year 4 maths worksheets

1

Year Four Worksheets

200 Maths Worksheets

For Ages 8-9 years

Includes: Addition

Subtraction

Multiplication

Division

Multiplication Tables

Calculator Skills

Fractions and Decimals

Ratio and Proportion

Money

Shape

Data handling

Measuring

Number Problems

Answers are incuded

© C Diamond – Not for resale

2

Contents

Page

1. Place, value and ordering 3

2. Addition 14

3. Subtraction 31

4. Money 43

5. How are you doing? 1 50

6. Multiplication 51

7. Multiplication Tables 68

8. Division 76

9. Multiplication and Division 89


11. Fractions and Decimals 98

12. Ratio and Proportion 121

13. Calculator Skills 125

14. Measuring 129


16. Time 147

17. Shape 151

18. Data handling 172

19. Number Problems 189


Answers 203

3

Place, value and ordering 1

Write the next number.

1. 1470 2. 2680

3. 2461 4. 9605

5. 9849 6. 1786

7. 8609 8. 2518

Write these numbers in words.

9. 1637_________________________________

__________________________________________

10. 8294_________________________________

__________________________________________

11. Write these numbers in ascending order.

2885 2794 2898 2749 2709

__________________________________________

__________________________________________

12. Write these numbers in descending order.

5619 5723 5732 5766 5629

__________________________________________

__________________________________________

1471

4

Place, value and ordering 2 Write the number that each blue digit represents.

1. 1482 2. 3091

3. 3382 4. 8315

5. 7298 6. 2801

7. 7483 8. 9362

Rounding the red number to the nearest 10.

9.

a. b. c. d. e.

10.

a. b. c. d. e.

11.

a. b. c. d. e.

400

80 10 20 30 40 50 60 70

a. 18 b. 32 c. 47 d. 54 e. 79

20

440 300 320 340 360 380 400 420

a. 309 b. 333 c. 357 d. 375 e. 428

790 650 670 690 710 730 750 770

a. 655 b. 688 c. 714 d. 751 e. 786

5


Complete the number sequences.

1. 5, 7, 9, 11, , , , , ,

2. 20, 24, 28, , , , , ,

3. 57, 59, 61, , , , , ,

4. 35, 39, 43, , , , , ,

Practice counting in 50s. Fill in the missing numbers.

5.

6.

7.

8.

Practice counting in 25s. Fill in the missing numbers.

9.

10.

11.

12.

17

300

+ 50

350

400

50

+ 50

100

750

- 50

700

400

- 50

100

+ 25

125

150

175

350

+ 25

425

-25

550

- 25

6


Complete the number sequences.

1. 4, 8, 12, , , , , ,

2. 15, 18, 21, , , , , ,

3. 10, , , , , , ,

4. -50,-45,-40, , , , , ,

5. -8, , , , , , ,

6. 6, 12 , 18, , , , , ,

7. 30, , , , , , ,

8. -20,-15,-10, , , , , ,

9. 0, , , , , , ,

10. -125,-100, , , , , ,

11. 75, 50, , , , , ,

12. -50, , , , , , ,

13. -200,-150 , , , , , ,

14. 400, 300 , , , , , ,

20 30

10 0

50 75

0

0

50

50

0

0 2

0

7


Sort these numbers into odd and even sets.

56 67 23 123 200 42 96 11 6 371 945 566

odd even

Are these questions true or false?

1. An odd number plus an even number is odd.

2. An even number plus an even number is even.

3. The sum of two odd numbers is odd.

4. Even plus even plus even is odd.

5. Odd plus odd plus odd is odd.

6. The numbers on both sides of odd numbers

are even.

7. After 1 every second number is odd.

8. The unit digits of even numbers are 0,2,4,6,8.

true

8


We use positive numbers such as 2, 5, 19 most of the

time. Sometimes we need negative numbers such as

-3,-5,- 11. We use negative numbers when we measure

cold temperatures with a thermometer.

This thermometer shows

This thermometer shows -3 ºC. ºC means degrees Celsius.

It is a measurement of temperature.

At 0 ºC water freezes.

Carefully read the temperatures on the thermometers.

1.

2.

3.

4.

___________________________________________________________

- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

0

___________________________________________________________

- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 ºC

___________________________________________________________

- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 ºC

___________________________________________________________

- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 ºC

___________________________________________________________

- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 ºC

9


Look at the thermometers and answer the questions.

1. If the thermometer drops by 4º then rises by 2º, what

will the temperature be?

2. If the thermometer drops by 4º then drops by 3º,

what will the temperature be?

3. If the thermometer rises by 3º then rises by 5º, what


4. If the thermometer rises by 3º then drops by 6º, what


___________________________________________________________

- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

0 ºC

___________________________________________________________

- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

0 ºC

___________________________________________________________

- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

0 ºC

___________________________________________________________

- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

0 ºC

10


Fill in the missing numbers.

1.

2.

3.

4.

Work out these calculations.

5. -8 + 5 - 3 = 6. - 5 - 3 - 4 =

7. -6 - 5 + 4 = 8. - 9 + 3 - 2 =

9. 4 - 7 - 6 = 10. - 8 + 9 - 3 =

80 -60 -40 0 40

-150 -75 0 100

-30 -20 0 15

-66 -44 0 44 -11 11

11


Write ˃,˂ or = between the numbers.

1. 8 12 2. 15 12

3. 50 40 4. 600 800

5. 67 76 6. 51 52

7. 499 499 8. 1500 1200

9. 627 726 10. 8941 8841

11. 672 762 12. 1110 1011

13. 8+7 7+6 14. 6+9 5+10

15. 9+9 6+13 16. 16+9 12+20

˃

greater than

˂

less than

=

equals

12


Write these numbers in order from smallest to largest.

1. 5635 6356 3565 5356 3655

______________________________________________

2. 4023 2340 4032 2043 2430

______________________________________________

3. 8030 8300 8003 3800 3080

______________________________________________

Write ˃ or ˂ between the numbers.

4. 230 203 5. 105 150

6. 789 897 7. 634 643

8. 314 311 9. 501 499

10. 1499 1949 11. 7864 7648

12. 1237 1723 13. 2931 2913

14. 3404 3440 15. 1710 1701

16. 9897 9978 17. 3624 3642

13


Write the decimal to one place that comes after these

numbers.

1. 7·2 2. 2·7

3. 3·1 4. 9·5

5. 6·9 6. 1·0

7. 8·6 8. 9·9

Order each set of decimals from smallest to largest.

9. 4·23 4·67 4·76 4·32 4·03

____________________________________________

10. 8·18 1·88 8·81 1·08 8·01

_____________________________________________

11. 6 5·99 9·59 5·95 6·95

_____________________________________________

What is the nearest whole number to these decimals?

12. 7·34 13. 2·96

14. 30·1 15. 7·52

16. 6·93 17. 1·29

18. 45·5 19. 2·09

7·3

14

Addition 1

Work out the calculations using a double that you know

to help you.

1. =

2. =

3. =

4. =

5. =

6. =

7. =

8. =

9. =

10. =

11. =

12. =

13. =

14. =

8 + 7 7 + 7 = 14 14 + 1 = 15

12 + 13

15 + 16

22 + 23

43 + 42

34 + 35

29 + 30

64 + 63

42 + 44

88 + 85

64 + 67

73 + 77

86 + 89

62 + 66

15

Addition 2

Use an empty number line to add up two numbers. Fill in

the missing numbers.

1. 74 + 57 = 74 + 6 + 50 + 1 = +6 + 50 +1

74 80 130 131

2. 17 + 29 = 17 + 3 + 20 + 9 = + + 20 +6

17 20

3. 35 + 67 =35 + 5 + 60 + 2 = + + 60 +2

35 40 4. 48 + 33 = 48 + 30 + = + + 30 +1

48 50 5. 46 + 55 = + + 50 +

46 4

16

Addition 3 Use an empty number line work out these calculations.

1. 57 + 45 = 57 + 3 + 40 + 2 = +3 + 40 +2

57 60 100

2. 68 + 83 = =

3. 146 + 57 = =

4. 145 +183 = =

5. 116 + 125 = =

17

Addition 4 Use an empty number line work out these calculations.

1. 326 + 149 = 74 + 6 + 50 + 1 = +4 + 140 +5

326 330 470

2. 274 + 103 = =

3. 145 + 143 = =

4. 348 +296 = =

5. 516 + 265 = =

18

1. 2 8

+ 1

2

6

3

9 u n i t s

n s 9

h u n d r e d s

9 9 2

Addition 5

Copy these calculations vertically. Write the answer on

one line then write out the hundreds, tens and units you

have added.

2. 105 + 73 3. 626 + 42 4. 306 + 493

9

1 3

8 6

+

2

9

t e 0

2 0 0

19

6 1. 2

+ 2 7

0 8

3. 2. 4.

3 3

7 4 8 5

9 4 +

9 2

7 3 +

9

9 8

Addition 6

Work out these calculations vertically.

Copy these calculations vertically on the squares below.

Write the digits in the correct columns.

5. 49 + 34 6. 68 + 56 7. 86 + 44

8. 74 + 28 9. 83 + 51 10. 85 + 36

+

20

1. 6 2

+

8

2 7

1

3. 2.

3 3

7 4 3

8

5 9 2

7 3

9

9

9 0 1

1

Addition 7


1



4. 249 + 33 5. 268 + 56 6. 326 + 44

8. 234 + 128 9. 543 + 151 10. 485 + 236

+

0 8

1

0

0

+

21

1. 5 3

+ 3 8

1

1

8

3. 2. 4.

3 4

5 7

+

8 2

9 1 +

9 4

8 3 +

4

Addition 8




5. 79 + 43 6. 48 + 46 7. 56 + 64

8. 84 + 68 9. 73 + 87 10. 85 + 97

22

1. 7 9

+ 6 4

3 4

3. 2. 4.

5 9

6 3

+

2 8

7 7 +

6 7

6 8 +

1

Addition 9




5. 83 + 25 6. 88 + 93 7. 27 + 85

8. 72 + 76 9. 94 + 87 10. 75 + 58

1 1

23

2. 1. 6 2

+ 6

9 6

3 3

9

3 4

4

7

1

3. 2

Addition 10

Work out these calculations vertically. You will need to

carry either the tens or units.


4. 247 + 72 5. 765 + 38 6. 686 + 93

7. 574 + 83 8. 283 + 66 9. 507 + 88

10. 607 + 98 11. 378 + 28 12. 776 + 73

4

+

5

1

3 7

+

24

1. 2 4

+ 3

2.

6 7

3

3 4

1

9

1

3. 6

1 1 3

Addition 11

Work out these calculations vertically. You will need to

carry either the tens or units.


4. 256 + 171 5. 435 + 236 6. 362 + 186

7. 483 + 163 8. 157 + 309 9. 282 + 696

10. 303 + 208 11. 246 + 227 12. 774 + 144

7 3

3

+

2

0

4 2

+

25

Addition 12

Find the missing numbers that add up to 100. 1. + =

2. + =

3. + =

4. + =

5. + =

6. + =

7. + =

8. + =

9. + =

10. + =

62 100

51

86

24

92

100

100 37

100

100 75

100

59 100

100

66 100

48

100

26

Addition 13

Find the missing numbers that add up to 1000. 1. + =

2. + =

3. + =

4. + =

5. + =

6. + =

7. + =

8. + =

9. + =

10. + =

650 1000

210

990

220

910

1000

1000 350

1000

1000 780

1000

750 1000

1000

640 1000

580

1000

27

Addition 14

Add these two digit numbers.

Start with the tens then add up the units.

1. 16 + 13 = 2. 15 + 13 =

3. 23 + 16 = 4. 12 + 11 =

5. 17 + 12 = 6. 14 + 12 =

7. 24 + 14 = 8. 26 + 13 =

9. 24 + 15 = 10. 21 + 25 =

11. 24 + 10 = 12. 16 + 14 =

13. 18 + 11 = 14. 13 + 26 =

15. 14 + 32 = 16. 34 + 22 =

17. 23 + 15 = 18. 21 + 19 =

19. 22 + 25 = 20. 23 + 15 =

21. 29 + 21 = 22. 33 + 26 =

23. 34 + 35 = 24. 43 + 32 =

25. 36 + 23 = 26. 41 + 38 =

28

1. 1 3

+ 7

1 3

2.

2 6

2 3 6

5 2

8

7

5

1

4 3. 4 1

1

1

1 2

Addition 15



4. 109 + 143 5. 326 + 135 6. 277 + 184

7. 206 + 233 8. 255 + 243 9. 409 + 273

10. 607 + 98 11. 378 + 284 12. 279 + 376

+ +

29

1. 5 7

+ 6

4 0

2.

2 6

2

+

3 7

2 7

9

3

2

1

4 3. 1 4

4

1

1 2

1

1

2 3 1

Addition 16



4. 523 + 236 5. 791 + 357 6. 609 + 827

7. 484 + 727 8. 863 + 355 9. 719 + 464

10. 107 + 98 + 127 11. 321 + 284 +78 12. 273 + 253 + 123

+

30

Addition 17

Here is an addition table with some missing

numbers.


+ 20 25 30 35 40 45 50 55 60 65

20 45 60

25

30

35 60

40

45 75

50

55 90

60

65 110

Work out these addition sums.

1. 20+ 50 = 2. + 70 = 180

3. 150 + = 290 4. + 80 = 170

5. 80 + = 155 6. 70 + 45 =

7. 90 + 80 = 8. 160 + 190 =

9. 75 + 65 = 10. + 85 = 120

31

Subtraction 1

Use an empty number line to work out the subtraction

calculations.

1. 64 - 26 = 4 + 30 + 4 = +4 + 30 +4

26 30 60 64

2. 82 - 37 = 3 + 40 + 2 = + + 40 +2

37 40 80

3. 65 - 29 = 1 + 30 + = + +30 +

29 4. 68 - 23 = 7 + + =

+ + +

23 30 5. 49 - 25 = + + +

46

32

Subtraction 2

Use an empty number line to work out the subtraction

calculations.

1. 76 - 48 = 2 + 20 + 6 = +2 + 20 +6

48 50 70 76

2. 75 – 34 = =

3. 165 - 38 = =

4. 268 - 97 = =

5. 342 - 225 = =

33

Subtraction 3

Find the difference between two numbers.

Use an empty number line to work out the difference.

1. 106, 97 the difference is +3 +6

97 100 106

2. 295, 314 the difference is + 5 +14

295

3. 277, 318 the difference is



34

1.

.

6 1 3

- 3 6

1 0

0

+ 5 0 + 3 1

3 0 + 6

1 0 2 0

-

7

-

= 1 2 7

2.

.

1 7 4

0

4 9

=

3.

. 2 3 7

1 5 5

4.

.

5 2 6

3 7 4

-

-

3

3

6

3

=

=

Subtraction 4

Work out these subtraction calculations vertically. Then

partition the numbers and work out the answer. Adjust

the tens or units if they cannot be subtracted.

35

1.

.

4 6 9

- 7 8

5 0

0

+ 1 4 0 +

7 0 8

5 0 7 1

-

= 5 7 1

2.

.

4 6 2

0

3 5

3.

. 7 5 8

5 8 5

4.

.

8 6 2

7 4 7

9

+

0

3

=

=

Subtraction 5

Work out these subtraction calculations vertically. Then

partition the numbers and work out the answer. Adjust

the tens or units if they cannot be subtracted.

-

=

36

1. 8 6

+ 5 4

2 3

3. 4. 2.

3 5

8 8

-

7 5

4 -

9

2 8 - -

Subtraction 6



5. 69 - 56 6. 48 - 36 7. 75 - 24

8. 374 - 53 9. 483 - 42 10. 685 - 13

11. 887 - 46 12. 979 - 63 13. 949 - 30

2

5

37

1. 3

+ 3

2 6

3. 2. 4.

3 5

- 5

7 4

-

9 8

-

4

-

8 1 3

5

4 8

3

4

0

7 4

Subtraction 7

Work out these calculations vertically. Change the unit

digits.


5. 667 - 59 6. 244 - 28 7. 596 - 58

8. 474 - 38 9. 673 - 45 10. 985 - 67

11. 654 - 76 12. 862 - 28 13. 763 - 48

4 1

38

1.

+ 4 4

7 7

3. 2. 4.

6 3

- 6

4 8

-

6 7

-

9

-

2 7 3

7

8 3

6

4

8

9 4

Subtraction 8

Work out these calculations vertically. Change the tens

digits.


5. 249 - 63 6. 354 - 81 7. 315 - 83

8. 538 - 77 9. 228 - 46 10. 985 - 67

11. 717 - 76 12. 359 - 78 13. 928 - 76

3

1

39

1. 3 5

+ 0

4 1

2.

6 0

5

-

7 7

5 4

6

9

7

2 3. 4 3

2 2 2 - -

4 16

Subtraction 9



4. 643 - 421 5. 354 - 263 6. 431 - 280

7. 972 - 281 8. 653 - 426 9. 427 - 244

10. 503 - 211 11. 923 - 607 12. 626 - 382

40

Subtraction 10

Here is an subtraction table with some missing

numbers.


- 50 45 40 35 30 25 20 15 10 5

500 450 470

450

400 355

350

300

250 215

200

150

100

50 25

Work out these subtraction sums.

1. 200 - 50 = 2. - 60 = 300

3. 400 - = 150 4. - 80 = 200

5. 1300 - = 400 6. 900 - 500 =

7. 2000 - 80 = 8. 500 - 190 =

9. 1300 - 60 = 10. - 700 = 200

41

Subtraction 11

Find the missing numbers. 1. - =

2. - =

3. - =

4. - =

5. - =

6. - =

7. - =

8. - =

9. - =

10. - =

500 300

850

740

670

935

150

600 350

680

240 320

550

610 150

125

640 350

580

240

42

Subtraction 12

Write these calculations vertically, and then work out the

answers.

1. 445 - 324

2. 456 - 238

3. 892 - 364

4. 484 - 357

5. 371 - 126

6. 569 - 287

7. 753 - 272

8. 724 - 536

9. 453 - 366

10. 561 - 293

43

Money 1

Write the total in the box.

1. 2.

£17·55

3. 4.

5. 6.

7. 8.

9. 10.

£5 £10

5p

£5

10p

£10 10p

2p

50p

1p 5p

£5

5p 1p

£10

50p

£20

£10 10p 1p

£20

£10 10p 2p

£20 £10 1p

£5

1p

50p

1p

£2 2p 1p

20p

£2 £2

£2

£1 £1 £1

10p 10p

2p

£2

£1

£1

20p

£2 £1

£2

5p

£1

2p

£2 £1 10p

1p

44

Money 2

Round the money to the nearest 10p then to the nearest

1. 673p =

2. 835p =

3. 569p =

4. 774p =

Round the price of the food to the nearest 10p.

Then to the nearest £.

5.

6.

7.

8.

100p.

670p 700p

£1·67 £1·70 £

£1·42 £ £

£6·50

£ £

£3·94 £ £

45

Money 3

Use the prices to answer the ice cream parlour problems.

1. Sue buys a lolly and a milkshake. How much does

she spend? _______________________________

2. Max has £5 to spend. He buys a sundae. How much

does he have left?____________________________

3. Tina wants to buy a cone and an orange drink. How

much does she need?_________________________

4. Mum buys two coffees and a lolly. How much

change does she get from a £10 note?

________________________________________

5. Jo buys two drinks and spends £2·90. What were the

two drinks? ____________ ______________

6. There are seven people in a family and they all order

a different item from the menu. How much do they

spend? __________________________________

Cone

£1·20

Lolly

£1·15

Sundae

£3·50

Coffee

1·05p

Orange

1·75p

Cola

75p

Milkshake

2·15p

46

Money 4

Add up the prices.

1. £5·45 2. £5·89 3. £2·96

4. £3·82 5. £7·67 6. £5·87

Subtract the second price.

7. £6·89 8. £9·78 9. £2·96

10. 11. 12.

£5·76 £8·37 £8·09

13. 14. 15.

£7·84 £4·79 £6·16

16. 17. 18.

£7·96 £9·46 £6·39

Money 5

+ £2·96 + £3·38 + £3·38

+ £3·59 + £6·19 + £6·88

- £6·46 - £4·36 - £1·34

- £4·47 - £4·29 - £4·46

- £1·86 - £4·35 - £3·09

- £8·17 - £4·29 - £4·86

47

Work out the answer to these word problems.

1. June needs £200 but only has £128.

How much more does she need?

_________________________________________

2. I want to buy a games system costing £120.

The price went down in a sale by £8.

How much does it cost now?

_________________________________________

3. Jeff and Paul sorted their money into piles.

Together they have £6·50. Jeff has £3·30 in his pile.

How much does Paul have in his pile?

__________________________________________

4. Sarah earned £7 on Friday and £8 on Saturday.

Gran gave her some money on Sunday.

She now has £21.

How much did Gran give her?

_________________________________________

5. James has £159 in the bank and £23 in his piggy

bank. He takes £34 from the bank and spends it.

How much money does he have left altogether?

__________________________________________

6. Mum bought a coat costing £37 and a bag costing

£29. She also bought some shoes.

Mum spent £94 altogether.

How much did the shoes cost?

__________________________________________

48

Money 6


answers.

1. £4·73 + £6·25

2. £11·56 + £6·93

3. £24·67 + £12·19

4. £72·08 + £6·98

5. £102·23 + £34·67

6. £47·17 + £38·68

7. £56·09 + £24·17

8. £20·77 + £19·66

9. £34·34 + £56·57

10. £123·25 + £324·97

49

Money 7


answers.

