year 6 maths worksheets

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1 Year 6 Worksheets 200 Maths Worksheets Ages 10 -11 years Includes: Place, value and ordering Addition Subtraction Multiplication and Division Factors and Multiples Fractions and Decimals Ratio and Probability Shape, Angles Measuring, Time Money Handling Data Number Problems Answers Included © C. Diamond – Not for resale

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Page 1: Year 6 Maths Worksheets

1

Year 6 Worksheets

200 Maths Worksheets

Ages 10 -11 years

Includes: Place, value and ordering

Addition

Subtraction

Multiplication and Division

Factors and Multiples

Fractions and Decimals

Ratio and Probability

Shape, Angles

Measuring, Time

Money

Handling Data

Number Problems

Answers Included

© C. Diamond – Not for resale

Page 2: Year 6 Maths Worksheets

2

Contents

Page

1. Place, value and ordering 3

2. Addition 16

3. Subtraction 31

4. Multiplication 40

5 Factors and Multiples 66

6. Division 74

7. Multiplication and Division 90

8. Fractions and Decimals 95

9. Ratio and Probability 124

10. Handling Data 131

11. Shape 145

12. Time 167

13. Measuring 172

14. Money 179

15. Number Problems 185

Answers 202

End 252

Page 3: Year 6 Maths Worksheets

3

Place, value and ordering 1

What is the place value of the blue digits?

Draw a place value chart if it helps!

Example:

45713

The 5 is 5000

1. 62871 2. 9240

3. 617450 4. 42601

5. 237380 6. 960193

7. 344169 8. 75328

Write these numbers out in words.

9. 57826

10. 46310

11. 3290

12. 25891

Write these numbers in figures.

13. Seventeen thousand, one hundred and twenty

14. Fifty nine thousand, two hundred and six

Tth Th H T U

4 5 7 1 3

800

Fifty seven thousand, eight hundred and twenty six

Page 4: Year 6 Maths Worksheets

4

Place, value and ordering 2

Read these decimal fractions. What does the blue digit

represent?

1. 6·48

2. 3·78

3. 2·91

4. 5·14

5. 3.342

Write these numbers in order, smallest to largest.

6. 9·45 9·55 5·95 7·73 5·09

7. 1·68 1·86 1·62 1·87 1·61

8. 2·35 20·15 2·53 0·53 2·05

9. 1·17 1·117 1·07 1·007 1·71

Eight hundredths

Page 5: Year 6 Maths Worksheets

5

1·21

Place, value and ordering 3

Write the missing hundredth on the number lines.

1.

2.

3.

Write the missing thousandths on the number lines.

4.

5.

6.

1·364 1·35 1·351

4·044 4·03

1·34 1·2 1·22

5·69 5·55

4·0

2·890

Page 6: Year 6 Maths Worksheets

6

Place, value and ordering 4

For each set of numbers, underline the smallest number

and a cross through the largest number.

1. 4·13 3·672 4·013 3·009 4·123

2. 15·75 16·01 15·07 16·13 16·103

3. 23·12 23·21 23·02 23·01 23·13

4. 124·60 123·9 124·06 123·09 124·006

5. 0·01 0·02 0·002 0·1 0·03

What is the value of 4 in each of these numbers?

6. 17435 7. 14879

8. 40121 9. 377·4

Here are four digit cards.

10. What is the smallest number you can make using all

four cards?

11. What is the largest number you can make using all

four cards?

12. Underline the largest number.

9 2 0 3

Ninety five thousand, eight hundred and two Ninety five thousand, six hundred and sixty- two

Page 7: Year 6 Maths Worksheets

7

Place, value and ordering 5

1. Put these prices in order starting with the smallest.

£12425 £14908 £13967 £12245 £12634 £14900

2. Put these prices in order starting with the highest.

£12·15 £11·05 £12·75 £12·50 £11·06 £12·02

3. Put these masses in order starting with the heaviest.

9·06 kg 8·07kg 9·6kg 7·08kg 0·75kg 0·76kg

4. Find and mark the position of the following

numbers on the number line.

2·8 3·25 3·1 2·95

2.7 3.0 25 26 27 28 29 30 31

£ £ £ £ £ £

kg kg kg kg kg kg

£ £ £ £ £ £

2·7 3·0 3·4

Page 8: Year 6 Maths Worksheets

8

Place, value and ordering 6

Round these numbers to the nearest multiple of 10.

1. 45897 2. 2364

3. 5601 4. 90456

Round these numbers to the nearest multiple of 100.

5. 15756 6. 1387

7. 39004 8. 40318

Round these numbers to the nearest multiple of 1000.

9. 134894 10. 1399

11. 87417 12. 56328

Round these numbers to the nearest whole number.

13. 24·9 14. 16·4

15. 9·45 16. 11·09

17. 45·26 18. 23·55

19. 15·15 20. 0·56

Page 9: Year 6 Maths Worksheets

9

Place, value and ordering 7

Round the numbers to the nearest multiple of 10

1. 67 456

2. 15 894

3. 62 129

4. 34 592

Round the numbers to the nearest multiple of 100

5. 47 635

6. 25 001

7. 12 890

8. 31 504

9. 83 251

Round the numbers to the nearest multiple of 1000

10. 77 462

11. 19 921

12. 99 978

13. 289 131

Page 10: Year 6 Maths Worksheets

10

Place, value and ordering 8

Use the thermometer to help you work out these positive

and negative temperatures questions.

This thermometer shows

1. The temperature is 8°C. It drops by 12 degrees.

What is the temperature now?

2. The temperature is -12°C. It rises by 7 degrees.

What is the temperature now?

3. At night, the temperature was -8°C, in the day it

was 2°C. What was the difference between the

temperatures?

4. In Paris the temperature is -2°C and in Moscow it is

-11°C. How much colder is Moscow than Paris?

5. The temperature is -7°C. It rises by 17 degrees.

What is the temperature now?

6. The temperature in Oslo is -16°C. How much will

the temperature need to rise to be -3°C?

___________________________________________________________________________________________________

- 20 -15 -10 -5 0 5 10 15 20

Page 11: Year 6 Maths Worksheets

11

Place, value and ordering 9

Order these positive and negative numbers from lowest

to highest.

1.

2.

3.

4.

Work out these calculations.

5. 6-8= 6. -9+4=

7. -7+15= 8. 0-18=

9. -11-8= 10. -13+17=

- 4 - 7 8 - 10 4 -2

0 - 3 -22 - 14 2 -9

- 22 -5 20 -13 15 -12

-8 - 18 -28 -9 3 -19

Page 12: Year 6 Maths Worksheets

12

Place, value and ordering 10

Find the difference between these numbers.

Use the number line to help you.

A.

1. -8, 2 2. 4, -6

3. -9, -3 4. 1, -10

5. -7, 4 6. 8, -7

7. -10, 10 8. -3, -6

9. 9, -8 10. 0, -9

Work out these calculations without using a number line.

B.

1. -104 +12 2. -123 - 47

3. -80 - 23 4. 44 -123

5. 83 - 21 6. -147 - 24

7. -124+22 8. -163 - 65

9. -228+112 10. 452 -156

- 9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 - 10

10

Page 13: Year 6 Maths Worksheets

13

Place, value and ordering 11

A. Work out these square numbers.

1. 4² = 2. 9² =

3. 7² = 4. 1² =

5. 12² = 6. 2² =

7. 5² = 8. 8² =

9. 10² = 10. 11² =

11. 6² = 12. 13² =

B. Complete each of the following.

1. 4² + 6 = 2. 10² - 9 =

3. 12² + 11 = 4. 7² + 24 =

5. 4² + 2² = 6. 6² - 21 =

7. 11² - 3² = 8. 9² + 19 =

9. 6² + 6² = 10. 4² + 5² =

11. 12² - 5² = 12. 8² + 7² =

13. 9² - 7² = 14. 6² + 4² =

15. 13² - 9² = 16. 7² + 9² =

16

Page 14: Year 6 Maths Worksheets

14

Place, value and ordering 12

Work out the rule for each sequence below.

Write the next 3 numbers in each sequence, then write

the rule.

1. 100, 106, 112, , ,

The rule is add 6.

2. 445, 450, 455, , ,

The rule is _________________________________

3. -53, -50, -47, , ,

The rule is _________________________________

4. -24, -12, 0, , ,

The rule is _________________________________

5. 150, 125, 100, , ,

The rule is _________________________________

6. -60, -36, -12, , ,

The rule is _________________________________

7. 36, 45, 54, , ,

The rule is _________________________________

8. 15, -5, -25, , ,

The rule is _________________________________

Page 15: Year 6 Maths Worksheets

15

Place, value and ordering 13

Use the numbers from the cards to make general

statements about odd and even numbers.

Try at least three examples for each statement.

1. The sum of 3 odd numbers is

2. The sum of 2 even numbers is

3. The sum of an odd number and an even number is

4. The difference between 2 even numbers is

20 7 3 2 28 17 11

5 8 16 9 15 4 10

odd

3 + 5 + 9 = 17 7 + 17 + 11 = 35 15 + 9 + 7 = 31

Page 16: Year 6 Maths Worksheets

16

Place, value and ordering 14

Use the numbers from the cards to make general

statements about odd and even numbers.

Try at least three examples for each statement.

1. The product of 3 odd numbers is

2. The product of 2 even numbers is

3. The product of 2 odd numbers is

4. The product of 1 even number and 1 odd number is

2 9 1 12 22 7 10

4 5 15 3 6 11 8

Page 17: Year 6 Maths Worksheets

17

Addition 1

Partition the numbers into hundreds tens and units to help

you add them.

1. 325 + 278 = 300 +200 = 500 2. 167 + 164=

20 + 70 = 90

5+ 8 = 13

= 603

3. 456 + 234 = 4. 645 + 357=

5. 552 + 268 = 6. 785 + 247=

Round the second number to the nearest multiple of 10 or

100 to help work out these calculations.

7. 156 + 69 = 156 + 70 = 226 8. 456 + 89 =

226 - 1 = 225

9. 433 + 102 = 10. 391 + 99 =

Page 18: Year 6 Maths Worksheets

18

+ + +

Addition 2

Add these numbers using the vertical method.

1. 3568 2. 8501 3. 7494 4. 3464

+ 455 + 178 + 267 + 389

4023 1 1 1

5. 2784 6. 6891 7. 2879 8. 8936

246 567 352 957

9. 3046 10. 8501 11. 7494 12. 3464

+ 3589 + 2673 + 4761 + 3678

13. 7649 14. 6832 15. 9452 16. 3764

+ 8463 + 6945 + 7902 + 9673

17. 1388 18. 8501 19. 7494 20. 3464

38 3490 96 2389

239 594 2385 784

+ 2784 + 4891 + 3570 + 2754

4449 1 2 2

21. 1449 22. 9502 23. 6491 24. 4462

247 693 3479 593

5937 8462 2845 6936

+ 7461 + 794 + 6743 + 8931

+

Page 19: Year 6 Maths Worksheets

19

Addition 3

Write these calculations vertically and then work out the

answer.

1. 56987 + 6390 2. 98236 + 43367

3. 671782 + 87345 4. 378140 + 29893

5. 135899 + 89246 6. 783478 + 34729

7. 989367 + 35924 8. 45612 + 89249

Page 20: Year 6 Maths Worksheets

20

Addition 4

Write these calculations vertically and then work out the

answer.

1. 23789 + 3897 + 345 2. 13762 + 2351 + 899

3. 7335 + 25978 + 8935 4. 67789 + 4589 + 136

5. 99672 + 7824 + 189 6. 6849 + 9856 + 92361

7. 3893 + 98026 + 5864 8. 89572 + 9994 + 989

Page 21: Year 6 Maths Worksheets

21

Addition 5

Write these calculations vertically and then work out the

answer.

1. 6·98 + 34·78 2. 782·98 + 137·985

3. 67·981 + 257·452 4. 6712·12 + 95·246

5. 5036·89 + 467·907 6. 67·446 + 137·009

7. 904·136 + 984·341 8. 672·981 + 90·398

Page 22: Year 6 Maths Worksheets

22

Addition 6

Write these calculations vertically and then work out the

answer.

1. 73·34 + 56·34 + 3·45 2. 93·034 + 12·78 + 8·9

3. 1·945 + 89·231 + 9·45 4. 304·52 + 4·89 + 3·87

5. 98·452 + 2·341 + 9·98 6. 34·002 + 9·009 + 3·61

7. 78·34 + 10·007 + 3·679 8. 902·12 + 0·135 + 9·59

Page 23: Year 6 Maths Worksheets

23

Addition 7

Write in the missing numbers.

1. 2.

1 5 9 0 3 5 6 7

+ 1 + 7 4

1 8 4 1 5 3 1 2

3. 4.

5 7 2 8 3 5 6 7

+ 3 + 1 3

6 4 5 1 8 4 8 0

5. 6.

1 6· 3 5 2 5 4· 7

+ · 2 + 7 4·

1 9· 6 1 2 9· 5

7. 8.

2 ·5 7 3 1 9· 2 5

+ ·8 2 + 7 4·

3 ·4 1 5 9 3· 6 1

Page 24: Year 6 Maths Worksheets

24

Addition 8

Add the 2 digit numbers together, then use the answer to

work out the other calculations.

1. 57 + 21 = 2. 78 + 65 =

570 + 210 = 780 + 650 =

5700 + 2100 = 7800 + 6500 =

0·57 + 0·21 = 0·78 + 0·65 =

5·70 + 2·10 = 7·80 + 6·50 =

0·057 + 0·021= 0·078+0·065 =

3. 98 + 24 = 4. 56 + 75 =

980 + 240 = 560 + 750 =

9800 + 2400 = 5600 + 7500 =

0·98 + 0·24 = 0·56 + 0·75 =

9·80 + 2·40 = 5·60 + 7·50 =

0·098 + 0·024= 0·056+0·075 =

Page 25: Year 6 Maths Worksheets

25

Addition 9

Work out these addition calculations.

1. 5700 + 2500 =

2. 6400 + 3400 =

3. 5900 + 1800 =

4. 6600 + 7200 =

5. 1300 + 2900 =

6. 2900 + 7800 =

7. 5100 + 9900 =

8. 9300 + 7800 =

9. 6700 + 5800 =

10. 5600 + 8900 =

11. 4500 + 8600 =

12. 5800 + 3700 =

13. 9200 + 9600 =

What is the missing number in these calculations?

14. 5600 + = 7900

15. + 6800 = 11700

16. + 1400 = 5600

17. 5900 + = 7500

18. + 1300 = 8900

19. + 4900 = 7800

20. 2200 + = 8700

21. + 9500 = 14200

22. 9600 + = 22700

23. + 3800 = 17800

24. 4800 + = 6900

Page 26: Year 6 Maths Worksheets

26

Addition 10

What is the missing number in these calculations?

1. 5·71 + = 5·8

2. + 9·31 = 9·4

3. + 14·22 = 14·3

4. 5·52 + = 5·6

5. + 11·67 = 11·7

6. + 4·33 = 4·4

7. 2·27 + = 2·3

8. + 6·91 = 7

9. 9·12 + = 9·3

10. + 2·03 = 3·1

11. 4·36 + = 4·4

What is the missing number in these calculations?

12. 6·7 + = 7

13. + 5·3 = 6

14. + 14·2 = 15

15. 5·55 + = 6

16. + 13·46 = 14

17. + 4·83 = 5

18. 2·2 + = 3

19. + 6·91 = 7

20. 9·12 + = 10

21. + 2·03 = 3

22. 4·56 + = 5

Page 27: Year 6 Maths Worksheets

27

Addition 11

Work out these decimal calculations.

1. 0·3 + 0·26 =

2. 0·5 + 0·42 =

3. 0·15 + 0·62 =

4. 0·22 + 0·16 =

5. 0·73 + 1·44 =

6. 1·19 + 1·25 =

7. 5·51 + 3·93 =

8. 8·19 + 0·09 =

9. 7·37 + 4·67 =

10. 0·951 + 0·921 =

11. 7·142 + 0·497 =

12. 1·081 + 1·065 =

13. 1·032 + 0·079 =

14. 8·187 + 3·973 =

Page 28: Year 6 Maths Worksheets

28

Addition 12

1. Circle the two numbers which add up to 500.

2. Circle the two numbers which add up to 350.

3. Circle the two numbers which add up to 800.

4. Circle the three numbers which add up to 850.

5. Circle the three numbers which add up to 600.

201 175 425 199 325 256 254

225 175 150 250 195 100 155

555 350 125 150 450 255 375

225 150 300 450 350 250 425

25 125 150 275 75 425 200

Page 29: Year 6 Maths Worksheets

29

Addition 13

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

in the missing numbers.

1. 7624 + 3957 = 7624 + 7 + 50 + 900 + 3000 = +7 + 50 +900 +3000

7624 7631 7681 8581

2. 1357 + 297 = 1357 + 7 + 90 + 200 = + + 90 +200

1357 1364

3. 5724 + 562 =

4. 7534 + 1582 =

11581

Page 30: Year 6 Maths Worksheets

30

Addition 14

Use an empty number line to add up two numbers.

Fill in the missing numbers.

1. 9241 + 5176 = 9241 + 6 + 70 + 100 + 5000 = +6 +70 +100 +5000

9247 9317 9417 14417

2. 4276 + 247 = 4276 + 7 + 40 + 200 = + + 40 +

4276 4283

3. 3793 + 493 =

4. 5056 + 3873 =

9241

Page 31: Year 6 Maths Worksheets

31

Subtraction 1

Use complementary addition to find the difference

between two numbers. Use an empty number line.

Example:

604 – 74 = 6 + 20 + 500 + 4 = 530 +6 +20 +500 +4

74 80 100 600 604

1. 403 – 67 =

2. 309 – 94 =

3. 713 – 83 =

4. 521 – 78 =

Page 32: Year 6 Maths Worksheets

32

Subtraction 2

Subtract these numbers using the vertical method.

4 1 8 1

1. 5697 2. 5134 3. 7634 4. 4494

- 749 - 623 - 805 - 865

4948

5. 2845 6. 6793 7. 2942 8. 8634

- 783 - 985 - 836 - 459

9. 3049 10. 8467 11. 1123 12. 4678

- 2457 - 6734 - 1034 - 2489

13. 7356 14. 8469 15. 8174 16. 8312

- 4378 - 7356 - 4286 - 4295

17. 56345 18. 98534 19. 16474 20. 53464

- 7891 - 7351 - 7891 - 34897

21. 89321 22. 12567 23. 23870 24. 90501

- 6712 - 7834 - 12671 - 67232

Page 33: Year 6 Maths Worksheets

33

Subtraction 3

Write these calculations vertically and then work out the

answer.

1. 9746 - 6358 2. 8995 - 8439

3. 67986 - 8399 4. 67780 - 29936

5. 155783 - 84196 6. 93489 - 82457

7. 903401 - 98922 8. 65690 - 39897

Page 34: Year 6 Maths Worksheets

34

Subtraction 4

Write these calculations vertically and then work out the

answer.

1. 156·980 - 134·981 2. 782·98 - 137·99

3. 679·81 - 259·45 4. 6712·12 - 98·986

5. 1036·895 - 368·908 6. 267·446 - 189·77

7. 901·182 - 784·347 8. 872·981 - 89·396

Page 35: Year 6 Maths Worksheets

35

Subtraction 5

Write in the missing numbers.

1. 2.

3 2 9 0 5 3 2 4

- 8 - 3 7

2 7 5 2 1 9 5 4

3. 4.

6 3 2 7 8 6 1 9

- 8 3 - 2 3

3 6 4 4 3 5 9 6

5. 6.

2 2· 1 7 6 2 1· 6

- · 3 - 2 7 5·

1 6· 7 8 45 · 7

7. 8.

6 ·3 7 2 4 9· 1 6

- ·1 4 - 2 4·

1 ·2 3 8 2 4 · 6 8

Page 36: Year 6 Maths Worksheets

36

Subtraction 6

Subtract the 2- digit numbers from each other, then use

the answer to work out the other calculations.

1. 87 - 25 = 2. 74 - 35 =

870 - 250 = 740 - 350 =

8700 - 2500 = 7400 - 3500 =

0·87 - 0·25 = 0·74 - 0·35 =

8·70 - 2·50 = 7·40 - 3·50 =

0·087 - 0·025 = 0·074 - 0·035 =

3. 92 - 37 = 4. 76 - 29 =

920 - 370 = 760 - 290 =

9200 - 3700 = 7600 - 2900 =

0·92 - 0·37 = 0·76 - 0·29 =

9·20 - 0·37 = 7·60 - 2·90 =

0·092 - 0·037 = 0·076 - 0·029 =

Page 37: Year 6 Maths Worksheets

37

Subtraction 7

Work out these subtraction calculations.

1. 8700 - 2600 =

2. 6300 - 5400 =

3. 5800 - 2700 =

4. 8300 - 5800 =

5. 7300 - 2900 =

6. 2900 - 2200 =

7. 9600 - 3700 =

8. 9500 - 7700 =

9. 6400 - 4900 =

10. 11700 - 8700 =

11. 12400 - 3800 =

12. 22800 - 11700 =

13. 19200 - 15600 =

What is the missing number in these calculations?

