 750 g + 900 g = kg

ANSWER

m

e m h min

p

m

g kg g

1 1 ) } km = m (a) m

(b) hm = m (b) m

12 Find of 30 e. e

ANSWER


2

3

4

5

6

7

8

9

10

1 1

1 2

Find the number which is 100 times smaller than (a) 240 (a) ------

(b) 37. (b) -----Write as cm (a) 3.25 m (a) cm -----

cm (b) 4.06 m. (b) ------How many grams more than 1 kg is the sum of 280 g and 270 g?

What must be added to 39 to make 57?

Decrease 43 by 16 and multiply the answer by 10.

From the sum of 1 17 and 1 33

g

subtract 60p.

Find the remainder when 113 is divided by 6 .

Write as a decimal fraction

-----

of a kg (a) 500 g (a) kg -----= (b) 100 g. (b) kg ----

1 pencil costs 9p. Find the cost of 200 pencils . -----What is the perimeter of a rectangle 7 metres long and 61 metres wide? How many newspapers each costing 40p can be bought for 800?

m

28

Test 1 1

II 1

2

3

4

5

6

7

8

9

10

1 1

ANSWER

Find in degrees the measurement of each of the angles a and b.

How many TWOS have the same

a 0

b 0

value as (a) 12 FIVES (a) ------(b) 3 FIFT IES? (b) -----

Write all the numbers between 48 and 68 which can be divided by 7 without a remainder. 10 boxes have a mass of 11 kg. Find the mass in g of (a) 1 box (a) g -----=

(b) 5 boxes. (b) g ---- B rotley Carley

45 km

A cyclist started from Brotley at 11.30 a.m. and arrived at Carley at 2.30 p.m. If he travelled at the same rate, what was his speed in km/h? km/h Katie's mother gave her 1 45 to add to her savings and her father gave her 270. She then had 5. How much had she at first?

LIST PRICE 18

Radios are reduced by 10p in the off the list price. What is the

------ new price?

p

-----There are 1 86 pages 1n a book . Tom read 64 pages and then 56 pages. How many more pages ras he to read?

1 , 0.0 1.04 1.96 1.11 0.99 I

Multiply the largest of these numbers by the smallest. In a class of 32 children ! of them are 10 years old, i are 9 and the rest are 8 years old. (a) What fraction of the children

are 8? (a) -----(b) How many children are 8? (b) -----The circumference of a wheel is 1.85 m. Find in m the distance the wheel will travel in (a) 10 turns (a) m

(b) 100 turns. (b) m

12 3 kg of meat cost 1 800 . Find the cost of (a) 500 g (a) ------

(b) 750 g. (b) -----Turn back to page 16 and work for the fourth time Progress Test 1 .


Section 2

1

2

3

4

5

6

7

8

290 cm = m

(82 -4) + (18 - 9)

(17 x 3) + 6 28 T = whole ones

1 article costs 007. 100 articles cost

346 + 78 1 10 of 9 km = m

5 )1010

9 2 00 - 25 FIVES

10 102 - 92

ANSWER

m

m

p

11 Write 884 (a) to the nearest 1 Op (a) -'-'-----(b) to the nearest . (b)

12 1000 ..,.. 8

1 Write as and m

(a) 3457 m

2

(b) 4070 m.

Find the difference between (15 + 15 + 15) and (4 x 15).

52 plus 70 minus 32

(a)

(b)

3

4

5

6

Divide the total of 29 and 27 by 8.

Subtract 6 times 14p from 1.

How much greater is

7

7 multiplied by 9 than 7 plus 9?

Find in cm the perimeter of a triangle having equal sides each measuring 48 mm.

How many h and min from

-----

ANSWER

m

m

p

cm

8 11.40 to 18.1 O? h min

9

10

Write as a decimal fraction (a) 1 (b) t

l o.3 0.15 0.09 1 . 1 0.99 1 Add the smallest of these decimals to the largest.

11 If 10 cost 2 70, what is the cost of 17

12 Find the cost of 300 g if kg costs 30p.

(a)

(b)

p

p

29

Test 1 2

Ill 1

2

3

4

6

7

8

9

10

11

12

1 765 884

How many ;mall SRuares are there in i6 of this diagram?

Which of these numbers will divide by 2 , 5 and 10 without a remainder?

By putting in a decimal point make

ANSWER

-----

-----

(a) the 5 in 2056 equal to 5 tenths (a) -----(b) the 7 in 1870 equal to 7 hundredths. (b) -----A 1 p coin has a mass of 3.56 grams. Find the mass of (a) 100 coins (a) g ----

(b) 50 coins. (b) g ---- of a sum of money is 110. What is the whole amount?