1. £12·83 - £5·21

2. £28·96 - £7·93

3. £44·69 - £13·27

4. £53·28 - £11·06

5. £327·86 - £114·65

6. £37·63 - £15·46

7. £36·49 - £24·57

8. £80·97 - £25·38

9. £54·29 - £21·57

10. £125·95 - £94·76

50

How are you doing? 1

1. Put these numbers in order smallest first.

5783 4875 3758 4783 3857

______ ______ ______ ______ _______

2. Write ˃ or ˂ between the numbers.

a. 130 145 b. 205 199

3. Work out the answers.

a. 367 b. 629 c. 935 d. 357

+ 42 + 47 + 84 + 45

e. 259 f. 439 g. 476 h. 408

- 35 - 56 - 48 - 52

4. Write these in pounds.

a. 856p ______ b. 409p _____ c. 67p _____

Work out these calculations.

5. -7 + 6 - 3 = 6. - 4 - 5 - 3 =


7.

725

- 25

700

51

Multiplication 1

Write two matching multiplication facts and addition facts

for each pattern.

3 × 4 = 12

4 + 4+ 4 = 12

3+ 3+3+3 = 12

4 × 3 = 12

1. __________________________

__________________________

__________________________

__________________________

__________________________

2. __________________________

__________________________

__________________________

__________________________

3. __________________________

__________________________

__________________________

__________________________

4. __________________________

__________________________

__________________________

52

Multiplication 2

Write two matching multiplication facts and division facts

for each pattern.

3 × 5 = 15

5 × 3 = 15

15÷5 = 3

15÷3 = 5

1. __________________________

__________________________

__________________________

__________________________

__________________________

2. __________________________

__________________________

__________________________

__________________________

3. __________________________

__________________________

__________________________

__________________________

4. __________________________

__________________________

__________________________

53

Multiplication 3

Double the number that is inside the coloured star.

Write an addition and multiplication fact for each.

1. 40 + 40 = 80

2 × 40 = 80

2. + =

× =

3. + =

× =

4. + =

× =

5. + =

× =

40 80

8

12

30

16

54

Multiplication 4

When we multiply large numbers we can use the grid

method.

Example

4 × 24 =

20 4 80

× 4 = + 16

96

Fill in the gaps. Complete each multiplication.

1. 5 × 25 =

25 5 125

+

×5 =

2. 3 × 49

40 9

+

×3 =

3. 4 × 18 =

10 8

+

×4 =

16 80

25

55

Multiplication 5

Multiply these numbers using the grid method.


1. 3 × 26 =

20 6 60

+

×3 =

2. 4 × 29

20 9

+

×4 =

3. 5 × 13 =

10 3

+

×5 =

4. 3 × 53 =

50 3

+

×3 =

5. 5 × 28 =

20 8

+

×5 =

56

Multiplication 6

When we multiply large numbers we can lay them out

like this.

25

× 8

25 × 8 is the same as (20 +5) × 8= (20×8) + (5×8)

20 5 25

× 8 + × 8 × 8

160 40 160 (20×8)

+ 40 ( 5×8)

200 (25×8)

______________________________________________


1. 16 2. 19 3. 23

× 7 × 6 × 4

(10×7) (10×6) (20×4)

( 6×7) ( 9×6) ( 3×4)

112 (16×7) (19×6) (23×4)

4. 18 5. 26 6. 28

× 5 × 4 × 6

(10×5) (20×4) (20×6)

( 8×5) ( 6×4) ( 8×6)

(18×4) (26×4) (28×6)

57

Multiplication 7


1. 19 2. 24 3. 13

× 5 × 6 × 8

(10×5) (20×6) (10×8)

( 9×5) ( 4×6) ( 3×8)

95 (19×5) (24×6) (13×8)

4. 25 5. 32 6. 17

× 9 × 3 × 9

(20×9) (30×3) (10×9)

( 5×9) ( 2×3) ( 7×9)

(25×9) (32×3) (17x9)

7. 45 8. 33 9. 27

× 3 × 4 × 6

(40×3) (30×4) (20×6)

( 5×3) ( 3×4) ( 7×6)

(45×3) (33×4) (27×6)

10. 36 11. 39 12. 47

× 4 × 5 × 6

(30×4) (30×5) (40×6)

( 6×4) ( 9×5) ( 7×6)

(36×4) (39×5) (47×6)

58

Multiplication 8


1. 29 2. 31 3. 43

× 3 × 4 × 4

(20×3) (30×4) (40×4)

( 9×3) ( 1×4) ( 3×4)

87 (29×3) (31×4) (43×4)

4. 15 5. 22 6. 28

× 6 × 6 × 3

( ) ( ) ( )

( ) ( ) ( )

( ) ( ) ( )

7. 42 8. 24 9. 52

× 5 × 4 × 3

( ) ( ) ( )

( ) ( ) ( )

( ) ( ) ( )

10. 53 11. 37 12. 33

× 6 × 9 × 6

( ) ( ) ( )

( ) ( ) ( )

( ) ( ) ( )

59

Multiplication 9

Use a standard method of multiplication.

Example

36 × 4 = 36

× 4

144 1 2


1. 26 2. 34 3. 28

× 3 × 2 × 2

78 1

4. 21 5. 16 6. 28

× 4 × 5 × 4

7. 27 8. 34 9. 35

× 3 × 5 × 6

10. 52 11. 34 12. 37

× 3 × 4 × 5

60

Multiplication 10

Use a standard method of multiplication.

Example

42 × 6 = 42

× 6

252 2 1


1. 47 2. 46 3. 37

× 4 × 4 × 5

188 2

4. 29 5. 26 6. 48

× 6 × 7 × 5

7. 36 8. 35 9. 46

× 8 × 9 × 6

10. 58 11. 49 12. 67

× 6 × 8 × 6

61

Multiplication 11

Write down the multiple of 25 that comes before these

numbers.

1. 250 2. 300

3. 425 4. 175

Write down the multiple of 25 that comes after these

numbers.

5. 175 6. 250

7. Write 4 multiples of 25 that are also multiples of

8. Write 4 multiples of 25 between 300 and 500.

9. Write 3 multiples of 25 that add up to 325.

10. Write 4 multiples of 25 that are also multiples of 50.

225

100.

62

Multiplication 12

Multiply each number by 10.

1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

11. 12.

13. A bag of marbles contains 10 marbles.

How many bags can be filled?

a. 60 marbles

b. 320 marbles

c. 2030 marbles

30 70

120 240

310 720

122 514

2900 2102

3000 2458

63

Multiplication 13

A. Choose a number from each box to make different

multiplication number sentences.

1. 7 × 5 = 2. _____________

3. ______________ 4. _____________

5. ______________ 6. _____________

7. ______________ 8. _____________

9. ______________ 10. _____________

B. Choose a number from each box to make different

multiplication number sentences.

1. 9 × 4 = 2. _____________

3. ______________ 4. _____________

5. ______________ 6. _____________

7. ______________ 8. _____________

9. ______________ 10. _____________

4 2 7

8 5 1 10 2 3

4 5

35

36

3 5 7

9 10 12 4 6

8 2

64

Multiplication 14

Use the partitioning method of multiplication.

Example

67 × 4 = (60 × 4) + (7 × 4)

= 240 + 28

= 268


1. 43 × 3 = ( × 3) + ( × 3)

= 120 +

= 129

2. 34 × 4 = ( × ) + ( × )

=

=

3. 65 × 5 = ( × ) + ( × )

=

=

4. 47 × 3 = ( × ) + ( × )

=

=

5. 59 × 4 = ( × ) + ( × )

=

=

6. 67 × 3 = ( × ) + ( × )

=

=

65

Multiplication 15



1. 59 × 6 = ( × 6) + ( × 6)

= 300 +

= 354

2. 46 × 3 = ( × ) + ( × )

=

=

3. 27 × 6 = ( × ) + ( × )

=

=

4. 69 × 3 = ( × ) + ( × )

=

=

5. 78 × 4 = ( × ) + ( × )

=

=

6. 84 × 6 = ( × ) + ( × )

=

=

7. 93 × 5 = ( × ) + ( × )

=

=

66

Multiplication 16



1. 87 × 8 = ( × 8) + ( × 8)

= 640 +

= 696

2. 73 × 5 = ( × ) + ( × )

=

=

3. 56 × 9 = ( × ) + ( × )

=

=

4. 68 × 7 = ( × ) + ( × )

=

=

5. 95 × 8 = ( × ) + ( × )

=

=

6. 78 × 7 = ( × ) + ( × )

=

=

7. 94 × 9 = ( × ) + ( × )

=

=

67

Multiplication 17

Double each of these numbers.

1. 36 ______ 2, 53 ______

3. 70 ______ 4. 38 ______

5. 64 ______ 6. 27 ______

7. 91 ______ 8. 82 ______

Underline the multiples of 100.

9. 300 450 1200 3400 560 1900 600

10. 890 349 2500 234 220 1560 3400

11. 780 4500 2400 140 600 5600 3450

Double each of these numbers.

12. 240 ______ 13. 620 ______

14. 560 ______ 15. 470 ______

16. 930 ______ 17. 880 ______

18. 1200 ______ 19. 2400 ______

20. 4500 ______ 21. 3600 ______

22. 2800 ______ 23. 1600 ______

68

Multiplication Tables 1

× 0 1 2 3 4 5 6 7 8 9 10 11 12

2 0 2 4 6 8 10 12 14 16 18 20 22 24

3 0 3 6 9 12 15 18 21 24 27 30 33 36

4 0 4 8 12 16 20 24 28 32 36 40 44 48

6 0 6 12 18 24 30 36 42 48 54 60 66 72

8 0 8 16 24 32 40 48 56 64 72 80 88 96

Use the multiplication grid to practice these

multiplication and division questions.

1. 3×9 =___ 2. 6×5 =___ 3. 8×9 =___

4. 6×6 =___ 5. 12×4 = ___ 6. 7×8 =___

7. 8×___ = 88 8. 3×___= 36 9. 6×___= 72

10. ___×4 = 36 11. ___×6 = 42 12. ___×8 = 64

13. 8×___ = 32 14. 6×___= 18 15. 6×___= 12

16. ___×8 = 80 17. ___×6 = 54 18. ___×6 = 36

19. 24÷2 =___ 20. 32÷4 =___ 21. 33÷3 =___

22. 72÷___ = 6 23. 30÷___= 5 24. 54÷___= 9

25. ___÷10 = 8 26. ___÷8 = 6 27. ___÷12 = 6

69


Answer these multiplication and division questions.

1. 1×6 =___ 2. 3×3 =___ 3. 5×4 =___

4. 6×4 =___ 5. 12×2 = ___ 6. 11×3 =___

7. 4×___ = 8 8. 3×___= 15 9. 6×___= 30

10. ___×3 = 24 11. ___×9 = 27 12. ___×8 = 0

13. 6×___ = 6 14. 2×___= 4 15. 6×___= 18

16. 3×4 =___ 17. 5×5 =___ 18. 8×10 =___

19. 5×6 =___ 20. 8×7 = ___ 21. 6×8 =___

22. 8×___ = 16 23. 4×___= 44 24. 5×___= 40

25. ___×4 = 36 26. ___×7 = 42 27. ___×8 = 72

28. 6×___ = 72 29. 8×___= 64 30. 11×___= 88

31. ___÷3 = 4 32. ___÷4 = 6 33. ___÷6 = 5

34. 80÷10 =___ 35. 36÷3 =___ 36. 42÷6 =___

37. 60÷___ = 10 38. 48÷___= 6 39. 72÷___= 12

40. ___÷11 = 4 41. ___÷4 = 4 42. ___÷6 = 9

70


× 0 1 2 3 4 5 6 7 8 9 10 11 12

3 0 3 6 9 12 15 18 21 24 27 30 33 36

4 0 4 8 12 16 20 24 28 32 36 40 44 48

6 0 6 12 18 24 30 36 42 48 54 60 66 72

8 0 8 16 24 32 40 48 56 64 72 80 88 96

9 0 9 18 27 36 45 54 63 72 81 90 99 108



1. 2×9 =___ 2. 6×3 =___ 3. 7×9 =___

4. 4×4 =___ 5. 12×3 = ___ 6. 9×9 =___

7. 3×___ = 33 8. 8×___= 64 9. 6×___= 42

10. ___×4 = 20 11. ___×6 = 54 12. ___×9 = 108

13. 11×___ = 99 14. 8×___= 24 15. 9×___= 45

16. ___×9 = 72 17. ___×8 = 88 18. ___×7 = 28

19. 36÷3 =___ 20. 63÷7 =___ 21. 48÷4 =___

22. 108÷___ = 9 23. 36÷___= 6 24. 27÷___= 9

25. ___÷11 = 8 26. ___÷8 = 4 27. ___÷12 = 8

71



1. 3×5 =___ 2. 2×8 =___ 3. 5×6 =___

4. 9×4 =___ 5. 11×6 = ___ 6. 10×9 =___

7. 1×0 = ___ 8. 6×___= 12 9. 7×___= 21

10. ___×8 = 32 11. ___×6 = 48 12. ___×9 = 63

13. 8×___ = 8 14. 2×___= 18 15. 3×___= 21

16. 3×3 =___ 17. 8×4 =___ 18. 9×5 =___

19. 8×7 =___ 20. 9×6 = ___ 21. 9×9 =___

22. 6×___ = 72 23. 4×___= 24 24. 5×___= 45

25. ___×9 = 108 26. ___×8 = 64 27. ___×11 = 88

28. 8×___ = 40 29. 9×___= 72 30. 7×___= 63

31. ___÷4 = 4 32. ___÷4 = 5 33. ___÷6 = 10

34. 90÷10 =___ 35. 48÷4 =___ 36. 45÷9 =___

37. 108÷___ = 9 38. 56÷___= 8 39. 72÷___= 8

40. ___÷11 = 6 41. ___÷9 = 9 42. ___÷4 = 9

72


× 0 1 2 3 4 5 6 7 8 9 10 11 12

3 0 3 6 9 12 15 18 21 24 27 30 33 36

4 0 4 8 12 16 20 24 28 32 36 40 44 48

6 0 6 12 18 24 30 36 42 48 54 60 66 72

7 0 7 14 21 28 35 42 49 56 63 70 77 84

8 0 9 16 24 32 40 48 56 64 72 80 88 96

9 0 9 18 27 36 45 54 63 72 81 90 99 108



1. 3×6 =___ 2. 7×2 =___ 3. 6×8 =___

4. 6×6 =___ 5. 8×9 = ___ 6. 7×7 =___

7. 3×___ = 24 8. 7×___= 42 9. 6×___= 54

10. ___×6 = 12 11. ___×8 = 64 12. ___×9 = 99

13. 12×___ = 72 14. 6×___= 36 15. 7×___= 35

16. ___×9 = 81 17. ___×9 = 63 18. ___×6 = 36

19. 88÷8 =___ 20. 56÷7 =___ 21. 96÷8 =___

22. 96÷___ = 8 23. 32÷___= 8 24. 66÷___= 6

25. ___÷7 = 7 26. ___÷3 = 12 27. ___÷7 = 8

73



1. 4×7 =___ 2. 3×6 =___ 3. 2×9 =___

4. 8×4 =___ 5. 9×3 = ___ 6. 11×7 =___

7. 9×10 = ___ 8. 8×___= 48 9. 2×___= 24

10. ___×3 = 9 11. ___×5 = 0 12. ___×7 = 14

13. 8×___ = 64 14. 5×___= 35 15. 3×___= 33

16. 7×7 =___ 17. 9×6 =___ 18. 7×4 =___

19. 9×4 =___ 20. 7×6 = ___ 21. 8×12 =___

22. 7×___ = 77 23. 9×___= 108 24. 5×___= 25

25. ___×4 = 24 26. ___×9 = 63 27. ___×12 = 36

28. 7×___ = 56 29. 9×___= 81 30. 9×___= 99

31. ___÷6 = 4 32. ___÷2 = 11 33. ___÷6 = 6

34. 42÷6 =___ 35. 72÷9 =___ 36. 56÷7 =___

37. 30÷___ = 5 38. 49÷___= 7 39. 35÷___= 7

40. ___÷12 = 6 41. ___÷8 = 11 42. ___÷8 = 6

74


× 0 1 2 3 4 5 6 7 8 9 10 11 12

6 0 6 12 18 24 30 36 42 48 54 60 66 72

7 0 7 14 21 28 35 42 49 56 63 70 77 84

8 0 8 16 24 32 40 48 56 64 72 80 88 96

9 0 9 18 27 36 45 54 63 72 81 90 99 108

11 0 11 22 33 44 55 66 77 88 99 110 121 132

12 0 12 24 36 48 60 72 84 96 108 120 132 144



1. 6×7 =___ 2. 9×9 =___ 3. 12×8 =___

4. 6×9 =___ 5. 11×11 = ___ 6. 12×12 =___

7. 5×___ = 60 8. 9×___= 56 9. 6×___= 48

10. ___×12 = 24 11. ___×10 =110 12. ___×8 = 40

13. 12×___ = 96 14. 6×___= 42 15. 12×___=132

16. ___×8 = 48 17. ___×3 = 36 18. ___×9 = 36

19. 49÷7 =___ 20. 108÷9 =___ 21. 72÷9 =___

22. 54÷___ = 9 23. 144÷___=12 24. 32÷___= 4

25. ___÷11 =11 26. ___÷8 = 12 27. ___÷12 = 7

75



1. 6×7 =___ 2. 5×9 =___ 3. 11×11 =___

4. 8×6 =___ 5. 9×7 = ___ 6. 12×4 =___

7. 7×7 = ___ 8. 12×___=144 9. 8×___= 72

10. ___×3 = 24 11. ___×6 = 48 12. ___×3 = 36

13. 5×___ = 25 14. 9×___= 63 15. 4×___= 32

16. 12×11 =___ 17. 9×5 =___ 18. 8×8 =___

19. 10×11 =___ 20. 6×6 = ___ 21. 9×12 =___

22. 6×___ = 66 23. 7×___= 49 24. 8×___= 48

25. ___×9 = 27 26. ___×4 = 16 27. ___×12 = 24

28. 6×___ = 72 29. 9×___= 54 30. 7×___= 56

31. ___÷8 = 4 32. ___÷11 = 5 33. ___÷9 = 9

34. 144÷12 =___ 35. 72÷8 =___ 36. 56÷7 =___

37. 28÷___ = 4 38. 81÷___= 9 39. 132÷___=12

40. ___÷6 =11 41. ___÷11 =11 42. ___÷12 = 9

76

Division 1

Write an answer to each division calculation.

A.

1. 21 ÷ 3 = 2. 18 ÷ 3 =

3. 24 ÷ 3 = 4. 15 ÷ 3 =

5. 30 ÷ 5 = 6. 40 ÷ 4 =

7. 36 ÷ 4 = 8. 60 ÷ 5 =

9. 28 ÷ 4 = 10. 24 ÷ 4 =

Now try these.

B.

1. 24 ÷ 2 = 2. 46 ÷ 2 =

3. 55 ÷ 5 = 4. 66 ÷ 3 =

5. 88 ÷ 4 = 6. 75 ÷ 5 =

7. 68 ÷ 2 = 8. 54 ÷ 2 =

9. 69 ÷ 3 = 10. 64 ÷ 4 =

77

Division 2

Write an answer to each division calculation. They will

not divide exactly.

Example 14 ÷ 4 = 3 remainder 2

= 3 r 2

A.

1. 15 ÷ 2 = 2. 18 ÷ 4 =

3. 84 ÷10 = 4. 19 ÷ 3 =

5. 42 ÷ 5 = 6. 25 ÷ 4 =

7. 39 ÷ 4 = 8. 99 ÷10 =

9. 53 ÷ 5 = 10. 37 ÷ 4 =

Now try these.

B.

1. 72 ÷ 5 = 2. 78 ÷ 4 =

3. 81 ÷ 5 = 4. 67 ÷ 3 =

5. 89 ÷ 2 = 6. 77 ÷10 =

C.

Halve these numbers

1. 62 = 2. 74 = 3. 92 =

78

Division 3

There are several methods of working out a division

problem.

Such as 55÷4

Method 1 uses multiples of the divisor (for example

multiples of 4)

55 ÷ 4 = (40 +15) ÷ 4 = 10 + 3 with a remainder of 3

= 13 r 3

Try these using this method.

1. 27 ÷ 5 = ( 2__ + ___) ÷ 5 = ___+__remainder___

= ____ r ____

2. 46 ÷ 4 = ( 40 + ___) ÷ ___= ___+__remainder___

= ____r ____

3. 23 ÷ 3 = ( 18 + ___) ÷ ___= ___+__remainder___

= ____ r ____

4. 57 ÷ 4 = ( 40 + ___) ÷___ = ___+ __remainder___

= ____r ____

5. 38 ÷ 3 =

6. 49 ÷ 4 =

79

Division 4

Practice using Method 1.

Example

73 ÷ 6 = ( 60 +13) ÷ 6 = 10 + 2 with a remainder of 1

= 12 r 1

Try these using this method.

1. 68 ÷ 5 = ( 50 + ___ ) ÷ 5 = ___ +__remainder___

= ____ r ____

2. 59 ÷ 4 = ( 40 + ___ ) ÷ ___ = ___+__remainder___

= ____r ____

3. 37 ÷ 3 = ( 3__ + ___) ÷ ___= ___+__remainder___

= ____ r ____

4. 97 ÷8 =

5. 86 ÷ 7 =

6. 79 ÷ 6 =

7. 69 ÷ 4 =

80

Division 5

Method 2 to work out 57 ÷ 4

Lay out the sum in a more conventional manner, firstly

take away a tens multiple of the divisor (4 in this case).