14. 9600 - = 3400

15. - 4700 = 2700

16. - 1800 = 7600

17. 2400 - = 1900

18. - 1800 = 3700

19. - 4300 = 6700

20. 8200 - = 4700

21. - 9500 = 9200

22. 7400 - = 6700

23. - 2800 = 3800

24. 9800 - = 3900

Page 38: Year 6 Maths Worksheets

38

Subtraction 8

Work out these decimal calculations. Sometimes it helps

to change tenths to hundredths.

1. 1·3 - 0·6 =

2. 0·5 - 0·4 =

3. 0·75 - 0·6 =

4. 0·82 - 0·10 =

5. 0·77 - 0·34 =

6. 1·19 - 0·95 =

7. 5·5 - 0·43 =

8. 2·27 - 0·09 =

9. 6·37 - 4·69 =

10. 0·951 - 0·021 =

11. 7·282 - 0·297 =

12. 1·081 - 1·065 =

13. 1·067- 0·039 =

14. 8·163 - 3·952 =

Page 39: Year 6 Maths Worksheets

39

Subtraction 9

1. Circle the two numbers with a difference of 3.

2. Circle the two numbers with a difference of 8.

3. Circle the two numbers with a difference of 12.

4. Circle the two numbers with a difference of 0·5.

5. Circle the two numbers with a difference of 0·75.

-8 - 1·5 3·5 -6 7·5 5·5 1·5

11·5 17·5 -4·5 -2·5 -5·5 3·5 2·5

-8·8 -1·2 2·2 3·2 -5·2 8·5 1·2

1·25 -2·5 -1·5 -2·5 0·25 3·5 -1·0

1·75 - 1·5 1·25 -0·5 0·25 2·5 -0·2

Page 40: Year 6 Maths Worksheets

40

Multiplication 1

Multiply these numbers by 10.

1. 56 2. 78

3. 236 4. 600

5. 3912 6. 52891

7. 13 8. 2689

Multiply these numbers by 100.

9. 24 10. 14

11. 789 12. 400

13. 4510 14. 46813

15. 2296 16. 35891

Complete the multiplication calculations.

17. 80 × = 800 18. 37 × 100 =

19. 70 × = 700 20. 99 × 100 =

21. x × 10 = 500 22. 171 × = 1710

23. 124 × 100 = 24. 456 × = 4560

560

2400

Page 41: Year 6 Maths Worksheets

41

Multiplication 2

Work out these pairs of calculations.

1. 45 ×10 ×10 = 45 × = =

2. 89 ×10 ×10 = 89 × =

3. 24 ×10 ×10 ×10 = 24 × =

4. 321 ×10 ×10 = 321 × =

5. 90 ×10 ×10 ×10 = 90 × =

6. 305 ×10 ×10 ×10 = 305 × =

Decide whether to multiply by 10, 100 or 1000 to change

the first number to the second.

7. 236 2 360

8. 14 1 400

9. 27 270

10. 253 256 000

11. 98 9 800

12. 72 72 000

4500

×10

Page 42: Year 6 Maths Worksheets

42

Multiplication 3

Look at the rule for multiplying by 50.

Rule: To × 50 first × 100 then ÷ 2

Example 14 × 50 (14 × 100) ÷ 2 1400 ÷ 2 = 700

Multiply the numbers below by 50.

1. 11

2. 24 3. 29

4. 50

5. 36

Now look at the rule for multiplying by 25.

Use the rule to multiply these numbers by 25.

Rule: To × 25 first × 100 then ÷ 4

Example 18 × 25 (18 × 100) ÷ 4 1800 ÷ 4 = 450

Multiply the numbers below by 25.

6. 20

7. 16

8. 50

9. 34

10. 48

Page 43: Year 6 Maths Worksheets

43

16.

24.

= 384

Multiplication 4

Use the 8 times table and doubling to help multiply by

Example 13 × 16 (13 × 8) × 2 104 × 2 = 208

Multiply the numbers below by 16.

1. 14

2. 22

3. 15

4. 32

5. 42

Use the 6 times table and doubling to help multiply by

Example 16 × 24 (16 × 6 ) × 2 × 2 (96 × 2) × 2

Multiply the numbers below by 24.

6. 6

7. 14

8. 15

9. 50

10. 42

Page 44: Year 6 Maths Worksheets

44

Multiplication 5

Sweets come in different sized bags. Calculate how

many sweets you have altogether when you buy more

than one bag.

Try to work out the answers in your head.

1. a. Buy 7 bags

b. Buy 4 bags

c. Buy 9 bags

2. a. Buy 3 bags

b. Buy 5 bags

c. Buy 8 bags

3. a. Buy 4 bags

b. Buy 7 bags

c. Buy 9 bags

26 Strawberry

Chews

per bag

64

Chocolate

Drops

per bag

48

Lemon

Melts

per bag

Page 45: Year 6 Maths Worksheets

45

Multiplication 6

Partition each of these calculations to find the answer.

Example

46 × 4 = (40 × 4) + (6 × 4) = 160 + 24 = 184

1. 37 × 3 =

2. 65 × 4 =

3. 43 × 7 =

4. 59 × 8 =

5. 76 × 9 =

6. 87 × 6 =

7. 58 × 7 =

8. 79 × 8 =

Page 46: Year 6 Maths Worksheets

46

Multiplication 7

Partition each of these calculations to find the answer.

Example

92 × 8 = (90 × 8) + (2 × 8) = 720 + 16 = 736

1. 65 × 6 =

2. 45 × 9 =

3. 72 × 7 =

4. 49 × 9 =

5. 67 × 8 =

6. 54 × 6 =

7. 98 × 7 =

8. 73 × 8 =

Page 47: Year 6 Maths Worksheets

47

Multiplication 8

Find the missing number by multiplying mentally.

1. 64 × = 448

2. 134 × = 536

3. 115 × = 345

4. 144 × = 864

5. 132 × = 924

6. 87 × = 522

7. 29 × = 203

8. 63 × = 504

9. 5 × = 380

10. 4 × = 328

11. 3 × = 285

12. 8 × = 616

13. 9 × = 243

14. 11 × = 308

15. 4 × = 312

7

Page 48: Year 6 Maths Worksheets

48

Multiplication 9

Multiply these numbers by 49.

Multiply by 50 first then adjust.

Example

17 × 49 = (17 × 50) – 17 = 850 -17 = 833

1. 6 × 49 =

2. 4 × 49 =

3. 15 × 49 =

4. 8 × 49 =

5. 26 × 49 =

6. 33 × 49 =

7. 49 × 49 =

8. 94 × 49 =

Page 49: Year 6 Maths Worksheets

49

Multiplication 10

Multiply these numbers by 51.

Multiply by 50 first then adjust.

Example

14 × 51 = (14 × 50) + 14 = 700 -14 = 686

1. 5 × 51 =

2. 7 × 51 =

3. 9 × 51 =

4. 12 × 51 =

5. 24 × 51 =

6. 36 × 51 =

7. 78 × 51 =

8. 53 × 51 =

Page 50: Year 6 Maths Worksheets

50

Multiplication 11

When we multiply large numbers, we can use the grid

method. Fill in the gaps.

Example

628 × 7 = 600 20 8 = 4396

7

1.

465 × 5 = 400 60 5 =

4

2.

748 × 6 = 700 40 8 =

6

3.

734 × 3 = =

4.

876 × 9 = =

5.

978 × 8 = =

4200 140 56

Page 51: Year 6 Maths Worksheets

51

Multiplication 12

When we multiply large numbers we can use the grid

method. Fill in the gaps.

Example

5674 × 6 = 5000 600 70 4 = 34044

6

1.

2461 × 4 = 2000 400 60 1 =

4

2.

3255 × 5 = 3000 200 50 5 =

5

3.

6328 × 3 = =

4.

1289 × 7 = =

5.

4196 × 8 = =

30000 3600 420 24

Page 52: Year 6 Maths Worksheets

52

Multiplication 13

When we multiply large numbers, we can use the grid

method. Fill in the missing numbers.

Example

2__83 × 5 = 2000 600 80 3 = 13415

5

1.

4__56 × 3 = = 12768

3

2.

37__8 × 6 = = 22368

6

3.

614__ × 7 = = 43022

7

4.

__578 × 9 = = 41202

9

5.

7__52 × 8 = = 60416

8

10000 3000 400 15

Page 53: Year 6 Maths Worksheets

53

Multiplication 14

Approximate the answer to each calculation.

Fill in the gaps. Complete each multiplication.

1. 126×5 125 × 5 = 600 2. 756×4

126 756

× 5 × 4

500 (100 × 5) (700 × 4)

100 ( 20 × 5) ( 50 × 4)

30 ( 6 × 5) ( 6 × 4)

(126 × 5) (756 × 4)

3. 453×8 4. 691 × 6

453 691

× 8 × 6

( ) ( )

( ) ( )

( ) ( )

( ) ( )

5. 728×9 6. 847 × 8

728 847

× 9 × 8

( ) ( )

( ) ( )

( ) ( )

( ) ( )

+ +

+ +

+ +

Page 54: Year 6 Maths Worksheets

54

Multiplication 15

Approximate the answer to each calculation.

Fill in the gaps. Complete each multiplication.

1. 1526× 5 1500 × 5 = 7500 2. 2715 × 3

1526 2715

× 5 × 3

(1000 × 5) (2000 × 3)

( 500 × 5) ( 700 × 3)

+ ( 20 × 5) + ( 10 × 3)

( 6 × 5) ( 3 × 3)

3. 3642 × 5 4. 7367 × 3

3642 7367

× 5 × 3

( ) ( )

( ) ( )

+ ( ) + ( )

( ) ( )

5. 4318× 7 6. 6967×8

4318 6967

× 7 × 8

( ) ( )

( ) ( )

+ ( ) + ( )

( ) ( )

Page 55: Year 6 Maths Worksheets

55

Multiplication 16

Work out an approximate answer for each

multiplication. Then calculate the answer using a

standard method of multiplication.

1. 597×6 600 × 6 =3600 2. 736×6

597 736 × 6 × 6 3582 5 4

3. 268×6 4. 947× 8

268 947 × 6 × 8

5. 783×7 6. 937 × 7

783 937 × 7 × 6

Page 56: Year 6 Maths Worksheets

56

Multiplication 17

Work out an approximate answer for each

multiplication. Then calculate the answer using a

standard method of multiplication.

1. 4895×6 5000 × 6=30000 2. 6309 × 4

4895 6309 × 6 × 4 29370 5 5 3

3. 1297×5 4. 3437 × 6

1297 3437

× 5 × 6

5. 4779×7 6. 9786 × 8

4779 9786 × 7 × 8

Page 57: Year 6 Maths Worksheets

57

Multiplication 18

Answer these multiplication questions.

Calculate an approximate answer first, and then use the

standard method of recording. Show your working.

1. There are 4726 paper clips

in a box. How many paper clips

are there in 4 boxes?

2. The shop sells 2678 cakes

each day. How many cakes

are sold in 5 days?

3. A bus travels 3679 km

every week. How far does it

travel in 6 weeks?

4. A school cook buys 3478

carrots every week.

How many carrots did she buy

in 9 weeks?

Page 58: Year 6 Maths Worksheets

58

Multiplication 19

To multiply decimals numbers. First work out an

approximate answer then partition the number, multiply

each part and add them up.

Example

5·93 × 3 (6 × 3) = 18

5·00 × 3 = 15·00

0·90 × 3 = 2·70

0·03 × 3 = 0·09

17·79

1. 8·26 × 4 ( ) = 2. 4·81 × 5 ( ) =

8·00 × 4 = 4·00 × 5 =

0·20 × 4 = 0·80 × 5 =

0·06 × 4 = 0·06 × 5 =

3. 5·17 × 6 ( ) = 4. 6·35 × 4 ( ) =

5·00 × 6 = 6·00 × 4 =

0·10 × 6 = 0·30 × 4 =

0·07 × 6 = 0·05 × 4 =

5. 6·84 × 7 ( ) = 6. 9·68 × 8 ( ) =

6·00 × 7 = 9.00 × 8 =

0.80 × 7 = 0.60 × 8 =

0.04 × 7 = 0.08 × 8 =

Page 59: Year 6 Maths Worksheets

59

Multiplication 20

To multiply decimals numbers. First work out an

approximate answer then partition the number, multiply

each part and add them up.

1. 7·54 × 7 (8×7)= 56 2. 9·78 × 6 ( ) =

7·00 ×7= 9·00 × 6 =

0·50 ×7= 0·70 × 6 =

0·04 ×7= 0·08 × 6 =

3. 6·05 × 8 ( )= 4. 5·73 × 9 ( ) =

5. 12·24 × 3 ( ) = 6. 24·72 × 4 ( ) =

7. 16·82 × 5 ( )= 8. 23·06 × 6 ( ) =

Page 60: Year 6 Maths Worksheets

60

Multiplication 21

Write in the missing three-digit numbers.

1. × 2 = 300

2. × 2 = 354

3. × 10 = 2000

4. × 100 = 34000

5. × 0·1 = 50

6. × 1·5 = 300

7. × 0·5 = 200

8. × 0·2 = 120

Page 61: Year 6 Maths Worksheets

61

Multiplication 22

When we multiply numbers by a 2 digit number we can

use the grid method. Fill in the gaps.

Example 785 × 16 =

× 700 80 5 =

1. 476 × 15 =

× 400 70 6 =

2. 694 × 24 =

× 600 90 4 =

3. 829 × 37 =

× =

4. 497 × 68 =

× =

7000 800 50

4200 480 30 6

10

7850

4710

12560 1

+

4000 700 60

350 5

10

4760

+

4

20

+

+

+

Page 62: Year 6 Maths Worksheets

62

Multiplication 23

When we multiply large numbers by a 2 digit number we

can use the grid method. Fill in the gaps.

Example 5536 × 17 =

× 5000 500 30 6 =

1. 3472 × 25 =

× 3000 400 70 2 =

2. 6193 × 32 =

× 6000 100 90 3 =

3. 3831 × 53 =

× =

4. 8456 × 24 =

× =

5000 300 60

35000

50000

3500 210 42 7

10

55360

38752

94112 1 1 1

+

1400 40

60000

5

20

69440

+

2

30

+

+

+

Page 63: Year 6 Maths Worksheets

63

6 2 2

4 4

2 ×

(

1 1

0 0 8 4

8 0

4 1

4 5

)

)

4

4

2

2

2

×

×

× 2 0 0

( 2 0

( 6

4

)

Multiplication 24

Complete each multiplication.

Example 226 × 24 = 5424

1. 345 × 35 =

2. 746 × 43 =

2

4

2

4

4

Page 64: Year 6 Maths Worksheets

64

(

2 2

4

0 4 8

5 2

8 4

×

)

)

) 4

2

2

2

× 0

( 6 ×

( ×

6

2

2

0 2

0

4

0

0

2

Multiplication 25

Complete each multiplication.

1. 262 × 42 =

2. 756 × 36 =

3. 534 × 65 =

4

4

2 (

Page 65: Year 6 Maths Worksheets

65

Multiplication 26

Write in the missing numbers. You can use a calculator.

1. 2.

4 8 0 6 0

× 1 × 3 5

1 0 0 8 0 1 2 6 0 0

3. 4.

6 4 2 6 1

× 3 × 4 9

2 1 8 2 8 2 7 4 8 9

5. 6.

1 5· 3 1 2 6· 5

× 1· × 5·

2 ·6 0 1 6 9 5· 7 5

7. 8.

2 · 5 6 1 2 · 2 5

× 4 · 0 × 7 5 · 6 0

1 2 ·2 8 8 9 4 6 8· 9 0

Page 66: Year 6 Maths Worksheets

66

Factors and Multiples 1

Find all the factors of these numbers.

1. 18

2. 40

3. 64

4. 20

5. 36

6. 48

7. 24

Find three different ways to split these calculations using

factors. Then write the answer to the calculation.

1, 2, 3, 6, 9, 18

12 × 3 × 5, 15 × 6 × 2, 15 × 3 × 4 = 180

8. 12 × 15

9. 16 × 12

10. 24 × 18

11. 33 × 16

12. 27 × 18

13. 25 × 16

14. 24 × 25

Page 67: Year 6 Maths Worksheets

67

1 1 1

2 2 1 2

6 1 2 3 6 4

Factors and Multiples 2

A prime number has only 2 factors, itself and 1.

A composite number has more than 2 factors.

1 is neither a prime nor a composite number.

Fill in this table of factors for the numbers up to 20

Number Factors Number of Factors

Page 68: Year 6 Maths Worksheets

68

1 3 7 21

1

4

Factors and Multiples 3

Fill in this table of factors for the numbers from 21 to 45.

Number Factors Number of Factors

21

1

Page 69: Year 6 Maths Worksheets

69

Factors and Multiples 4

Look at the tables of numbers from 1 to 45 on the

previous two pages.

1. a. Make a list of all the numbers you found with

only two factors.

b. What are these numbers called?

2. a. Make list of all the numbers over 5 you found

with three factors.

b. What are these numbers called?

Page 70: Year 6 Maths Worksheets

70

Factors and Multiples 5

Answer these questions about factors, prime numbers

and composite numbers.

1. Are square numbers prime numbers or composite

numbers?

2. Can you find pairs of numbers up to 99 where the

digits are reversed and they are both prime

3. Explain why 845 could not be a prime number?

4. Explain why 266 could not be a prime number?

5. The sum of the digits in the number 21 are prime,

2+1 =3. Find 5 other numbers like this?

13, 31

numbers?

?

Page 71: Year 6 Maths Worksheets

71

Factors and Multiples 6

Find 10 multiples of these pairs of numbers. Underline

the common multiples.

1. 2

3

2. 5

4

3. 3

9

4. 5

7

5. 4

10

6. 6

9

2, 4, 6, 8, 10, 12, 14, 16, 18

3,6,9,12,15 18,21,24,27,30

Page 72: Year 6 Maths Worksheets

72

Factors and Multiples 7

Find 10 multiples of these sets of 3 numbers. Underline

the lowest common multiple.

1. 6

3

5

2. 3

6

8

3. 5

6

10

4. 4

6

9

5. 9

8

12

6,12,18,24,30,36,42,48,54,60

3,6,9,12,15 18,21,24,27,30

5,10,15,20,25,30,35,40,45,50

Page 73: Year 6 Maths Worksheets

73

Factors and Multiples 8

Work out the answer to these multiplication problems.

1. Write the first 6 multiples of 24.

2. Write the lowest common multiple of 3, 10 and 15

3. Find 3 common multiples of 7 and 6.

4. What is the third common multiple of 8 and 12?

5. Tom goes swimming every four days. Paul swims

every Saturday. They meet at the swimming pool

this Saturday, how long before they meet again?

6. Jane is threading beads. She starts with a red bead

and puts another red one every ninth bead. Her

second bead is a silver bead. She uses a silver bead

every fifteenth bead. How many beads will be

threaded before they are together again?

Page 74: Year 6 Maths Worksheets

74

Factors and Multiples 9

Work out the answer to these multiplication problems.

1. Write the first 8 multiples of 13.

2. Write the lowest common multiple of 4, 7 and 12.

3. List 10 multiples of 5 between 300 and 600.

4. a. Write the first 10 multiples of 25.

b. What do you notice about the multiples of 25?

5. List the first 20 multiples of ll.

Page 75: Year 6 Maths Worksheets

75

Division 1

Divide these numbers by 10.

1. 240 2. 3690

3. 130 4. 340

5. 4500 6. 46700

7. 1230 8. 78200

Divide these numbers by 100.

9. 6600 10. 400

11. 2300 12. 100

13. 6700 14. 92300

15. 2200 16. 54600

Complete the division calculations.

17. 80 ÷ = 8 18. 900 ÷ 100 =

19. 370 ÷ = 37 20. 5600 ÷ 100 =

21. ÷ 10 = 430 22. 130 ÷ = 13

23. 1200 ÷ 100 = 24. 98300 ÷ = = 983

24

66

Page 76: Year 6 Maths Worksheets

76

Division 2

Work out these calculations.

1. 400 ÷ 10 ÷ 10 = 400 ÷ =

2. 4500 ÷ 10 ÷ 10 = 4500 ÷ =

3. 9000 ÷ 10 ÷ 10 ÷10 = 9000 ÷ =

4. 80000 ÷ 10 ÷10 = 80000 ÷ =

5. 934 ÷ 10 ÷ 10 = 934 ÷ = =

6. 3215 ÷ 10 ÷10 ÷ 10 = 3215 ÷ =

7. 456 ÷ 10 ÷10 ÷ 10 = 456 ÷ =

Decide whether to divide by 10, 100 or 1000 to change

the first number to the second.

8. 560 56

9. 14400 144

10. 2490 249

11. 17200 172

12. 98000 98

13. 1380 1·38

100 4

÷10

Page 77: Year 6 Maths Worksheets

77

Division 3

Find all the factors of these numbers.