How many bottles each holding 150 m can be filled from a can holding 1 e ?

This is a sketch map of a park. What is the perimeter of the park in km?

km

1 3 73 3 54 337 336 3 63 1

Which two of these amounts when added together equal 7?

Sophie and Olivia shared 60p so that Olivia had 1 Op more than Soph ie. How much did Sophie have?

the circle which 1s

) shaded )

p @ Write as a decimal fracfon the part_ of

-----(b) unshaded. (b) -----

The length of a steel rod is 1. 75 m. Write the length of a rod 4 times as long. ----m

PET FOOD

LARGE TINS (340 g) 67p EACH SMALL TINS (1 70 g) 1 0 for 3 50

How much is saved when buying 10 large tins rather than 20 small tins? p ----

Next work Progress Test 2 on page 30.


PROGRESS TEST 2 Write the numbers 1 to 20 down the side of a sheet of paper. Write alongside these numbers the answers only to the following questions. Work as quickly as you can. Time allowed - 10 minutes.

1

2

3

Write the sum of 044, 056 and 1 55 to the nearest TEN.

The circle is divided into three equal parts. How many degrees are there in the angle marked at the centre?

A car travelled for 15 minutes at a speed of 48 km/h. What distance did it travel?

4 The circumference of a wheel is 1.25 m. How many m will it travel in 10 turns?

5 Make 306 one hundred times smaller.

6 Write as a decimal the total of 20, ih and ,fu. 7 Subtract of 27 from of 45.

8

Clock A is 10 minutes fast. How many minutes slow is clock B?

9 By how many m is 648 m less than km?

10 Write the decimal fraction which is half-way between 0.4 and 0.38.

11 I 8 g g g 4 I This reading is taken from a dial in a car. It shows the number of km travelled. What will be the reading after travelling a further 700 m?

12 If one article costs 044 what will be the cost of 100?

13 Find the cost of 4 kg at 40p per kg.

14 By how many sixths is less than ?

15 Which 3 coins were given in change from 3 after spending 1 28 and 1 56?

16 3 litres + 900 mf' + 600 mf' =

17

Which of these 24-hour clock times is nearest to twenty to seven in the evening?

18 How many g more than kg is the sum of 334 g and 286 g?

19 50 cm of tape cost 28p. Find the cost of 1.25 m.

20 Find in cm the perimeter of the shaded shape.

This page from Mental Arithmetic 3 may be photocopied after purchase for use in the purchaser's teaching establishment only. 30

Schofield & S ims Ltd

r

PROGRESS TEST 2 RESULTS CHART You wi l l work Prog ress Test 2 at four d ifferent t imes. When you fi rst work the test

(a) colour the f i rst col umn to show the number of examples correct out of 20 (b) enter the date.

Each t ime you work the test, enter the resu lt and the date in the marked col umns.

1 st 2nd 3 rd 4th 20

1 9

1 8

1 7

1 6

1 5 v CV

1 4 0 v Ill 1 3 CV

E 1 2

...... 1 1 0 CV

1 0 E

9

8

7

6

5

4

3

2

0 ......... _..,.._....,_-!

This page from Mental Arithmetic 3 may be photocopied after purchase for use in the purchaser's teach ing estab l ishment only. 31

Schofield & S ims Ltd

1

2

3

4

5

6

7

8

9

10

11

12

1

2

3

4

5

6

7

8

9

10

11

12

Section 3

Th H T U

How many less than six thousand is the number shown on the abacus picture?

ANSWER

-----4 km 720 m = m

35p x 10 =

f - 340 m = mf

50p + 50p + 50p + 35p =

23 + 9 + 18

2 h 25 min = min

570 = TENS

1hg - g = 650 g

32.4 cm = mm

1 of 8 f

Write in figures: four thousand two hundred and four.

Subtract 049 from 1 00.

Find the average of 6, 8 and 10.

What is the cost of 8 pencils at 2 for 17p?

50 cm is cut off a 3.5-m roll of ribbon. How many metres are left?

Divide 1 28 by 8.

Change to 24-hour clock times (a) 11.55 a m.

(b) 1.40 p.m.

Subtract j of 30p from of 30p.

How many mf in 0.5 e ?

12 24 33 18

Which of these numbers can be divided by 2, 3, 6 and 9 without a remainder?

What fraction, in its lowest terms, is 400 m of 1 km?