4) 57

- 40 (10 × 4)

17

- 16 ( 4 × 4)

1

The answer to 57 ÷ 4 is therefore 14 remainder 1

1. 78 ÷ 5 = 5) 78

- 50 (10 × __)

28

- 25 ( 5× __)

__ The answer is ___r____

2. 94 ÷ 6 = 6) 94

- 60 ( __× __)

34

- 30 (__ × __)

__ The answer is___r____

3. 66 ÷ 5 = 5) 66

The answer is___r____

81

Division 6

Use Method 2 to work out 97 ÷ 6

Estimate your answer first.

1. Estimate 96 ÷ 6 = 16

6) 97

- 60 (10 × __)

37

- 36 ( __× __)

1

The answer to 97 ÷ 4 is therefore ___ remainder __

2. 63 ÷ 5 = 5) 63 Estimate 60 ÷ 5 = 12

- 50 (10 × __)

- 10 ( __× __)

__

The answer is __ remainder ___

3. 76 ÷ 6 = 6) 76 Estimate___________

- ( __× __)

16

- 12 (__ × __)

___

The answer is __ r ___

Try

4. 74 ÷ 7 5. 82 ÷ 5 6. 91 ÷ 6

82

Division 7


1. Estimate 88 ÷ 8 =11

8) 93

- 80 (10 × __)

13

- 8 ( __× __)

5


2. 87 ÷ 4 = 4) 87 Estimate 80 ÷ 4 =

- 80 (20 × __)

- 4 ( × )

The answer is ______ is therefore___ remainder ___

3. 99 ÷ 4 = 4) 99 Estimate 100 ÷ 4 =


Try

4. 64 ÷ 3 5. 56 ÷ 9 6. 78 ÷ 7

83

Division 8


1. Estimate 66 ÷ 6 =11

6) 70

- 60 (10 × __)

10

- 6 ( __× __)

4


2. 77 ÷ 8 = 8) 77 Estimate 72 ÷ 8 =

- 72 (9 × __)

The answer is __ remainder ___

3. 58 ÷ 9 = 9) 58 Estimate 54 ÷ 9 =


Try

4. 77 ÷ 6 5. 84 ÷ 9 6. 99 ÷ 7

84

Division 9

Find half of these numbers and amounts.

Divide by 2.

1. £120 2. 40mm

3. 160 4. 44

5. £46 6. 70km

7. 28 8. 400g

Find a quarter of these numbers and amounts.

Divide by 4. You can find half first then halve it again.

9. 32

10. 100g

11. £60

12. 36

13. 64m

14. 400

15. 72

16. 44

17. 60km

£60

half of 32 = 16 , half of 16 = 8

85

Division 10

A.

Divide each number by 10.

1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

Write the value of the red digits.

B.

1. four hundred 2. _______________

3. ________________ 4. _______________

5. ________________ 6. _______________

7. ________________ 8. _______________

9. ________________ 10. _______________

400 40 710

140 290

320 7200

1220 5140

2900 4200

86

Division 11

Look at each division calculation.

Write the multiplication fact that you can think of to

answer the calculation.

Write the calculation and any remainders.

1. 47 ÷ 5 = 9 × 5 = 45, 47 ÷ 5 = 9 r 2

2. 35 ÷ 6 = ______________________________

3. 67 ÷10= ______________________________

4. 17 ÷ 4 = ______________________________

5. 26 ÷ 3 = ______________________________

6. 78 ÷10= ______________________________

7. 15 ÷ 4 = ______________________________

8. 37 ÷ 6 = ______________________________

Find the missing number to make each calculation

correct.

9. 43 = (6 × 7) + ___ 10. 64 = (6 × 10) + ___

11. 78 = ( 5 × 15) + ___ 12. 647 = ( 6 × 100) + ___

13. 17 = (4 × 4) + ____ 14. 48 = (9 × 5) + ___

15. 27 = (8 × 3) + ____ 16. 46 = (6 × 7) + ____

87

Division 12

Answer these division calculations.

Some have remainders.

1. 30 ÷ 5 = ______________________

2. 68 ÷ 10 = ______________________

3. 23 ÷ 7 = ______________________

4. 34 ÷ 4 = ______________________

5. 18 ÷ 3 = ______________________

6. 36 ÷ 6 = ______________________

7. 29 ÷ 4 = ______________________

8. 28 ÷ 6 = ______________________

9. 21 ÷ 2 = ______________________

10. 38 ÷ 5 = ______________________

11. 38 ÷ 7 = ______________________

12. 43 ÷ 6 = ______________________

13. 48 ÷ 8 = ______________________

14. 34 ÷ 6 = ______________________

88

Division 13

Find the answer to these division problems. If there is a

remainder decide whether you need to round the answer

up or down.

1. 36 people are travelling to a party. They are

travelling by car each car holds 5 people.

How many cars are needed? ___________________

2. There are 27 packets of crisps. Each bowl has room

for 6 packets of crisps.

How many bowls are needed? __________________

3. There are 28 children’s prizes.

If each child gets 4 prizes.

How many children are at the party?_____________

4. There are 48 balls if 10 fit in a box.

How many boxes are needed? __________________

5. 42 slices of cake are needed.

Each cake can be shared between 5 people.

How many cakes are needed? __________________

6. Party cd’s cost £7 each. I have £25.

How many can I buy?________________________

89

Multiplication and Division 1

Write an answer to each multiplication and division

calculation.

A.

1. 7 × 3 = 2. 6 × 4 =

3. 6 × 9 = 4. 5 × =

5. 27 ÷ 3 = 6. 45 ÷ 5 =

7. 6 × = 8. 7 × =

9. ÷ 4 = 10. 24 ÷ 4 =

Now try these.

B.

1. 9 × 4 = 2. 7 × 4 =

3. 6 × = 4. 7 × =

5. 56 ÷ 8 = 6. 63 ÷ 9 =

7. 9 × = 8. 7 × =

9. ÷ 8 = 10. ÷ 9 =

11. × 7 = 12. ÷ 8 =

42 35

9

20

81 28

9 6

48 42

42 7

90


For Hire- Prices for half an hour

Decide which operation you will use to answer each

problem. Now calculate the answer.

1. How much does it cost to hire each item for 1 hour?

a. wind surfer b. surf board

c. yacht d. canoe

2. There are 8 children in a group. Each child hires a

surf board and a canoe for half an hour.

a. What is the cost for each child?

b. What is the cost for the whole group?

3. A family of four hire a wind surfer, a surfboard and a

canoe for an hour each.

a. What is the cost per person?

b. What is the total cost?

£4 £3 £10 £5

91


Use the hire prices on the previous page to answer these

problems.

1. Tony has £60

How many hours can he hire a canoe for?

2. Jenny hires a yacht for 3 hours. What is the total

3. The total cost for 2 people to hire goods from the

shop for 1 hour was £14. What did they hire?

4. A family of five hire a yacht to share for 1 hour and

a wind surfer each for 2 hours. What is the total

5. Three people hire goods from the shop for 1 hour the

total cost is £30. What did they hire?

6. Tariq hires a wind surfer for four hours.

How much does it cost?

cost?

cost?

92


To multiply by 5 first multiply by 10 then ÷ by 2.

Example

14 × 5 (14 × 10) ÷ 2 = 140 ÷ 2 = 70

1. 11×5 (11 × 10) ÷ 2 = ________________

2. 19 ×5 (19 × 10) ÷ 2 = ________________

3. 13 ×5 ____________________________________

4. 30 ×5_____________________________________

5. 16 ×5 ____________________________________

6. 34 ×5 ____________________________________

7. 25 ×5 ____________________________________

8. 17 ×5 ____________________________________

9. 36 ×5 ____________________________________

10. 60 ×5 ____________________________________

11. 42 ×5 ____________________________________

12. 27 ×5 ____________________________________

93

14 × 20


To multiply by 20 first multiply by 10 then × by 2.

Example

12 × 20 (12 × 10) × 2 = 120 × 2 = 240

1. (14 × 10) ×2 =

2. 15 × 20 ____________________________________

3. 11 × 20 ____________________________________

4. 20 × 20 ____________________________________

5. 8 × 20 ___________________________________

6. 17 × 20 ____________________________________

7. 22 × 20 ____________________________________

8. 24 × 20 ____________________________________

9. 36 × 20 ____________________________________

10. 50 × 20 ____________________________________

11. 42 × 20 ____________________________________

12. 31 × 20 ____________________________________

94


Write two multiplication and two division facts for

Each set of cards.

1. × 5 = 2. × =

3. ÷ = 4. ÷ =

5. × 5 = 6. × =

7. ÷ = 8. ÷ =

9. × 5 = 10. × =

11. ÷ = 12. ÷ =

13. × × = 14. × =

15. ÷ = 16. ÷ =

18 3 6

42 6 7

36 9 4

48 6 8

95


Decide whether you will use × or ÷ to answer each

problem.

1. Sally buys 3 boxes of crayons.

How many crayons altogether? 5 × 3 = ______

2. Mrs Jones has 20 boxes of crayons in her classroom.

How many crayons altogether? ______________

3. Jack has 25 crayons.

How many boxes does he have?_______________

4. Jenny buys 7 boxes of crayons.

How many crayons in total? __________________

5. 5 crayons cost 10p.

How much for 50 crayons? __________________

6. The school needs 300 crayons.

How many boxes does it need?_________________

7. 10 boxes of crayons cost £1

How much do 70 boxes of crayons cost? _________

8. Wally buys 11 boxes of crayons.

How many crayons in total? _________________

5 crayons per box

96


Read each problem. Find the important information.

Write a division or multiplication calculation for each

problem.

1. Books cost £5 each.

How many books can be bought for £35?

2.

a. The clothes shop sold 6 scarves on Thursday.

They made £42 altogether.

How much for 1 scarf?

b. How much for 8 scarves?

3.

a. James bought 3 games. He spent £27.

How much did each game cost?

b. How much for 6 games?

4.

a. In one week, the greengrocer made £30 on selling

melons. 15 melons were sold.

How much per melon?

b. How much money was made if only 9 melons were

sold?

97


Multiply these numbers using the grid method.

1. 7 × 23 = 2. 6 × 58 =

×7 ×6

Multiply these numbers using a standards method.

3. 37 4. 58

× 9 × 6

5. Fill in the gaps.

a. 34 × 10 = ____ b. 432 × 10 = ____ c. 670 ÷ 10 = ___

d. 28 ÷ 4 = ____ e. 42 ÷ 6 = _____

f. 35 ÷ 7 = ____ g. 66 ÷ 6 = _____

h. 45 ÷ 4 = i. 37 ÷ 3 =

j. 14 × 20 = _____ k. 26 × 5 = _____

6. Halve each of these numbers.

a. 740 ______ b. 936 ______

c. 2300 ______ d. 6370 ______

r r

98

Fractions and Decimals 1

1 is the same as 2

2 4

The same shaded fractions can be written in different ways.

These are called equivalent fractions.

Colour the fractions and fill in the gaps.

1.

2 is the same as ___ 5

2.


3.


99


Colour the fractions and fill in the gaps

1.

3 is the same as 6

4 8

2.

4 is the same as ___

5

3.


3

4.


5

100

1

2

4


1. Circle the fractions that are bigger than

3 2 1 6 7 3

4 5 3 10 8 5

Colour the boxes and finish the fractions

2.

1 =

3.

1 =

4.

1 =

5.

5

1 =

101

1

3

1

3

1

4

4

3

10

2

5


1. Circle the fractions that are bigger than

3 2 1 2 4 1

4 3 4 12 8 6

Use two colours to shade the boxes and finish the number

sentences.

2.

+ = 1

3. + = 1

4.

+ = 1

5.

5

+ = 1

102

Write the number of sweet boxes.

1

2

1

3

3

4

This is a whole box of chocolates. 1

4

5

8

a. Draw 3 boxes. a. Draw 2 boxes.


1.

Match each fraction to the sweet boxes.

2

2.

3.

4.

1

3

3

1

5.

6.

103

1

4

1

10

1

5


Work out these division facts. Now write each fact as a

fraction calculation.

Example 12 ÷ 4 = × 12 = 3

1. 15 ÷ 3 = ________________________________

2. 24 ÷ 4 = ________________________________

3. 30 ÷ 5 = ________________________________

4. 35 ÷ 5 = ________________________________

5. 130 ÷10 = ________________________________

Find of each number. Write your answer as a division

fact.

6. 20 _____________________________________

7. 90 _____________________________________

8. 500 _____________________________________

Find of each number. Write your answer as a division

fact.

9. 60 ______________________________________

10. 120 ______________________________________

11. 500 ______________________________________

104

1

3

1

3

box.


Write the red sweets as a fraction of all the sweets in each

1. The red sweets are of the sweets in the box.

2. The red sweets are ____ of the sweets in the box.

3. The red sweet is ____ of the sweets in the box.

4. The red sweets are ____of the sweets in the box.

Write the missing fraction.

5. 6 is of 18 6. 7 is ___ of 21

7. 3 is ___ of 15 8. 9 is ___ of 18

9. 8 is ___ of 32 10. 10 is ___ of 100

11. 2 is ____ of 14 12. 5 is ___ of 25

105

1

5


What fraction is one square?

1. 2.

a fifth __________________

3. 4.

______________ ________________

Write the fraction of orange and grey squares.

5. 6.

orange ____________ orange ____________

grey ____________ grey ____________

7. 8.

orange ____________ orange ____________

grey ____________ grey ____________

106

1

4

1

2

1

3

2

5

3

8

1

10

1

2

4

9

1

9

2

7

2

7

1

8

5

8


Write the fractions of the red, blue and green squares.

1. 2.

red half red ______________

blue ____________ blue ______________

green ____________ green ______________

3. 4.

red ____________ red ______________

blue ____________ blue ______________

green ____________ green ______________

Fill in the missing fractions.

5. + ___ = 1 6. + ___ = 1

7. + ___ = 1 8. + ___ = 1

9. + + ___ = 1 10. + + ___ = 1

11. + + ___ = 1 12. + + ___ = 1

107

1

2

3

6

1

2

1

2

1

2

1

4


Half the circles are yellow. Write other fractions to show

1. 2.

= = _____

3. 4.

= ______ = _____

Write two fractions for the blue circles.

5. 6.

= _______ _____ =_____

7. 8.

_____=______ _____=______

half.

108

1

5

3

5

1

3

1

10

1

1

8

1

6


Fill in the missing fractions on the number lines.

1. 2. 0 1 0 1 3. 0 1 4. 5. 0 0 Circle the fractions that are less than half.

Write these fractions in order smallest to largest.

6. 3 5 1 2

6 6 6 6

7. 2 5 1 7

8 8 8 8

8. 4 3 1 2

5 5 5 5

9. 9 5 1 7 10 10 10 10

1

6

109

3

10

9

10

2

10

7

10

4

10

8

10

2

10

1

10


A. Write the fractions as decimals.

1. 1 2. 3

3. 4 4.

5. 3 6. 7

7. 6 8. 3

B. Write the decimals as fractions.

1. 4·6 2. 2·1

3. 1·2 4. 5·3

5. 3·9 6. 0·6

7. 2·2 8. 7·8

1·3

110

1

5

3

5

1

3

1

10

1

1

8

1

6

1

1 8

1 6


Fill in the missing decimals on the number lines.

1. 2 3 2. 5 3. 0 1 Write these decimals on the number line below.

7·6 8·3 7·1 7·4 8·1

4. 7 8 Write these lengths in order smallest to largest.

5. 6·1cm 2.9cm 0·7cm 6·5cm 5·6cm

6. 2·6m 0.9m 0·1m 0·5m 1·2m

2·1

6·2

111

Fractions and decimals 14

A. Write these prices in pence.

1. £2·60 2. £1·73

3. £0·53 4. £2·96

5. £3·99 6. £5·47

B. Write these prices in £.

1. 245p 2. 383p

3. 27p 4. 1096p

5. 199p 6. 704p

C. Write these lengths in metres.

1. 295cm 2. 124cm

3. 345cm 4. 6cm

5. 27cm 6. 1162cm

260p

112

Fractions and decimals 15

A. Write these prices in pence.

1. £1·72 2. £6·03

3. £0·97 4. £1·16

5. £0·09 6. £9·40

B. Write these prices in £.

1. 5p 2. 16p

3. 78p 4. 746p

5. 249p 6. 101p

C. Write these prices in order, highest to lowest.

1. £1·47 £0·19 45p £2·76 91p

2. £0·04 6p 60p £1·02 £2·11

3. 301p £0·01 £2·20 423p £0·31

113

1

2

1

4

1

8

1

6


A. Work out of these amounts.

1. = 2. =

3. = 4. =

5. = 6. =

7. = 8. =

B. Work out of these amounts.

1. = 2. =

3. = 4. =

5. = 6. =

7. = 8. =

C. Work out of these amounts.

1. = 2. =

3. = 4. =

D. Work out of these amounts.

1. = 2. =

3. = 4. =

250 125 900

26 58

108 130

750 690

16 40

80 800

36 1000

300 900

800 160

240 320

360 600

180 240

114

2

5

3

4

2

3

5

6


A. Work out of these amounts.

1. = 2. =

3. = 4. =

5. = 6. =

7. = 8. =

B. Work out of these amounts.

1. = 2. =

3. = 4. =

5. = 6. =

7. = 8. =

C. Work out of these amounts.

1. = 2. =

3. = 4. =

D. Work out of these amounts.

1. = 2. =

3. = 4. =

16 12 400

100 24

1000 600

48 96

9 18

24 21

36 99

300 75

20 30

600 150

36 600

180 240

115

1

5

3

5

1 5

2 6

1 6

1 4

3 4

3 4

1 4

1 4

1 6

1

6

4

6

5 6

5

6

4 5

3

5

1

5

2

5

4

5

1

2

1

4

3

4

1

4

1 2

1

8

6 8

7 8

5

8

3

8


Fill in the missing fractions on the number lines.

1.

3 3 3 4 5

2.

8 8 9 10

Put these mixed number in order starting with the

smallest.

3. 4 2 3 2 3

4. 6 3 5 3 5

5. 5 4 3 4 3

Draw a number line and put these mixed numbers in the

correct place.

6. 4 5 3 4 3

______________________________________________

7. 6 5 7 5 6

______________________________________________

116

1 5

3 5

2 6

1 5

1

2

1

5

3

5

1 2

1

3

2 4

1

5

3

5

1

2


Fill in the missing fractions

1. 2.

0 1 0 1 0 1

4. 5.

0 1 0 1

6.

0 1

7.

0 1

Use the fractions above to fill in the table

less than equal to greater than

3.

1

8

1

10

1 2

1

2

1

2

3

6

117

Factions and Decimals 20

1. Divide the wall into fractions that are equal to

one quarter.

2. Write the fractions equivalent to

______________________________________________


______________________________________________

4. Divide the wall into fractions that are equal to

one fifth.


______________________________________________


______________________________________________

1

4

3

4

4 4

3

5

4 4

1

5

4 4

118


Work out the answer to these fraction problems.

Draw a diagram to help you work it out.

1. Mum has four biscuits to share equally between

three children.

How many biscuits does each child get?

2. William has four cakes to share equally between

eight children.

How much cake does each child get?

3. Penny has three packets of crisps to share equally

between eight children.

What fraction of a packet will each child get?

4. Sarah has five cakes to share equally between nine

children.

What fraction of a cake does each child get?

119

1

5

3

5

1 5

1 5


1. Fill in the missing fractions and decimals on the

number line.

0 3 1 1

0·1 0·3 0·7

2. Write each mixed number as a decimal.

a. 5 = ____ b. 3 = ____

c. 10 = ____ d. 12 = ____

3. Write each decimal as a mixed number.

a. 3·4 = ____ b. 15·1 = ____

c. 14·9 = ____ d. 17·2 = ____

4. Write these decimals on the number line below.

6·6 7·1 6·2 6·9 7·4

6 7

5. Write the equivalent fraction below the decimals.

4 4

4

4

4 4

4 4

3

10

4 4

4

10

4 4

7

10

4 4

2

10

4 4

3

10

4 4

9

10

4 4

1

10

4 4

120

1 5

1

5


1. The number line below is in hundredths.


0

2. The number line below is in hundredths.

Fill in the missing decimals.

1·50 1·54 5·58

3. What are the decimals equivalent to these fractions?

a. = _____ b. = _____

c. = _____ d. = _____

4. What are the fractions equivalent to these decimals?

a. 0·78 = _____ b. 0·96 = _____

c. 0·02 = _____ d. 0·17 = _____

4

4

13

100

4 4

111

100

4 4

4

4

4

4

141

100

4 4

4

4

4

4

4

4

4

4

33

100

4 4

56

100

4 4

41

100

4 4

7

100

4 4

4

4

121

Ratio and Proportion 1

1. A clover has three leaves.

a. How many leaves on 3 clovers? ______________

b. If there are 12 leaves, how many clovers are

there?_________

c. Complete the table.

Clover 1 2 3 4 5 6 7 8

Leaves 12 18

Apple 1 2 3 4 5 6 7 8

Pips 15

Pods 1 2 3 4 5 6 7 8

Peas

Bunches 1 2 3 4 5 6 7 8

Grapes 60

2. An apple has 5 pips.

Complete the table.

3. An pea pod has 7 peas.

Complete the table.

4. A bunch of grapes has 12

grapes.

Complete the table.

122


Fill in the missing numbers in these sentences.

1. out of circles is red.

2. out of circles are red.

3. out of circles are red.

4. out of

Continue each letter pattern then complete fill in the

missing numbers.