1. 32

2. 25

3. 48

4. 54

5. 60

6. 100

7. 108

Find three different ways to split these calculations using

factors. Then write the answer to the calculation.

1, 2, 4, 8, 16, 32

12. 800 ÷ 16

18

(168÷3)÷4, (168÷6) ÷2,(84÷12)+(84÷12)=14

4

11. 120 ÷ 24

18

10. 60 ÷ 15

9. 180 ÷ 15

8. 168 ÷ 12

13. 108 ÷ 27

14. 390 ÷ 15

Page 78: Year 6 Maths Worksheets

78

Division 4

Divisibility Tests

A number is divisible by 2 if the last digit is 0,2,4,6 or 8.

A number is divisible by 3 if the sum of its digits is

divisible by 3.

A number is divisible by 4 if the tens and units divide

exactly by 4.

A number is divisible by 5 if the last digit is 0 or 5.

A number is divisible by 9 if the sum of its digits are

divisible by 9.

A number is divisible by 10 if the last digit is 0.

Use the divisibility tests and approximation to decide if

the division calculations below are true or false.

Mark with a √ or x.

1. 468 ÷ 9 = 52 2. 560 ÷ 10 = 56

3. 154 ÷ 2 = 77 4. 326 ÷ 4 = 88

5. 264 ÷ 3 = 88 6. 92 ÷ 4 = 23

7. 232 ÷ 5 = 46 8. 369 ÷ 9 = 41

9. 171 ÷ 2 = 86 10. 405 ÷ 9 = 35

11. 176 ÷ 2 = 88 12. 240 ÷ 5 = 48

13. 465 ÷ 5 = 91 14. 148 ÷ 4 = 37

15. 189 ÷ 3 = 69 16. 324 ÷ 9 = 36

Page 79: Year 6 Maths Worksheets

79

3

8

1

2

3

8

2

4

Division 5

Approximate the answer first. Choose a standard method

of recording to work out the answer to each calculation.

Record any remainder as a mixed number.

Example

227 ÷ 8 240 ÷ 8 = 30

28 Answer 28

8 227

160 (20 × 8)

67

64 (8 × 8)

3

1. 246 ÷ 4 240 ÷ 4 = 60 2. 566 ÷ 5

61

4 246

240 ( × 4)

6

4 ( 1 × )

2

Answer 61 Answer

3. 294÷ 6 4. 451 ÷ 7

Answer Answer

~

~

~

~

~

~

~

~

~

~

Page 80: Year 6 Maths Worksheets

80

2

7

2

7

Division 6

Approximate the answer first. Choose a standard method

of recording to work out the answer to each calculation.

Record any remainder as a mixed number.

1. 149 ÷ 7 140 ÷ 7 = 20 2. 325 ÷ 6

21

7 149

140 (20 × 7)

9

7 ( 1 × 7)

2

Answer 21 Answer

3. 230 ÷ 6 4. 259 ÷ 5

Answer Answer

5. 748 ÷ 9 6. 685 ÷ 7

Answer Answer

~

~

~

~

~

~

~

~

~

~

~

~

Page 81: Year 6 Maths Worksheets

81

Division 7

Approximate the answer first. Choose a standard method

of recording to work out the answer to each calculation.

Record any remainder as a decimal number. Remember

to line the decimal points up under each other.

Example

28·3 ÷ 4 28 ÷ 4 = 7

7·075 Answer 7·075

4 28·3

28·0 (7 × 4)

0·30

0·28 (0.07 × 4)

0·02 (0.005 × 4)

1. 46·2 ÷ 7 42 ÷ 7 = 6 2. 11·75 ÷ 5

7 46·2

42·0 (6 × 7)

4·2 ( 0·7 × 7 )

Answer Answer

3. 25·9 ÷ 2 4. 18·9 ÷ 9

Answer Answer

~

~

~

~

~

~

~

~

~

~

Page 82: Year 6 Maths Worksheets

82

Division 8

Approximate the answer first. Choose a standard method

of recording to work out the answer to each calculation.

Record any remainder as a decimal number. Remember

to line the decimal points up under each other.

1. 84·6 ÷ 9 81 ÷ 9 =9 2. 32·5 ÷ 5

9 84·6

81·0 (9 × 9)

3·6 (0.4 × 9)

Answer Answer

3. 47·4 ÷ 5 4. 24·72 ÷ 2

Answer Answer

5. 28·2 ÷ 6 6. 60·8 ÷ 8

Answer Answer

~

~

~

~

~

~

~

~

~

~

~

~

Page 83: Year 6 Maths Worksheets

83

Division 9

Answer these problems on divisibility tests.

1. A number is divisible by 2 if the last digit divides

exactly by 2.

Underline the numbers that are divisible by 2?

2156 123 470 140 678 467 998 1002 771 43

2. A number is divisible by 4 if the last 2 digits divide

exactly by 4.

Underline the numbers that are divisible by 4?

12 66 94 104 236 126 282 398 448 732 512

3. A number is divisible by 25 if the last 2 digits are 00

25, 50 or 75.

Underline the numbers that are divisible by 25.

1025 1660 3450 36 775 240 900 3335 11175 45

6700 385 67450 24200 6590 1100 750 6648 175

4. A number is divisible by 8 if half of it is divisible by

4 or the last 3 digits are divisible by 8.

Underline the numbers that are divisible by 8.

6800 216 4256 444 816 612 2680 3156 796

Page 84: Year 6 Maths Worksheets

84

Division 10

Use your knowledge of the divisibility tests of 2, 4, 8 and

25 to answer these problems.

1. The year 2000 was a leap year. They occur every

four years.

a. Will the year 2024 be a leap year?

b. Will the year 2078 be a leap year?

c. Will the year 2036 be leap year?

2. Cookies come in packets of eight.

If Salford Junior school wants to buy 864 cookies.

Can they buy the exact number of packets of

biscuits?

How do you know?

3. A box of chocolates has 25 chocolates.

Could 3500 chocolates fit exactly into boxes?

How do you know?

4. There are four cups of water in litre.

Could 1786 cups of water be made into whole

litres?

How do you know?

Page 85: Year 6 Maths Worksheets

85

Division 11

Answer these problems on divisibility tests.

1. A number is divisible by 5 if the last digit is 0 or 5.

Underline the numbers that are divisible by 5.

6500 219 4250 445 805 610 2681 3156 790

2. A number is divisible by 3 if the sum of its digits is

divisible by 3.

Underline the numbers that are divisible by 3?

68 99 123 672 560 742 919 678 145 252

2106 178 471 142 6765 465 981 1002 771 43

3. A number is divisible by 6 if it is even and also

divisible by 3.

Underline the numbers that are divisible by 6.

69 72 94 1242 236 99 282 398 448 732 512

4. A number is divisible by 9 if the sum of its digits

are divisible by 9.

Underline the numbers that are divisible by 9.

68 900 609 504 112 799 75 810 702 333

Page 86: Year 6 Maths Worksheets

86

Division 12

Use the tests of divisibility to write 6 numbers:

1. divisible by 2 between 300 and 400

2. divisible by 5 between 1500 and 2000

3. divisible by 3 between 600 and 700

4. divisible by 6 between 900 and 1200

5. divisible by 4 between 2000 and 2100

6. divisible by 9 between 1500 and 2000

7. divisible by 8 between 1600 and 2000

8. divisible by 10 between 400 and 800

9. divisible by 9 between 1000 and 1400

10. divisible by 8 between 700 and 1000

Page 87: Year 6 Maths Worksheets

87

Division 13

1. Circle the two numbers with a remainder of 2

when divided by 6.

2. Circle the two numbers with a remainder of 5 when

divided by 12.

3. Circle the two numbers with a remainder of 3

when divided by 5.

4. Circle the two numbers with a remainder of 1 when

divided by 13.

5. Circle the two numbers with a remainder of 4

when divided by 8.

36 46 58 38 30 74 66

66 27 89 76 52 18 53

25 47 48 59 42 71 93

65 37 79 40 28 15 24

36 30 22 72 42 62 92

Page 88: Year 6 Maths Worksheets

88

Division 14

Write in the missing three-digit numbers.

1. ÷ 2 = 75

2. ÷ 3 = 122

3. ÷ 10 = 27

4. ÷ 5 = 25

5. ÷ 100 = 4·25

6. ÷ 50 = 8

7. ÷ 100 = 7·62

8. ÷ 25 = 20

Page 89: Year 6 Maths Worksheets

89

Division 15

Approximate the answer first. Choose a standard method

of recording to work out the answer to each calculation.

1. 437 ÷19 2. 648÷ 24

19 437 24 648

Answer Answer

3. 459 ÷17 4. 5 4. 546÷14

Answer Answer

5. 522 ÷29 6. 663÷13

Answer Answer

~

~

~

~

~

~

~

~

~

~

~

~

Page 90: Year 6 Maths Worksheets

90

Multiplication and Division 1

Here is the guide to prices the London Express Bus

Services use in Southern England.

Use it to help you to answer these questions.

1. What is the total cost for a family of four to travel to

Worthing?

2. Three people took a bus ride it cost them £34.

Where did they travel to?

3. Four people travelled separately to Dover.

How much would each person save if they travelled

as a family?

4. Six people travel to Worthing.

What is the cheapest price they pay?

5. Nine people travel to Brighton.

What is the cheapest price they pay?

6. Seven people travel together to Brighton.

The driver gave them £8 change.

How much money did they give him?

London Express Bus Service

Worthing Brighton Dover

1 person £10 £12 £14

2 people £8 each £11each £12 each

A group of 4 £6 each £7 each £9 each

Page 91: Year 6 Maths Worksheets

91

17

27

Multiplication and Division 2

How many different answers can you get from these

calculations? (Use brackets and calculate the numbers

inside the brackets first!)

Example 6 × 5 + 4 ÷ 2 = (6 × 5) + 4 ÷ 2 = 30+4 ÷ 2 =

= 6 × (5 + 4) ÷ 2 = 9 × 6 ÷ 2 =

= 6 × 5 + (4 ÷ 2) = 2 + 30 = 32

1. 4 + 8 × 7 + 6 =

2. 64 ÷ 8 × 4 × 3 =

3. 100 ÷ 5 × 5 +4 =

4. 56 ÷ 4 × 2 × 7 =

5. 3 + 7 × 5 + 6 =

Page 92: Year 6 Maths Worksheets

92

Multiplication and Division 3

Use brackets to make each answer an even number.

Example:

30 ÷ 6 + 5 × 3 = (30 ÷ 6) + (5 × 3) = 5 + 15 = 20

1. 56 – 24 ÷ 8 =

2. 48 + 15 ÷ 3 + 7 =

3. 13 × 4 × 2 - 20 =

4. 56 ÷ 8 + 6 =

5. 47–11 × 12 ÷ 3 =

6. 7 × 7 + 9 × 3 =

Use brackets to make answers totalling 100.

7. 13 + 7 × 14 – 9 =

8. 14 + 6 × 9 + 32 =

9. 26 + 24 × 16÷8 =

10. 28 × 2 – 31 × 4 =

11. 56 ÷ 2 + 8 × 9 =

12. 5 × 12 × 4 – 28 =

Page 93: Year 6 Maths Worksheets

93

Multiplication and Division 4

It has been agreed by mathematicians that if a sum has a

bracket as part of it then the part inside the brackes will

be calculated first. Then if there is any division this is

calculated next followed by multiplication, addition and

finally subtraction. This is known as BODMAS.

Brackets Of Division, Multiplication, Addition, Subtraction

Use BODMAS to answer these questions.

1. 15 +19 – 7 = 2. 5 + 8 × 3 =

3. (14 + 7) – 15 = 4. 6 + 6 ÷3 =

5. 11 + 5 × 6 = 6. (24 – 9) + (19 – 8) =

7. 12 + (7 × 7) = 8. 60 – (3 × 9) =

9. 72 – (8 × 5) = 10. (11 × 5) + (7 × 6) =

11. (8 × 8) – (6 × 9) = 12. 9 + 32 ÷ 8 =

13. 45 ÷ (3 × 3) = 14. 130 – 25 × 3 =

15. 150 + (20 × 4) = 16. (36 ÷ 3) + (24 ÷ 4) =

17. 2000 – (12 × 4) = 18. 97 – (36 ÷ 2) =

19. (38 ÷2) + 42 ÷ 2 = 20. 420 – 12 × 11=

Page 94: Year 6 Maths Worksheets

94

Multiplication and Division 5

Write in the missing three-digit numbers.

1. ÷ 2 = 450

2. × 2 = 700

3. ÷ 10 = 39

4. × 10 = 1000

5. ÷ 100 = 7·55

6. × 1·5 = 375

7. × 0·5 = 250

8. ÷ 100 = 2·01

Page 95: Year 6 Maths Worksheets

95

7

12

3

8

15

100

5

8

15

100

3

10

8

9

Fractions and Decimals 1

Change these improper fractions to mixed numbers.

A 1. 11 = 2. 13 =

8 6

3. 22 = 4. 8 =

9 5

5. 17 = 6. 137 =

8 100

7. 20 = 8. 29 =

19 4

Change each mixed number to an improper

fraction.

B

1. 2 = 2. 2 =

3. 4 = 4. 4 =

5. 2 = 6. 3 =

1

Page 96: Year 6 Maths Worksheets

96

1

2 1

6

Fractions and Decimals 2

What is the relationship between these fractions?

Use the diagrams to help you.

1.

2.

3.

4.

1

6

is three times as big as

1

2

1

6

1

3

1

12

1

2

1

2

1

8

Page 97: Year 6 Maths Worksheets

97

Fractions and Decimals 3

What is the relationship between these fractions?

Use the diagrams to help you.

1.

2.

3.

4.

1

4

1

2

1

12

1

4

1

10

1

5

1

2 1

4 1

16

Page 98: Year 6 Maths Worksheets

98

Fractions and Decimals 4

Part of each shape below had been shaded.

Work out which part has been shaded and circle the

fraction on the number line below.

1.

2.7 3.0 25 26 27 28 29 30 31

2.7 3.0 25 26 27 28 29 30 31

3.

2.7 3.0 25 26 27 28 29 30 31

0 ⅛ ¼ ⅜ ½ ⅝ ¾ ⅞ 1

0 ⅛ ¼ ⅜ ½ ⅝ ¾ ⅞ 1

0 ⅛ ¼ ⅜ ½ ⅝ ¾ ⅞ 1

Page 99: Year 6 Maths Worksheets

99

Fractions and Decimals 5

Answer these fraction questions.

1. Which of these fractions are less than 1?

2. Which of these fractions are less than 2?

3. Which of these fractions are more than 1?

1

6

2

5

5

2 12

9

3

4 8

7

9

6

12

5 18

10

9

4 11

7

5

2

3

2

2

7

8

9 9

8

3

10 10

7

Page 100: Year 6 Maths Worksheets

100

Fractions and Decimals 6

Divide the numerator and the denominator by two to

simplify the fractions.

1. 2 = 2. 6 =

8 8

3. 14 = 4. 10 =

20 18

5. 12 = 6. 6 =

100 10

Divide the numerator and denominator by three to

simplify the fractions.

7. 3 = 8. 3 =

6 9

9. 9 = 10. 3 =

15 18

11. 6 = 12. 9 =

21 24

1

4

Page 101: Year 6 Maths Worksheets

101

Fractions and Decimals 7

Multiply the numerator and the denominator by two to

find an equivalent fraction.

1. 7 = 2. 5 =

9 9

3. 3 = 4. 4 =

4 5

5. 5 = 6. 7 =

6 10

Reduce the fractions to their simplest form.

7. 3 = 8. 6 =

9 16

9. 30 = 10. 45 =

100 100

11. 21 = 12. 14 =

49 36

14

18

Page 102: Year 6 Maths Worksheets

102

Fractions and Decimals 8

Order these fractions.

First, convert them to equivalent fractions.

1. 3 6 2 4 10 5

2. 1 5 2

2 6 3

3. 1 1 2 3 6 9

4. 1 1 1

4 2 3

5. 3 7 1 4 8 2

6. 2 7 2

5 10 3

7. 7 2 1 18 9 3

8. 4 3 1

7 4 2

9. 5 6 2 8 24 3

15 12 8 2 6 3

20 20 20 5 10 4 =

Page 103: Year 6 Maths Worksheets

103

=

Fractions and Decimals 9

Add these fractions together.

You will need to convert the fractions to the same

denominator before you can add them.

1. + = + =

2. + =

3. + =

4. + =

5. + =

6. + =

7. + =

8. + =

1

4 1

3

3

12

4

12

7

12

1

4 1

5

1

2 1

3

1

9 2

3

5

12 1

4

7

10 1

5

9

20 2

5

5

18 2

3

Page 104: Year 6 Maths Worksheets

104

= 1

15

24

Fractions and Decimals 10

Add these fractions together.

You will need to convert the fractions to the same

denominator before you can add them.

1. + = + =

2. + =

3. + =

4. + =

5. + =

6. + =

7. + =

8. + =

5

6

19

24

24

20

24 19

24

2

5

7

10

2

3

3

4

6

7

5

14

7

12

3

4

9

15

2

3

9

10

4

5

17

20

3

10

Page 105: Year 6 Maths Worksheets

105

= 3

10

Fractions and Decimals 11

Subtract the second fraction.

You will need to convert the fractions to the same

denominator before you can subtract them.

1. - = - =

2. - =

3. - =

4. - =

5. - =

6. - =

7. - =

8. - =

3

5

3

10

6

10 3

10

1

2 1

4

2

3 1

6

3

4 1

2

9

10 3

5

5

12 1

3

7

10 3

5

3

4 2

3

Page 106: Year 6 Maths Worksheets

106

= 1

6

Fractions and Decimals 12

Subtract the second fraction.

You will need to convert the fractions to the same

denominator before you can subtract them.

1. - = - =

2. - =

3. - =

4. - =

5. - =

6. - =

7. - =

8. - =

5

6

2

3

5

6 4

6

4

5 3

10

2

3

1

4

7

8

1

4

11

12 3

4

13

15 2

5

9

10 3

5

19

20

3

4

Page 107: Year 6 Maths Worksheets

107

- = 1

1

5

3

4 1

12

1

2

3

7

8

3

4

3

8

7

15

4

5

7

10

19

24

Fractions and Decimals 13

Subtract the second fraction.

You will need to convert the fractions to the same

denominator before you can subtract them.

1. 1 - =

2. 1 - =

3. 1 - = =

4. 2 - =

5. 4 - 2 =

6. 5 - 3 =

7. 1 - =

8. 1 - =

2

3 21

12 8

12

1

10

1

6

3

4

9

20

7

8

Page 108: Year 6 Maths Worksheets

108

19

Fractions and Decimals 14

To multiply fractions:

1. Multiply the top numbers (the numerators)

2. Multiply the bottom numbers (the denominators)

3. Simplify the fractions.

Example × = = =

Multiply these fractions.

1. × = 2. × =

3. × = 4. × =

5. × = 6. × =

To divide a fraction by a whole number:

1. Multiply the denominator by the whole number.

2. Simplify the fraction if needed.

Example

Divide these fractions by the whole number.

1. ÷ 2. ÷ 6 =

3. 4. ÷ 3 =

5. 6. ÷ 6 =

4 =

2 =

2

12

=

=

1

6

1

4 2

3

1 × 2

4 × 3

2

12 1

6

1

2

1

3 1

2

1

4

1

4

1

4

2

3

1

2

=

4

5

1

3 5

6

1

5

2

3 ÷

1 × 2

3 × 4

1

5 3 =

2

3

1

4 ÷ 5 =

3

4

1

6 ÷ 3 =

3

5

Page 109: Year 6 Maths Worksheets

109

3

4

¼ of 60 =15

(60÷4 = 15)

¾ of 60 = 45

(15×3 = 45)

1

3

of 102 = 34 (102÷3 = 34)

1

3

2

5

4

9

2

3

7

10

0

3

10

0

Fractions and Decimals 15

Find the fractions of these numbers and quantities.

Example

of 60 = 45

1. of £102 =

2. of 126 =

3. of 35 =

4. of 200 =

5. of 81km =

6. of 230 =

Page 110: Year 6 Maths Worksheets

110

43

100

7

100

Fractions and Decimals 16

Find the fractions of these numbers and quantities

1. of £48 =

2. of 96 =

3. of 200cm =

4. of 3000g =

5. of 621 =

6. of 400ml =

7. of 950km

3

10

2

3

3

5

1

8

3

4

Page 111: Year 6 Maths Worksheets

111

Fractions and Decimals 17

Write these fractions as decimals.

1. 15 = 2. 9 = 10 10

3. 25 = 4. 35 = 10 10

5. 30 = 6. 75 = 100 100

7. 95 = 8. 158 = 100 100

9. 7 = 10. 340 = 100 100

11. 350 = 12. 750 = 1000 1000

13. 1245 = 14. 568 = 1000 1000

1·5

Page 112: Year 6 Maths Worksheets

112

Fractions and Decimals 18

Write these fractions as decimals. Use a calculator to work them out if you need to.

Write answers to two decimal places.