Find the difference between 0.3 and 0.03

(a )

(b)

m

mf

min

TENS

g

mm

f

ANSWER

p

p

m

p

p

me

32

Test 1

II

1

2

3

ANSWER

How much change from 1 00 after buying 8 labels at 9p each?'

A

s Bc

Angle ABC is a right angle. How many degrees are there in the angle marked y ?

Tom had 40 marbles. f--le lost 1 6 and then won 24 . How many marbles had he then?

p

0

4 1 1 1 1 1 1 1

5

6

7

8

9

10

11

12

What fraction of this strip is (a) shaded

(b) unshaded? (a )

Write these times in figures using a.m. or p.m.

(a) 2 hours after 10.00 a.m. (a)

(b)

-----(b) 7 hours after 7 .00 pm (b) -'---'------

Find, to the nearest km, the total distance

,s .7rn Bistow --....._

Bant Crock

from Bant to Crock.

James saved 1 25 each week for 8 weeks. How much did he save?

How many g less than 4 kg is the total mass of 10 parcels each having a mass of 345 g7

ma rbles

Large Small 6p 4p

each each

Find the total cost of 6 large marbles and 6 small marbles.

A car travelled at an average speed of 90 km/h for 1 hours. What distance did it travel?

(a) the largest area

(b) the smallest area.

v w 8 0 8 0

(a )

(b)

How many times larger is the 8 marked V than the 8 marked W?

km

g

km

1

2

3

4

5

6

7

8

9

10

11

12

Section 3

8 + 7000 + = 7808

600 - 1 95 =

46 x 6

7 rm- Find the value of x. 85p + p = 1 15

5 kg 60 g = g

7 cm - 1 .5 cm =

900 -;- 100 =

mm

p

2.75 m = m cm

of 35 kg

200 min = h

1 4 kg + 130 g +

min

g = 1 kg

ANSWER

p

g

mm

p

m cm

kg

h min

g

ANSWER

1 Divide the sum of 53 and 65 by 2.

2

3

4

5

6

7

8

9

10

1 1

12

The change from 200 was 43p. How much had been spent?

Find the product of 8 and 8.

10 gift cards cost 1 20. Find the cost of 1 card.

Write the next two numbers of this series.

I 0.2 0.4 0.6 0.8

From 360 subtract the sum of two right angles.

How many km and m are equal to 1560 m? km

p

0

m ------Write 9 to the nearest whole number.

Change to 12-hour clock times. Use a.m. or p.m. (a) 15.45 (a) ------

(b) 00.15 (b) --'---'-----

How many whole ones are equal to 36 quarters?

How many tens have the same value as 5010?

The sum of two numbers is 17. The difference between them is 1. What are the two numbers?

33

Test 2

I.I 1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

Find the change from 5 pfter spending 1 33 and 257"."

A car travelled 240 km in 3 hours. What was the average speed in km/h? km/h

Find the average mass of the three boxes.

Grapes cost 3 60 per kg. What is the cost of 2 kg 500 g?

kg

:t.re

;:r

nd

1 1 JH1 1 1 1 N I I wh 1ch a re equal in L.J.....&....1,...a....L.J...J,....L.....L.J1.....1...1.-L.J...1....L-L...L..LI area. Name the two shapes. ----

Josh had 1 50 stamps. He put 1 5 stamps on each of 8 pages in his album. How many stamps had he left?

morning

This clock is 15 minutes fast. Write the correct time in figures using a.m. or p.m.

A pack of 4 tins of ham can be bought for 5 12. Find the cost of 1 tin.

At a football match there were 12 498 spectators. Write the number of spectators

("!) to the nearest hundred (a) -----(b) to the nearest thousand. (b) ---'-----

These angles are equal.

(a) How many right angles are equal to the sum of the five angles? (a) -----

(b) How many degrees are there in each of the five angles? (b) 0 -----

Share 80p between Ali and Katie so that Ali has 20p more than Katie.

Ali p Katie ---p

There were 2.5 e of milk for 4 children. 100 me were spilt and the remainder was divided equally. What was one share? me

Section 3

1

2

3

4

5

6

7

8

9999 + 9

25 + 26 = 1 1 +

368 cm = m

1 1 7 x 7

p x 1 0 = 1 40

1 1 2 + li

6) 4 02

5 . 7 f = mf

9 4 weeks = days

10 3 . 2 1 x 1 00

11 x 7 = 37 - 9

12 1 . 7 cm + 4 .5 cm = mm

II 1

2

3

4

5

6

7

8

9

1 84 x 1 0 . Write the answer to the nearest .

Take two hundred from 22 222.