5. A B B B A B B B 1 in every ___ letters is A.

6. C D C D C D 1 in every ___ letters is C.

7. E E E E F E 1 in every ___ letters is F.

8. G H H G H H 2 in every ___ letters are H.

9. Draw a picture to illustrate ‘3 in every 5’.

10. Draw a picture to illustrate ‘ 4 in every 7’.

1 5

circles are red.

123


Look at the pictures and complete the sentences.

1. ____ in 4 is a triangle. 2. 2 in 8 are triangles.

3. ____ in 12 are triangles. 4. ___ in 16 are triangles.


7. ____ in 15 are triangles 8. ___ in 50 are triangles.



13. ___ in 8 are triangles. 14. ___ in 16 are triangles.

15. 9 in ____ are triangles. 16. 30 in ___ are triangles.

124


Describe the number of blue squares in two ways.

Example

2 out of 3 are blue. are blue.

1.

______________________________________________

2.

______________________________________________

3.

______________________________________________

4.

______________________________________________

5.

______________________________________________

6.

______________________________________________

2

3

4

4

125

Calculator Skills 1

Use your calculator to work out the following

calculations.

1. 36 × 58 = 2. 347 + 457 =

3. 468 – 86 = 4. 19 188 ÷ 78 =

5. 341² = 6. 568 – 267 + 451=

7. 19061 ÷ 389 = 8. 456² =

Experiment with the clear entry key.

Type in the numbers in each sum and then correct them to

the number in brackets before pressing the = key.

Example 35× 29 ( 28) Type in 35 × 29, press the clear

entry (ce) key and then type 28 instead of 29.

Try correcting these examples.

9. 36 × 24(42) = 10. 2808 ÷ 937 (936) =

11. 945- 786 (768) = 12. 579 + 673 (675) =

Try these calculations which all produce negative

numbers.

13. 45 – 56 = 14. 457 – 578 =

15. 781 – 871 = 16. 4789 – 6321 =

17. 947 – 1943 = 18. 6734 – 8935 =

126

Calculator Skills 2

When you use a calculator to work out money

calculations you need to remember to put the £ sign in the

answer. We always write money with two decimal

places, like this £ 2·38.

If the calculator gives an answer with one decimal place,

like this: 4·8.

You will need to write it as £4·80.

If the calculator gives you an answer with more than two

decimal places, like this: 2·6666666, you must write

down the first two decimal places.

You will need to write it as £2·66.

Work out these money sums.

1. £36·17 × 3 = 2. £82·54 ÷ 7 =

3. £32·48 - £23·76 = 4. £47·06 × 8 =

5. £14·29 ÷ 4 = 6. £54·26 ÷ 3 =

7. £64·92 - £46·85 = 8. £94·25 × 10 =

9. £34·26 + £27·54 = 10. £23·79 ÷ 4 =

11. £3·56 + £2·49 + £1·23 = 12. £56·23 × 7 =

13. £4·83 + £9·11 + £2·45 = 14. £67·45 ÷8 =

15. £9·13 + £2·59 + £8·56 = 16. £23·06 ÷ 9 =

127

Calculator skills 3

Sometime we need to calculate two or more steps in a

sum. If there are brackets work them out first.

Example 4 × ( 67 - 49) = 4 × 18 = 72

1. 8 × (36 + 24) =

2. (98 - 82) × (24 -19) =

3. 63 ÷ (68 - 59) =

4. 24 + (267 - 247) =

5. (36 - 27) × (38 - 19) =

6. 49 ÷ (145 - 138) =

7. (7 × 9) - (3 × 7) =

8. (67 - 24) × (235 + 124) =

9. (23 × 9) - (45 + 63) =

10. 3 × (34 - 7) + 63 =

11. (320 ÷ 2) + (7 × 14) =

12. Do these two sums have the same answer?

a. 24 × (12 + 34) = b. 24 × 12 + 34 =

128

Calculator Skills 4

Which two whole numbers do each of these lie between?

Example 57·689 lies between 57 and 58.

1. 84·47 lies between and



In these questions, write down an approximate answer

first. Then work them out and see how close your

approximation was.

Example

29·89 × 3·12 = 30 × 3 = 90 approximately.

29·89 × 3·12 = 93·2568 with the calculator.

My estimate was close.

4. 20·24 × 3·1= approximately.

20·24 × 3·1= with a calculator.

5. 498 ÷ 49·63 = approximately.

498 ÷ 49·63 = with a calculator.

6. 498 ÷ 98·73 = approximately.

498 ÷ 98·73 = with a calculator.

129

Measuring 1

Draw lines of these lengths.

1. 10mm

2. 25 mm

3. 70mm

4. 55mm

5. 5mm

6. Draw a line of 45mm on top write its length in 3

different ways, e.g. 4 cm 5mm or 4·5 cm 4½ cm.

7. Draw a line of 8·2cm and write its length in 3

different ways.

8. Draw a line of 67mm and write its length in 3

different ways.

9. Draw a line of 5·9cm and write its length in 3

different ways.

130

Measuring 2

A. Draw lines of these lengths.

1. 3cm shorter than 89mm

2. 5cm shorter than 67mm

3. 2 cm longer than 34mm

4. 3 cm longer than 55mm

5. 5mm longer than 4cm

B.

Find the same length as each measurement; find its

equivalent in metres or centimetres.

1. 435cm = 4m 35cm

2. 136cm = ______________________________

3. 4m 24cm = ______________________________

4. 3m 8cm = ______________________________

5. 4·67m = ______________________________

6. 0·25m = ______________________________

7 2·78m = ______________________________

131

Measuring 3

A.

Round these lengths to the nearest 10cm

1. 456cm = 460cm

2. 546cm =

3. 503cm =

4. 679cm =

B.

Measure these objects then round to the nearest 10 cm

Actual length Nearest 10 cm

1. The length of this sheet

2. Your pencil

3. Your hand span

4. Your shoe length

5.

6.

Add your own ideas for 5 and 6.

132

3

10

1

10

7

10

3

4

Measuring 4

Write these lengths as a fraction of a metre Example 10cm = m

1. 50cm =

2. 25cm =

3. 75cm =

4. 500mm =

5. 100mm =

Write these lengths in three different ways.

6. 30cm = 300mm = m

7. 90cm = =

8. m = =

9. m = =

10. 250mm = =

11. 100mm = =

12. 50cm = =

13. 25cm = =

14. 300mm = =

133

1

2

3

4

3

4

1

4

Measuring 5

Complete this table by writing in the equivalent

measurement in metres or kilometres.

km m

km 500m

250m

km

700m

900m

2 km

Put these distances order, starting with the smallest.

950m, km, 1 km, 1km, 1km 100m, 905m

134

Measuring 6

Round the weights to the nearest 10g.

1. 2. 3. 4.

Estimate the weights on the scales.

5. 6. 7.

Round the weights to the nearest 10g.

8. 9. 10. 11.

30

20 40

10 50

g

0 60

30

20 40

10 50

g

0 60

30

20 40

10 50

g

0 60

grams grams grams

47g

78g

99g

243g

1111g

606g

323g

2348g

135

1

5

1

2

3

4

1

4

1

10

Measuring 7

Write these weights in grams.

1. kg 2. kg

3. 1kg 4. kg

5. kg 6. kg

7. 5 kg 400g

8. 2 kg 250g

9. 4 kg 600g

10. 3 kg 750g

Write these weights in kilograms

11. 3500g

12. 1250g

13. 7100g

14. 6750g

200g

5400g

3 kg

1

2

136

500g + 500g + 200g

Measuring 8

You have a supply of these standard weights.

Choose the least number of weights to balance these

parcels.

a. b. c.

d. e. f.

a. 1200g =

b. 800g =

c. 1600g =

d. 900g =

e. 400g =

f. 1300g =

100g

200g

500g

1200g 800g 1600g

900g

400g 1300g

137

200g + 50g

Measuring 9

You have a supply of these standard weights.

Choose the least number of weights to balance these

parcels.

a b. c.

d. e. f.

a. 250g =

b. 150g =

c. 950g =

d. 450g =

e. 1900g =

f. 2050g =

100g

200g

500g

250g 150g 950g

450g

1900g

2050g

50g

138

250g + 150g + 170g =

Measuring 10

Work out how much three parcels weigh.

a b. c.

d. e. f.

1. a + b + d =

2. b + c + e =

3. c + d + e =

4. d + f + a =

5. e + b + f =

6. Work out the total weight of all the parcels.

7. Each box weighs 90g.

Find the weight of 12 boxes.

8. Each tube weighs 25g.

Find the weight of 20 tubes.

250g 150g 225g

75g 170g 25g

139

a.

b.

Show your working here.

Measuring 11

1. Look at these biscuit packets. Which one is the best

buy?

a. b.

£0·50 £1.00

2. If each packet contains 20 biscuits what is the weight

of one biscuit from each packet.

3. If an ice cream tub weighs 900grams.

How many 60 gram servings does it hold?

4. If a pizza weighing 375 grams is shared between 5

people how much does each slice weigh?

Chocolate

Snack 200g

200g

Orange Rounds

450g

140

Measuring 12


1. 1 litre = 500ml + ______ml = ________ml

2. litre = 250ml + ______ ml = ________ml

3. litre = _____ml

4. litre = _____ml + ______ml = _______ml

5. litre = _____ml

6. litre = _____ ml

1 litre 250ml 2 litres 200ml

7. The apple juice box holds _____ ml

8. The apple juice box will fill ____ tall glasses.

9. The jug holds _____ml

10. The jug will fill _____wine glasses.

1

2

3

4

1

4

1

10

3

10

141

Measuring 13

Write the amount of liquid in each measuring cylinder.

1. 2. 3. 4.

Answer the questions

5. How much is in cylinder 1. if 250ml is added?

6. How much is in cylinder 2. if 190ml is taken?

7. How much is in cylinder 3. if 425ml is added?

8. How much is in cylinder 4. if 560ml is taken?

9. How much is in all the cylinders altogether?

-700 ml

-

-600 ml

-

-500 ml

-

-400 ml

-

-300 ml

-

-200 ml

-

-100 ml

-

-1000 ml

-

-900 ml

-

-800 ml

-

-700 ml

-

-600 ml

-

-500 ml

-

-400 ml

-

- 300ml

-

- 200ml

-

- 100ml

-

-

-700 ml

-

-600 ml

-

-500 ml

-

-400 ml

-

-300 ml

-

-200 ml

-

-100 ml

-

-1000 ml

-

-900 ml

-

-800 ml

-

-700 ml

-

-600 ml

-

-500 ml

-

-400 ml

-

- 300ml

-

- 200ml

-

- 100ml

-

-

142

1.

2.

3.

4.

Measuring 14

The amount of liquid each container holds is written in

millilitres. Write each amount in four different ways.

Example 2·5l 2 l

2 l 500ml 2000ml + 500ml

Round the capacities below to the nearest 10 ml then

100ml.

a. 1768ml _____________ _______________

b. 1517ml _____________ _______________

c. 4251ml _____________ _______________

2500ml

1

2

6500ml

3250ml

1750ml

143

Measuring 15

750ml 1 l 1 l 500ml 150ml 200ml

Answer these questions about capacity.

1. Which container has the least capacity?

2. How many mugs of water does container A hold?

3. How many glasses does jug C fill?

4. How many mugs does container B fill?

5. Container D can fill ____ mugs and 1 glass.

6. Two containers B will fill ______ glasses.

7. If you pour a glass from jug C. How much is left?

8. If you pour a mug from jug D. How much is left?

9. How many mugs of water have the same capacity as

Two container A’s?

1

2

A B C D E F

144

Measuring 16

glass cup teapot vase bottle

Containers

Use the bar chart to answer these questions about

1. Which container has the greatest capacity?

2. What is the capacity of the teapot?

3. How many cups does the bottle fill?

4. How many glasses have the same capacity as the

5. You pour two glasses from the bottle, how much is

6. You pour a cup from the teapot, how much is left?

7. What is the capacity of the teapot and the bottle?

Capacity in

millilitres

200

400

600

800

1000

capacity.

vase?

left?

145

Measuring 17

Answer these capacity problems.

1. When cooking pasta, you need 5 cups of water to

every cup of pasta.

You cook 3 cups of pasta.

a. How many cups of water do you need? ______

b. A cup holds 200ml. You need a saucepan

which is 500ml larger than the water.

What is the smallest capacity saucepan you can

use? __________________________

2. A medicine bottle holds 250 ml.

a. How many 10 ml spoons does it hold? _______

b. You have two spoons a day for 5 days.

How much is left in the bottle? __________

3. In each 200 ml drink 15 ml is lime juice.

The rest is water.

How many millilitres of water do you need for 3

drinks?

__________________________________________

146

3

4

2

3

3

8

6

10

2

5



1. + ___ = 1 2. + ___ = 1

3. + ___ = 1 4. + ___ = 1

Write two fractions for the red circles.

5. 6.

______= ______ ______ = ______

7. Work out of these amounts.

a. = b. =

c. = d. =

8. Write each decimal as a mixed number fraction.

a. 4·6 = ____ b. 12·22 = ____

9. Round these lengths to the nearest 10cm

a. 435cm ______b. 912cm _____ c. 1001cm _____

10. Fill in the missing amounts.

a. A juice box holds 1 litre this is _____ ml.

b. The juice box will fill ____ 200 ml glasses.

50 70

200 340

147

8:07

Time 1

Write the time on each clock in words.

1. 2. 3.

4. 5. 6.

Complete these time sequences.

7. 4:00 4:01 4:02 _____ _____ ______

8. 12:30 12:32 12:34 _____ _____ ______

9. 2:54 2:56 2:58 _____ _____ ______

10. 9:23 9:26 9:29 _____ _____ ______

5:25 1:40

148

Time 2

Write these times in three ways.

1. 3:48 Three forty eight

Forty-Eight minutes past three

Twelve minutes to four

2. 6:34 __________________________________

__________________________________

__________________________________

3. 10:57 __________________________________

__________________________________

__________________________________

4. 11:41 __________________________________

__________________________________

__________________________________

5. This clock shows 10:31.

What time will it show

6. Look at the time on this clock.

Write in digital form the time

Time 3

a. in 1 hour’s time ____________________

b. in half an hour ____________________

c. in 6 minutes ____________________

d. in 34 minutes? ____________________

a. 2 hour’s earlier _______________

b. 15 minutes earlier _______________

c. 30 minutes earlier _______________

7:24

149

Time 3

Here are the results of a skipping race.

Jayne 55 seconds

Philip 72 seconds

Julia 59 seconds

Wayne 61 seconds

Sheila 64 seconds

Paul 57 seconds

1. Write the names of the children who finished in

under a minute______________________________

2. Write the names and times in minutes and seconds of

children who finished in over a minute.

__________________________________________

3. Here are the results of a cycling race.

Fill in the cycle race times in hours and minutes.

Time in hours and minutes

Mr Smith 120 minutes ______________________

Mr Yang 132 minutes ______________________

Mr Brown 115 minutes ______________________

Mr Carter 143 minutes ______________________

Mr Snape 119 minutes ______________________

4. The race began at 9:30 write the time each cyclist

finished on a digital clock.

a. Mr Smith __________ b. Mr Yang __________

c. Mr Brown __________ d. Mr Carter__________

e. Mr Snape __________

150

Time 4

1. Bus A leaves Station Road and completes a circular

route around town. The bus takes 5 minutes between

each stop.

Complete the bus timetable

Station Road 9:05

High Street 9:45 11:35

Old Town

Hospital 10:35

Station Road 11:15

2. How long does it take to travel round the circuit?

________________________________________

3 How long does the bus wait at Station Road?

_________________________________________

4. Bus B makes regular trips from Station Road to City

Airport. The travel time is 35minutes.

Complete the timetable.

Bus Number Station Road City Airport

1 8:05 am

2 9:15 am

3 10:25 am

4 11:35 am

5 12:45 pm

5. Bus number 2 leaves 15 minutes late. What time

does it arrive at City Airport? ____________

151

Shape 1

Below is a set of quadrilaterals. Colour the squares

yellow, the rectangles brown, the parallelograms red,

the trapeziums blue and the rhombus green.

rhombus

parallelogram

square

f

rectangle

trapezium

kite

i rectangle trapezium

kite parallelogram

1. Which shapes do not have parallel lines?________

2. Draw a square, rectangle, rhombus, parallelogram,

kite and trapezium.

a

b

d

j

h

c

e

g

152

Shape 2

Find the perimeter of these shapes.

4cm

1. 2. 4cm 4cm 4 cm 4cm 6cm

4cm

4cm

Perimeter =____cm Perimeter =____cm

Find the perimeter of these shapes made from 1cm

squares.

3. 4.

___ cm ___cm

5. ___ cm 6. ___ cm

7. 8.

___cm ___cm

9. 10.

___cm ___cm

Colour shapes with the same perimeter the same colour.

153

Shape 3

Draw as many shapes as you can with a 12-unit perimeter.

1. If the perimeter of a square is 24 cm. How many cm

is one side? _____

2. Now draw a rectangle with the same perimeter as

the square (24cm)

154

Shape 4

Colour the right angled triangles red, the equilateral

triangles green and the isosceles triangles blue.

Sort these triangles into the right sets.

equilateral isosceles right-angled other

h

5

4

1

f

3

2

6

d

7

a

b

c

e

g

i j

155

Shape 5

Name each of these polygons.

rectangle _________

____________ d ________

e ____________ _____________

Fill in the correct word to complete each description.

hexagons quadrilateral heptagons isosceles

equilateral octagons

1. An _________________ triangle is an example of a

regular polygon.

2. All shapes with six sides are _______________.

3. An ___________________ triangle is an example

of an irregular polygon.

4. All________________ have seven sides.

5. A _____________________ is any shape with four

straight sides.

6. All ______________ have eight sides.

a

f

c

b

156

Shape 6

d

Use the diagrams to sort these shapes

regular

irregular

has line symmetry

has no line symmetry

has 5 or more sides

has less than 5 sides

a e b c

f g

h i j

triangle quadrilateral

a

regular irregular

regular irregular

k

157

Shape 7

Match the shapes to their label

a b c

d e f

g h i

Complete the table using the shapes above.

Shape Is a

prism

Number

of faces

Number

of

edges

Number

of

corners

cone × 2 1 1

1. cuboid 2. cylinder 3. square pyramid 4. hemisphere 5. cone

7. hexagonal prism 8. cube 9. triangular prism 6. triangular pyramid

158

Shape 8

Name the solids made from each net.

1. 2.

______________________ ______________________

3. 4.

_______________________ _____________________

5. 6.

______________________ _______________

159

Shape 9

Write the co-ordinates for the shapes on the grid below.

8

7

6

5

4

3

2

1

0 1 2 3 4 5 6 7 8

Mark each place on the grid with the correct letter.

A at (2 , 6) B at ( , ) C at ( , ) D at ( , )

E at ( , ) F at ( , )

A

C

B

E

D

F

160

Shape 10

Count the number of small squares in each shape to find

its area.

B

A

C

c

m

E

F

Draw a rectangle 9 cm long and 4 cm wide on the squares

below. Write its area.

D

8cm²

cm²

cm²

cm²

cm²

cm²

161

Shape 11

Draw these rectangles on the squares below.

1. 6 cm long and 3 cm wide, the area is



4. 5 cm long and 5cm wide, the area is

cm²

cm²

cm²

cm²

162

1

2

c

Shape 12

You can only see part of these shapes. Complete each

one. The area of each shape is shown.

Draw a shape with an area of 12 cm²

1. 18 cm² 2. 21 cm²

3. 16 cm² 4. 24 cm²

163

1

2

1

2

1

2

1

2

Shape 13

Draw shapes with these areas on the squares below.

1. 16 square centimetres 2. 4 square centimetres



164

Shape 14

Draw the next 3 shapes in the sequence.

Complete the table

Number of shape Area in cm² Perimeter in cm

What is the area_______ and perimeter______

of the 12th shape?

1 2 3

4 5

6 7

165

Shape 15

Draw over these shapes. Colour the horizontal lines red,

the vertical lines blue and the diagonal lines, green.

166

Shape 16

Measure the radius and diameter of these circles to the

nearest half centimetre.

1. 2.

3. 4.

diameter

radius

radius

diameter

diameter

radius

diameter

radius

diameter

radius

167

NE NW

SW SE

Shape 17

Look at the farm map then complete the sentences about

direction.

1. The ploughed field is East of the house.

2. The wood is _________ of the house.

3. The pig pen is ________ of the house.

4. The hay barn is ____________ of the house.

5. The wheat field is __________of the horse field.

6. The horse field is ___________ of the wood.

7. The windmill is __________ of the ploughed field.

8. The cow field is ____________ of the barn.

W

N

S

E

168

Shape 18

Look at the map on page 167.

Imagine you are in the farmhouse.

1. Face the horse field turn clockwise through 90º.

a. What direction are you facing?

b. What do you see?

2. Face the pig pen turn anti-clockwise through 90º.


b. What do you see?

3. Face the wood turn clockwise through 90º then 45º.


b. What do you see?

4. Face the cow field turn anti – clock wise to face the

wheat field.

a. How many degrees have you turned?

5. Face the wood turn anti-clock wise to face the barn.

a. How many degrees have you turned?

169

Shape 19

Count the number of squares in each shape to find its

area.

B

A

C

D

E

F

1. A = squares B = squares

C = squares D = squares

E = squares F = squares

2. Which shape has the largest area? ______________

3. Which shape has the smallest area? _____________

170

Shape 20

You will need a 45º, 45º, 90º set square and a ruler.