Example 2 = 1÷5 = 0·20 0·2 × 2 = 0·40 5

1. 1 = 2. 1 = 2 4

3. 1 = 4. 1 = 10 5

5. 3 = 6. 1 = 4 3

7. 1 = 8. 1 = 6 100

9. 1 = 10. 5 = 8 6

11. 7 = 12. 4 = 8 5

Page 113: Year 6 Maths Worksheets

113

Fractions and Decimals 19

Write these decimals as fractions.

1. 0·80 = 2. 0·15 =

3. 0·46 = 4. 2·58 =

5. 0·257= 6. 1·634 =

Underline the decimal that is equal to the fraction.

7. 146 1·46 0·146 10·146 14·60

100

8. 24 2·40 0·24 0·024 20·40

100

9. 129 1·29 0·129 10·29 0·0129

1000

10. 937 9·37 93·7 0·937 0·0937

1000

11. 1256 0·1256 1·256 10·1256 0·01256

1000

12. 78 7·8 0·78 0·078 0·0078

1000

Page 114: Year 6 Maths Worksheets

114

Fractions and Decimals 20

A. Add these decimals.

1. 0·7 + 0·9 = 2. 0·4 + 0·3 =

3. 1·5 + 0·6 = 4. 1·4 + 1·7 =

5. 0·8 + 0·4 = 6. 2·6 + 0·4 =

7. 1·9 + 0·8 = 8. 1·8 + 1·6 =

9. 6·4 + 3·5 = 10. 3·4 + 4·9 =

B. Add these decimals.

1. 0·17 + 0·92 = 2. 1·45 + 0·31 =

3. 1·42 + 1·43 = 4. 2·34 + 1·77 =

5. 0·82 + 0·46 = 6. 12·61 + 0·43 =

7. 1·97 + 2·87 = 8. 1·93 + 1·88 =

9. 4·49 + 4·59 = 10. 0·47 + 4·96 =

11. 2·15 12. 6·34 13. 2·17 14. 9·57

1·67 2·45 7·23 3·46

+ 3·11 + 3·47 + 3·18 + 12·35

1·6

1·09

Page 115: Year 6 Maths Worksheets

115

Fractions and Decimals 21

A. Subtract these decimals.

1. 0·8 - 0·6 = 2. 0·9 - 0·3 =

3. 3·5 - 0·4 = 4. 10·8 - 6·5 =

5. 7·5 - 1·6 = 6. 2·3 - 1·4 =

7. 5·9 - 3·8 = 8. 6·8 - 4·9 =

9. 6·4 - 3·8 = 10. 3·4 - 2·7 =

B. Subtract these decimals.

1. 3·13 - 0·72 = 2. 4·44 - 1·55 =

3. 9·02 - 1·04 = 4. 2·56 - 1·47 =

5. 3·46 - 2·58 = 6. 14·61 - 7·43 =

7. 8·67 - 2·86 = 8. 1·78 - 1·53 =

9. 9·41 - 4·39 = 10. 8·47 - 6·96 =

11. 2·15 12. 6·34 13. 4·17 14. 9·34

-1·67 -3·46 -3·89 -6·58

0·2

2·41

Page 116: Year 6 Maths Worksheets

116

Fractions and Decimals 22

Order these decimals from smallest to largest.

1.

2.

3.

4.

5.

2·13 2·78 2·96 2·15 2·75 2·28

6·24 6·2 6·61 6·23 6·5 6·09

38·01 38·12 38·02 38·34 38·30 38·13

1·04 1·40 1·44 1·14 1·004 1·041

0.17 0·017 0·111 0·001 0·710 0·701

Page 117: Year 6 Maths Worksheets

117

Fractions and Decimals 23

A. Multiply these tenths by a single digit.

1. 0·6 × 3 = 2. 0·7 × 5 =

3. 3·7 × 2 = 4. 4·8 × 3 =

5. 6·5 × 6 = 6. 5·4 × 4 =

7. 3·1 × 8 = 8. 5·8 × 6 =

9. 3·4 × 9 = 10. 7·8 × 8 =

B. Multiply these hundredth by a single digit.

1. 3·53 × 4 = 2. 1·25 × 7 =

3. 6·32 × 3 = 4. 5·16 × 4 =

5. 5·18 × 2 = 6. 6·34 × 3 =

7. 7·34 × 5 = 8. 3·72 × 4 =

9. 6·07 × 6 = 10. 7·74 × 8 =

11. 3·24 12. 9·78 13. 8·69 14. 6·06

× 5 × 7 × 9 × 8

1·8

14.12

Page 118: Year 6 Maths Worksheets

118

Fractions and Decimals 24

A. Divide these tenths by a single digit.

1. 16·6 ÷ 4 = 2. 21·5 ÷ 5 =

3. 12·8 ÷ 2 = 4. 13·6 ÷ 4 =

5. 17·7 ÷ 3 = 6. 16·1 ÷ 7 =

7. 20·8 ÷ 8 = 8. 38·7 ÷ 9 =

9. 13·5 ÷ 9 = 10. 25·2 ÷ 7 =

B. Divide these hundredth by a single digit.

1. 54·06 ÷ 3 = 2. 9·36 ÷ 4 =

3. 30·60 ÷ 5 = 4. 18·72 ÷ 6 =

5. 32·34 ÷ 7 = 6. 28·84 ÷ 4 =

7. 17·82 ÷ 6 = 8. 9·52 ÷ 7 =

9. 15·21 ÷ 9 = 10. 3·04 ÷ 8 =

11. 3 17·04 12. 4 17·96 13. 6 14·28 14. 7 3·22

4·15

18·02

Page 119: Year 6 Maths Worksheets

119

Fractions and Decimals 25

Write the equivalent fractions for these percentages.

1. 24% = 2. 30% =

3. 10% = 4. 90% =

5. 75% = 6. 25% =

Order the fractions and decimals from smallest to largest.

7. 12% 0·4 35%

8. 60% 59% 0·54

9. 0·35 40% 50%

10. 99% 0·89 0·98

What is the missing percentage?

11. 50% 12. 75% 13. 64% 14. 12%

2

10 1

4

3

4

7

8

1

3 4

6

9

10 17

20

50%

Page 120: Year 6 Maths Worksheets

120

Fractions and Decimals 26

Find the percentages of these amounts. Use the answer

to the first percentage to help you work out the second.

Example

50% of £28 = £28 ÷2 = £14. 25% of £28 = £14÷2=£7

1. 50% of £300= 25% of £300=

2. 50% of £68 = 25% of £68 =

3. 50% of £90 = 25% of £90 =

4. 10% of £70 = 40% of £70 =

5. 10% of £700= 40% of £700=

6. 10% of £26 = 40% of £26 =

7. 5% of £55 = 25% of £55 =

8. 25% of £80 = 12½% of £80=

9. 25% of £28 = 12½% of £28=

10. 10% of £66 = 60% of £66 =

11. 10% of £54 = 60% of £54 =

12. 10% of £78 = 90% of £78 =

Page 121: Year 6 Maths Worksheets

121

Fractions and Decimals 27

Match the amounts that are the same.

2

17

100

2·17

217 %

117 %

1·17

1

17

100

1

5

20 %

0·2

9

10

35%

7

20

0·35

90%

0·9

24

25

96%

0·96

5%

0·05

1

20

39

50

78%

0·78

Page 122: Year 6 Maths Worksheets

122

Fractions and Decimals 28

Work out these percentage problems. Show your work.

1. There are 50 children in the park.

a. 50% of the children are under 5. How many

children is that?

b. 10% of the children are playing on the climbing

frame. How many children is that?

c. 15 children are wearing boots what percentage is

that?

2. There are 48 people working at the supermarket.

a. 25% work on the tills. How many people is this?

b. 36 of the workers are female.

What percentage of the workers are male?

c. 12·5% of the workers are on the early shift.

How many people is this?

Page 123: Year 6 Maths Worksheets

123

Fractions and Decimals 29

Answer these percentage problems.

1. There are 32 children in a class. They did a survey

of favourite fruit. 25% like apples best.

How many children is this?

2. James got 16 spellings right out of 20.

What percentage did he get right?

3. Estimate the percentage of

The rectangle that is

coloured yellow?

4. Melissa’s Dad gives her the choice between getting

20% of £55 or of £30.

You can use a calculator to work out which is more

and by how much?

2

5

Page 124: Year 6 Maths Worksheets

124

Ratio and Probability 1

A. Work out the ratio of red to yellow squares.

Example

The ratio is red square to every yellow squares.

1.

The ratio is red squares to every yellow squares.

2.

The ratio is red squares to every yellow squares.

B. Look at the patterns above. Work out the

proportion of the squares which are red.

Example

in every squares are red.

1. in every squares are red,

2. in every squares are red.

1

4

1

3

Page 125: Year 6 Maths Worksheets

125

Ratio and Probability 2

Answer these problems involving ratio and proportion.

1. Jill has a bag of 16 sweets. She has 1 orange sweet

for every 3 red sweets.

a. What is the ratio of red to orange sweets? :

b. What proportion of sweets are red? in

c. How many orange sweets are there?

2. A cake recipe needs 1 egg to make 6 cakes.

Tom wants to make 24 cakes.

a. What is the ratio of eggs to cakes? :

b. How many eggs are there?

3. At the zoo, school parties must have a ratio of 1 adult

to every 5 children. The school takes 60 children.

a. How many adults must go on the trip?

b. What proportion of adults are on the trip in

4. Class 6b has 36 children. The ratio of boys to girls

is 2:1.

a. How many boys are in class 6b?

b. What proportion of the class are girls? in

1

3

Page 126: Year 6 Maths Worksheets

126

Ratio and Probability 3

Answer these ratio and proportion problems.

1.

+ =

Pink paint is mixed in a ratio 1:6 red to white.

If 1·75 litres red is used, then how much white is used?

2.

a. The ratio yellow to green?

b. The proportion yellow to green?

c. The fraction green?

d. The area of the yellow rectangle is the size of

the green rectangles.

3.

c. The fraction pink?

d. The area of the pink rectangle is the size of the

blue rectangles.

:

1 in every

a. The ratio blue to pink?

b. The proportion pink to blue?

:

1 in every

Page 127: Year 6 Maths Worksheets

127

Ratio and Probability 4

Work out the probability that these events will happen.

Example

What is the probability you will pick a heart from a set of

Jacks from a pack of cards?

1 out of 4 = ¼ = 0·25 The probability is 0·25.

1. What is the probability that you will toss heads on a

coin?

2. What is the probability Jim will pick a blue ball

from this bag of balls?

3. What is the probability Jim will pick a red ball?

4. What is the probability Jim will pick a yellow ball?

5. What is the probability Jim will pick a round ball?

Page 128: Year 6 Maths Worksheets

128

Ratio and Probability 5

Use the words and phrases below in the sentences to

show the probability of an event happening.

1. If I drop a coin there is an ______________ it will

land heads up.

2. It is ____________ there will be a Tuesday this

week.

3. There is a _________________ that I will see a cat.

4. It is _________________ that there will be 32 days

this month.

5. If a 5 year old runs against a 10 year old a

___________ result should occur.

6. If I choose a card from a pack the result should be

_________________.

7. There is a __________________________ that a

card picked from a pack of 52 cards will be red.

8. It is ______________ I will go to the moon.

equal chance likely Fifty-fifty chance random

biased impossible certain good chance

unlikely

Page 129: Year 6 Maths Worksheets

129

Ratio and Probability 6

Answer these probability problems. Give the answer as a

fraction.

1. A bag of sweets has 6 red and 3 orange sweets.

What is the probability that a random sweet taken from

the bag is orange?

2. The School keeps its balls in boxes. Each box

has 10 tennis balls, 4 footballs and 6 basketballs.

Mrs Jones asks Tina to fetch a ball. What is the

chance Tina will bring a football?

Page 130: Year 6 Maths Worksheets

130

Ratio and Probability 7

Match the probability of an event occurring on the line,

when rolling an ordinary 1-6 die.

0 0·5 1

evens

Match the probability of an event occurring on the line,

when choosing one of these cards without looking.

0·1 0·2 0·3 0·4 0·5 0·6 0·7 0·8 0·9

evens

A die will roll

an even number. A die will roll a

six A die roll a

zero.

A die roll a

number.

A die roll a one

or two. A die will not

roll a 4.

A die will roll a

seven

A die will roll a

number greater

than three.

A 6 will be

picked. A number from 5

to 9 will be

picked An odd number

will be picked

A 2 or 3 will be

picked.

A ten will be

picked. A 6,7, or 8 will be

picked.

A 2 will not be

picked.

A number above 3

will be picked.

0 1 2 3 4 5 6 7 8 9

certain impossible

impossible certain

1 0

Page 131: Year 6 Maths Worksheets

131

Handling Data 1

A. Calculate the mode (the most frequent) of these

numbers.

1. 1, 1, 1, 2, 3

2. 20, 21, 22, 22, 23, 24

3. 100, 101, 102, 100, 103

4. 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 7

5. 2, 8, 4, 7, 8, 4, 3, 2, 1, 7, 8

6. 5, 6, 5 7, 5, 6, 7, 6, 5, 7

B. Calculate the range (the difference between the

highest and lowest) of these numbers.

1. 6, 3, 9, 8, 5

2. 21, 24, 15, 7, 8, 10

3. 3, 3, 7, 7, 8, 9, 10

4. 44, 36, 24, 55, 33

5. 135, 295, 340, 75, 455, 165

6. 66, 44, 22, 55, 77, 44, 55

7. 202, 203, 204, 206, 207

1

9-3=6

Page 132: Year 6 Maths Worksheets

132

Handling Data 2

A. Find the median (middle) number from an odd

numbered list.

Order them first from smallest to largest.

1. 5, 4, 8, 3, 4, 7, 6

2. 7, 8, 2, 5, 9, 1, 6

3. 2, 5, 9, 7, 1, 7, 8

4. 2, 14, 6, 11, 8, 12, 15

5. 24, 67, 35

6. 9, 0, 2, 5, 0, 4, 0

B. Find the median number from an even numbered

(halfway between the middle two numbers)

1. 12, 14, 18, 20

2. 1, 2, 6, 6, 4, 8

3. 14, 16, 12, 22

4. 1, 1, 3, 5, 9, 11

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

6. 34, 44, 56, 68, 73, 89

3,4,4,5,6,7,8 = 5

14 + 18 = 32 ÷ 2 = 16

list.

Page 133: Year 6 Maths Worksheets

133

Handling Data 3

A. Find the mean (sum of all the numbers divided by

the number of items) number.

1. 6, 4, 9, 7, 8, 2

2. 7, 8, 2, 3, 9, 1

3. 2, 5, 3, 7, 1, 1, 9

4. 20, 14, 6, 11, 8, 1

5. 6, 6, 2, 4, 7, 3, 7

6. 99, 66, 33

7. 4, 0, 2, 3, 0, 4, 1

B. Find the mean of these prices.

1. £1·20, £1·40, £1·90

2. 10p, 22p, 64p, 4p

3. £1·50, £2·40, £1·80

4. £230, £256, £114

5. £2·24, £4·35, £3·01

6. 17p, 11p, 19p, 13p

6+4+9+7+8+2 = 36÷6=6

£1·20 + £1·40 + £1·90 = £4·50 ÷3 = £1·50

Page 134: Year 6 Maths Worksheets

134

Handling Data 4

Here are the results for class B’s History test.

Number

of Marks 1 2 3 4 5 6 7 8 Number

of

Children

2 1 3 6 10 4 4 2

Draw a bar chart of the results of class B’s History Test.

12

10

8

6

4

2

0 1 2 3 4

5 6 7 8

Score in History Test

Use the bar chart to answer these questions.

1. How many children took the History test?

2. What is the mode score?

3. What does the shortest bar tell you ?

Number

of children

Page 135: Year 6 Maths Worksheets

135

Handling Data 5

Sarah collects data about vehicles going past her school.

She draws a table and bar chart showing her results.

Vehicles 16

14

12

10

8

6

4

2

0 Lorry Bike Car Motorbike Bus Type of Vehicles

1. Write in four pieces of information missing from the

table.

Type of Vehicle Number of Vehicles

Lorry

Bike 0

Car

4

2

2. Which is the mode vehicle?

3. How many vehicles did Sarah record?

Number

Of

Vehicles

Page 136: Year 6 Maths Worksheets

136

Handling Data 6

Here is a line graph to show the level of water in a

paddling pool.

10 20 30 40 50 60 70

Time in minutes

Use the graph to answer these questions.

1. What was the highest level of water in the pool?

2. Estimate how long the water was over 10cm?

3. After 40 minutes the children left the pool.

How long were they out of the pool for?

4. If the pool started filling at 2pm.

What time was it completely empty again?

2

4

6

8

10

0 ×

× ×

×

80

×

12

Level of water (cm)

× ×

×

14

Page 137: Year 6 Maths Worksheets

137

Handling Data 7

1. Estimate how many children at each school walk to

school.

a.

b.

2. Do more children travel by bus to Star Primary

School or Valley Junior School?

Give a reason for your answer.

______________________________________________

______________________________________________

______________________________________________

Transport to Valley Junior School

bus

bike

walkcar

Transport to Star Primary

bus

bike

walk

car

200 pupils

360 pupils

At Valley Junior pupils walk

At Star Primary pupils walk

Page 138: Year 6 Maths Worksheets

138

Handling Data 8

Look at the pie charts and answer the questions

1. Estimate how many children in class G like apples.

2. Estimate how many children in class G like bananas

3. Estimate the the total number of children who like

apples and grapes.

4. Estimate the difference between the number of

children who like apples and strawberries.

Class G's Favourite Fruit

apple

grapes

strawberry

banana

36 pupils

Page 139: Year 6 Maths Worksheets

139

Handling Data 9

Here is a line graph for the 4 times table.

1 2 3 4 5 6 7 8 9 10 11 12

Use the graph to answer these questions.

a. 3·5 × 4 = b. 8 × 4 =

c. 2½ × 4 = d. 7·5 × 4 =

e. 12 × 4 = f. 5½ × 4 =

g. 11·5 × 4 = h. 6·5 × 4 =

16

32

8

24

0

0

14

40

48

×

×

×

×

×

×

×

4

12

20

28

36

44

×

×

×

×

×

Page 140: Year 6 Maths Worksheets

140

Handling Data 10

Mark in the missing parts of this line graph for the 6

times table.

1 2 3 4 5 6 7 8 9 10 11

Use the graph to answer these questions.

a. 2·5 × 6 = b. 39 ÷ 6 =

c. 8½ × 6 = d. 4·5 × 6 =

e. 45 ÷ 6 = f. 10½ × 6 =

g. 1·5 × 6 = h. 6·5 × 6 =

15

0 12

6

12

×

×

Page 141: Year 6 Maths Worksheets

141

Handling Data 11

Draw a line graph for the 8 times table.

Use the graph to answer these questions.

a. 1·5 × 8 = b. 44 ÷ 8 =

c. 7½ × 8 = d. 9·5 × 8 =

e. 92 ÷ 8 = f. 12½ × 8 =

g. 5·5 × 8 = h. 96 ÷ 8 =

Page 142: Year 6 Maths Worksheets

142

Handling Data 12

Here is a time and distance graph for a car journey from

Newton to Farl and back again.

10 20 30 40 50 60 70

Time in minutes

Use the graph to answer these questions.

1. How far was the car from Farl after 15 minutes?

2. How far was the car from Farl after 55 minutes?

3. How long did the car stay in Newton?

4. How far was the car from Farl after an hour?

5. How long did the car take to arrive back in Farl?

10

20

30

40

50

0

Distance from Farl

in kilometres

×

× ×

× 80

× ×

60

70

Page 143: Year 6 Maths Worksheets

143

Handling Data 13

Draw a time and distance graph for a bus journey from

Jute to Saxon and back again.

Time in minutes Distance from Jute in Kilometres

0 0

15 15

20 20

30 30

35 30

45 20

65 0

10 20 30 40 50 60 70

Time in minutes

Use the graph to answer these questions.

1. How far was the bus from Jute after 20 minutes?

2. How far was the bus from Jute after 34 minutes?

3. How far was the bus from Jute after 55 minutes?

4. How far was the bus from Jute after 1 minute?

10

20

30

40

50

0

Distance from Jute

in kilometres

80

60

70

Page 144: Year 6 Maths Worksheets

144

Handling Data 14

This graph converts between gallons and litres.

2 4 6 8 10 12 14 16 18 20 22 24 26 28 30

Gallons

Convert these to litres.

1. 9 gallons 2. 18 gallons

3. 11 gallons 4. 29 gallons

Convert these to gallons.

5. 40 litres 6. 90 litres

7. 140 litres 8. 70 litres

Complete this table of values.

Gallons Litres(l)

0 0

2 9

4

6

8

10

Litres (l)

20

40

60

80

100

120

32

0

140

32

Page 145: Year 6 Maths Worksheets

145

Shape 1

E

A D

B C

Answer these questions about the shape above.

1. Name 2 parallel edges.

2. Name 2 perpendicular edges.

3. Edge DE is parallel to edge

4. Edge AB is perpendicular to edges

G. H.

Answer these questions about the shapes above.