Write 600 m as a decimal fraction of 1 km .

How many t imes larger is 2 50 than 25p?

Divide 9 1 2 by 4.

Write as a decimal fraction the d ifference between 0. 1 and a half .

How many days a ltogether i n April and May?

Write the next two numbers in this series . 8 .0, 8 . 5, 9 .0, 9 .5 ,

By how many cm i s -rtJ m longer 1 than 1 00 m?

ANSWER

m

p

mf

mm

ANSWER

km

cm

10 200 mf cost 1 5p. Find the cost of 1 f. p ----

11

12

Find the difference i n g between 1 . 7 kg and 2 . 5 kg .

Write the missing signs + , - , x or -c- in place of and A . 6 3 = 9 6 9

g

34

Test 3

1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

Th H T U How many must be added to the number shown on the abacus picture to make four thousand7 -----

How long wi l l it take a truck travel l ing at a n average speed of 60 km/h to travel a d istance of 360 km?

How many right ang les are equal to the sum of the three ang es of a triang le?

Katie wrote ari answer of 0 60 instead of 0 06 . By how many pence was her answer wrong7

--6-cm __

)I F ind (a) the a rea (b) the perimeter of the rectangle . In each

h

p

case g ive the un it of measurement. _(a_) ___ _

In a school d in ing room there were 25 tables each set with 6 places . 1 1 of the places were not used . How many stayed for d inner?

(b)

The diagram shows the time a boy spends at home and at school . What fraction of his t ime does he spend

(a) at home (b) at school? (a) (b) -- --

I n Ja mes rrioriey box there were 30 TWE f\JI ES and twice as many TENS . How much was that a ltogether? 0 Write the mass shown

by the pointer

(a) in kg and g (a) kg g

(b) in kg as a dec1ma . (b) kg

In a school of 57 chi ldren, there is a smal l class of 9 chi ldren and two classes of equal numbers . How many chi ldren a re there in each of the larger classes?

How many mf more does a can conta in ing 2 . 5 f hold than the total contents of two cans each holding 850 mf ?

SWEETS I 1 2p each or 1 0 for 1 1 0

How much is saved on each sweet by buying 1 0 at a time?

mf

p

..

1

2

3

4

5

6

7

8

9

10

11

12

1

2

3

4

5

6

7

8

Section 3

ANSWER

270 mf + 300 mf

1 0 OOO - 1 00

4.93 m =

7 To of 1 =

3.93 + 0.07

6.06 = 1 00

cm

p

0.7 kg + 0.4 kg =

1

2 =

91 1 1 3 - 6

1 30 .;.. = 1 0p

kg g

From 1 1_.25 a.m. to 1 2.45 p.m. min.

1 kg 700 g x 5 = kg

mf

cm

p

kg g

min

kg

ANSWER

Write as a decimal (a) 3,1n (a) ------'-------(b) 4. (b) -'--'-----

How many FIVES must be added to 5 FIFTIES to make 280?


Which two of these fractions are of equal value? 2 1 4 4 3 3 4 s 6 4

1 } f of a 2-f can are used. How many mf are left?

The average of 3 numbers is 9. What is the total of the three numbers?

How many years from 1 985 to the year 2000?

Josh has completed 4.4 km of a 5-km journey.

cm

mf

m How many metres has he still to travel ? - ----

9 Multiply 1 .8 by 5.

10

11

12

How many times shorter is 1 5 cm than 1 .5 m?

2 biscuits cost 1 5p. Find the cost of half a dozen.

A square has sides each 9 cm long. What is the area of the square? Give the unit of measurement.

- -- --- --

p

35

Test 4

II ANSWER 1 Afte1 losing 25 marbles, .L!_!cy had 9

blue and 8 red ones left.

2

3

How many had she at first7

of this rectangle is shaded. What fraction is unshaded?

To pay for two pens costing 75p and 85p Mandeep gave the shopkeeper two 1 coins and a TEN. What coin did he receive in changei p -----'--

4

5

6

7

8

9

10

11

,111,111I11111111111 I 11111 11li1 lr 11111111 { y :

2 ------------------....i

The ruler is marked in mm. Write, in cm, the length of each line Y and Z.

James had 400 spending money. He spent 80p each day. For how many days did his money last?

y

z

How many grams must be added to the scale pan to make 4 kg?

Josh's holiday is from the 1 8th January until the 1 3th February inclusive of both dates. How many days is that?