1. Divide this semi-circle into two right angles.

3. Divide this shape into two 90º and a 45º.

4. Draw a part circle divided into three 90º and 45º.

2. Draw a right angle triangle with two sides 6cm long.

Divide it into 45º parts.

171

Shape 21

Look at the shapes below.

Write the numbers of the shapes which have:

1. One angle of 90º ___________________________

2. Four angles of 90º __________________________

3. Two angles of 90º __________________________

11

4

2

1

8

3

5

9

7

10

6

172

Handling Data 1

Simon asked people questions about a visit to a funfair.

He made a tally chart for each question. Fill in the

missing frequencies and answer the questions.

1.

Ride Tally Frequency

Dodgems ||̷|| |||

Big Wheel |||̷| |||̷| ||

Roller Coaster ||̷|| ||̷|| ||̷|| |

Roundabout ||̷|| ||

a. How many people like the roundabout best?

b. What is the frequency for the Big Wheel?

c. What is the highest frequency?

d. How many people did Simon ask altogether?

2.

Eating Place Tally Frequency

Pizza Parlour ||̷|| ||||

Burger Bar |||̷| |

Café ||̷|| ||̷|| ||

Fish & Chip Shop ||̷|| ||̷||

a. What is the most popular place to eat?

b. How many people did Simon ask?

c. How many more people ate at the Pizza

Parlour than the Burger Bar?

173

Handling Data 2

Fill in the missing tally marks and answer the questions.

1. Favourite Meal

Meal Tally Frequency

Pizza 14

Burger 9

Roast Dinner 16

Fish and Chips 12

a. How many more people like pizza better

than a burger?

b. Which meal has the highest frequency?

c. How many people did Simon ask altogether?

Roll a dice and make a tally chart of the most frequent

numbers. Stop when one number tallies 15.

Numbers Rolled

Number Tally Frequency

1

2

3

4

5

6

a. What is the most frequent number?

b. How many times did you roll the dice?

174

Handling Data 3

Fill in the tally chart, which represents the foods shown in

the pictogram below.

1. Favourite Food

Food Tally Frequency

Cake

biscuit

ice cream

pizza

Favourite Food

cake

biscuits

ice cream

pizza

Key = 2 foods

Answer these questions about favourite foods.

1. What was the least frequent food?

2. How many people liked ice cream best?

3. What was the difference between cake and pizza?

4. How many people took part in the survey?

175

Handling Data 4

These words are the names of vegetables, trees, furniture

and cities.

Complete the tally chart and make a tally mark for each

word. Then complete the pictogram. Use to

represent five words.

Name Tally Frequency

vegetable

tree

furniture

city

Names

Vegetable

Tree

Furniture

City

Key _________________________

1. How many names of trees are there?

2. What is the frequency of city words?

3. What is the highest frequency name?

chestnut table carrot Paris chair oak ash cabbage yew

London wardrobe runner bean pine Cardiff courgette elm

shelf beetroot bed Glasgow garlic Dublin stool onion

piano cauliflower New York cupboard Tokyo leek cot

lettuce palm holly pepper Sidney Moscow mushroom

potato Madrid sofa parsnip Liverpool Birmingham pea

sycamore pumpkin radish Manchester cucumber turnip Leeds

broad bean maple Bristol

176

Handling Data 5

Count the different shapes.

Complete the frequency table. Then complete the

pictogram. Use to represent four shapes.

Shape Tally Frequency

circle

triangle

pentagon

rectangle

Shapes

circle

triangle

pentagon

rectangle

Key _________________________

1. What is the highest frequency shape?

2. How many shapes are there altogether?

177

Handling Data 6

Here are the results for class 4’s favourite pet

questionnaire.

Fill in the missing numbers on the table.

Pet dog cat fish horse mouse Number

of

Children

2

Class 4’s favourite Pets

9:0 dog cat fish horse mouse

Pet

1. 8 children chose cat. Draw the bar.

2. How many children chose horse?

3. Which is the most popular pet?

4. How many more children chose cat than fish?

5. Which is the least popular pet?

Number of

Children

Number of

Children

16

0

4

8

12

178

Handling Data 7

Here are the results for class 4’s favourite biscuit

questionnaire.

Finish the bar chart.

Biscuit chocolate bourbon custard

cream jammy

dodger

rich tea

Number

of

Children

14 7 12 5 2

Class 4’s favourite biscuits

9:0

Biscuit

1. Which biscuit is the most popular?

2. How many children chose custard cream than

bourbon ?

3. How many chose chocolate or jammy dodger?

4. How many children answered the questionnaire?

Number of

Children

Number of

Children

16

0

4

8

12

179

Handling Data 8

Sam rolled a die many times. The bar chart shows his

results.

Numbers rolled with a die

1 2 3 4 5 6 Number rolled

1. How many times did he throw 4?

2. Which number was thrown 10 times?

3. How many more 3s than 2s did he throw?

4. How many times did he throw the die altogether?

5. Complete Sam’s tally chart.

Numbers Rolled Number Tally Number of rolls

1

2

3

4

5

6

Number

Children

Number of

rolls

16

0

4

8

12

180

Handling Data 9

This table shows the fruit sold in the Corner Shop in one Fruit Sold Fruit Number Sold

apples 36

bananas 32

plums 28

pears 15

oranges 31

lemons 8

Complete the bar chart for fruit sold.

Choose your own scale for the vertical axis.

Then draw another bar chart using a different scale for the

vertical axis.

Fruit sold in the Corner Shop in one day


Number

of fruit

sold

day.

Number

of fruit

sold

181

Handling Data 10

This table shows the fruit sold in the Village Shop in one Fruit Sold Fruit Number Sold

apples 60

bananas 52

plums 36

pears 28

oranges 45

lemons 16

Complete the bar chart for fruit sold.

Choose your own scale for the vertical axis.

Then draw another bar chart using a different scale for the

vertical axis.

Fruit sold in the Village Shop in one day


Number

of fruit

sold

day.

Number

of fruit

sold

182

Handling Data 11

Here are the results for class 4’s survey of traffic passing

the school.

Vehicle car lorry bus bike van Number

of

Children

38 7 6 10 24

Complete the bar chart

Class 4’s Traffic Survey

9:0

Vehicle

1. What is the most common vehicle?

2. How many more vans are there than lorries?

3. If the data was collected at 11p.m., how might the

data be different? ___________________________

______________________________________________

Number of

Children

Number of

vehicles

40

0

10

20

30

183

Handling Data 12

Sort these numbers into the Venn Diagrams below.

2 3 4 5 6 8 10 12 15 16 17 20 21 24 25

28 30 32 33 35 36 40 42

multiples of 3 multiples of 4


184

Handling Data 13

Sort these numbers into the Venn Diagrams below.

2 3 4 5 6 8 9 10 12 15 16 17 18 20 21 22

24 25 26 28 30 34 35 36 38 40 45 50 60



185

Handling Data 14

Write each number in the correct space on the Carroll

diagram below.

circle triangle

Less than 40

40 or more

Use the same numbers and write each number in the

correct space on the Carroll diagram below.

odd even

Between

30 and 60

Not between

30 and 60

32 14 93 36

7 25 8

17 82

88

22

57 19 52 22

16

63 44

64 18

27 23

35

186

Handling Data 15

Write each number in the correct space on the Carroll

diagram below.

blue yellow

even

odd

1. How many odd numbers are there altogether? ______

2. How many blue numbers are even? ________

3. How many yellow numbers are odd? _______

4. How many even numbers are yellow? _______

5. How many even numbers are there altogether? _____

30 50

78

24

9

36 25

14 8

12 84

37 23

19

54 35

22 13

11

40 20

187

Handling Data 16

Some children in Class 4 wrote down how they travel to

school.

Sam bus red, Tina car silver, Jake bike red

Jim walk Paul car red Sally car blue

Toni car silver Hal bus red Jade walk

Cal walk Kay car green Pip car blue

Mary car red Tom car yellow Luke bike red

Fill in the Carroll diagram. Write the children’s names to

show how they travel to school.

Travel by car Do not travel by

car

Use a red vehicle

Do not use a red

vehicle

1. How many children use a red vehicle? _________

2. How many children do not use a red vehicle? _____

3. How many children travel by car? _______

4. How many children were in the survey? _______

188

Handling Data 17

Use the information how class 4 travel to school to

complete the Venn diagram.

1. How many children travel by car? ________

2. How many children use a red vehicle? _______

3. How many children do not travel by car and do not

use a red vehicle? _________

4. How many children travel in a red car? ______

Draw a Venn diagram for the data using different

headings.

Travel by car Use a red vehicle

189

Number Problems 1

Add these consecutive numbers.

1. 5 + 6 + 7 =

2. 10 + 11 + 12 =

3. 7 + 8 + 9 + 10 =

Find consecutive numbers that add together to make each

of these numbers.

4. 0 + = 1

5. 1 + = 3

6. + = 5

7. + + = 6

8. = 7

9. = 9

10. = 10

11. = 11

12. = 12

190

Number Problems 2

Find consecutive numbers that add together to make each

of these numbers.

1. 6 + = 13

2. + + + = 14

3. + = 15

4. + = 17

5. = 18

6. = 19

7. = 20

Find all the numbers that can be made by adding two

consecutive numbers from 1 to 9.

11. 1 + 2 = 3, _________________________________

_________________________________________

_________________________________________

__________________________________________

7

191

Number Problems 3

Work out the problems. Decide which method you are

going to use.

1. Paul read for 25 minutes then drew for 18 minutes.

How long did it take altogether?

2. Pamela has 56p. How much more money does she

need to make £1?

3. Josh 100 marbles he loses 27. How many marbles

does he have left?

4. Monika has £3·17 and she is given 58p.

How much does she have altogether?

5. Jenny is counting beads. She has 345 altogether.

Jenny has 86 red beads and 124 blue beads.

How many other coloured ones does she have?

6. Jack wants to buy a game costing £15. He has £7·50

and is saving £1·50 a week. How long before Jack

has saved enough money?

7. Tilly has £10. She spends £3·50 on a book and

£2·37 on a present. How much money does she

have left?

8. There are 189 children in the hall. 75 children leave

the hall how many are left?

192

Number Problems 4

At the Library

1. In the history section there are 48 books on the top

shelf and 76 books on the bottom shelf. How many

history books are there altogether?

______________________________________________

2. There were 234 picture books in the library.

Last week 95 were taken out. How many books

were left?

______________________________________________

3. On Monday 56 books were taken out. On Tuesday

44 and on Wednesday 28. How many books were

taken out altogether?

______________________________________________

4. There are 167 science books. 48 were damaged and

had to be removed. How many were left?

______________________________________________

5. In the reference section there are 77 books on the top

shelf, 116 on the middle shelf and 146 on the bottom

shelf. How many reference books are there

altogether?

______________________________________________

193

Investigate the totals you can make by adding and subtracting 1,2,3.

Remember to do the calculations inside the brackets first.

Investigate the totals you can make by adding and subtracting 1,2,3,4.

Number Problems 5

1. (1+2) -3 =

2. (1+2) + 3 =

3. (3+1) - 2 =

4. (3-2) +1 =

5. 3- (1+2) =

6. (3+2) -1 =

7. (1+2) + (3+4) =

8. (4+3) - (1+2) =

9. (1 + 2 + 3) – 4 =

10. (3-1) + 2 + 4 =

11. (3+4+1)-2 =

12. (4+2)-(3-1) =

13. (4-3) + (2-1) =

194

Investigate the totals you can make by adding, subtracting,

multiplying and dividing 1,2,3,4.

Remember to do the calculations inside the brackets first.

Number Problem 6

1. (3×2) - 4 -1 =

2. (1+2) + (3×4) =

3. (3×1) – (4÷2) =

4. 2+(4×1) ÷ 3 =

5. 4+(3+1) ÷ 2 =

6. (4-2) + 1+3 =

7. (4÷2) × (3÷1) =

8. (3+1+2) – 4 =

9. (12÷3) + 4 =

10. (14×2) – 3 =

11. (32÷4) + 1 =

12. (24÷3) –1 =

13. (14-3)+2 =

195

Number Problems 7

Use different combinations of 3 numbers to make 16

1.

2.

3.

4.

5.

6.


7.

8.

9.


10.

11.

12.

16 8 +1+

16

16

16

16

16

10

10

10

12

12

12

1 2 3 4 5 6 7 8 9

196

Number Problems 8

Solve the puzzles. Write the missing numbers

1. Each side must add 2. Each side must add

up to 50. up to 100.

3. Each side must add 4. Each side must add

up to 150. up to 130.

5. Match the pairs of numbers that add up to 400.

20 10

30 10

20 30

10

20

30 20

10

60

10 40

40 60

375 95

215

235 205 325

225 245

175

165 75 305

197

Number Problems 9

1.

Use different combinations of 3 numbers to make 15.

a.

b.

c.

d.

e.

f.

2.

Use the digits 1 to 9, complete the squares so that all the

rows, columns and diagonals total 15.

Use the first box to practice, then fill in the second.

15

15

15

15

15

15

1 2 3 4 5 6 7 8 9

198

Number Problems 10

Find the mystery numbers.

1. I am an even number.

I am between 30 and 35.

I am a multiple of 8.

What number am I? ___________

2. 1 am a multiple of 5.

I am between 20 and 50.

My digits are consecutive.

What number am I?____________

3. I am an odd number.

I am less than 50.

I am a multiple of 3 and 7.

What number am I?______________

4. I think of a number.

I multiply by 6 and then add 2.

The answer is 44.

What number am 1?______________

5. I think of a number.

My double is half of 40.

What number am I?______________

6. 1 think of a number.

I add 4 and then multiply by 6.

The answer is 36.

What number am I._______________

199

Number Problems 11


Use the digits 1, 2, 4 or 5 to make each statement true.

1. ____ ____ + _____ = 19

2. ____ ____ - _____ = 16

3. ____ ____ + _____ _____ = 39

4. ____ ____ × _____ = 48

5. ____ ____ × _____ = 30

6. ____ ____ ÷ 4 = 3

7. ____ ____ + _____ _____ = 75

8. ____ ____ - _____ ____ = 33

Use the digits 2 4 6 9 to make each statement true.

9. ____ ____ - ____ _____ = 45

10. ____ ____ ÷ ____ = 32

11. ____ ____ + ____ ____ = 93

12. ____ ____ × _____ = 104

13. ____ ____ × _____ = 98

14. ____ ____ ____ + _____ = 435

200

Number Problems 12

Answer these money problems. Decide which operation

to use. Approximate the answer then work it out.

1. The baker sold 4 cakes at £6·29 each.

How much was that altogether?

2. The baker spent £27 on four bags of flour.

How much did each bag of flour cost?

3. Mrs Brown spent £1·75 on each of five days a week

at the bakery. How much did she spend in a week?

4. A school spent £79 at the bakery to buy party cakes

for 10 different classes.

How much was spent on each class?

5. The school cook spent £56 a week at the bakery.

How much will she have spent in three weeks?

201

Number Problems 13

Try to work out these problems in your head.

1. I am thinking of a number. If I subtract 8 and then

subtract 4 I am left with 10.

What was the number?

2. If 222 children are in the hall. 121 children are in the

girls. How many children are boys?

3. I am thinking of a number. If I add 12 and 15, then

subtract 6. I get 50.

What number was I thinking of?

4. I have £10. I spend some money in the toy shop and

£3·50 on a book. I have £2·00 left.

How much did I spend in the toy shop?

5. Paul has 34p, Tom has 26p and Tony has 19p.

How much money do they have together?

6. I am thinking of a number it is even. It contains two

consecutive numbers. It is less than 20.

What is my number?

7. Frank has 27 sweets he gives 12 to Joe and 9 to

Peter. How many sweets does he have left?

8. Jackie reads 4 books every week for 9 weeks.

How many books has she read?

202

1 5

3 5

1 3

How are you doing 4?

1. Mark the decimals on the number line. a. 0·7 b. 1·3

0 1 2. Find the area of the shapes. A ____cm² B____cm².

3. Find the perimeter of the shapes.

A ____cm B _____ cm.

4. Put these numbers in the correct place on the Carroll

Diagram. 7 9 16 12 30 15 22 18 25 28 36

multiples of 3 not multiples of 3

odd numbers

even numbers

5. Fill in the missing numbers.

a. (4×2) + 5 -1 = b. (28÷4) + ( 6×3) =

A

B

203

Answers

Place, value and ordering 1 page 3

1. 1471 2. 2681 3. 2462 4. 9606 5. 9850 6. 1787 7. 8610

8. 2519 9. one thousand six hundred and thirty seven

10. eight thousand two hundred and ninety four

11. 2709 2749 2794 2885 2898 12. 5766 5732 5723 5629 5619


1. 400 2. 90 3. 3000 4. 300 5. 8 6. 800 7. 7000 8. 60

9. a. 20 b. 30 c. 50 d. 50 e. 80 10. a. 310 b. 330 c. 360

d. 380 e. 430 11. a. 660 b. 690 c. 710 d. 750 e. 790


1. 5,7,9,11,13,15,17,19,21,23 2. 20,24,28,32,36,40,44,48,52

3. 57,59,61,63,65,67,69,71,73 4. 35,39,43,47,51,55,59,63,67

5. 300,350,400,450,500,550,600 6. 50,100,150,200,250,300,350

7. 750,700,650,600,550,500,450 8. 400,350,300,250,200,150,100

9. 100,125,150,175,200,225,250 10. 350,375,400,425,450,475,500

11. 425,400,375,350,325,300,275 12. 550,525,500,475,450,425,400


1. 4,8,12,16,20,24,28,32,36 2. 15,18,21,24,27,30,33,36,39

3. 10,15,20,25,30,35,40,45 4. -50,-45,-40,-35,-30,-25,-20,-15,-10

5. -8,-6,-4,-2,0,2,4,6 6. 6,12,18,24,30,36,42,48,54

7. 30,20,10,0,-10,-20,-30,-40 8. -20,-15,-10,-5,0,5,10,15,20

9. 0,25,50,75,100,125,150,175 10. -125,-100,-75,-50,-25,0,25,50

11. 75,50,25,0-25,-50,-75,-100 12. -50,0,50,100,150,200,250,300

13. -200,-150,-100,-50,0,50,100,150 14. 400,300,200,100,0,-100,-200,-300


odd even

1. true 2. true 3. false 4. false 5. true 6. true 7. true 8, true


1. 4ºC 2. -2º 3. -5º 4. 0ºC

67 123

11 371

23 945

56 200

42 96 6 566

204


1. -1ºC 2. -3 ºC 3. 4 ºC 4. -3 ºC


1.

2.

3.

4.