5. How many pairs of parallel faces does shape G.

have?

6. What is the total number of edges on the shapes.

G. H.

D

F

G

AB and

Page 146: Year 6 Maths Worksheets

146

Shape 2

Tick the shapes which are nets of a closed cube.

1. 2.

3. 4.

5. 6.

7. 8.

×

Page 147: Year 6 Maths Worksheets

147

Shape 3

A parallelogram has its opposite sides equal and parallel.

Draw 4 different parallelograms using the grid below.

.

A rhombus is a parallelogram which has equal sides.

Draw 4 different rhombi using the grid below.

Page 148: Year 6 Maths Worksheets

148

Shape 4

A trapezium has one pair of opposite parallel sides

Draw 4 different trapezia using the grid below.

. A kite has two pairs of adjacent sides of equal length.

Draw 4 different kites using the dots below.

Page 149: Year 6 Maths Worksheets

149

Shape 5

Look at these quadrilaterals. Draw in the diagonals; tick

the shape if the diagonals intersect at right angles.

Write the name of each shape.

Page 150: Year 6 Maths Worksheets

150

Shape 6

1. Look at these shapes and put the right letter in the

statements below.

a b c d e

1. Which shape has reflective symmetry?

2. Which shape has 2 pairs of parallel lines?

3. Which shape is an irregular hexagon?

4. Which shape has angles adding up to 180º?

5. Which shape is an irregular pentagon?

6. Draw a reflection of the shapes in the mirror line.

Mirror line

Page 151: Year 6 Maths Worksheets

151

Shape 7

1. Draw a reflection of the shapes in the mirror line

2. Shade in two more squares to make the design

symmetrical about the mirror line.

Mirror line

Mirror line

Page 152: Year 6 Maths Worksheets

152

Shape 8

A B

D

C

List the vertices and co-ordinates of the rectangle above.

A (-4, 2) B( , ) C( , ) D( , )

Plot and join these points up in order on the graph below.

A (-5, 2) B( 5, 3 ) C( 2, -2) D( -5, -2)

0

-3

-2

1 2 3 4 5 6 7 8

-

1

0 -1 -2 -3 -4 -5 -6 -7 -8

-1

1

2

3

5

4

8 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 -8

-1

-2

2

3

4

5

6

-4

1

Page 153: Year 6 Maths Worksheets

153

Shape 9

A

Plot these points on the grid to make shape B.

( 6, 3) (10, 3) (10, 5) (6, 5)

Shape A has been translated ___to the right, then ___up.

C

Plot these points on the grid to make shape D.

( 3, 1) (7, 1) (5, 5)

Shape C has been translated __ places to the left, then

___down.

1

2

3

4

5

6

0 11 12 13 14 15 10 9 8 7 6 5 4 3 2 1

1 1

2

3

4

5

6

0 11 12 13 14 15 10 9 8 7 6 5 4 3 2 1

Page 154: Year 6 Maths Worksheets

154

Shape 10

Look at the pairs of congruent right angle triangles.

. . . . . . . . . . . . . . . .

.A . . . . . B . . . . . . . . .

. . . . . . . . . . . . . . . .

. . . . . . . . . . . . . .C . .

. . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . .

. .D . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . .

. . . . . . . . .E . . . . . . .

. . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . .F .

. . . . . . . . . . . . . . . .

Name the shape in each overlap of two congruent

right-angled triangles. Write in which of the

arrangements a triangle is translated and or rotated.

A square, rotated and translated B

C

E

D

F

Page 155: Year 6 Maths Worksheets

155

A

B

C

A C

B

Shape 11

Rotate the triangles ABC through 90º about the vertex A.

Repeat the rotations 3 more times.

Write the co-ordinates of C for each rotation.

( , ) ( , ) ( , )

Write the co-ordinates of B for each rotation.

( , ) ( , ) ( , )

-3

-2

1 2 3 4 5 6 7 8 0 -1 -2 -3 -4 -5 -6 -7 -8

-1

1

2

3

4

-4

-3

-2

1 2 3 4 5 6 7 8 0 -1 -2 -3 -4 -5 -6 -7 -8

-1

1

2

3

4

-4

Page 156: Year 6 Maths Worksheets

156

Shape 12

Measure and record the marked angles.

1. 2.

3. 4.

Measure and add the angles for each triangle.

5. 6.

+ + = + + =

a

b

c

d

Page 157: Year 6 Maths Worksheets

157

Shape 13

Write these angles in the correct column in the chart

below.

1. 27º 2. 89º 3. 105º 4. 270º

5. 180º 6. 90º 7. 310º 8. 145º

9. 11º 10. 190º 11. 125º 12. 256º

acute right obtuse straight reflex

270º

Draw and label angles of these sizes.

13. 90º 14. 108º

15. 43º 16. 157º

Right angle

Page 158: Year 6 Maths Worksheets

158

Shape 14

Calculate the size of each missing angle.

1. 2.

44º

3. 4.

78º 131º

5. 6.

222º 162º

90º

270º

Page 159: Year 6 Maths Worksheets

159

Shape 15

Measure and record the sizes of angles ABC

1.

B

A C

Measure, then check by working out, the marked angles

on these triangles.

2. 3.

A

B

C

D

D

E

F

E

F

G

H

I

G H I

Page 160: Year 6 Maths Worksheets

160

3m

12 cm

3m

5m

Shape 16

Use the formula Perimeter = 2 × (length + breadth) to

work out the perimeter of the rectangles below.

1. 7cm 2. 16 cm

5cm

3. 23cm 4. 19 cm

28cm

These shapes are made by overlapping congruent squares

or rectangles. Work out the perimeter of each green

shape.

6. 6m 7. 2.5m

2m

2.5m

2 × (7+5) cm 2 × 12cm

= 24 cm

4 cm

4m

4m

5m

5m

5m

Page 161: Year 6 Maths Worksheets

161

7cm

cmm

m

39cm

mmm 3cmmm

Shape 17

Find the area of each of the shaded shapes in cm²

Work out the area of these shapes. Multiply the length

by breadth.

D. E.

21cm 28cm

F.

9cmmm

A B

C

A. B. C.

D. 21 × 7 = cm²

E.

39cm

F.

Page 162: Year 6 Maths Worksheets

162

21cm

4cm

10cm

30cm

20cm

5cm

9cm

8cm

15cm

11cm 9cm 5cm

3cm 3cm

4cm

3cm

10cm 4cm

Shape 18

Work out the area of these shapes. Add or subtract the

area of separate rectangles.

1. 2.

3. 4.

(10cm × 17cm) + (4cm × 5cm)

= 170cm² + 20cm² = cm²

(20cm × 30cm) - (9cm × 8cm)

= 600cm² - 72cm² = cm²

4cm

3cm

Page 163: Year 6 Maths Worksheets

163

25cm

6cm

15cm

17cm

11cm

5cm

5cm

20cm

15cm 16cm

7cm

5cm

5cm

26cm

Shape 19

Work out the area of these shapes.

1. 2.

Work out the shaded area of these shapes.

3. 4.

5cm

4cm

20cm

m

6cm

Page 164: Year 6 Maths Worksheets

164

4cm

cmm

m

Shape 20

Find the area of each of the shaded right angle triangles

in cm². Multiply the length and breadth then divide by 2.

Work out the area of these triangles.

E. F.

10 cm 8cm

15cm

A

B

C

A. (4×3) ÷ 2 = 6cm²

E

F

D

B.

C. D.

Page 165: Year 6 Maths Worksheets

165

Shape 21

Find the area of each of the shaded pentagons in cm².

Draw lines to divide the pentagons into rectangles and

triangles.

Draw two different right angled triangles with an area of

12cm².

A B

A B

Page 166: Year 6 Maths Worksheets

166

Shape 22

Here is a rectangular block. (not drawn to scale)

5 5cm

40cm

1.

How many blocks can fit into shape A? blocks

A 40 cm

55cm

What is the area of shape A in cm²

cm²

2.

How many blocks can fit into shape B?

B

120 cm

What is the area of shape B in cm² cm²

25cm

Page 167: Year 6 Maths Worksheets

167

Time 1

Look at the timetables and answer the questions below.

1. Swimming lessons

Group Start time Finish time

Beginners 15:40 16:05

Intermediate 16:05 16:35

Advanced 16:35 17:10

a. How long is the advanced swimming lesson?

b. How long is it from the start of the beginners lesson

to the end of the advanced lesson?

c. If the swimming teacher needs 20 minutes to sort

out the swimming pool after the lessons have

finished. Her journey home takes 15 minutes. What

time does the swimming teacher arrive home?

2. Film Times

Film Screen 1 Screen 2 Mr and Mrs Jones 13:30 17:15 The Monsters 15:45 13:55

Space Adventure 17:20 15:30

a. James finishes school at 15:30 and takes 30 minutes

to travel to the cinema. Which film can he not

watch at the cinema?

b. How long is “Mr and Mrs Jones”?

Page 168: Year 6 Maths Worksheets

168

Time 2

1. Here is a clock.

How many minutes until this clock shows 5:25?

2. Here is another clock.

What time did the clock show 45 minutes ago?

3. One of the clocks below is 12 minutes fast.

The other is 6 minutes slow.

What is the correct time?

______ minutes

21:26

20:02

Page 169: Year 6 Maths Worksheets

169

?

Time 3

The sign shows the opening times for the cake shop.

Answer the questions about shop opening times.

1. How long was the shop open on Thursday

afternoon?

2. How long was the shop shut for lunch on Monday

3. How long is is the shop closed from Sunday to

Monday?

4. Is the shop open longer on Saturday or on

weekdays?

5. How many hours a week is the shop open?

Morning Afternoon

Monday – Friday 9:00 – 12.30 14:00 – 16:00

Saturday 8:30 – 13.00 14:00 – 18:30

Sunday 10:00 – 13.00

Page 170: Year 6 Maths Worksheets

170

Time 4

Answer these time questions.

1. Sue goes to the cinema to watch a film at 16:25.

The film is 2 hours 40 minutes long. She has a 15

minute walk home from the cinema. Will she be

home from the cinema by 7:00 pm?

2. Here are the instructions for cooking a fruit cake.

Cook for 25 minutes per 250 g plus 30 minutes.

If the cake mix weighs 750g.

How long will the cake take to cook?

3. Here is a clock

a. How many minutes until this clock shows 4:05?

b. What time did the clock show 50 minutes ago?

Show your working here.

Show your working here.

Page 171: Year 6 Maths Worksheets

171

Time 5

Answer the questions about world time.

1. It is 12 noon in London. In which city is the time 7pm?

2. It is 12 noon in London. In which city is the time 9am?

3. It is 12 noon in London. In which city is the time 4am?

4. What is the time difference between New York and

Sidney?

5. What is the time difference between Cape Town and

Perth?

-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3+4 +5 +6 +7+8 +9+10+11+12

Time Zones Key

B Bangkok C Cape Town L London

LA Los Angeles NY New York R Rio de Janeiro

T Tokyo P Perth S Sidney

L

. LA

. NY

R . C

. B

. P

. S

. T

Bangkok

.

Page 172: Year 6 Maths Worksheets

172

Measuring 1

Convert these units of length.

1. 0·167km into metres.

2. 0·57km into metres.

3. 1·289km into metres.

4. 7823m into kilometres.

5. 5834m into kilometres.

6. 56mm into centimetres.

7. 23mm into centimetres.

8. 1·6m into centimetres.

9. 2·7m into centimetres.

10. 8·5m into kilometres.

11. 1·95m into millimetres.

12. 3·38m into millimetres.

13. 0·456m into millimetres.

14. 64cm into kilometres.

15. 894cm into kilometres.

Page 173: Year 6 Maths Worksheets

173

Measuring 2

Use the conversion table to find these equivalent

distances.

a. 8 km = b. 16km =

c. 20 km = d. 30km =

Find the equivalent distance.

e. 17 miles = f. 24 miles =

g. 15 miles = h. 3 miles =

10 15 20

16

32

5

8

24

0

0

miles

kilometers

a

5 miles

c

b

d

27 km

40

36

44

Page 174: Year 6 Maths Worksheets

174

Measuring 3

Answer these length problems.

1. Jane is 97cm tall Paul is 1·29m tall What is the difference between their heights

in metres?

2. A family journey includes a 30·8km car drive

followed by a 10·7km bike ride then a 600m walk.

How far do they travel?

3. A snail travelled 456mm in 10 minutes, a tortoise

travelled 6 times as far. Find the length of the

tortoise’s journey in centimetre.

4. How many 65cm pieces of string can be cut from a

20 metre ball of string?

5. How much string will be left over in the previous

question?

6. A ladder is 5m high,the rungs are at 30cm

intervals. Sally climbs up 9 rungs.

What is her height from the ground?

7. How far has Sally still to climb to reach the top of

the ladder?

Page 175: Year 6 Maths Worksheets

175

Measuring 4

A B C D

Write the weight of each parcel as kilograms and grams

then as grams only.

A B

C D

Write the number of grams represented by the digit 6 in

each of the parcels.

A B

C D

Round each weight to the nearest tenth of a kilogram.

A B

C D

Find the difference in weight between parcels:

A and C B and D

7·346

kg 4·869 kg

6·088 kg 5·613 kg

7 kg 346g = g

6 grams

7·3kg

Page 176: Year 6 Maths Worksheets

176

Measuring 5

1 pound (lb) = 16 ounces 1 pound = 454grams

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

Use the conversion table to work out these answers.

Round the figures to the nearest ounce or 10 grams.

a. 7 oz = b. 1 lb =

c. 10 oz = d. 4 oz =

e. 100g = f. 150g =

g. 500g = h. 325g =

200

400

100

300

0

0

ounces

grams

g g

g g

oz oz

oz oz

500

600

700

Page 177: Year 6 Maths Worksheets

177

Measuring 6

The librarian is moving books to a new shelf.

She has: 30 encyclopaedias weighing 700g each.

42 paperbacks weighing 120g each.

11 hard backs weighing 230g each.

10 hard backs weighing 190g each.

17 hard backs weighing 350g each.

If she can only carry 5kg at a time, work out these

problems you can use a calculator but show your

working.

1. How many journeys must she make with the

encyclopaedias?

2. How many paperbacks can she carry at a time?

3. What is the total weight of all the hardback books?

4. She has a rest when she has moved 30kg of books.

How many more journeys must she make?

Page 178: Year 6 Maths Worksheets

178

Measuring 7

A cubic metre of water weighs 1 Tonne.

1 Tonne = 1000kg.

1. How many tonnes of water are in a in a tank

2 metres by 2 metres by 2 metres?

2. How many tonnes of water are in a tank 6 metres by

2 metres by 2 metres?

3. How many tonnes of water are in a swimming pool

10 metres by 5 metres by 1 metre?

4. How many cubic kg of water are in a tank 4 metres

by 2 metres by 1 metre?

5. How many cubic kg of water are in a pool

measuring 6 metres by 8 metres by 2 metres?

1 Tonne

2m × 2m × 2m = 8m³ = 8 tonnes

Page 179: Year 6 Maths Worksheets

179

Money 1

To convert pounds (£) into other currencies, multiply the

number of pounds by the exchange rate.

Example

250·0

Australia ($) rate = 1·6 × 1·6

Change £250 = 250 × 1·6 = 150·0

+ 250·0

Answer $400 400·0

1. India (rupees) rate = 65

Change £370

Answer ____________ rupees

2. Japan (yen) rate = 150·2

Change £100

Answer_____________yen

3. France (euro) rate = 1·19

Change £300

Answer______________euro

4. Switzerland (franc) rate = 2·55

Change £150

Answer______________franc

5. USA($) 1·38

Change £450

Answer $______________

Page 180: Year 6 Maths Worksheets

180

Money 2

To convert pounds (£) into other currencies, multiply the

number of pounds by the exchange rate.

You can use a calculator to help you.

Give answers to the nearest whole unit of currency.

1. Italy (euro) rate = 1·19

Change £487

Answer ____________ euros

2. USA ($) rate = 1·38

Change £634

Answer $_____________

3. Malaysia (ringgit) rate = 5·79

Change £935

Answer______________ringgit

4. Mexico (peso) rate = 12·92

Change £784

Answer______________peso

5. Norway (krone) rate 13·46

Change £104

Answer ______________krone

6. Canada($) rate 2·27

Change £209

Answer $_______________

Page 181: Year 6 Maths Worksheets

181

Money 3

Above are the tourist exchange rates for six countries at

different times of the year.

Work out if the exchange rate has increased ( ) or

decreased ( ) between April and September.

Work out the difference between exchanging £100 in

May or July. Write how much it has increased ( ) or( )

decreased.

Decide when the better time to travel to each country

would be based on this information.

Fill in the table below.

Country Exchange rate

May

Exchange rate

July

or Difference between

changing £100 in May or

July

Best time

to travel

Australia 1 1·69 1 1·791 0·10 1 $10 1 May 1

1

Tourist Rate (May) Tourist Rate (July)

Japan (yen) 157·78 Japan (yen) 157·77

India (rupees) 50·34

India (rupees) 51·26

Denmark (Krone) 12·67

Denmark (Krone) 12·90

Australia ($) 1·69

Australia ($) 1·79

South Africa (rand) 10·36

157.78

South Africa (rand) 11·02

157.78 Thailand (baht) 54·01 Thailand (baht) 53·78

Page 182: Year 6 Maths Worksheets

182

Money 4

Above are the tourist exchange rates for six countries.

To convert other currencies into pounds, divide the

amount by the exchange rate.

Work out the cost in English pounds of the items below.

Round each currency rate to the nearest whole number.

1. Mexico 45 peso

2. Israel 144 shekel

3. Norway 132 krone

4. Canada $ 93

5. Hong Kong $152

6. Switzerland 14 francs

7. Mexico 100 peso

8, Canada $ 122

Tourist Rate

Mexico (peso) 14·29

Israel (shekel) 6·87

Hong Kong ($) 12·03

Canada ($) 2·65

Norway (krone) 13·46

Switzerland (franc) 2·55

45 ÷ 14 = £3·00

Page 183: Year 6 Maths Worksheets

183

Money 5

Use the information on the hotel price list to answer the

questions.

1. What is the difference in price between a week in a

double room and a week in a Suite?

2. How much would it cost to stay in a double room

for 3 nights?

3. What is the difference in price between staying in a

single room for 4 days or for a week?

4. Work out the cost per night for a week in a suite?

5. Half board (breakfast and dinner) costs 25% of the

cost per night for a single room.

How much does half board cost?

The Grand Hotel

Prices per night week

Double £126 £540

Single £ 74 £336

Suite £168 £931

Page 184: Year 6 Maths Worksheets

184

Money 6

Answer these money questions.

1. Sandra saves 5p coins she saves 105 of them.

How much money has Sandra saved?

2. John has saved £8·80 in 20p coins.

How many coins has he saved?

3. James works 36 hours every week.

James is paid £7·25 for every hour.

You can use a calculator to answer these questions.

a. How much does James get paid every week?

James has earned over £900 so far this year.

b. What is the fewest number of hours he has

worked to earn £900?

Page 185: Year 6 Maths Worksheets

185

Number Problems 1

Answer these number problems.

1. Fill in the numbers 1-20 in this Venn diagram.

factors of 18 multiples of 3

2. Fill in the numbers below in this Venn diagram.

12 4 25 11 9 16 49 36 5 7

square numbers odd numbers

3. Fill in the numbers 1-30 in this Venn diagram.

square numbers multiples of 2

Page 186: Year 6 Maths Worksheets

186

Number Problems 2

Fill in the missing numbers on these addition magic

squares.

1. 2.

Total = Total =

These magic squares are made by multiplying instead of

adding. When the numbers on any side or diagonal are

multiplied they make the same total.

Fill in the missing numbers.

3. 4.

Total = Total = 5. 6.

Total = Total =

36

16

48

3

32

4

16

8

64

12

23

28

27

21

17

71

47

59

5

24

28

2

12

3

6

1

14

4

7

Page 187: Year 6 Maths Worksheets

187

Number Problems 3

Fill in the missing numbers on these multiplication

pyramids.

1. 2.

3. 4.

5 6.

92610

126

21

3

735

6

35

7

2

5

6

5

2

4

5

8

9

3

7

6

3

5

6

5

4

2

6

3

9

2

Page 188: Year 6 Maths Worksheets

188

Number Problems 4

Fill in the missing numbers in these number sentences.

1. 24 ÷ × 2 × 2 = 12

2. (25 - ) ×3 × 4 = 120

3. 8 × + (5 × 2) = 26

4. 40 ÷ + 6 + 2 = 16

5. (7 × 6) - = 31

6. 54 ÷ ( × 9) × 8 = 24

7. (15 × 3) - = 28

8. ( ÷ 3) + (4 × 8) = 65

Use these symbols to make the number sentences below

true. + - × ÷ ( )

9. 30 6 7 3 = 36

10. 8 3 5 7 = 26

11. (27 9) (7 4) = 31

12. 7 5 6 = 72

13. 9 5 ( 4 3) = 33

14. (12 6) 7 6 = 8

Page 189: Year 6 Maths Worksheets

189

Number Problems 5

Work out the answers to these problems. 1. A box of pens holds 64 pens.

a. A school needs 230 pens.