Find the average number of dots in

1-.;:....;;_;;....:;--.....1 a row. Mrs Jones travelled on a motorway from 1 1 .00 a.m. to 1 2. 1 5 p.m. Her average speed was 100 km/h. What distance did she travel?

How many degrees are there in the angle marked y ?

How much change from 5 after buying 8 tins of fruit at 55p each?

12 How far is it round a rectangular playground which is 75 m long and 60 m wide?

Turn back to page 30 and work for the second time Progress Test 2.


cm

cm

g

km

p

m

Section 3

El ANSWER 1

2

3

4

5

6

7

8

2.9 = tenths

407 = p

3 h 50 min = min

24p x 5 =

7 x = 43 - 8

76p + 5 FIVES =

(1000 x 10) + (100 x 5) + (10 x 7)

5.08 m = cm

9 Find ! of 3}

10 0.6 kg - g = 340 g

11 3i f = f mf

12 11 p x 100 =

tenths

p

min

cm

g

mf

II ANSWER 1 Find the missing number in this series .

1, 10, 100, , 10 OOO


3

4

5

6

7

8

9

10

11

12

How many times greater than 0.1 is 1 O?

What distance in km and m is twice as long as 4.8 km? km m -----

Divide 52p exactly by 4. p

Find the difference in pence between 15 TENS and 40 FIVES. p

A journey of 7 km cost 91 p. How much was the charge per km?

Write to the nearest ! kg

p

(a) 1 kg 620 g (a) kg -----"' (b) 2 kg 390 g. (b) kg -----=-

Find the area of a rectangle 7 cm long and 3 cm wide. Give the unit of measurement.

By how many pence is of 3 greater than of 3?

58 cm divided by 10 = mm.

Write as a decimal fraction of a kg the sum of :t kg and 450 g.

p

mm

kg

36

Test 5

1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

T U t What decimal fraction must be added to the number shown on the abacus picture to equal 50?

What fraction of 28 kg is (a) 7 kg (b) 4 kg?

I 1 816193 I By how many months . . 1s 18 February 1994 later

than the given date? months

Write a quarter of a metre

(a) in cm (a) cm

(b) as a decimal fraction of a metre. (b) m

X Find the length of the line XY in mm. mm

8 The radius of this y circle is 0.9 cm.

-----5 6

5 7

5 8

5 9

5 To

Which of these fractions is

(a) the largest (b) the smallest? (a) (b) -- --A cyclist travelled 72 km in 3 hours. What was his average speed in km/h? km/h

The perimeter of this regular hexagon is 7.2 cm. Find the length of one side

(a) in cm (a) cm

(b) in mm. (b) mm

PRICE mass 1 00g 1 50g 200g 250g

CHART cost 1 8p x 36p y

Find the value in pence of x and y.

How many degrees are there in the angle marked x ?

300g

54p

0 -----x

Amounts spent

Tom 1 Op Katie 20p Salma 40p Daniel 30p

Find the average amount spent by the children.

Daniel takes four 5-mf spoonfuls of medicine each day.

p

For how many days will 0.2 f last him? days ----'-

Section 3

ANSWER

1 + 6 + 9000 + 400 = 9456

2 = hundredths

3 405 - 50p = -----

4 24 + 24 + 24 + 24 + 24 + 24 + 24 -----

5 1 f 600 mf + 8 = mf me

6 360 + 10 = p p

7

8

9

9.6 cm - 15 mm = mm

3 10 = 3 FIFTIES + TWENTIES

102 - 52

10 8 km - 1 700 m = km

11 hg - 260 g = g

12 ; of 63

II 1

2

3

4

5

6

7

8

9

10

How many times greater is 8 than 8p?

Find the diameter of a circle the radius of which is (a) 5.5 cm

(b) 46 mm.

Reduce 125 by 99.

How many hundreds are there in 10 OOO?

Multiply 55p by 10.

How many hours in 3 days?

Write in s the total of 7 FIVES, 4 TENS and 9 TWOS.

500 g cost 28p. Find the cost of 1 i' kg.

Multiply 9.5 cm by 100. Write the answer in m.

Write the sum of 4{u and 3fu as a decimal.

11 ! of a number is 9.

12

What is the number?

A 4-m length of ribbon is cut into 5 equal pieces. Find the length in cm of one piece.

--- - ---

mm

TWENTIES

km

g

ANSWER

(a) cm

(b) mm

p

m

cm

37

Test 6

1

2

3

4

5

6

7

8

9

10

11

12

ANSWER

How much change from a FI_FTY after buying 4 badges at 9p each?

Write as a de

Documents

KS2 Mental Arithmetic 3 Schofield & Sims