5. -6 6. -12 7. -7 8. -8 9. -9 10. -2


1. ˂ 2. ˃ 3. ˃ 4. ˂ 5. ˂ 6. ˂ 7. = 8. ˃

9. ˂ 10. ˃ 11. ˂ 12. ˃ 13. ˃ 14. = 15. ˂ 16. ˃


1. 3565 3655 5356 5635 6356 2. 2043 2340 2430 4023 4032

3. 3080 3800 8003 8030 8300 4. ˃ 5. ˂ 6. ˂ 7. ˂

8. ˃ 9. ˃ 10. ˂ 11. ˃ 12. ˂ 13. ˃ 14. ˂ 15. ˃

16. ˂ 17. ˂ Place, value and ordering 11 page 13

1. 7·3 2. 2·8 3. 3·2 4. 9·6 5. 7·0 6. 1·1 7. 8·7 8. 10·0 9. 4·03 4·23 4·32 4·67 ·4·76 10. 1·08 1·88 8·01 8·18 8·81

11. 5·95 5·99 6 6·95 12. 7 13. 3 14. 30 15. 8 16. 7 17. 1

18. 46 19. 2

80 -60 -40 0 40 -50 -30 -20 -10 10

0

20

0

30 50

0

60 70

200 -150 -100 0 100 -125 -75 -50 -25 25

0

50

0

75 125 150 175

40 -30 -20 0 20 -25 -15 -10 -5 5 10

0

15 25 30

0 35

0

88 -66 -44 0 44 -55 -33 -22 -11 11 22 33 55 66 77

205

Addition 1 page 14

1. 7+7=14 14 +1=15 2. 12+12=24 24+1=25 3. 15+15=30 30+1=31

4. 22+22=44 44+1=45 5. 42+42=84 84+1=85 6. 34+34=68 68+1=69

7. 30+30=60 60-1=59 8. 64+64=128 128-1=127 9. 42+42=84 84+2=86

10. 85+85= 170+3=173 11. 64+64=128 128+3=131

12. 73+73=146 146+4=150 13. 86+86=172 172+3=175

14. 62+62=124 124+4=128

Addition 2 page 15

1. 74 + 57 = 74 + 6 + 50 + 1 =

2. 17 + 29 = 17 + 3 + 20 + 6 = 46

3. 35 + 67 = 35 + 5 + 60 + 2 = 102

4. 48 + 33 = 48 + 2 + 30 + 1 = 81

5. 46 + 55 = 46 + 4 + 50 + 1 = 101

+6 +50 +1

74 80 130 131

131

+3 +20 +6

17 20 40 46

+5 +60 +2

35 40 100 102

+2 +30 +1

48 50 80 81

+4 +50 +1

46 50 100 101

206

Addition 3 page 16

1. 57 + 45 = 57 + 3 + 40 + 2 =

2. 68 + 83 = 68 + 2 + 80 + 1 = 151

3. 146 + 57 = 146 + 4 + 50 + 3 = 203

4. 145 + 183 = 145 + 5 + 170 + 8 = 328

5. 116 + 125 = 116 + 4 + 120 + 1 = 241

Addition 4 page 17

1. 326 + 149 = 326 + 4 +140 + 5 =

+3 +40 +2

57 60 100 102

102

+2 +80 +1

68 70 150 151

+4 +50 +3

146 150 200 203

+5 +170 +8

145 150 320 328

+4 +120 +1

116 120 240 241

+4 +140 +5

326 330 470 475

475

207

2. 274 + 103 = 274 + 6 + 90 + 6 = 377

3. 145 + 143 = 146 + 5 + 130 + 8 = 288

4. 348 + 296 = 348 + 2 + 290 + 4 = 644

5. 516 + 265 = 516 + 4 + 260 + 1 = 781

Addition 5 page 18

1. 286 2. 105 3. 626 4. 306

+ 13 +73 + 42 +493

9 units 8 units 8 units 9 units

90 tens 70 tens 60 tens 90 tens

200 hundreds 100 hundreds 600 hundreds 700 hundreds

299 178 668 799

Addition 6 page 19

+6 +90 +7

274 280 370 377

+5 +130 +8

145 150 280 288

+2 +290 +4

348 350 640 644

+4 +260 +1

516 520 780 781

1. 62

+27

80

9

89

2. 74

+33

100

7

107

3. 85

+49

120

14

134

4. 92

+37

120

9

129

5. 49

+34

70

11

83

6. 68

+56

110

14

124

7. 86

+44

120

10

130

8. 74

+28

90

12

102

9. 83

+51

130

4

134

10. 85

+36

110

11

121

208

Addition 7 page 20

Addition 8 page 21

Addition 9 page 22

1. 623

+278

11

90

800

901

2. 478

+339

17

100

700

817

3. 592

+137

9

120

600

729

4. 249

+33

12

70

200

282

5. 268

+ 56

14

110

200

324

6. 326

+ 44

10

60

300

370

7. 234

+128

12

50

300

362

8. 543

+ 151

4

90

600

694

9. 485

+236

11

110

600

721

1. 43

+38

81 1

2. 57

+34

91 1

3. 82

+19

101 1 1 1

4. 94

+38

132 1 1

5. 79

+43

122 1 1

6. 48

+46

94 1

7. 56

+64

120 1 1

8. 84

+68

152 1 1 1

9. 73

+87

160 1 1

10. 85

+97

182 1 1

1. 79

+64

143 1 1

2. 63

+59

122 1 1

3. 28

+77

105 1 1 1

4. 67

+86

153 1 1

5. 83

+25

108 1

6. 88

+93

181 1 1

7. 27

+85

112 1 1

8. 72

+76

148 1 1

9. 94

+87

181 1 1

10. 75

+58

133 1 1

209

Addition 10 page 23

Addition 11 page 24

Addition 12 page 25

1. 38 2. 49 3. 63 4. 14 5. 25 6. 76

7. 41 8. 8 9. 34 10. 52

Addition 13 page 26

1. 350 2. 790 3. 650 4. 10 5. 220 6. 780

7. 250 8. 90 9. 360 10. 420

Addition 14 page 27

1. 29 2. 28 3. 39 4. 23 5. 29 6. 26

7. 38 8. 39 9. 39 10. 46 11. 34 12. 30

13. 29 14. 39 15. 46 16. 56 17. 38 18. 40

19. 47 20. 38 21. 50 22. 59 23. 69 24. 75

25. 59 26. 79

1. 624

+ 67

691 1

2. 435

+33

468

3. 729

+ 43

772 1 1

4. 247

+ 72

319 1

5. 765

+ 38

803 1 1

7. 574

+ 83

657 1

8. 283

+ 66

349 1

9. 507

+ 88

595 1 1

10. 607

+ 98

705 1 1

11. 378

+ 28

406 1 1

6. 686

+ 93

779 1

12. 776

+ 73

849 1

1. 241

+ 139

380 1

2. 342

+ 176

518 1

3. 263

+ 343

606 1 1

4. 256

+ 171

427 1

5. 435

+ 236

671 1

7. 483

+ 163

646 1

8. 157

+ 309

466 1

9. 282

+ 696

978 1 1

10. 303

+ 208

511 1

11. 246

+ 227

473 1

6. 362

+ 186

548 1

12. 774

+ 144

918 1

210

Addition 15 page 28

Addition 16 page 29

Addition 17 page 30

+ 20 25 30 35 40 45 50 55 60 65

20 40 45 50 55 60 65 70 75 80 85

25 45 50 55 60 65 70 75 80 85 90

30 50 55 60 65 70 75 80 85 90 95

35 55 60 65 70 75 80 85 90 95 100

40 60 65 70 75 80 85 90 95 100 105

45 65 70 75 80 85 90 95 100 105 110

50 70 75 80 85 90 95 100 105 110 115

55 75 80 85 90 95 100 105 110 115 120

60 80 85 90 95 100 105 110 115 120 125

65 85 90 95 100 105 110 115 120 125 130

1. 70 2. 110 3. 140 4. 90 5. 75 6. 115

7. 170 8. 350 9. 140 10. 35

1. 138

+ 177

315 1 1

2. 243

+ 162

405 1

3. 416

+ 225

641 1 1

4. 109

+ 143

252 1

5. 326

+ 135

461 1

7. 206

+ 233

439

8. 255

+ 243

498

9. 409

+ 273

682 1 1

10. 607

+ 98

705 1 1

11. 378

+ 284

662 1 1

6. 277

+ 184

461 1 1

12. 279

+ 376

655 1 1

1. 579

+463

1042 1 1 1

2. 243

+162

405 1

3. 147

272

+ 132

551 1 1

4. 523

+236

759

5. 791

+357

1148 1 1

6. 609

+827

1436 1 1

7. 484

+727

1211 1 1 1

8. 863

+355

1218 1 1

9. 719

+ 464

1183 1 1

10. 107

98

+ 127

332 1 2

11. 321

284

+ 78

683 1 1

12. 273

253

+ 123

649 1

211

Subtraction 1 page 31

1. 64 - 26 = 4 + 30 + 4 =

2. 82 - 37 = 3 + 40 + 2 = 45

3. 65 - 29 = 1 + 30 + 5 = 36

4. 68 - 23 = 7 + 30 + 8 = 45

5. 49 - 25 = 5 + 10 + 9 = 24


1. 76 - 48 = 4 + 20 + 6 = 28

+4 +30 +4

26 30 60 64

38

+3 +40 +2

37 40 80 82

+1 +30 +5

29 30 60 65

+2 +30 +8

23 30 60 68

+5 +10 +9

25 30 40 49

+2 +20 +6

48 50 70 76

212

2. 75 - 34 = 6 + 30 + 5 = 41

3. 165 - 34 = 1 + 30 + 5 = 131

4. 268 - 97 = 3 + 160 + 8 = 171

5. 342 - 225 = 5 + 110 + 2 = 117


1. 106, 97 the difference is 9.



+6 +30 +5

34 40 70 75

+6 +120 +5

34 40 160 165

+3 +160 +8

97 100 260 268

+5 +110 +2

225 230 340 342

+3 +6

97 100 106

+5 +14

295 300 314

+23 +18

277 300 318

213



Subtraction 4



+2 +200 +12

298 300 512

+88 +200 +65

412 500 700 765

1. 163

- 36

100 +50 + 13

30 + 6 -

100 20 7 _ = 127

2. 174

- 49

100 +60 + 14

40 + 9 -

100 20 5 _ = 125

3. 237

- 155

100 +130 + 7

100 + 50 + 5 -

80 2 _ = 82

4. 526

- 374

400 +120 + 6

300 + 70 + 4 -

100 50 2 _= 152

1. 649

- 78

500 +140 + 9

70 + 8 -

500 70 1 _ = 571

2. 462

- 335

400 +50 + 12

300 +30 + 5 -

100 20 7 _ = 127

3. 758

- 585

600 +150 + 8

500 + 80 + 5 -

200 70 3 _ = 173

4. 862

- 747

800 +50 + 12

700 +40 + 7 -

100 10 8 _= 115

214





1. 86

- 54

32

2. 88

- 35

53

3. 75

- 42

33

1

4. 95

- 82

13

5. 69

- 56

13

8. 374

- 53

321

9. 483

- 42

441

10. 685

- 13

672

1

11. 887

- 46

841

12. 979

- 63

916

6. 48

- 36

12

13. 949

- 30

919

7. 75

- 24

51

1. 344

- 26

318

2. 355

- 48

307

3. 473

- 54

419

1

4. 890

- 74

816

5. 667

- 59

608

8. 474

- 38

436

9. 673

- 45

628

10. 985

- 67

918

1

11. 654

- 76

578

12. 862

- 28

834

6. 244

- 28

216

13. 763

- 48

715

7. 596

- 58

538

3 1 1 4 6 1 8 1 5 1 3 1 8 1

1 6 1 6 7 1 1 4 1 5 1 5 1 5

1. 449

- 77

372

2. 637

- 83

554

3. 846

- 64

782

1

4. 768

- 94

674

5. 249

- 63

686

8. 538

- 77

461

9. 228

- 46

182

10. 985

- 67

918

1

11. 717

- 76

641

12. 359

- 78

281

6. 354

- 81

273

13. 928

- 76

852

7. 315

- 83

232

1 2 1 1 1 1 1 1

1 1 7 1 6 1 1

3 6 1 7 2

4 1 1 2 8

1. 356

- 209

147

2. 527

- 206

321

3. 437

- 245

192

1

4. 643

- 421

222

5. 354

- 268

86

8. 653

- 426

227

9. 427

- 244

183

10. 503

- 211

292

1

11. 923

- 607

316

12. 626

- 382

244

6. 431

- 280

151

7. 972

- 281

691

4 8 1 4 1 1

4 1 1 1 1

3 2 3 3

3 1 5

1 1 1

1

1 4

5

215


- 50 45 40 35 30 25 20 15 10 5

500 450 455 460 465 470 475 480 485 490 495

450 400 405 410 415 420 425 430 435 440 445

400 350 355 360 365 370 375 380 385 390 395

350 300 305 310 315 320 325 330 335 340 345

300 250 255 260 265 270 275 280 285 290 295

250 200 205 210 215 220 225 230 235 240 245

200 150 155 160 165 170 275 180 185 190 195

150 100 105 110 115 120 225 130 135 140 145

100 50 55 60 65 70 75 80 85 90 95

50 0 5 10 15 20 25 30 35 40 45

1. 150 2. 360 3. 250 4. 280 5. 900 6. 400

7. 1920 8. 310 9. 1240 10. 900


1. 200 2. 700 3. 950 4. 60 5. 560 6. 120

7. 760 8. 810 9. 290 10. 340


Subtraction 10

Money 1 page 43

1. £17·55 2. £9·13 3. £15·30 4. £2·72 5. £2·74 6. £18·11

7. £30·11 8. £30·12 9. £8·09 10. £33·11

Money 2 page 44

1. 670p 700p 2. 840p 800p 3. 570p 600p 4. 770p 800p

5. £1·70 £2·00 6. £1·40 £1·00 7. £6·50 £ 7·00 8. £3·90 £4·00

1. 445

- 324

121

2. 456

- 238

218

3. 892

- 364

528

1

4. 484

- 357

127

5. 371

- 126

245

6. 569

- 287

282

7. 753

- 272

481

8. 724

- 536

188

1

9. 453

- 366

87

10. 561

- 293

268

1 6

1 1 1 4 1

8

6 1 5 41

6

1 1 4 7 1

1

1 11

1

1 3 1 4

216

Money 3 page 45

1 £3·30 2. £1·50 3. £2·95 4. £6·75 5. cola milkshake

6. £11·55

Money 4 page 46

1. 2. 3. 4. 5. 6.

£5·45 £5·89 £2·96 £3·82 £7·67 £5·87

+ £3·38 +£2·96 + £3·38 +£6·19 +£3·59 £6·88

£8·83 £8·85 £6·34 £10·01 £11·26 £12·75 1 1 1 1 1 1 1 1 1 1 1

7. 8. 9. 10. 6 1 11. 7 1 12. 7 1

£6·89 £9·78 £2·96 £5·76 £8·37 £8·09

- £4·36 - £6·46 - £1·34 - £4·29 - £4·47 - £4·46

£2·53 £3·32 £1·62 £1·47 £3·90 £3·63

13. 7 1 14. 3 1 15. 0 1 16. 8 1 17. 3 1 18. 5 1

£7·84 £4·79 £6·16 £7·96 £9·46 £6·39

- £4·35 - £1·86 - £3·09 - £4·29 - £8·17 - £4·86

£3·49 £2·93 £3·07 £3·67 £1·29 £1·53

Money 5 page 47

1. £72 2. £112 3. £3·20 4. £6 5. £148 6. £28

Money 6 page 48

1. £10·98 2. £18·49 3. £36·86 4. £79·06 5. £136·90 6. £85·85

7. £80·26 8. £40·43 9. £90·91 10. £448·22

Money 7 page 49

1. £7·62 2. £21·03 3. £31·42 4. £42·22 5. £213·21 6. £22·17

7. £11·92 8. £55·59 9. £32·72 10. £31·19

How are you doing? 1 page 50

1. 3758 3857 4783 4875 5783 2. a. ˂ b. ˃

3. 31 6 1 3 1

a. 367 b. 629 c. 935 d. 357 e. 259 f. 439 g. 476 h. 408 + 42 + 47 + 84 + 45 - 35 - 56 - 48 - 52

409 676 1019 402 224 383 428 356 1 1 1 1 1 1

4. a. £8·56 b. £4·09 c. £0·67 5. -4 6. -12

7. 725 700 675 650 625 600 575

217

Multiplication 1 page 51

1. 5×3=15 5+5+5=15 3+3+3+3+3=15 3×5=15

2. 4×6=24 4+4+4+4+4+4=24 6+6+6+6=24 6×4=24

3. 4×5=20 4+4+4+4+4=20 5+5+5+5=20 5×4=20

4. 2×7=14 7+7=14 2+2+2+2+2+2+2=14 7×2=14


1. 2×5=10 5×2=10 10÷5=2 10÷2=5

2. 4×5=20 5×4=20 20÷5=4 20÷4=5

3. 3×4=12 4×3=12 12÷4=3 12÷3=4

4. 3×7=21 7×3=21 21÷3=7 21÷7=3


1. 40 + 40 = 80 2 × 40 = 80 2. 8 + 8 = 16 2 × 8 = 16

3. 12 + 12 = 24 2 × 12 = 24 4. 30 + 30 = 60 2 × 30 = 60

5. 16 + 16 = 32 2 × 16 = 32


1. 5 × 25 = 125

20 5 = 100

× 5 + 25

125

2. 3 × 49 = 147

40 9 = 120

× 3 + 27

147

3. 4 × 18 = 72

10 8 = 40

× 4 + 32

72


1. 3 × 26 = 78

20 6 = 60

× 3 + 18

78

2. 4 × 29 = 116

20 9 = 80

× 4 + 36

116

25 100

27 120

32 40

18 60

36 80

218

3. 5 × 13 = 65

10 3 = 50

× 5 + 15

65

4. 3 × 53 = 159

50 3 = 150

× 3 + 9

159

5. 5 × 28 = 140

20 8 = 100

× 5 + 40

140


1. 16 2. 19 3. 23

× 7 × 6 × 4

70 (10×7) 60 (10×6) 80 (20×4)

42_ (6×7) 54 ( 9×6) 12 ( 3×4)

112 _ (16×7) 114 (19 ×6) 92 (23×4)

4. 18 5. 26 6. 28

× 5 × 4 × 6

50 (10×5) 80 (20×4) 120 (20×6)

40_ (8×5) 24 ( 6×4) 48 ( 8×6)

90 _ (18×5) 104 (26 ×4) 148 (28×6)


1. 19 2. 24 3. 13

× 5 × 6 × 8

50 (10×5) 120 (20×6) 80 (10×8)

45_ ( 9×5) 24 ( 4×6) 24 ( 3×8)

95_ (16×5) 144 (24 ×6) 104 (13×8)

4. 25 5. 32 6. 17

× 9 × 3 × 9

180 (20×9) 90 (30×3) 90 (10×9)

45_ ( 5×9) 6 ( 2×3) 63 ( 7×9)

225_ (25×9) 96 (32 ×3) 153 (17×9)

7. 45 8. 33 9. 27

× 3 × 4 × 6

`120 (40×3) 120 (30×4) 120 (20×6)

15_ ( 5×3) 12 ( 3×4) 42 ( 7×6)

135_ (45×3) 132 (33×4) 162 (27×6)

15 50

9 150

40 100

219

10. 36 11. 39 12. 47

× 4 × 5 × 6

120 (30×4) 150 (30×5) 480 (40×6)

24_ ( 6×4) 45 ( 9×5) 42 ( 7×6)

144_ (36×4) 195 (39×5) 282 (47×6) Multiplication 8 page 58

1. 29 2. 31 3. 43

× 3 × 4 × 4

60 (20×3) 120 (30×4) 160 (40×4)

27_ ( 9×3) 4 ( 1×4) 12 ( 3×4)

87_ (29×3) 124 (31 ×4) 172 (43×4)

4. 15 5. 22 6. 28

× 6 × 6 × 3

60 (10×6) 120 (20×6) 60 (20×3)

30_ ( 5×6) 12 ( 2×6) 24 ( 8×3)

90_ (15×6) 132 (22 ×6) 84 (28×3)

7. 42 8. 24 9. 52

× 5 × 4 × 2

`200 (40×5) 80 (20×4) 100 (50×2)

10_ ( 2×5) 16 ( 4×4) 4 ( 2×2)

210_ (42×5) 96 (24×4) 104 (52×2)

10. 53 11. 37 12. 33

× 6 × 9 × 6

300 (50×6) 270 (30×9) 180 (30×6)

18_ ( 3×6) 63 ( 7×9) 18 ( 3×6)