How many boxes must they buy?

b. A shop has 12 boxes of pens.

How many pens is that altogether?

2. In the bookshop sale hardback books cost £7·55

and paperback books cost £4·82.

a. Steven bought a hardback and 3 paperback

books. How much did he spend?

b. Beth bought two hardback books. She paid

with a £20 note. How much change did she get?

c. Mary bought 10 hardback books and was given

a discount of 10%. How much did she pay?

Page 190: Year 6 Maths Worksheets

190

Number Problems 6

Work out the answers to these problems. 1. A bag of marbles holds 94 marbles.

They come in boxes of ten bags.

a. How many marbles are in a box?

b. If I have 18 800 marbles.

How many boxes do I have?

c. If I buy 100 boxes.

How many marbles do I have?

2. Cakes are sold in packs of eight. The packs

come in boxes. Each box contains 20 packs.

a. How many cakes does a box hold?

b. If a shop has 5 boxes, how many packs do they

have?

c. If a pack costs 87p, how much does a box cost?

Page 191: Year 6 Maths Worksheets

191

Number Problems 7

Work out the answers to these problems. 1. A bottle of mineral water holds 360 ml.

In a week Jack drinks 10·08 litres of mineral

water.

a. How many bottles does Jack drink in a week?

b. If a bottle of mineral water costs 55p. How

much does Jack spend on water in a week?

c. If I buy 6 bottles of water a day.

How many bottles do I buy in two weeks?

2. Lollies are sold in packs of twelve.

a. A pack costs £2·04. How much does each

lolly cost?

b. If Sam buys 10 packs of lollies. How much will

that cost?

c. If Joe buys 4 lollies. How much does he spend?

Page 192: Year 6 Maths Worksheets

192

Number Problems 8

Work out the answers to these problems. 1. A mechanic charges £36 per hour.

Car parts cost £48·75.

a. The mechanic gives an estimate of £300·75 to fix

a car. How many hours does he think he will

spend fixing the car?

b. One week he earns £1260 for his work. How

many hours did he work?

c. If the mechanic works for 21 hours and uses

£246 of car parts. How much will it cost?

2. The teacher is sorting out the sports equipment.

The cupboard contains 1200 balls.

a. 25% of the balls are soft foam.

How many balls is that?

b. If 42% of the balls are large. How many is that?

Page 193: Year 6 Maths Worksheets

193

Number Problems 9

Work out the answers to these problems. 1. Buns come in packs of 4 or 8. A pack of 4 costs

65p, a pack of 8 costs £1·12.

a. A group of 4 children bought a pack of 8 and

shared them. How much did they each pay?

b. Terry buys 2 packs of 4 buns and Simon buys 1

pack of 8 buns. How much more does Terry pay?

c. Star Playgroup buys 10 packs of 8 buns.

How much do they pay?

2. a. Mrs Jones buys 4 pears. She pays with a £5 note.

She gets £3·20 change. How much is one pear?

b. Ralph buys 10 pears. How much do they cost?

c. I have £2·70. How many pears can I buy?

Page 194: Year 6 Maths Worksheets

194

Number Problems 10

1. Joy lives 145 metres from the post office.

If she travelled 870 metres travelling to and from

the post office.

How many times did she visit the post office?

2. Five children time themselves in a skipping race.

Name Paul Tariq Sofia Glen Jade

Time in

seconds

25·8 22·4 21·7 26·4 23·2

a. Who finished the race first?

b. How many seconds faster was Tariq than Glen?

Show your working.

Page 195: Year 6 Maths Worksheets

195

Number Problems 11

1. Philip describes a number.

“The number I am thinking of is an odd number.

It is a multiple of 9, is less than 50 and contains

consecutive numbers.”

2. Jayne describes a number.

“The number I am thinking of is a square number.

It is a multiple of 12. It is less than 80.”

3. Tom describes a number.

“The number I am thinking of is a multiple of 8.

It is more than 40 and less than 90. It contains

consecutive numbers.”

4. Winnie describes a number.

“The number is an odd number. It is more than 40

but less than 60. It is a multiple of 7.”

Page 196: Year 6 Maths Worksheets

196

Number Problems 12

Answer these number problems

1. a. Write the prime numbers in the following list.

5 7 4 10 21 15 11 23 13

b. Use two of the prime numbers to complete the

following calculation.

+ = = 20

2. a. Write the square numbers in the following list.

4 8 9 10 12 15 16 18 25

b. Use two of the square numbers to complete the

following calculation.

- = = 7

Page 197: Year 6 Maths Worksheets

197

Number Problems 13

Answer these number problems

1. a. Write the factors of 64 in the following list.

64 9 2 12 4 1 21 16 8 23 32

b. Use two of the factors of 64 to complete the

following calculation.

× = =

2. a. Write the factors of 360 in the following list.

1 2 3 4 5 6 7 8 9 10 12 15

18 20 22 24 25 30 35 36 40 45 60

72 90 120 144 150 180 360

b. Use two of the factors of 360 to complete the

following calculation.

- = = 78

16

Page 198: Year 6 Maths Worksheets

198

Number Problems 14

Here is a thermometer.

1.

a. At 3 pm the temperature is 8ºC.

At 9pm the temperature is 15 degrees lower.

What is the temperature at 9 pm?

b. At 2 am the temperature is - 14ºC.

At 10am the temperature is 17º higher.

What is the temperature at 10 am?

2. Class 6 has been recording the temperature at 9 am

for 5 days.

Here are their results.

Monday Tuesday Wednesday Thursday Friday

-2ºC - 5ºC 2ºC - 6ºC -4ºC

a. What is the mean temperature for that week?

b. What is the temperature range for that week?

____________________________________________________________________

- 20 -15 -10 -5 0 5 10 15 20 25 30 35

ºC

ºC

ºC

ºC

Page 199: Year 6 Maths Worksheets

199

Number Problems 15

Use the numbers 1-9 to make these statements correct.

For each number sentence a different letter indicates a

different number.

1. a + a + a = 12 a =

2. b × b × b = 1 b =

3. c + c + c + c = 20 c =

4. 4 × d = 28 d =

5. e + e + e = 45 e =

6. g × g × g = 8 g =

7. 30 - h - h - h = 12 h =

8. i + i + i = j + j i = j =

9. k + k + k = 96 k =

10. l × l × l = 27 l =

11. m × m = 72 – m m =

12. n + n + n + n = 56 n =

13. o × o + o = 42 o =

14. p × 2 = 34 p =

4

Page 200: Year 6 Maths Worksheets

200

Number Problems 16

Use the numbers 1-9 to make these statements correct.

For each number sentence a letter indicates a number.

1. 4a = 12 a =

2. 9b = 18 b =

3. 3c + 2 =14 c =

4. d + 5 = 12 d =

5. 7e = 35 e =

6. 2f + 6 = 3f + 3 f =

7. 2g– 9 = g – 3 g =

8. 2h + 2 = h +11 h =

Use different numbers between 1 and 9 for each letter in

these equations. You may find more than one answer.

9. 2j + k = 5 j= k= , j = k =

10. 3m – n = 5 m= n= , m= n=

11. p + 3r = 16 p= r =

12. 3s ÷ t = 2 s= t =

Page 201: Year 6 Maths Worksheets

201

Number Problems 17

Write whether the following statements are true or false.

Show your working.

1. (32 × 120) ˃ 4120

2. (1265 + 3987) ˂ 5346

3. (45 × 34) ˃ 1224

4. (12 × 349) ˃ 5502

5. (9435 - 3355) ˂ 7250

6. (4560 ÷ 30 ˃ 125

7. (3270 ÷ 12) ˂ 235

Page 202: Year 6 Maths Worksheets

202

Number Problems 18

Put the missing sign in these calculations.

Use

1. 125 5 = 25

2. 5 × 300 1600

3. 12 36 = 432

4. 35 55 = - 20

5. 950 50 = 19

6. 72 × 36 2592

7. 99 3 = 33

8. -49 29 = -20

9. 2480 ÷ 5 490

10. 1035 26 = 1061

11. 6 × 3 11 = 198

12. 5·5 0·25 = 22

13. 7·75 12·5 = -4·75

14. 2·5 1·5 = 3·75

+ - ÷ × ˂ ˃ =

Page 203: Year 6 Maths Worksheets

203

5·69

4·14

1·34

Year 6 Answers

Place, value and ordering 1 page 3

1. 800 2. 40 3. 7000 4. 600 5. 200000 6. 60000 7. 4000

8. 70000 9. Fifty seven thousand, eight hundred and twenty six

10. Forty six thousand, three hundred and ten

11. Three thousand, two hundred and ninety

12. Twenty five thousand, eight hundred and ninety one

13. 17120 14. 59206

Place, value and ordering 2 page 4

1. Eight hundredths 2. Seven tenths 3. Nine tenths 4. Four hundredths

5. Two thousandths 6. 5·09 5·95 7·73 9·45 9·55

7. 1·61 1·62 1·68 1·86 1·87 8. 0·53 2·05 2·35 2·53 20·15

9. 1·007 1·07 1·117 1·17 1·71

Place, value and ordering 3 page 5

1. 1·2 1·21 1·22 1·23 1·24 1·25 1·26 1·27 1·28 1·29 1·3 1·31 1·32 1·33

2. 5·55 5·56 5·57 5·58 5·59 5·60 5·61 5·62 5·63 5·64 5·65 5·66 5·67 5·68

3. 4·0 4·01 4·02 4·03 4·04 4·05 4·06 4·07 4·08 4.09 4·10 4·11 4·12 4·13

4. 1·35 1·351 1·352 1·353 1·354 1·355 1·356 1·357 1·358 1·359 1·360

1·361 1·362 1·363 1·364

5. 4·03 4·031 4·032 4·033 4·034 4·035 4·036 4·037 4·038 4·039 4·040

4·041 4·042 4·043 4·044

6. 2·890 2·891 2·892 2·893 2·894 2·895 2·896 2·897 2·898 2·899 2·900

2·901 2·902 2·903 2·904

Place, value and ordering 4 page 6

1. 4·13 3·009 2. 15·07 16·13 3. 23·21 23·01

4. 124·60 123·09 5. 0·002 0·1

6. 7. 8. 9. 377

10. 11.

12.

400

Ninety five thousand, eight hundred and two Ninety five thousand, six hundred and sixty- two

4000 4/10

0239 9320

Page 204: Year 6 Maths Worksheets

204

Place, value and ordering 5 page 7

1. £12245 £12425 £12634 £13967 £14900 £14908

2. £12·75 £12·50 £12·15 £12·02 £11·06 £11·05

3. 9·6kg 9·06kg 8·07kg 7·08kg 0·76kg 0·75kg

2.7 3.0 25 26 27 28 29 30 31

Place, value and ordering 6 page 8

1. 45900 2. 2360 3. 5600 4. 90460

5. 15800 6. 1400 7. 39000 8. 40300

9. 135000 10. 1000 11. 87000 12. 56000

13. 25 14. 16 15. 9 16. 11

17. 45 18. 24 19. 15 20. 1

Place, value and ordering 7 page 9

1. 67 460 2. 15 890 3. 62 130 4. 34 590 5. 47 600

6. 25 000 7. 12 900 8. 31 500 9. 83 300 10. 77 000

11. 20 000 12. 100 000 13. 289 000

Place, value and ordering 8 page 10

1. -4◦C 2. -5◦C 3. 10◦C 4. -9◦C 5. 10◦C 6. 13◦C

Place, value and ordering 9 page 11

1. -10 -7 -4 -2 4 8 2. -22 -14 -9 -3 0 2

3. -22 -13 -12 -5 15 20 4. -28 -19 -18 -9 -8 3

5. -2 6. -5 7. 8 8. -18 9. -19 10. 4

Place, value and ordering 10 page 12

A

1. 10 2. 10 3. 6 4. 11 5. 11 6. 15 7. 20 8. 3 9. 17 10. 9

B

1. -92 2. -170 3. -103 4. -79 5. 62 6. -171 7. -102 8. -22 9. -116 10. 296

Place, value and ordering 11 page 13

A

1. 16 2. 81 3. 49 4. 1 5. 144 6. 4

7. 25 8. 64 9. 100 10. 121 11. 36 12. 169

B

1. 22 2. 91 3. 155 4. 73 5. 20 6. 15

7. 112 8. 100 9. 72 10. 41 11. 119 12. 113

13. 32 14. 50 15. 88 16. 130

2·7 2·8 2·95 3·0 3·1 3·25 3·4

Page 205: Year 6 Maths Worksheets

205

Place, value and ordering 12 page 14

1. 118, 124, 130 The rule is add 6 2. 460, 465, 470 The rule is add 5

3. -44, -41, -38 The rule is subtract 3 4. -12, -24, -36 The rule is subtract 12

5. 75, 50, 25 The rule is subtract 25 6. 12, 36, 60 The rule is add 24

7. 63, 72, 81 The rule is add 9 8. -45, -65, -85 The rule is subtract 20

Place, value and ordering 13 page 15

1. The sum of odd numbers is odd. Examples include: 3 + 5 + 9 = 17

7+ 17 + 11 = 35 15 + 9 + 7 = 31

2. The sum of 2 even numbers is even. Examples include: 20 + 2 = 22

28 + 8 = 36 10 + 4 = 14

3. The sum of an odd number and and even number is odd. Exampes include:

20 + 7 = 27 3 + 2 = 5 28 + 11 = 39

4. The difference between two even numbers is even. Examples include:

20 – 2 =18 28 – 8 = 20 16 – 4 = 12

Place, value and ordering 14 page 16

1. The product of 3 odd numbers is odd. Examples include:

9 × 1 × 7 = 63 7 × 5 × 3 =105 3 × 11 × 7 = 231

2. The product of 2 even numbers is even. Examples include:

9 × 12 = 108 8 × 6 = 48 4 × 6 = 24

3. The product of 2 odd numbers is odd. Examples include:

9 × 7 = 63 11 × 7 = 77 5 × 5 = 15

4. The product of 1 even number and 1 odd number is even. Examples include:

2 × 9 = 18 12 × 7 = 84 10 × 5 = 50

Addition 1 page 17

1. 325 + 278 = 300 +200 = 500 2. 167 + 164 = 100 + 100 = 200

20 + 70 = 90 60 + 60 = 120

5+ 8 = 13 = 603 7 + 4 =11 = 331

3. 456 + 234 = 400 +200 = 600 4. 645 + 357 = 600 + 300 = 900

50 + 30 = 80 40 + 50 = 90

6+ 4 = 10 = 690 5 + 7 = 12 = 1002

5. 552 + 268 = 500 +200 = 700 6. 785 + 247 = 700 + 200 = 900

50 + 60 = 110 80 + 40 = 120

2+ 8 = 10 = 820 5 + 7 = 12 = 1032

7. 156 + 69 = 156 +70 = 156 + 70 8. 456 + 89 = 456 + 90 = 546

= 226 -1= 225 = 546 – 1 = 545

9. 433 + 102 = 433 + 100 = 10. 391 + 99 = 391 + 100

533 + 2 = 535 491 - 1= 490

Page 206: Year 6 Maths Worksheets

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Addition 2 page 18

1. 3568 2. 8501 3. 7494 4. 3464 5. 2784 6. 6891

+ 455 + 178 + 267 + 389 + 246 + 567

4023 8679 7761 3853 3030 7458 1 1 1 1 1 1 1 1 1 1 1 1

7. 2879 8. 8936 9. 3406 10. 8501 11. 7494 12. 3464

+ 352 + 957 + 3589 + 2673 +4761 + 3678

3231 9893 6995 11174 12255 7142 1 1 1 1 1 1 1 1 1 11 1 1 1

13. 7649 14. 6832 15. 9452 16. 3764 17. 1388 18. 8501

+ 8463 +6945 +7902 +7902 38 3490

16112 13777 17354 11666 239 594

1 1 1 1 1 1 1 1 + 2784 + 4891

4449 17476 1 2 2 2 2

19. 7494 20. 3464 21. 1449 22. 9502 23. 6491 24. 4462

96 2389 247 693 3479 593

2385 784 5937 8462 2845 6936

+ 3570 + 2754 +7461 + 794 + 6743 + 8931

13545 9381 15094 19451 19558 20922 1 3 1 2 2 2 2 1 2 2 2 1 1 2 1 2 2 1

Addition 3 page 19

1. 63377 2. 141603 3. 759127 4. 408033 5. 225145

6. 818207 7. 1025 291 8. 134 861

Addition 4 page 20

1. 28031 2. 17012 3. 42248 4. 72514 5. 107685

6. 109066 7. 107783 8. 100555

Addition 5 page 21

1. 41·76 2. 920·965 3. 325·433 4. 6807·366 5. 5504·797

6. 204·445 7. 1888·477 8. 763·379

Addition 6 page 22

1. 133·13 2. 114·714 3. 100·626 4. 313·28 5. 110·773

6. 46·621 7. 92·026 8. 911·845

Page 207: Year 6 Maths Worksheets

207

Addition 7 page 23 1. 2. 3. 4.

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

+ 2 5 1 + 1 7 4 5 + 7 2 3 + 4 9 1 3

1 8 4 1 5 3 1 2 6 4 5 1 84 8 0 5. 6. 7. 8.

1 6 ·3 5 2 5 4· 7 2·5 7 3 1 9· 2 5

+ 3 ·2 6 + 7 4· 2 + 0·8 4 2 + 7 4· 3 6

1 9·6 1 3 2 1·5 3·4 1 5 9 3· 6 1

Addition 8 page 24

1. 57 + 21 = 78 2. 78 + 65 = 143

570 + 210 = 780 780 + 650 = 1430

5700 + 2100 = 7800 7800 + 6500 = 14 300

0·57 + 0·21 = 0·78 0·78 + 0·65 = 1·43

5·70 + 2·10 = 7·80 7·80 + 6·50 = 14·30

0·057 + 0·021= 0·078 0·078+0·065 = 0·143

3. 98 + 24 = 122 4. 56 + 75 = 131

980 + 240 = 1220 560 + 750 = 1310

9800 + 2400 = 12200 5600 + 7500 = 13100

0·98 + 0·24 = 1·22 0·56 + 0·75 = 1·31

9·80 + 2·40 = 12·20 5·60 + 7·50 = 13·10

0·098+ 0·024 = 0·122 0·056+0·075 = 0·131

Addition 9 page 25

1. 8200 2. 9800 3. 7700 4. 13800 5. 4200 6. 10700

7. 15000 8. 17100 9 12500 10. 14500 11. 13100 12. 9500

13. 18800 14. 2300 15. 4900 16. 4200 17. 1600 18. 7600

19. 2900 20. 6500 21. 4700 22. 13100 23. 14000 24 2100 Addition 10 page 26

1. 0·09 2. 0·09 3. 0·08 4. 0·08 5. 0·03 6. 0·07

7. 0·03 8. 0·09 9. 0·18 10. 1·07 11. 0·04 12. 0·3

13. 0·7 14. 0·8 15. 0·45 16. 0·54 17. 0·17 18. 0·8

19. 0·09 20. 0·88 21. 0·97 22. 0·44 Addition 11 page 27

1. 0·56 2. 0·92 3. 0·77 4. 0·38 5. 2·17 6. 2·44

7. 9·44 8. 8·28 9. 12·04 10. 1·872 11. 7·639 12. 2·146

13. 1·111 14. 12·16

Page 208: Year 6 Maths Worksheets

208

Addition 12 page 28

1. 175 325 2. 250 100 3. 350 450

4. 150 250 425 5. 125 275 200

Addition 13 page 29

1. 7624 + 3957 = 7624 + 7 + 50 + 900 + 3000 = 11581

+ 7 +50 + 900 +3000

7624 7631 7681 8581 11581

2. 1357 + 297 = 1357 + 7 + 90 + 200 = 1654

+ 7 +90 + 200

1357 1364 1454 1654

3. 5724 + 562 = 5724 + 2 + 60 + 500 = 6286

+ 2 +60 + 500

5724 5726 5786 6 286

4. 7534 + 1582 = 7534 + 2 80 + 500 + 1000 = 9116

+ 2 +80 + 500 +1000

7534 7536 7616 8116 9116

Page 209: Year 6 Maths Worksheets

209

Addition 14 page 30

1. 9241 + 5176 = 9241 + 6 + 70 + 100 + 5000 = 14417

+ 6 +70 + 100 +5000

9241 9247 9317 9417 14417

2. 4276 + 247 = 4276 + 7 + 40 + 200 = 4523

+ 7 +40 + 200

4276 4283 4323 4523

3. 3793 + 493 = 3793 + 90 + 400 = 4286

+ 3 +90 + 400

3793 3796 3886 4286

4. 5056 + 3873 = 5056 + 3 + 70 + 800 + 3000 = 8929

+ 3 +70 + 800 +3000

5056 5059 5129 5929 8929

Subtraction 1 page 31

1. 403-67= 3+30+300+3= 336

+ 3 +30 + 300 +3

67 70 100 400 403

2. 309-94= 6+200+9= 215 + 6 + 200 +9

94 100 300 309

3. 713-83= 7+10+600+13= 630

+ 7 +10 + 600 +13

83 90 100 700 713

4. 521-78= 2+20+400+21=443 + 2 +20 + 400 +21

78 80 100 500 521

Page 210: Year 6 Maths Worksheets

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Subtraction 2 page 32

41 8 1 41 6 1 2 1 3 1 8 1 7 1 5 1 8 1

1. 5697 2. 5134 3. 7634 4. 4494 5. 2845 6. 6793

- 749 - 623 - 805 - 865 - 783 - 985

4948 4511 6829 3629 2062 5808

1 9 1 1 3 1 5 21 2 1 1 7 1 011 5 61 7. 2942 8. 8634 9. 3049 10. 8467 11. 1123 12. 4678

- 836 - 459 - 2457 - 6734 - 1034 - 2489

2106 8175 592 1733 89 2189 1 1 1

6 2 41 7 2 61 2 101 4 151 2 1 71421

13. 7356 14. 8469 15. 8374 16. 8312 17. 56345 18. 98534

- 4378 -7356 - 4286 - 4295 - 7891 - 34697

2978 1113 4088 4017 48454 63837

1 1 1 9 15 31 4 21351 8 1 1 1 11 1 716 1 8 1 4 1 1

19. 16474 20. 53464 21. 89321 22. 12567 23. 23870 24. 90501

- 7891 -34897 - 6712 - 7834 - 12671 - 67232

8583 18567 82609 4733 11199 23269

Subtraction 3 page 33

1. 3388 2. 556 3. 59587 4. 37844 5. 71587 6. 11032

7. 804479 8. 25793

Subtraction 4 page 34

1. 21·999 2. 644·99 3. 420·36 4. 6613·134 5. 667·987

6. 77·676 7. 116·835 8. 783·585

Subtraction 5 page 35

1. 2. 3. 4. 5.