318_ (53×6) 333 (37×9) 198 (33×8) 1


1. 26 2. 34 3. 28 4. 21 5. 16 6. 28

× 3 × 2 × 2 × 4 × 5 × 4

78 68 56 84 80 112 1 1 3 1 3

7. 27 8. 34 9. 35 10. 52 11. 34 6. 37

× 3 × 5 × 6 × 3 × 4 × 5

81 170 210 156 136 185 2 2 3 1 1 1 3

220


1. 47 2. 46 3. 37 4. 29 5. 26 6. 48

× 4 × 4 × 5 × 6 × 7 × 5

188 184 185 174 182 240 2 2 1 3 1 5 1 4 2 4

7. 36 8. 35 9. 46 10. 58 11. 49 12. 67

× 8 × 9 × 6 × 6 × 8 × 6

288 315 276 348 392 402 2 4 3 4 2 3 3 4 3 7 4 4


1. 225 2. 275 3. 400 4. 150 5. 200 6. 275

7. Answers include 200 300 400 500 8. Answers include 325 350 375 400

9. Answers include 100 200 25 or 50 125 10. Answers include 100 150 200 250


1. 300 2. 700 3. 1200 4. 2400 5. 3100 6. 7200 7. 1220

8. 5140 9. 29000 10. 21020 11. 30000 12. 24580 13. a, 6 b, 32 c, 203


A. Answers include 7 × 5 = 35 2 × 10 = 20 7 × 3 = 21 8 × 4 = 32 5 × 5 = 25

1 × 2 = 2 4 × 2 = 8 2 × 2 = 4 7 × 4 = 28 8 × 3 = 24 1 × 3 = 3 4 × 10 = 40

B. Answers include 3 × 4 = 12 5 × 4 = 20 7 × 8 = 56 9 × 2 = 18 3 × 12 = 36

5 × 6 = 30 7 × 6 = 42 9 × 8 = 72 10 × 12 = 120 3 × 6 = 18 5 × 6 = 30

7 × 2 = 14 9 × 2 = 18 10 × 8 = 80 3 × 8 = 24 5 × 12 = 60 7 × 12 = 84


1. 43 × 3 = (40 × 3) + (3 × 3) = 120 + 9 =129

2. 34 × 4 = (30 × 4) + (4 × 4) = 120 + 16 =136

3. 65 × 5 = (60 × 5) + (5 × 5) = 300 + 25 =325

4. 47 × 3 = (40 × 3) + (7 × 3) = 120 + 21 =141

5. 59 × 4 = (50 × 4) + (9 × 4) = 200 + 36 =236

6. 67 × 3 = (60 × 3) + (7 × 3) = 180 + 21 =201


1. 59 × 6 = (50 × 6) + (9 × 6) = 300 + 54 =354

2. 46 × 3 = (40 × 3) + (6 × 3) = 120 + 18 =138

3. 27 × 6 = (20 × 6) + (7 × 6) = 120 + 42 =162

4. 69 × 3 = (60 × 3) + (9 × 3) = 180 + 27 =207

5. 78 × 4 = (70 × 4) + (8 × 4) = 280 + 32 =312

6. 84 × 6 = (80 × 6) + (4 × 6) = 480 + 24 =504

7. 93 × 5 = (90 × 5) + (3 × 5) = 450 + 15 =465

221


1. 87 × 8 = (80 × 8) + (7 × 8) = 640 + 56 =696

2. 73 × 5 = (70 × 5) + (3 × 5) = 350 + 15 =365

3. 56 × 9 = (50 × 9) + (6 × 9) = 450 + 54 =504

4. 68 × 7 = (60 × 7) + (8 × 7) = 420 + 56 =476

5. 95 × 8 = (90 × 8) + (5 × 8) = 720 + 40 =760

6. 78 × 7 = (70 × 7) + (8 × 7) = 490 + 56 =546

7. 94 × 9 = (90 × 9) + (4 × 9) = 810 + 36 =846


1. 72 2. 106 3. 140 4. 76 5. 128 6. 54 7. 182 8. 164

9. 300 450 1200 3400 560 1900 600

10. 890 349 2500 234 220 1560 3400

11. 780 4500 2400 140 600 5600 3450

12. 480 13. 1240 14. 1120 15. 940 16. 1860 17. 1760 18. 2400

19. 4800 20. 9000 21. 7200 22. 5600 23. 3200

Multiplication Tables 1 page 68

1. 27 2. 30 3. 72 4. 36 5. 48 6. 56 7. 11 8. 12 9. 12

10. 9 11. 7 12. 8 13. 4 14. 3 15. 2 16. 10 17. 9 18. 6

19. 12 20. 8 21. 11 22. 12 23. 6 24. 6 25. 80 26. 48 27. 72


1. 6 2. 9 3. 20 4. 24 5. 24 6. 33 7. 2 8. 5 9. 5

10. 8 11. 3 12. 0 13. 1 14. 2 15. 3 16. 12 17. 25 18. 80

19. 30 20. 56 21. 48 22. 2 23. 11 24. 8 25. 9 26. 7 27. 9

28. 12 29. 8 30. 8 31. 12 32. 24 33. 30 34. 8 35. 12 36. 7

37. 6 38. 8 39. 6 40. 44 41. 16 42. 54


1. 18 2. 18 3. 63 4. 16 5. 36 6. 81 7. 11 8. 8 9. 7

10. 5 11. 9 12. 12 13. 9 14. 3 15. 5 16. 8 17. 11 18. 4

19. 12 20. 9 21. 12 22. 12 23. 6 24. 3 25. 88 26. 32 27. 96


1. 15 2. 16 3. 30 4. 36 5. 66 6. 90 7. 0 8. 2 9. 3

10. 4 11. 8 12. 7 13. 1 14. 9 15. 7 16. 9 17. 32 18. 45

19. 56 20. 54 21. 81 22. 12 23. 6 24. 9 25. 12 26. 8 27. 8

28. 5 29. 8 30. 9 31. 16 32. 20 33. 60 34. 9 35. 12 36. 5

37. 12 38. 7 39. 12 40. 66 41. 81 42. 36

222


1. 18 2. 14 3. 48 4. 36 5. 72 6. 49 7. 8 8. 6 9. 9

10. 2 11. 8 12. 11 13. 6 14. 6 15. 5 16. 9 17. 7 18. 6

19. 11 20. 8 21. 7 22. 12 23. 4 24. 11 25. 49 26. 36 27. 56


1. 28 2. 18 3. 18 4. 32 5. 27 6. 77 7. 90 8. 6 9. 12

10. 3 11. 0 12. 2 13. 8 14. 7 15. 11 16. 49 17. 54 18. 28

19. 36 20. 42 21. 96 22. 11 23. 12 24. 5 25. 4 26. 7 27. 3

28. 8 29. 9 30. 11 31. 24 32. 22 33. 36 34. 7 35. 8 36. 8

37. 6 38. 7 39. 5 40. 12 41. 88 42. 48


1. 42 2. 81 3. 96 4. 54 5. 121 6. 144 7. 12 8. 7 9. 8

10. 2 11. 11 12. 5 13. 8 14. 7 15. 11 16. 7 17. 12 18. 4

19. 7 20. 12 21. 8 22. 6 23. 12 24. 8 25. 121 26. 96 27. 84


1. 42 2. 45 3. 121 4. 48 5. 63 6. 48 7. 49 8. 12 9. 9

10. 3 11. 8 12. 12 13. 5 14. 7 15. 8 16. 132 17. 45 18. 64

19. 110 20. 36 21. 108 22. 11 23. 7 24. 6 25. 3 26. 4 27. 2

28. 12 29. 6 30. 8 31. 32 32. 55 33. 81 34. 12 35. 9 36. 8

37. 7 38. 9 39. 11 40. 66 41. 121 42. 108

Division 1 page 76

A. 1. 7 2. 6 3. 8 4. 5 5. 6 6. 10 7. 9 8. 12 9. 7 10. 6

B. 1. 12 2. 23 3. 11 4. 22 5. 22 6. 15 7. 34 8. 27 9. 23 10. 16

Division 2 page 77

A. 1. 7r1 2. 4r2 3. 8r4 4. 6r1 5. 8r2 6. 6r1 7. 9r3 8. 9r9

9. 10r3 10. 9r1

B. 1. 14r2 2. 19r2 3. 16r1 4. 22r1 5. 44r1 6. 7r7

C. 1. 31 2. 37 3. 46

Division 3 page 78

1. 27 ÷ 5 = (20 +7) ÷5 = 4+1 remainder 3= 5r2

2. 46 ÷ 4 = (40 +6)÷ 4= 10+1 remainder 2= 11r2

3. 23 ÷ 3 = (18 +5)÷3 =6+1 remainder 2= 7r2

4. 57 ÷ 4 = (40 +17)÷ 4= 10+4 remainder 1= 14r1

5. 38 ÷ 3 = (30 +8)÷ 3= 10+2 remainder 2= 12r2

6. 49 ÷ 4 = (40 +9)÷ 4= 10+2 remainder 1= 12r1

223

Division 4 page 79

1. 68 ÷ 5 = (50 +18)÷ 5= 10+3 remainder 3= 13r3

2. 49 ÷ 4 = (40 +9)÷ 4= 10+2 remainder 1= 12r1

3. 37 ÷ 3 = (30 +7)÷ 3= 10+2 remainder 1= 12r1

4. 97 ÷ 8 = (80 +17)÷ 8= 10+2 remainder 1= 12r1

5. 86 ÷ 7 = (70 +16)÷ 7= 10+2 remainder 2= 12r2

6. 79 ÷ 6 = (60 +19)÷ 6= 10+3 remainder 1= 13r1

7. 69 ÷ 4 = (60 +9)÷ 4= 15+2 remainder 1= 17r1

Division 5 page 80

1. 78 ÷ 5 = 5) 78

- 50 (10 × 5)

28

- 25 ( 5× 5)

_ 3 The answer is 15 r 3

3. 66 ÷ 5 = 5) 66

- 50 (10 × 5)

16

- 15 ( 3× 5)


Division 6 page 81

1. Estimate 96÷6=16

97 ÷ 6 = 6) 97

- 60 (10 × 6)

37

- 36 ( 6× 6)

1 The answer is 16r1


76 ÷ 6 = 6) 76

- 60 (10 × 6)

16

- 12 ( 2× 6)



82 ÷ 5 = 5) 82

- 50 (10 × 5)

32

- 30 ( 6× 5)


2. 94 ÷ 6 = 6) 94

- 60 ( 10 × 6)

34

- 30 ( 5 × 6)



63 ÷ 5 = 5) 63

- 50 ( 10 × 5)

13

- 10 ( 2 × 5)



74 ÷ 7 = 7) 74

- 70 ( 10 × 7)

4

The answer is 10r4


91 ÷ 6 = 6) 91

- 60 ( 10 × 6)

31

- 30 ( 5 × 6)


224

Division 7 page 82


93 ÷ 8 = 8) 93

- 80 (10 × 8)

13

- 8 ( 1× 8)



99 ÷ 4 = 4) 99

- 80 (20 × 4)

19

- 16 ( 4× 4)


5. Estimate 54÷9=6

56 ÷ 9 = 9) 56

- 54 (6 × 9)

2

The answer is 6r2

Division 8 page 83

1 Estimate 66÷6=11

70 ÷ 6 = 6) 70

- 60 (10 × 6)

10

- 6 ( 1× 6)


3. Estimate 54÷9=6

58 ÷ 9 = 9) 58

- 54 (6 × 9)

4

The answer is 6 r 4

5. Estimate 81÷9=9

84 ÷ 9 = 9) 84

- 81 (9 × 9)

3

The answer is 9r3


87 ÷ 4 = 4) 87

- 80 ( 20 × 4)

7

4 ( 1 × 4)

3

The answer is 21r3


64 ÷ 3 = 3) 64

- 30 ( 20 × 3)

4

3 ( 1× 3)



78 ÷ 7 = 7) 78

- 70 ( 10 × 7)

8

7 ( 1 × 7)

1

The answer is 11r1

2. Estimate 72÷8=9

77 ÷ 8 = 8) 77

- 72 ( 9 × 8)

5

The answer is 9r5


77 ÷ 6 = 6) 77

- 60 ( 10 × 6)

17

12 ( 2 × 6)



99 ÷ 7 = 7) 99

- 70 ( 10 × 7)

29

- 28 ( 4 × 7)


225

four thousand

Division 9 page 84

1. £60 2. 20mm 3. 80 4. 22 5. £23 6. 35km 7. 14 8. 200g

9. half of 32=16,half of 16=8 10. half of 100g=50g,half of 50g=25g

11. half of £60=£30,half of £30 =£15 12. half of 36=18,half of 18=9

13. half of 64m=32m,half of 32m=16m 14. half of 400=200,half of 200=100

15. half of 72=36,half of 36=18 16. half of 44=22,half of 22=11

17. half of 60km=30km,half of 30km=15km

Division 10 page 85 A

1. 40 2. 71 3. 14 4. 29 5. 32 6. 72 7. 122 8. 514 9. 290 10. 420

B.

1. four hundred 2. ten 3. one hundred 4. ninety 5. three hundred

6. seven thousand 7. two hundred 8. five thousand 9. nine hundred 10.

Division 11 page 86

1. 47 ÷ 5 = 9 × 5 = 45, 47 ÷ 5 = 9 r 2 2. 35 ÷ 6 = 5 × 6 = 30, 35 ÷ 6 = 5 r 5

3. 67 ÷ 10 = 6 × 10 = 60, 67 ÷ 10 = 6 r 7 4. 17 ÷ 4 = 4 × 4 = 16, 17 ÷ 4 = 4 r 1

5. 26 ÷ 3 = 8 × 3 = 24, 26 ÷ 3 = 8 r 2 6. 78 ÷10 = 7 ×10 = 70, 78 ÷ 10 = 7 r 8

7. 15 ÷ 4 = 3 × 4 = 12, 15 ÷ 4 = 3 r 3 8. 37 ÷ 6 = 6 ×6 = 36, 37 ÷ 6 = 6 r 1

9. (6 × 7) + 1 10. (6 × 10) + 4 11. ( 5 × 15) + 3 12. ( 6 × 100) + 47

13. (4 × 4) + 1 14. (9 × 5) + 3 15. (8 × 3) + 3 16. (6 × 7) + 4

Division 12 page 87

1. 6 2. 6r8 3. 3r2 4. 8r2 5. 6 6. 6 7. 7r 1 8. 4r4 9. 10r1

10. 7r3 11. 5r3 12. 7r1 13. 6 14. 5r4

Division 13 page 88

1. 8 2. 5 3. 7 4. 5 5. 9 6. 3 Multiplication and Division 1 page 89

A. 1. 21 2. 24 3. 54 4. 4 5. 9 6. 9 7. 7 8. 5 9. 36 10. 6

B. 1. 36 2. 28 3. 8 4. 6 5. 7 6. 7 7. 9 8. 4 9. 72 10. 54

11. 6 12. 56

Multiplication and Division 2 page 90

1. a. £8 b. £6 c. £20 d. £10 2. a. £8 b. £64 3. a. £24 b. £96


1. 6 2. £60 3. Windsurfer and surfboard 4. £100 5. canoes 6. £32

226


1. 110 ÷ 2 = 55 2. 190 ÷ 2 = 95 3. 130 ÷ 2 = 65 4. 300 ÷ 2 = 150

5. 160 ÷ 2 = 80 6. 340 ÷ 2 = 170 7. 250 ÷ 2 = 125 8. 170 ÷ 2 = 85

9. 360 ÷ 2 = 180 10. 600÷ 2 = 300 11. 420 ÷ 2 = 210 12. 270 ÷ 2 = 135


1. (14×10) ×2 = 140 × 2 = 280 2. (15×10) ×2 = 150 × 2 = 300 3. (11×10) ×2 = 110 × 2 = 220 4. (20×10) ×2 = 200 × 2 = 400 5. ( 8×10) ×2 = 80 × 2 = 160 6. (17×10) ×2 = 170 × 2 = 340 7. (22×10) ×2 = 220 × 2 = 440 8. (24×10) ×2 = 240 × 2 = 480 9. (36×10) ×2 = 360 × 2 = 720 10. (50×10) ×2 = 500 × 2 = 1000 11. (42×10) ×2 = 420 × 2 = 840 12. (31×10) ×2 = 310 × 2 = 620


1. 3×6=18 2. 6×3=18 3. 18÷3=6 4. 18÷6=3

5. 7×6=42 6. 6×7=42 7. 42÷6=7 8. 42÷7=6

9. 4×9=36 10. 9×4=36 11. 36÷9=4 12. 36÷4=6

13. 8×6=48 14. 6×8=48 15. 48÷8=6 16. 48÷6=8


1. 15 2. 20×5= 100 3. 25÷5=5 4. 7×5=35 5. 10p÷5=2p 50×2p=£1

6. 300÷5=60 7. 70÷10=7 7×£1 =£7 8. 11 × 5 =55


1. 35÷5=7 2. a. £42÷6=£7 b. 8×£7=£56 3. a. £27÷3=£9 b. £9×6=£54

4. a. £30÷15=£2 b. 9×£2=£18


1. 7× 23 = 161 2. 6 × 58 = 348

20 3 50 8

× 7 × 6

3. 37 4. 58 5. a. 34×10=340 b. 432×10=4320 c. 670÷10=67

× 9 × 6

333 348 3 6 3 4 d. 28÷4=7 e. 42÷6=7 f. 35÷7=5 g. 66÷6=11 h. 45÷4=11r1

i. 37÷3=12r1 j. 14×20=280 k. 26×5=130

6. a. 370 b. 468 c. 1150 d. 3185

21 140 300 48

227

Fractions and decimals 1 page 98

1.

2 is the same as 4

5 10

2.

1 is the same as 2

3 6

3.

1 is the same as 2

5 10

Fractions and Decimals 2 page 99

1.

3 is the same as 6

4 8

2.

4 is the same as 8

5 10

3.

2 is the same as 4

3 6

4.

3 is the same as 6 5 10

228

1

3

1

4

4

3

10

7

10

2

3

3

5

1.


1.

2. 1 = 3. 1 = 4. 1 = 5. =


2. + 3 = 1

3. + = 1

4.

+ = 1 5.

+ + = 1

3

4

6

10

7

8

3

5

2

5

1

5

4

4

5

5

3

3

10

10

3

4

2

12

4

8

1

6 2

3

1

4

2

5

229

1 2

1

3

2

5

3

4

4

5

1 3

1

4

1

5

1

3

1 4

1

4

1

5

1

5

1

10

1

10

1 3

1 2

1 3

1

4

1

3

1

5

1

2

1

10

1 7

1

5


1. 2 2. 3 3. 1 4. 1 5.

6. a.

b.


1. 15 ÷ 3 = × 15 = 5 2. 24÷4 = × 24 = 6 3. 30 ÷ 5 = × 30 = 6

4. 35 ÷ 5 = × 35 = 7 5. 130÷10 = × 130 = 13 6. 20 ÷ 2 = 10

7. 90 ÷ 10 = 9 8. 500 ÷ 10 = 50 9. 60 ÷ 5 = 12

10. 120 ÷ 5 = 24 11. 500 ÷ 5 = 100


1. The red sweets are the sweets in the box.

2. The red sweets are the sweets in the box.

3. The red sweet is the sweets in the box.

4. The red sweets are the sweets in the box. 5. 6. 7.

8. 9. 10. 11. 12.

1

3

3

1

230

1

5

3

5

1

3

1 10

1 8

1

6

1

5

1 4

1 8

1

6

1 3

2

3

4

7

3

7

3 5

2 5

3

6

1

2

1

4

1

4

1

2

1

3

1

6

1

5

2

5

2

5

1 2

1

8

3

8

3

4

2

3

3

5

5 8

4 9

4 10

3

7

2

8

5

10

4

8

2 8

1

4

2

10

1

5

1

2

4

8

4

10

2

5

4 5

2 3

2 10

3

10

4

10

5 10

6 10

1

2

5

1

1

1

1

0

0

6

10

1

10

2 10

3 10

9 10

2

10

6 10

8

10

5 8

3

8

6

12


1. a fifth 2. a quarter 3. an eighth 4. a sixth

5. orange grey 6. orange grey

7. orange grey 8. orange grey


1. red blue green 2. red blue green

3. red blue green 4. red blue green

5. 6. 7. 8. 9. 10. 11. 12.


.1 2. 3. 4. 5. = 6. = 7. = 8. =


1. 22

0 1 1 0

3. 0 1

4. 5. 0

6. 1 2 3 5 7. 1 2 5 7 6 6 6 6 8 8 8 8 8. 1 2 3 4 9. 1 5 7 9 5 5 5 5 10 10 10 10 Fractions and Decimals 12 page 109

A. 1. 1·3 2. 3·2 3. 4·7 4. 0·4 5. 3·8 6. 7·2 7. 6·9 8. 3·1

B. 1. 4 2. 2 3. 1 4. 5 5. 3 6. 7. 2 8. 7

2.

7

10

8

10

9

10

2

6

4

6

3

6

5

6

2 8

3

8

4

8

6

8

7

8

6 10

5

10

5

8

1

231


1.

2 2·1 2·2 2·3 2·4 2·5 2·6 2·7 2·8 2·9 3 3·1 3·2 3·3 3·4

2. 5 5·1 5·2 5·3 5·4 5·5 5·6 5·7 5·8 5·9 6 6·1 6·2 6·3 6·4

3.

0 0·1 0·2 0·3 0·4 0·5 0·6 0·7 0·8 0·9 1 1·1 1·2 1·3 1·4

4.

7 7·1 7·4 7·6 8 8·1 8·3

5. 0·7cm 2·9cm 5·6cm 6·1cm 6·5cm 6. 0·1m 0·5m 0·9m 1·2m 2·6m


A. 1. 260p 2. 173p 3. 53p 4. 296p 5. 399p 6. 547p

B. 1. £2·45 2. £3·83 3. £0.27 4. £10·96 5. £1·99 6. £7·04

C. 1. 2·95m 2. 1·24m 3. 3.45m 4. 0·06m 5. 0·27m 6. 11·62m


A. 1. 172p 2. 603p 3. 97p 4. 116p 5. 9p 6. 940p

B. 1. £0·05 2. £0·16 3. £0.78 4. £7·46 5. £2·49 6. £1·01

C. 1. £2·76 £1·47 91p 45p £0·19 2. £2·11 £1·02 60p 6p £0·04

3. 423p 301p £2·20 £0·31 £0·01


A. 1. 250 125 2. 900 450 3. 26 13 4. 58 29 5. 108 54

6. 130 65 7. 750 375 8. 690 345

B. 1. 16 4 2. 40 10 3. 80 20 4. 800 200 5. 36 9

6. 1000 250 7. 300 75 8. 900 225 C. 1. 800 100 2. 160 20 3. 240 30 4. 320 40

D. 1. 360 60 2. 600 100 3. 180 30 4. 240 40


A. 1. 16 = 12 2. 400=300 3. 100=75 4. 24=18 5. 1000=750 6. 600=450 7. 48=36 8. 96=72

B. 1. 9=6 2. 18=12 3. 24=16 4. 21=14 5. 36=24

232

1 5

3 5

1

5

2 6

1 6

1

4

3

4

3

4

1

4

1

5

4

5

2

5

3

5

4 5

2 5

2

5

4 5

1

5

4 5

4 5

3

5

3

5

2 5

2

6

1

6

2

6

3

6

3

6

4 6

4 6

5 6

5 6

1

6

1 4

3 4

1 4

3

4

5 6

1

4

1 6

1 6

5 6

3

4

4 6

1

2

1

2

1

4

7

8

6

8

1 8

5

8

1

5

3

5

2 6

1

5

1

2

1 5

3 5

1

2

1 3

2

4

1

5

3

5

1

2

6. 99=66 7. 300=200 8. 75=50

C. 1. 20=8 2. 30=12 3. 600=240 4. 150=60

D. 1. 36=30 2. 600=500 3. 180=150 4. 240=200


1.

3 3 3 3 3 4 4 4 4 4 5 5 5 5 5

2.

8 8 8 8 8 8 9 9 9 9 9 9 10 10 10

3. 2 2 3 3 4

4. 3 3 5 5 6

5. 3 3 4 4 5

6.

3 3 4 4 5

5 5 6 6 7 ---

Fractions and Decimals 19 page 116 1. 2. 3. 0 1 0 1 0 1

4. 5. 0 1 0 1

6. 0 1

7.

0 1

6.

1.

2.

7.

1 8

1 10

2

3

3

8

1

4

3 4

3 5

4

5

2

5

3 6

4

6

5

6

1 6

2

8

4

8

5 8

6

8

7 8

7

10

8

10

9

10

6

10

5 10

4

10

3

10

2

10

1

4

3

8

233

less than

equal to

greater than

Factions and Decimals 20 page 117

1.

2. 3. 4.

5.

Fraction and Decimals 21 page 118

1. 2.

Answer 1 biscuits each Answer a cake each

1

2

1

2

1

2

3

6

|

5

10

4

10

3 10

2

10

1 10

1

4

4 8

3 8

2

8

1

8

1

3

2 6

1

6

2 5

1

5

6

10

7 10

8

10

9

10

7

8

6

8

5

6

4

6

3

5

4 5

2

3

3

4

1 4

1 8

1 16

3

4

6 8

12 16

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

|

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|

|

|

1

5

2

10

4

20

8

40

3

5

6

10

12

20

24

40

1

3

1

2

5

8

|

|

|

|

234

1

10

1 5

5

100

1

100

2

100

3

100

4

100

78

100

6

100

7

100

8

100

9

100

10

100

11

100

12

100

13

100

14

100

96

100

2

100

17

100

3. 4.