3 2 9 0 5 3 2 4 6 3 2 7 8 6 19 2 2 · 1 7

- 5 3 8 - 3 3 7 0 - 2 6 8 3 - 5 0 2 3 5 · 3 9

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

6. 7. 8.

621· 6 6· 3 7 2 4 9 · 1 6

- 275· 9 - 5· 1 3 4 - 2 4 · 4 8

345· 7 1·2 3 8 2 4 · 6 8

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9. ×10 10. × 1000 11. × 100 12. × 1000

Subtraction 6 page 36

1. 87 - 25 = 62 2. 74 - 35 = 39 3. 92-37 = 55 4. 76-29= 47

870 - 250 = 620 740 -350 =390 920-370 = 550 760-290=470

8700 - 2500 = 6200 7400 -3500 =3900 9200-3700=5500 7600-2900=4700

0·87 - 0·25 = 0·62 0·74 -0·35 =0·39 0·92-0·37=0·55 0·76-0·29=0·47

8·70 - 2·50 = 6·2 7·4 -3·5 =3·9 9·2- 3·7=5·5 7·6-2·9=4·7

0·087 - 0·025=0·062 0·074 - 0·035=0·039 0·092-0·37=0·055 0·076-0·029=0·047

Subtraction 7 page 37

1. 8700 - 6000 = 6100 2. 6300 -5400 = 900 3. 5800 - 2700 = 3100

4. 8300 - 5800 = 2500 5. 7300 - 2900 = 4400 6. 2900 -2200 = 700

7. 9600 - 3700 = 5900 8. 9500 - 7700 = 1800 9. 6400 – 4900 = 1500

10. 11700 - 8700 = 3000 11. 12400 - 3800 = 8600 12. 22800 – 11700 =11100

13. 19200 - 15600 = 3600 14. 9600 – 6200 = 3400 15. 7400 – 4700 = 2700

16. 9400 – 1800 = 7600 17. 2400 – 500 = 1900 18. 5500 – 1800 = 3700

19. 11000 – 4300 = 6700 20. 8200 – 3500 = 4700 21. 18700 – 9500 = 9200

22. 7400 – 700 = 6700 23. 6600 – 2800 = 3800 24. 9800 – 5900 = 3900

Subtraction 8 page 38

1. 0·7 2. 0·1 3. 0·15 4. 0·72 5. 0·43 6. 0·24

7. 5·07 8. 2·18 9. 1·68 10. 0·93 11. 6·985 12. 0·016

13. 1·028 14. 4·211

Subtraction 9 page 39

1. -1·5, 1·5 2. 3·5, -4·5 ` 3. -8·8, 3·2 4. -1·5, -1·0

5. 1·75, 2·5 Multiplication 1 page 40

1. 560 2. 78 3. 2360 4. 6000 5. 39120 6. 528910

7. 130 8. 26890 9. 2400 10. 1400 11. 78900 12. 40000

13. 451000 14. 4681300 15. 229600 16. 3589100 17. 10 18. 3700

19. 10 20. 9900 21. 50 22. 10 23. 12400 24. 10

Multiplication 2 page 41

1. 100, 4500 2. 100, 8900 3. 1000, 24000 4. 100, 32100

5. 1000, 90000 6. 1000, 305000 7. × 10 8. × 100

Page 212: Year 6 Maths Worksheets

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Multiplication 3 page 42

1. 550 2. 1200 3. 1450 4. 2500 5. 1800

6. 500 7. 400 8. 1250 9. 850 10. 1200

Multiplication 4 page 43

1. 224 2. 352 3. 240 4. 512 5. 672

6. 144 7. 336 8. 360 9. 1200 10. 1008

Multiplication 5 page 44

1. a. 182 b. 104 c. 234 2. a. 192 b. 320 c. 512

3. a. 192 b. 336 c. 432

Multiplication 6 page 45

1. (30 × 3) + (7 × 3) = 90 + 21 = 111 2. (60 ×4) +(5×4) = 240 + 20 = 260

3. (40 × 7) + (3 × 7) = 280 + 21 = 301 4. (50 ×8) +(9×8) = 400 + 72 = 472

5. (70 × 9) + (6 × 9) = 630 + 54 = 684 6. (80 ×6) +(7×6) = 480 + 42 = 522

7. (50 × 7) + (8 × 7) = 350 + 56 = 406 8. (70 ×8) +(9×8) = 560 + 72 = 632

Multiplication 7 page 46

1. (60 × 6) + (5 × 6) = 360 + 30 = 390 2. (40 ×9) +(5×9) = 360 + 45 = 405

3. (70 × 7) + (2 × 7) = 490 + 14 = 504 4. (40 ×9) +(9×9) = 360 + 81 = 441

5. (60 × 8) + (7 × 8) = 480 + 56 = 536 6. (50 ×6) +(4×6) = 300 + 24 = 324

7. (90 × 7) + (8 × 7) = 630 + 56 = 686 8. (70 ×8) +(3×8) = 560 + 24 = 584

Multiplication 8 page 47

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

7. 7 8. 8 9. 76 10. 82 11. 95 12. 77

13. 27 14. 28 15. 78

Multiplication 9 page 48

1. 6 × 49 = (6 × 50) - 6 = 300 - 6 = 294 2. 4 × 49 = (4 × 50)-4 = 200-4 = 196

3. 15 × 49 = (15 × 50)-15 = 750-15 = 735 4. 8 × 49 = (8×50)-8 = 400-8 =392

5. 26 × 49 = (26 × 50)-26 = 1300-26 =1274 6. 33×49 = (33×50)-33 =1650-33 = 1617

7. 49×49 = (49×50) -49 = 2500-49 =2401 8. 94 ×49= (94×50)-94 = 4700-94 =4606

Multiplication 10 page 49

1. 5 × 51= (5 × 50) + 5 = 250 + 5 = 255 2. 7 × 51 = (7 × 50) + 7= 350 + 7 = 357

3. 9 × 51= (9 × 50) + 9 = 450 + 9 = 459 4. 12 ×51=(12×50) +12 =600 +12 = 612

5. 24×51=(24 × 50)+24=1200 + 24 =1224 6. 36×51= (36×50)+36=1800+36 =1836

7. 78×51= (78×50)+78 =3900 +78 =3978 8. 53×51= (53×50)+53= 2650+53 = 2703

Page 213: Year 6 Maths Worksheets

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Multiplication 11 page 50

1. 465 × 5 = 400 60 5 = 2325

5

2. 748 × 6 = 700 40 8 = 4488

6

3. 734 × 3 = 700 30 4 = 2202

3

4. 876 × 9 = 800 70 6 = 7884

9

5. 978 × 8 = 900 70 8 =7824

8

Multiplication 12 page 51

1. 2461 × 4 = 2000 400 60 1 = 9844

4

2. 3255 × 5 = 3000 200 50 5 = 16275

5

3. 6328 × 3 = 6000 300 20 8 = 18984

3

4. 1289 × 7 = 1000 200 80 9 = 9023

7

5. 4196 × 8 = 4000 100 90 6 = 33568

8

8000 1600 240 4

15000 1000 250 25

18000 900 60 24

7000 1400 560 63

32000 800 720 48

4200

300 25 2000

240 48

2100 90 12

7200 630 54

7200 560 64

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Multiplication 13 page 52

1. 4256 × 3 = 4000 200 50 6 = 12768

3

2. 3728 × 6 = 3000 700 20 8 = 22368

6

3. 6146 × 7 = 6000 100 40 6 = 43022

7

4. 4578 × 9 = 4000 500 70 8 = 41202

9

5. 7552 × 8 = 7000 500 50 2 = 60416

8

12000 600 150 18

18000 4200 120 48

42000 700 280 42

36000 4500 630 72

56000 4000 400 16

Page 215: Year 6 Maths Worksheets

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Multiplication 14 page 53

1. 126×5 125 × 5 = 600 2. 756 × 4 750 ×4 = 3000

126 756

× 5 × 4

500 (100×5) 2800 (700×4)

100 ( 20 ×5) 200 ( 50×4)

30 ( 6 ×5) 24 ( 6×4)

630 (126×5) 3024 (756×4)

3. 453x5 450 × 5 = 2250 4. 691 × 6 700 × 6 = 4200

453 691

× 8 × 6

3200 (400×8) 3600 (600×6)

400 ( 50 ×8) 540 ( 90×6)

24 ( 3 ×8) 6 ( 1×6)

3624 (453×8) 4146 (691×6)

5. 728×9 720 10 = 7200 6. 847 × 8 850 × 8 = 3400

728 847

× 9 × 4

6300 (700 ×9) 6400 (800×8)

180 ( 20 ×9) 320 ( 40×8)

72 ( 8 ×5) 56 ( 7×8)

6552 (728×5) 6776 (847×8)

+ +

+ +

+ +

Page 216: Year 6 Maths Worksheets

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5622

Multiplication 15 page 54

1. 1526 × 5 1500 × 5 = 7500 2. 2715 × 3 2700 × 3 = 8100

1526 2715

× 5 × 3

5000 (1000 ×5) 6000 (2000×3 )

2500 ( 500 ×5) 2100 ( 700×3 )

100 ( 20 ×5) 30 ( 10×3 )

30 ( 6 ×5) 15 ( 3×5 )

7630 8145 (2715×3)

3. 3642 × 5 3500 × 5 = 17500 4. 7367 × 3 7300 × 3 = 22000

3642 7367

× 5 × 3

15000 (3000 ×5) 21000 (7000 ×3 )

3000 ( 600 ×5) 900 ( 300 ×3 )

200 ( 40 ×5) 180 ( 60 ×3 )

10 ( 2 ×5) 21 ( 7 ×3)

18210 22101 (7367 ×3)

5. 4318 × 7 4000 × 7 = 28000 6. 6967 × 8 7000 × 8 = 56000

4318 6967

× 7 × 8

28000 (4000 ×7) 48000 (6000 ×8)

2100 ( 300 ×7) 7200 ( 900 ×8)

70 ( 10 ×7) 480 ( 60 ×8)

56 ( 8 ×7) 56 ( 7 ×8)

30226 55736 (6967 ×8)

Multiplication 16 page 55

1. 597 2. 736 3. 268 4. 947 5. 783 6. 937

× 6 × 6 × 6 × 8 × 7 × 6

3582 4416 1608 7576 5481 5 4 23 4 4 3 5 52 24

Multiplication 17 page 56

1. 4895 2. 6309 3. 1297 4. 3437 5. 4779 6. 9786

× 6 × 4 × 5 × 6 × 7 × 8

29370 25236 6485 20622 33453 78288 5 53 1 3 1 4 3 2 2 4 5 5 6 6 6 4

+ +

+ +

+ +

Page 217: Year 6 Maths Worksheets

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Multiplication 18 page 57

1. 18904 2. 13390 3. 22074 4. 31302

Multiplication 19 page 58

1. 8·26 × 4 (8 ×4)= 32 2. 4·81 × 5 (5×5)=25

8·00 × 4 = 32·00 4·00 ×5 = 20·00

0·20 × 4 = 0·80 0·80 × 5 = 4·0

0·06 × 4 = 0·24 0·01 × 5 = 0·05

33·04 24·05

3. 5·17 × 6 (5×6)= 30 4. 6·35 × 4 (6×4)=24

5·00 ×6 = 30·00 6·00 × 4 = 24·00

0·10 × 6 = 0·60 0·30 × 4 = 1·20

0·07 ×6 = 0·42 0·05 × 4 = 0·20

31·02 25·40

5. 6·84 × 7 (7×7)=49 6. 9·68 × 8 (10×8)=80

6·00 × 7 = 42·00 9·00 × 8 = 72·00

0·80 × 7 = 05·60 0·60 × 8 = 4·80

0·04 × 7 = 00·28 0·08 × 8 = 0·64

47·88 77·44

Multiplication 20 page 59

1. 7·54 ×7 (8 × 7 )=56 2. 9·78 × 6 (10×6) = 60

7·00 × 7 = 49·00 9·00 × 6 = 54·00

0·50 × 7 = 03·50 0·70 × 6 = 4·20

0·04 × 7 = 00·28 0·08 × 6 = 0·48

52·78 58·68

3 6·05 × 8 (6 × 8 )= 48 4. 5·73 × 9 (6 × 8) = 48

6·00 × 8 = 48·00 5·00 × 9 = 45·00

0·05 × 8 = 00·40 0·70 × 9 = 06·30

48·40 0·03 × 9 = 0·27

51·57

5. 12·24 × 3 (12 ×3)=36 6. 24·72 × 4 (25×4) = 100

12·00 × 3 = 36·00 24·00 × 4 = 96·00

0·20 × 3 = 00·60 00·70 × 4 = 02·80

0·04 × 3 = 00·12 00·02 × 4 = 00·08

36·72 98·88

7. 16·82 × 5 (17 ×5)=85 8. 23·06 × 6 (236)=138

16·00 × 5 = 80·00 23·00 × 6 = 138·00

00·80 × 5 = 4·00 00·06 × 6 = 00·36

00·02 × 5 = 0·10 138·36

84.10

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Multiplication 21 page 60

1. 150 2. 177 3. 200 4. 340 5. 500 6. 450 7. 400 8. 600

Multiplication 22 page 61

1. 476 × 15 = × 400 70 6 =

2. 694 × 24 = × 600 90 4 =

3. 829 × 37 = × 800 20 9 =

4. 497 × 68 = × 400 90 7 =

4000 700 60

2000 350 30

4760

2380

7140 1 1

+

5 10

0

12000 1800 80

2400 360 16

13880

2776

16656 1 1

+

4

20

0

5

24000 600 270

5600 140 63

24870

5803

30673 11

+

5 30

0

24000 5400 420

3200 720 56

29820

3976

33796 1 1

+

8

60

0

7

Page 219: Year 6 Maths Worksheets

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Multiplication 23 page 62

1. 3472 × 25 = × 3000 400 70 2 =

2. 6193 × 32 = × 6000 100 90 3 =

3. 3831 × 53 =

× 3000 800 30 1 =

4. 8456 × 24 = × 8000 400 50 6 =

8000 1400 40

2000 350 10

69440

17360

86800 1 1

+

20

0

11

5

60000

15000

3000 2700 90

200 180 6

185790

12386

198176 11

+

30

0

2

180000

00 12000

11 40000 1500 50

2400 90 3

191550

11493

203043 1 1 1

+

50

3

150000

00 9000

11 8000 1000 120

1600 200 24

169120

33824

202944 11

+

20

0 4

160000

00 32000

Page 220: Year 6 Maths Worksheets

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7 0 2 3 8

4 3

3

5 0 1

7 1

7 0 2 1

)

5

5

5

3

×

×

×

0 3 0

4 0

( 5

4 7

4

0 1 0 3

1 7 2

5 2

3

3

3

4

4

4

×

5 ×

×

0 ( 7 0

( 4 0

( 6

5

5

0 0

5

5

1

3

5 )

)

6

3

0

0

8

Multiplication 24 page 63

1. 345 × 35 = 12075

`

2. 746 × 43 = 32078

1

1 1

1 4 0

×

3

(

(

×

)

0

)

)

Page 221: Year 6 Maths Worksheets

221

2 2

4

0 4 8

5 2

8

×

)

)

)

4

4

4

2

2

2

× 0

6 ×

( ×

6

2

2

0 2

0

4

0

0

2

4 0 0 1 1

2

(

6 7

3

0 2 5

8 0

1

×

)

)

)

3

3

3

× 0

( 5 ×

( ×

5

6

2

0 7

0

6

0

0

1

6 1

1

2 7 2

6

2

2

(

4 5

6

0 5

9 5

6

)

)

)

5

5

5

× 0

( 3 ×

( ×

3

5

2

0 5

0

0

0

0

1

0 1 7 4 3

4

3

2

Multiplication 25 page 64

1. 262 × 42 = 11004

2. 756 × 36 = 27216

3. 534 × 65 = 34710

Multiplication 26 page 65

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

(

(

1 1

6

6

6

2

×

6

6

6

1 1

Page 222: Year 6 Maths Worksheets

222

Factors and Multiples 1 page 66

1. 18 1,2,3,6,9,18 2. 40 1, 2,4,5,8,10,20,40 3. 64 1,2,4,8, 16,32 64

4. 20 1,2,4,5,10,20 5. 36 1,2, 3,4, 6, 9,12, 18

6. 48 1,2,4,6,812,16,24,48 7. 24 1,2,4,6,8,12,24

Answers include:

8. 12 × 15 12 × 3 5, 15 × 6 × 2, 15 × 3 × 4 = 180

9. 16 × 12 16 × 3 × 4, 16 × 2 × 6, 12 × 4 × 4 = 192

10. 24 × 18 6 × 4 × 9 × 2, 12 × 2 × 9 × 2, 6 × 4 × 3 × 6 = 432

11.33 × 16 33 × 4 × 4, 33 × 8 × 2, 16 × 11 × 3 = 528

12. 27 × 18 27 × 9 × 2, 27 × 3 × 6, 18 × 3 × 9 = 486

13. 25 × 16 25 × 4 × 4, 25 × 2 × 8, 16 × 5 × 5 = 400

14. 24 × 25 24 × 5 × 5, 25 × 8 × 3, 25 × 6 × 4 = 600

Page 223: Year 6 Maths Worksheets

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Factors and Multiples 2 page 67

Number Factors Number of Factors

1 1 1

2 1 2 2

3 1 3 2

4 1 2 4 3

5 1 5 2

6 1 2 3 6 4

7 1 7 9 2

8 1 2 4 8 4

9 1 3 9 3

10 1 2 5 10 4

11 1 11 2

12 1 2 3 4 6 12 6

13 1 13 2

14 1 2 7 14 4

15 1 3 5 15 4

16 1 2 4 8 16 5

17 1 17 2

18 1 2 3 6 9 18 6

19 1 19 2

20 1 2 4 5 10 20 6

Page 224: Year 6 Maths Worksheets

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Factors and Multiples 3 page 68

Number Factors Number of Factors

21 1 3 7 21 4

22 1 2 11 22 4

23 1 23 2

24 1 2 3 4 6 8 12 24 8

25 1 5 25 3

26 1 2 13 26 4

27 1 3 9 27 4

28 1 2 4 7 14 28 6

29 1 29 2

30 1 2 3 5 6 10 15 30 8

31 1 31 2

32 1 2 4 8 16 32 6

33 1 3 11 33 4

34 1 2 17 34 4

35 1 5 7 35 4

36 1 2 3 4 6 9 12 18 36 9

37 1 37 2

38 1 2 19 38 4

39 1 3 13 39 4

40 1 2 4 5 8 10 20 40 8

41 1 41 2

42 1 2 3 6 7 14 21 42 8

43 1 43 2

44 1 2 4 11 22 44 6

45 1 3 5 9 15 45 6

Page 225: Year 6 Maths Worksheets

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Factors and Multiples 4 page 69

1. a. 2 3 5 7 11 13 17 19 23 29 31 37 41 43 b. Prime numbers

2. 9 25 3. Odd Square numbers

Factors and Multiples 5 page 70

1. Composite numbers 2. 13 31 17 71 19 91 37 73

3. 845 ends in 5 so it is divisible by 5 a prime number is only divisible by 1 or itself.

4. 266 is an even number a prime number is always odd.