Answer of a cake each Answer of a packet each


1.

0 1 1 1 1 1 0·1 0·2 0·3 0·4 0·5 0·6 0·7 0·8 0·9 1 1·1 1·2 1·3 1·4

2. a. 5·7 b. 3·2 c. 10·3 d. 12·9

3. a. 3 b. 15 c. 14 d. 17 4.

6 6·2 6·6 6·9 7 7·1 7·4

5. 6 6 6 7


1. 0

2.

1·50 1·51 1·52 1·53 1·54 1·55 1·56 1·57 1·58 1·59 1·60 1·62 1·63 1·64

3. a. 0·33 b. 0·56 c. 0·41 d. 0·07 4. a. b. c. d.

Ratio and Proportion 1 page 121

1. a. 9 b. 4 c.

Clover 1 2 3 4 5 6 7 8

Leaves 3 6 9 12 15 18 21 24

2.

Apple 1 2 3 4 5 6 7 8

Pips 5 10 15 20 25 30 35 40

3.

Pods 1 2 3 4 5 6 7 8

Peas 7 14 21 28 35 42 49 56

4.

Bunches 1 2 3 4 5 6 7 8

Grapes 12 24 36 48 60 72 84 96

4 4

4

4

4

4

3 8

5

9

2

10

3

10

4

10

5

10

6 10

7

10

8

10

9

10

2

10

1

10

3

10

4

10

4

10

1

10

9

10

2

10

2

10

6 10

9

10

1

10

4

10

1·61

0

3

8

5

9

235


1. 1 out of 5 circles is red 2. 2 out of 6 circles are red 3. 2 out of 7 circles are red

4. 3 out of 8 circles are red 5. ABBBABBBABBBA 1 in every 4 letters is A

6. CDCDCDCDCD 1 in ever 2 letters is C 7. EEEEFEEEEFE 1 in every 5 letters is F

8. GHHGHHGHH 2 in every 3 letters are H.

Answers such as: 9. OOOXXOOOXX 10. LLLLPPPLLLLPP Ratio and Proportion 3 page 123

1. 1 in 4 is a triangle 2. 2 in 8 are triangles 3. 3 in 12 are triangles

4. 4 in 16 are triangles 5. 2 in 5 are triangles 6. 4 in 10 are triangles

7. 6 in 15 are triangles 8. 20 in 50 are triangles 9. 1 in 10 are triangles

10. 3 in 30 are triangles 11. 5 in 50 are triangles 12. 9 in 90 are triangles 13. 3 in 8 are triangles 14. 6 in 16 are triangles 15. 9 in 24 are triangles

16. 30 in 80 are triangles


1. 5 out 7 are blue. are blue. 2. 2 out of 7 are blue are blue.

3. 7 out of 10 are blue. are blue. 4. 4 out of 10 are blue. are blue.

5. 9 out of 10 are blue. are blue. 6. 3 out of 8 are blue. are blue.

Calculator Skills 1 page 125

1. 2088 2. 804 3. 382 4. 246 5. 116281 6. 752 7. 49

8. 207936 9. 1512 10. 3 11. 177 12. 1254 13. -11 14. -121

15. -90 16. -1532 17. -996 18. -2201


1. £108·51 2. £11·79. 3. £8·72 4. £376·48 5. £3·57. 6. £18·08

7. £18·07 8. £942·50 9. £61·80 10. £5·94 11. £7·28 12. £393.61

13. £16·39 14. £8·43. 15. £20·28 16. £2·56.

Calculator skills 3 page 127

1. 8 × 60 =480 2. 16×5=80 3. 63÷9=7 4. 24 + 20 = 44 5. 9 × 19 =171

6. 49 ÷ 7 = 7 7. 63–21=42 8. 43×359=15437 9. 207 -108 = 99

10. 3 × 27 + 63=144 11. 160 + 98= 258 12. No a. 1104 b. 322


1. 84 85 2. 146 147 3. 923 924 4. 20 × 3 = 60 62·744

5. 500÷50=10 10·034253 6. 500÷100=5 5·0440595

5

7

4

4

2

7

4

4

7 10

4

4

3 8

4

4

4 10

4

4

9

10

4

4

236

2 10

1 2

7 10

9

10

1

4

3

4

1

2

3

10

1

10

9

10

3

4

7

10

1

4 1

10

1

2 1

4

3

10

1

2

Measuring 1 page 129

4cm5mm 4·5cm 4 cm 6cm 2mm 62mm 6 cm

6cm 7mm 6·7cm 6 cm 5cm 9mm 59mm 5 cm


B.

1. 4m 35cm 2. 1m 36cm 3. 424cm 4. 380cm 5. 380cm 6. 25cm

7. 278cm


A. 1. 460cm 2. 550cm 3. 500cm 4. 680cm

B. 1. – 6. Own results


1. m 2. m 3. m 4. m 5. m

6. 30cm = 300mm = m 7. 90cm = 900mm = m

8. m = 700mm = 70cm 9. m = 750mm = 75cm

10. 250mm= m = 25cm 11. 100mm = m = 10cm

12. 50cm = m = 500mm 13. 25cm = m = 250cm

14. 300mm = 30cm = m

1. 2. 3.

4. 5.

6. 7.

8. 9.

1. 2.

3. 4

5

A.

237

1

2 1

4 3

4 9

10

1

4 3

4

1

2 1

4 3

4

1

10


km m

km 500 m

km 250 m

km 750 m

km 900 m

2km 2000 m

km 905m 950m 1km 1km 100m 1 m


1. 50g 2. 80g 3. 100g 4. 240g 5. 38g 6. 6g 7. 59g 8. 1110g

9. 610g 10. 320g 11. 2350g


1. 200g 2. 500g 3. 1000g 4. 250g 5. 100g 6. 750kg 7. 5400g

8. 2250g 9. 4600g 10. 3750g 11. 3 kg 12. 1 kg 13. 7 kg 14. 6 kg


a. 500g + 500g + 200g b. 500g +200g + 100g c. 500g + 500g + 500g + 100g

d 500g + 200g + 200g e. 200g + 200g f. 500g + 500g + 100g + 200g


a. 200g + 50g b. 100g + 50g c. 500g + 200g + 200g + 50g

d. 200g + 200g + 50g e. 500g + 500g + 500g +200g +200g

f. 500g +500g + 500g + 500g + 50g


1. 250g + 150g + 170g = 570g 2. 150g + 225g + 25g = 400g

3. 225g + 170g + 25g = 420g 4. 170g + 75g +250g =495g

5. 25g +150g +75g = 250g 6. 250g + 150g +225g +170g + 25g +75g = 895g

7. 1080g 8. 500g Measuring 11 page 139

1. a. 200 ÷ 50 = 4g per penny b. 450 ÷ 100 = 4·5g per penny

Orange rounds are the best value

2. a. 10g b. 22·5g 3. 15 servings 4. 75g

238

1

2

1

4

3

4

1

10 3

10

1

4 3

4

1

4

5

8 1

3

4

10 1

2

4

8

2

6 1

3 6

10 22

100


Answers include

1. 1 litre = 500ml + 250ml + 250ml 2. litre = 250ml + 200ml + 50ml

3. litre = 250ml 4. litre = 250ml +250ml +250ml

5. litre = 100ml 6. litre = 300ml

7. 1000ml 8. 4 9. 2000ml 10. 10


1. 350ml 2. 600ml 3. 450ml 4. 850ml 5. 600ml 6. 410ml 7. 875ml

8. 290ml 9. 2250


1. 6·5l 6 l 6l 500ml 6000ml + 500ml 2. 3·25l 3 l 3l 250ml 3000ml + 250ml

3. 1·75ml 1 l 1l 750ml 1000ml + 750ml

a. 1768ml 1770ml 1800ml b. 1517ml 1520ml 1500ml

c. 4251ml 4250ml 4300ml Measuring 15 page 143

1. E 2. 3 3. 5 4. 10 5. 2 6. 15 7. 800ml 8. 350ml 9. 10


1. vase 2. 700ml 3. 4 4. 9 5. 400ml 6. 1300ml


1. a. 15 b. 1500ml 2. a. 25 b. 150ml 3. 555ml How are you doing? 3 page 146

1. 2. 3. 4. 5. = 6. =

7. a. 20 b. 28 c. 80 d. 136 8. a. 4 b. 12 9. a. 440cm b. 910cm c. 1000cm 10. a. 1000ml b. 5

Time 1 page 147

1. Twenty past one 2. Ten to eight 3. Twenty five past three

4. Seven minutes past eight 5. Twenty five past five 6. Twenty to two

7. 4:03 4:04 4:05 8. 12:36 12:38 12:40 9. 3:00 3:02 3:04

10. 9:32 9:35 9:38

1

2

239

Time 2 page 148

1. 3:48 Three forty eight forty-eight minutes past three twelve minutes to four

2. 6:34 six thirty four thirty-four minutes past six twenty six minutes to seven

3. 10:57 Ten fifty seven fifty-seven minutes past ten three minutes to eleven

4. 11:41 Eleven forty one forty-one minutes past eleven nineteen minutes to twelve

5. a. 11:31 b. 11:01 c. 10:37 d. 11:05

6. a. 5:24 b. 7:09 c. 6:54

Time 3 page 149

1. Jayne Julia Paul

2. Philip 1 minute 12 seconds Wayne 1 minute 1 second Sheila 1 minute 4 seconds

3. Mr Smith 120 minutes 2hours

Mr Yang 132 minutes 2 hours 12 minutes

Mr Brown 115 minutes 1 hour 55minutes

Mr Carter 143 minutes 2 hours 23 minutes

Mr Snape 119 minutes 1 hour 59 minutes

4. a. Mr Smith 11:30 b. Mr Yang 11:42 c. Mr Brown 11:25

d. Mr Carter 11:53 e. Mr Snape 11:29

Time 4 page 150

1.

Station Road 9:05 9:40 10:20 10:55 11:30

High Street 9:10 9:45 10:25 11:00 11:35

Old Town 9:15 9:50 10:30 11:05 11:40

Hospital 9:20 9:55 10:35 11:10 11:45

Station Road 9:25 10:00 10:40 11:15 11:50

2. 20 minute 3. 15 minutes

4.

Bus Number Station Road City Airport

1 8:05 am 8:40 am

2 9:15 am 9:50 am

3 10:25 am 11:00 am

4 11:35 am 12:10 pm

5 12:45 pm 1:20 pm

5. 10:05

Shape 1 page 151

1. kites f and i

2. Own pictures

240

Shape 2 page 152

1. 16cm 2. 12cm 3. 6cm 4. 8cm 5. 8cm 6. 10cm 7. 12cm

8. 10cm 9. 12cm 10. 12cm

Colour the same 2, 7, 9, 10 also 4, 5, and 6, 8

Shape 3 page 153

1. 6cm

2. Answers include rectangles 8cm by 4cm, 10cm by 2cm, 3cm by 9cm, 11cm by 1cm

241

Shape 4 page 154

equilateral isosceles Right-angled other

a e

d f

b g i j

h c

Shape 5 page 155

a. rectangle b. triangle c. octagon d. pentagon e. hexagon f. hexagon

1. equilateral 2. hexagons 3. isosceles 4. heptagons 5. quadrilateral 6. octagons

Shape 6 page 156

regular irregular

has line of symmetry has no line symmetry has has 5 or more sides has less than 5 sides

triangle quadrilateral

a j

d f h k c g

regular irregular

c h k

a j

d e f g i

5

4

1 2

6

7

regular irregular

a b j

c d f g h k

b e i

3

242

Shape 7 page 157

a5 b4 c1 d3 e2 f6 g9 h7 i8

Shape Is a prism Number of

faces

Number of

edges

Number of

corners

cone × 2 1 1

hemi sphere × 2 1 0

cuboid √ 6 12 8

square pyramid × 5 8 5

cylinder × 3 2 0

triangular pyramid × 4 6 4

triangular prism √ 5 9 6

hexagonal prism √ 8 18 12

cube √ 6 12 8

Shape 8 page 158

1. triangular prism 2. cuboid 3. cube 4. triangular pyramid

5. square pyramid 6. cuboid

Shape 9 page 159

a (2,6) b (7,7) c(1,4) d(6,5) e(4,2) f(6,3)

Shape 10 page 160

A 8cm² B 6cm² C 20cm² D 9cm² E 18cm² F 14cm²

36 cm²

243

Shape 11 page 161

2 28 cm²

1 18 cm²

4 25 cm²

3 42 cm²

244

Shape 12 page 162

An answer such as the shape below

1. 18 cm² 2. 21 cm²

3. 16 cm² 4. 24 cm²

245

Shape 13 page 163

Answers such as

1

2 3

4

1

5

6

246

Shape 14 page 164

Number of shape 1 2 3 4 5 6 7

Area in cm² 4 5 6 7 8 9 10

Perimeter in cm 10 12 14 16 18 20 22

What is the area 15cm² and perimeter 32cm

of the 12th shape?

1 2 3

4 5

6 7

247

Shape 15 page 165

248

1

2 1

2

Shape 16 page 166

1. diameter 5 cm radius 2 cm 2. diameter 3cm radius 1 cm

3. diameter 6cm radius 3cm 4. diameter 4cm radius 2cm

Shape 17 page 167

1. East 2. South 3. South west 4. South east 5. North 6. North west

7. North west 8. North

Shape 18 page 168

1. a. North b. windmill 2. a. South east b. hay barn

3. a. North west b. wheat field 4. 90º 5. 45º

Shape 19 page 169

A = 8 squares B = 9 squares C = 16 squares D = 12 squares E = 16 squares

F = 32 squares Shape F has the largest area Shape A has the smallest area

Shape 20 page 170

1.

Shape 21 page 171

1. 2 8 9 2. 1 3 10 11 3. 6 7

2. 3. 4

249

Handling Data 1 page 172

1.

Ride Tally Frequency

Dodgems ||̷|| ||| 8

Big Wheel |||̷| |||̷| || 12

Roller Coaster ||̷|| ||̷|| ||̷|| | 16

Roundabout ||̷|| || 7

a. 7 b. 12 c. 16 d. 43 2.

Eating Place Tally Frequency

Pizza Parlour ||̷|| |||| 9

Burger Bar |||̷| | 6

Café ||̷|| ||̷|| || 12

Fish & Chip Shop ||̷|| ||̷|| 10

a. The Café b. 37 c. 3


1. Favourite Meal

Meal Tally Frequency

Pizza ||̷|| ||̷|| |||| 14

Burger ||̷|| |||| 9

Roast Dinner ||̷|| ||̷|| ||̷|| | 16

Fish and Chips ||̷|| ||̷|| || 12

a. 5 b. Roast Dinner c. 51

2. Own answers


1. Favourite Food

Food Tally Frequency

cake ||̷|| ||̷|| 10

biscuits |||| 4

ice cream ||̷|| ||̷|| ||| 13

pizza ||̷|| 5

1. biscuits 2. 13 3. 5 4. 32

250



vegetable ||̷|| ||̷|| ||̷|| ||̷|| 20

tree ||̷|| ||̷|| 10

furniture ||̷|| ||̷|| 10

city ||̷|| ||̷|| ||̷|| 15

Names

Vegetable

Tree

Furniture

City

1. 10 2. 15 3. vegetable

Key = 5



circle ||̷|| ||̷|| ||̷|| ||̷|| |||| 24

triangle ||̷|| ||̷|| ||̷|| ||̷|| 20

pentagon ||̷|| ||̷|| ||̷|| | 16

rectangle ||̷|| ||̷|| 10

Shapes

circle

triangle

pentagon

rectangle

Key = 4 shapes 1. circle 2. 70

251


Pet dog cat fish horse mouse Number

of

Children

14 8 3 5 2

Class 4’s favourite Pets

9: dog cat fish horse mouse

2. 5 3. dog 4. 5 5. mouse


Class 4’s favourite biscuits

| | | | | | |

chocolate bourbon custard jammy rich

cream dodger tea

Biscuit

1. chocolate 2. 5 3. 19 4. 40

Number of

Children

0

4

8

12

Number of

Children

Number of

Children

16

4

8

12

0

252


1. 11 2. 5 3. 6 4. 66

5. Numbers Rolled Number Tally Number of rolls

1 ||̷|| ||̷|| | 11

2 ||̷|| ||| 8

3 ||̷|| ||̷|| |||| 14

4 ||̷|| ||̷|| | 11

5 ||̷|| ||̷|| 10

6 ||̷|| ||̷|| || 12


Examples such as:


apples bananas plums pears oranges lemons



Number

of fruit

sold

Number

of fruit

sold

4

8

12

16

20

28

32

36

3

6

9

12

15

18

27

30

33

36

0

24

21

24

0

253


Examples such as:





Number

of fruit

sold

Number

of fruit

sold

0

10

20

30

40

50

60

0

12

24

36

48

60

254


Class 4’s Traffic Survey

9:0 car lorry bus bike van

Vehicle

1. car 2. 17 3. There might be less vehicles on the road


3 6

12

15 42

24

30 33 36

21


2

5

10

17

25

35

Number of

Children

Number of

vehicles

40

0

10

20

30

4

8 16

20 28

32 40

255


15 5

25

35


3

17

21

33

5 15 10

25 35

45

20

30

40

50

60


2 3 4 6 8

9 12 16 17

18 21 22

24 26

28

34

2 4 6 8

12 16

10

24 36

42 32 20

28 30

40

256



circle triangle

Less than 40

14 24 36 8 17 19

16 18 23

32 7 25 22

27 35

40 or more

44 57 93

44 63 64 82

odd even

Between 30 and 60

35 57

32 36 52 44

Not between 30 and 60

93 7 25 63

17 19 27 23

14 8 82 16

22 64 18

4 8

16 20 28

40

6 18

12

24 30

36

60 12

2 3 10 15 17 21 22

5 9 25

26 34 35 38 45 50

257


blue yellow

even

50 24 8 84 54

78 40 20

30 36 12 14 22

odd

37 25 13

23 9 19 11 35

1. 8 2. 8 3. 5 4. 5 5. 13


Travel by car Do not travel by car

Use a red vehicle

Paul Mary

Sam Jake Hal Luke

Do not use a red vehicle

Tina Sally Toni Kay

Pip Tom

Jim Jade Cal

1. 6 2. 9 3. 8 4. 15


1. 8 2. 6 3. 3 4. 2 own choice of headings

Sam Jake

Hal Luke

Tina Tom

Sally Toni

Kay Pip

Mary

Paul

Travel by car Use a red vehicle

Jim Jade

Cal

258

Number Problems 1 page 189

1. 18 2. 33 3. 34 4. 1 5. 2 6. 2 + 3 7. 1+2+3 8. 3+4

9. 4+5 10. 1+2+3+4 11. 5+6 12. 3+4+5


1. 6+7 2. 2+3+4+5 3. 7+8 4. 8+9 5. 3+4+5+6 6. 9+10

7. 2+3+4+5+6

8. 1+2=3, 2+3=5, 3+4= 7, 4+5=9, 5+6=11, 6+7=13, 7+8=15, 8+9=17


1. 43 2. 44p 3. 73 4. £3·75 5. 135 6. 5 weeks 7. £4·13 8. 114


1. 124 2. 139 3. 128 4. 119 5. 339


1. 0 2. 6 3. 2 4. 2 5. 0 6. 4 7. 10 8. 4 9. 2 10. 8

11. 6 12. 4 13. 2

Number Problem 6 page 194

1. 1 2. 15 3. 1 4. 2 5. 4 6. 6 7. 6 8. 2 9. 8

10. 25 11. 9 12. 7 13. 13


Combinations include:

1. 8+1+7 2. 8+2+6 3. 4+5+7 4. 1+6+9 5. 3+4+9 6. 3+5+8

7. 1+2+7 9. 1+3+6 10. 4+5+3 11. 6+1+5 12. 9+1+2


20 20 10

10 20

30 10 10

50 20 30

10 60

70 20 10

1. 2.

259

5.


1. Answers include:

a. 1+8+6 b. 8+2+5 c. 4+5+6 d. 1+5+9 e. 2+4+9 f. 3+5+7 2.


1. 32 2. 45 3. 21 4. 7 5. 10 6. 2


1. 14+5=19 2. 21-5 =16 3. 24+15 4. 12×4=48 5. 15×2=30

6. 12÷4=3 7. 54+21=75 8. 54-21=33 9. 69-24=45 10. 64÷2=32

11. 64+29=93 12. 26×4=104 13. 49×2=98 14. 429+6=435

30 20 100

10 70

40 50 60

80 10 40

80 60

40 60 30

1 6 8

3 5 7

4 9 2

375 95

215

235 205 325

225 245

175

165 75 305

3. 4.

260

1

5

3

5

1

3


1. £25·16 2. £6·75 3. £8·75 4. £7·90 5. £168


1. 22 2. 101 3. 29 4. £4·50 5. 79 6. 12 7. 6 8. 36


1. 0 0·7 1 1·3 2. A 18cm² B 24cm² 3. A 20cm B 26cm 4.

4.

multiples of 3 not multiples of 3

odd numbers

even numbers

5. a. 12 b. 25

9 15 7 25

12 30 18 36 16 22 28

year 4 maths worksheets

Documents

sides of odd numbers

number sequences

red number

missing numbers

number problems answers

decimals ratio

maths worksheets

questions true