5. Examples such as 23 12 14 16 25

Factors and Multiples 6 page 71

1. 2 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 3 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

2. 5 5,10,15,20,25,30,35,40,45,50 4 4, 8,12,16,20,24,28,32,36,40

3 3 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 9 9, 18, 27, 36, 45, 54, 63, 72,81, 90

4. 5 5,10,15,20,25,30,35,40,45,50 7 7, 14,21,28,35, 42, 49,56, 63, 70

5. 4 4, 8,12,16,20,24,28,32,36,40 10 10,20,30,40,50,60,70,80,90,100

6. 6 6,12,18,24,30,36,42,48,54,60 9 9, 18, 27, 36, 45, 54, 63, 72,81, 90

Factors and Multiples 7 page 72

1. 6 6, 12,18,24,30,36,42,48,54,60 2. 3 3,6,9,12,15,18,21,24,27,30

3 3,6,9,12,15,18,21,24,27,30 6 6,12,18,24,30,36,42,48,54,60

5 5,10,15,20,25,30,35,40,45,50 8 8,16,24,32,40,48,56,64,72,80

3. 5 5,10,15,20.25,30,35,40,45,50 4. 4 4,8,12,16,20,24,28,32,36,40

6 6,12,18,24,30,36,42,48,54,60, 6 6,12,18,24,30,36,42,48,54,60

10 10,20,30,40,50,60,70,80,90,100 9 9,18,27,36,45,54,63,72,81,90

5. 9 9,18,27,36,45,54,63,72,81,

8 , 8,16,24,32,40,48,56,64,72,80

12 12,24,36,48,60,72,84,96,108,120

Page 226: Year 6 Maths Worksheets

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Factors and Multiples 8 page 73

1. 24, 48, 72, 96, 120, 144 2. 30

3. . 42, 84, 126

4. 72 5. 28 days 6. 90 beads

Factors and Multiples 9 page 74

1. 13, 26, 39, 52, 65, 78, 91, 104 2. 84

3. Answers include 305, 310, 315, 320, 325, 330, 335, 340, 345, 350

4. a. 25, 50, 75, 100, 125, 150, 175, 200, 225, 250

b. They all end in 25, 50, 75 or 00

5. 11,22,33,44,55,66,77,88,99,110,121,132,143,154,165,176,187,198, 209, 220,

231,242,253,264,275

Division 1 page 75

1. 24 2. 369 3. 13 4. 34 5. 450 6. 4670

7. 123 8. 7820 9. 66 10. 4 11. 23 12. 1

13. 67 14. 923 15. 22 16. 546 17. 10 18. 9

19. 10 20. 56 21. 4300 22. 10 23. 12 24. 100

Division 2 page 76

1. 100, 4 2. 100, 45 3. 1000, 9 4. 100, 800 5. 100, 9.34

6. 1000 3.215 7. 1000, 0.456 8. ÷10 9. ÷100 10. ÷10

11. ÷100 12. ÷1000 13. ÷1000

Division 3 page 77

1. 32 1,2,4,8,16,32 2. 25 1, 2,5,25 3. 48 1,2,3,4,8,16,24,48

4. 54 1, 2,3,6,9,27,54 5. 60 1,2,3,4,5,6,10,12,15,30,60

6. 100 1,2,4,5,10,25,50,100 7. 108 1, 2, 3,4,6,9,12,18,27,54,108

Answers include:

8. 168 ÷ 12 (168÷3)÷4, (168÷6) ÷2,(84÷12)+(84÷12)=14

9. 180 ÷ 15 (180÷3)÷5, (180÷5) ÷3, (90÷15)+(90÷15)= 12

10. 60 ÷ 15 (60÷3)÷5, (60÷5) ÷3, (30÷15)+(30÷15)= 4

11. 120 ÷ 24 (120÷6)÷4, (120÷12) ÷2, (120÷8) ÷3= 5

12. 800 ÷ 16 (800÷8)÷2, (800÷4) ÷4, (400÷16)+(400÷16)= 50

13. 108 ÷ 27 (108÷3)÷9, (108÷9) ÷3, (54÷27)+(54÷27)= 4

14. 390 ÷ 15 (180÷3)÷5, (180÷5) ÷3, (90÷15)+(90÷15)= 12

Page 227: Year 6 Maths Worksheets

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4 5

2 7

1

2

2 4

1

5

1

5

4

5

4 5

3

7

3 7

1

6

1

3

1 9

6

7

Division 4 page 78

1. √ 2. √ 3. √ 4. × 5. √ 6. √ 7. × 8. √

9. × 10. × 11. √ 12. √ 13. × 14. √ 15. × 16. √

Division 5 page 79

1. 246 ÷ 4 240 ÷ 4 = 60 2. 566÷5 550 ÷ 5 = 110

61 113

4 246 5 566

240 (60 × 4) 550 ( 110 × 5)

6 16

4 ( 1 ×× 4) 15 ( 3 × 5 )

2 1

Answer 61 Answer 113

3. 294 ÷5 290 ÷ 5 = 58 4. 451÷7 420 ÷ 7 = 60

58 64

5 294 7 451

290 ( 58 ×5 ) 420 ( 60 ×7)

4 31

28 ( 4 × 7 )

3

Answer 58 Answer 64

Division 6 page 80

1. 149 ÷ 7 140 ÷ 7 = 20 Answer 21

2. 325 ÷ 6 300 ÷ 6 = 50 Answer 54

3. 230 ÷ 6 180 ÷ 6 = 30 Answer 38

4. 259 ÷ 5 250 ÷ 5 = 50 Answer 51

5. 748 ÷ 9 720 ÷ 9 = 80 Answer 83

6.. 685 ÷ 7 630 ÷ 7 = 90 Answer 97

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

Page 228: Year 6 Maths Worksheets

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Division 7 page 81

1. 46·2 42 ÷ 7 = 6 2. 11·75 ÷ 5 10 ÷ 5 =2

6·6 2·35

7 46·2 5 11·75

42 (6 × 7) 10 (2 × 5)

4·2 ( 0·6 ×7) 1·75

Answer 6·6 1·5 (0·3 × 5)

0·25 (0·05 × 5)

Answer 2·35

3. 25·9 ÷2 24 ÷ 2 = 12 4. 18·9 ÷ 9 2

12·95 2·1

2 25·9 9 189

24 ( 12 × 2) 18 ( 2 × 9 )

1·9 0·9 (0·1 × 9)

1·8 ( 0·9 × 2 )

0· 10 (0·05 × 2)

Answer 12·95 Answer 2·1

Division 8 page 82

1. 84·6 ÷ 9 9 2. 32·5 ÷ 5 30 ÷ 5 =6

9·4 6·5

9 84·6 5 32·5

81·0 ( 9 × 9) 30 ( 6 × 5)

3·6 (0·4 ×9) 2·5 (0·5 × 5)

Answer 9·4 Answer 6·5

3. 47·4 ÷ 5 45 ÷ 5 = 9 4. 24·72 ÷ 2 24 ÷ 2 =12

9·48 12·36

5 47·4 2 24·72

45·0 ( 9 × 5) 24 ( 12 × 2 )

2·4 0·72 (0·36 × 2)

2·0 ( 0·4 × 5 )

0·40 (0·08 × 5)

Answer 9·48 Answer 12·36

5. 28·2 ÷ 6 24÷6= 4 6. 60·8 ÷ 8 56 ÷ 8 = 7

4·7 7·6

6 28·2 8 60·80

24 ( 4 × 6) 56 ( 7 × 8)

4·2 ( 0·7 ×6) 4·8 (0·6 × 8)

Answer 4·7 Answer 7·6

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

Page 229: Year 6 Maths Worksheets

229

Division 9 page 83

1. 2156 123 470 140 678 467 998 1002 771 43

2. 12 66 94 104 236 126 282 398 448 732 512

3. 1025 1660 3450 36 775 240 900 3335 11175 45

6700 385 67 450 24 200 6590 1100 750 6648 175

4. 6800 216 4256 444 816 612 2680 3156 796

Division 10 page 84

1. a. yes b. no c. yes

2. yes Half of 864 is 432 which is divisible by 4.

3. yes 3500 ends in 00 so it is divisible by 25.

4. no 86 is not divisible by 4.

Division 11 page 85

1. 6500 219 4250 445 805 610 2681 3156 790

2. 68 99 123 672 560 742 919 678 145 252 2106 178 471 142 6765

465 981 1002 771 43

3. 69 72 94 1242 236 99 282 398 448 732 512 4. 68 900 609 504 112 799 75 810 702 333

Division 12 page 86

1. Answers include 302, 304, 306, 308, 312,314 398

2. Answers include 1505, 1510, 1515,1520, 1525 1995

3. Answers include 603, 606, 609, 612, 615,618 699

4. Answers include 906, 912, 918, 924, 930,936 1194

5. Answers include 2004,2008,2012,2016, 2024 2096

6. Answers include 1503,1512,1521,1530, 1539 1998

7. Answers include 1608,1616,1624,1632, 1640 1992

8. Answers include 410, 420, 430, 440, 450,460 790

9. Answers include 1008, 1017, 1026, 1035,1044 1395

10. Answers include 704, 712, 720, 728, 736,744 996

Division 13 page 87

1. 38 74 2. 89 53 3. 48 93 4. 79 40 5. 36 92

Division 14 page 88

1. 150 2. 366 3. 270 4. 125 5. 425 6. 400

7. 762 8. 500

Division 15 page 89

1. 437 ÷ 19 440 ÷ 20 = 22 Answer 23

2. 648 ÷ 24 650 ÷ 25 = 26 Answer 27 ~

~

~

~

Page 230: Year 6 Maths Worksheets

230

3. 459 ÷ 17 459 ÷ 17 = 30 Answer 27

4. 546 ÷ 14 540 ÷ 15 = 36 Answer 39

5. 522 ÷ 29 510 ÷ 30 = 17 Answer 18

6. 663 ÷ 13 660 ÷ 10 = 66 Answer 51

Multiplication and Division 1 page 90

1. £24 2. Brighton 3. £20 4. £40 5. £68 £70

Multiplication and Division 2 page 91

1. 4 + 8 7 + 6 = (4 + 8) × 7 + 6 = 12 × 7 + 6 = 90

=4 +( 8 × 7) + 6 = 56 + 4 + 6 = 66

=4 + 8 × (7 + 6) = 13 × 8 + 4 = 108

=(4 + 8) × (7 + 6) = 12 × 13 = 156

2. 64 ÷ 8 × 4 × 3 =(64 ÷ 8) × 4 × 3 = 8 × 4 × 3 = 96

=64 ÷ (8 × 4) × 3 = 64 ÷32 ×3 = 6

3. 100 ÷ 5 × 5 +4 =(100 ÷ 5) × 5 + 4 = 20 × 5 + 4 = 104

=100 ÷ (5 × 5) + 4 = 100 ÷ 25 + 4 = 8

=(100 ÷ 5) × (5 + 4) = 20 × 9 = 180

4. 56 ÷ 4 × 2 × 7 =(56 ÷ 4) × 2 × 7 = 14 × 2 × 7 = 196

=56 ÷ (4 × 2) × 7 = 56 ÷ 8 ×7 = 49

=56 ÷ (4 × 2 × 7) = 56 ÷ 56 = 1

5. 3 + 7 5 + 6 =(3 + 7 ) × 5 + 6 = 10 × 5 + 6 = 56

=3 + (7 × 5) + 6 = 35 + 3 + 6 = 44

=3 + 7 × (5 + 6) = 11 × 7 + 3 = 80

=(3 + 7) × (5 + 6 )= 10 × 11 = 110

Multiplication and Division 3 page 92

1. 56 – 24 ÷ 8 = (56 – 24) ÷ 8 = 32 ÷ 8 = 4

2. 48 + 15 ÷ 3 + 7 =48 + (15 ÷ 3) + 7 = 48 + 5 + 7 = 60

3. 13 × 4 × 2 - 20 =(13 × 4) × 2 - 20 = 52 × 2 -20 = 84

4. 56 ÷ 8 + 6 = 56 ÷ (8 + 6) = 56 ÷ 14 = 4

5. 47 - 11 × 12 ÷ 3 =(47 – 11) × 12 ÷ 3 = 36 × 12 ÷ 3 = 144

6. 7 × 7 + 9 × 3 = (7 × 7) + ( 9 × 3) = 49 + 27 = 76

7. 13 + 7 × 14 -9 = (13 + 7) × (14 -9) = 20 × 5 = 100

8. 14 + 6 × 9 + 32 =14 + (6 × 9) + 32 = 54 + 32 +14 = 100

9. 26 + 24 × 16÷8 =(26 + 24) × (16÷8) = 50 × 2 = 100

10. 28 × 2 – 31 × 4 = (28 × 2) – 31 × 4 =( 56 -31) × 4 =100

11. 56 ÷ 2 + 8 × 9 =(56 ÷2) + ( 8 × 9) = 28 + 72 =100

12. 5 × 12 × 4-28 =5 × (12 × 4) – 28 = (48 -28) ×5 = 100

Multiplication and Division 4 page 93

1. 27 2. 29 3. 6 4. 8 5. 41 6. 26 7. 61 8. 33 9. 32

10. 97 11. 10 12. 13 13. 5 14. 55 15. 230 16. 18 17. 1952 18. 79

19. 40 20. 288

~

~

~

~

~

~

~

~

Page 231: Year 6 Maths Worksheets

231

3 8

1 6

4

9

37

100

3 5

1 8

37

8

1

4

215 100

31

12

43

10

315

100 26

9

1

19

Multiplication and Division 5 page 94

1. 900 2. 350 3. 390 4. 100 5. 755 6. 250

7. 500 8. 201

Fractions and Decimals 1 page 95

A

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

7. 1 8. 7

B

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

Fractions and Decimals 2 page 96

1. is three times 2. is twice 3. is six times

4. is four times

Fractions and Decimals 3 page 97

1. is twice 2. is three times 3. is twice

4. is four times

Fractions and Decimals 4 page 98

1. ½ 2. ¼ 3. ⅜

Fractions and Decimals 5 page 99

1. 2. 3.

Fractions and Decimals 6 page 100

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

7. 8. 9. 10. 11. 12.

Fractions and Decimals 7 page 101

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

7. 8. 9. 10. 11. 12.

1

2 1

6

1

3

1

6

1

2 1

12

1

2

1

8

1

4

1

16

1

2 1

4

1

4

1

12 1

5

1

10

1

4 3 4

7

10 3 5

6 50

5 9

1

2 1

3 3 5

1

6 2

7

3

8

14

18

6

8 14

20

10

12

8

10

1

3 3

8 3

10

9

20 3

7

7

18

10

18

1

6

2

5

3

4

9

6

18

10

11

7

3

2

9

8

10

7

Page 232: Year 6 Maths Worksheets

232

=

12 14

1 10

15 24

20 24

7 10

5

12

4

12

9

10 8

10

7 10

6

20

9

12

Fractions and Decimals 8 page 102

1. 15 12 8 2 6 3 2. 3 5 4 1 2 5

20 20 20 5 10 4 6 6 6 2 3 6

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

18 18 18 6 9 3 12 12 12 4 3 2

5. 6 7 4 1 3 7 6. 12 21 20 2 2 7

8 8 8 2 4 8 30 30 30 5 3 10

7. 7 4 6 2 1 7 8. 16 21 14 1 4 3

18 18 18 9 3 18 28 28 28 2 7 4

9. 15 6 16 6 5 2

24 24 24 24 8 3

Fractions and Decimals 9 page 103

1. 3 + 4 = 7 2. 5 + 4 = 9 3. 3 + 2 = 5

12 12 12 20 20 20 6 6 6

4. 1 + 6 = 7 5. 5 + 3 = 8 6. 7 + 2 = 9

9 9 9 12 12 12 10 10 10

7. 9 + 8 = 17 8. 5 + 12 = 17

20 20 20 18 18 18

Fractions and Decimals 10 page 104

1. + = 2. + = 3. + =

4. + = 5. + = 6. + =

7. + = 8. + =

Fractions and Decimals 11 page 105

1. 6 - 3 = 3 2. 2 - 1 = 1 3. 4 - 1 = 3 = 1 4. 3 - 2 = 1

10 10 10 4 4 4 6 6 6 2 4 4 4

5. 9 - 6 = 3 6. 5 - 4 = 1 7. 7 - 6 = 1 8. 9 - 8 = 1

10 10 10 12 12 12 10 10 10 12 12 12

=

=

=

=

=

=

=

=

1

19

24

4 10

1

8 12

9 12

1

5

14 3

14

1

7 12

1

9

15 10

15

1

4

15

1

17

20

1

3

20

Page 233: Year 6 Maths Worksheets

233

2

12

1

10

1

2

1

8

3

8

10

15

1

6

Fractions and Decimals 12 page 106

1. 5 - 4 = 1 2. 8 - 3 = 5 1 3. 8 - 3 = 5

6 6 6 10 10 10 or 2 12 12 12

4. 7 - 2 = 5 5. 11 - 9 = 2 1 6. 13 - 6 = 7

8 8 8 12 12 12 or 6 15 15 15

7. 9 - 6 = 4 2 8. 19 - 15 = 4 1

10 10 10 or 5 20 20 20 or 5

Fractions and decimals 13 page 107

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

6. 1 7. 1 8.

Fractions and decimals 14 page 10

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

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

Fractions and decimals 15 page 109

1. £34 2. 84 3. 14 4. 140 5. 36km 6. 69

Fractions and decimals 16 page 110

1. £6 2. 72 3. 60cm 4. 1290g 5. 414 6. 28ml 7. 570k

Fractions and Decimals 17 page 111

1. 1·5 2. 0·9 3. 2·5 4. 3·5 5. 0·3 6. 0·75

7. 0·95 8. 1·58 9. 0·07 10. 3·40 11. 0·350 12. 0·750

13. 1·250 14. 0·568

Fractions and Decimals 18 page 112

1. 0·50 2. 0·25 3. 0·10 4. 0·20 5. 0·75 6. 0·33 7. 0·17 8. 0·01

9. 0·13 10. 0·83 11. 0·88 12. 0·80

Fractions and Decimals 19 page 113

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

7. 1·46 8. 0·24 9. 0·129 10. 0·937 11. 1·256 12. 0·078

5

20

22

24

8

10

46

100

258 100

15

100

1634

1000

257

1000

1

6

1

8

1

16

6

1

3

4

15

1

15

1

9

1

20

1

4

1

18

1

10

Page 234: Year 6 Maths Worksheets

234

Fractions and decimals 20 page 114

A.

1. 1·6 2. 0·7 3. 2·1 4. 3·1 5. 1·2 6. 3·0

7. 2·7 8. 3·4 9. 9·9 10. 8·3

B

1. 1·09 2. 1·76 3. 2·85 4. 4·11 5. 1·28 6. 13·04

7. 4·84 8. 3·81 9. 9·08 10. 5·43 11. 6·93 12. 12·26

13. 12·58 14. 25·38

Fractions and decimals 21 page 115

A.

1. 0·2 2. 0·6 3. 3·1 4. 4·3 5. 5·9 6. 0·9

7. 2·1 8. 1·9 9. 2·6 10. 0·7

B

1. 2·41 2. 2·89 3. 7·98 4. 1·09 5. 0·88 6. 7·18

7. 5·81 8. 0·25 9. 5·02 10. 1·51 11. 0·48 12. 2·88

13. 0·28 14. 2·76

Fractions and decimals 22 page 116

1. 2·13 2·15 2·28 2·75 2·78 2·96 2. 6·09 6·2 6·23 6·24 6·5 6·61

3. 38·01 38·02 38·12 38·13 38·30 38·34 4. 1·004 1·04 1·041 1·14 1·4 1·44

5. 0·001 0·017 0·111 0·17 0·701 0·710

Fractions and decimals 23 page 117

A.

1. 1·8 2. 3·5 3. 7·4 4. 14·4 5. 39 6. 21·6

7. 24·8 8. 34·8 9. 30·6 10. 62·4

B

1. 14·12 2. 8·75 3. 18·96 4. 20·64 5. 10·36 6. 19·02

7. 36·7 8. 14·88 9. 36·42 10. 61·92 11. 16·2 12. 68·46

13. 78·21 14. 48·48

Fractions and Decimals 24 page 118

A.

1. 4·15 2. 4·3 3. 6·4 4. 3·4 5. 5·9 6. 2·3

7. 2·6 8. 4·3 9. 1·5 10. 3·6

B

1. 18·02 2. 2·34 3. 6·12 4. 3·12 5. 4·62 6. 7·21

7. 2·97 8. 1·36 9. 1·69 10. 0·38 11. 5·68 12. 4·49

13. 2·38 14. 0·46

Page 235: Year 6 Maths Worksheets

235

2

5

2

5

Fractions and Decimals 25 page 119

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

7. 12% 35% 0.4 8. 0·54 59% 60%

9. 0·35 40% 50% 10. 0 0·89 0·98 99%

11. 50% 12. 25% 13. 36% 14. 88%

Fractions and decimals 26 page 120

1. £150 £75 2. £34 £17 3. £45 £22·5 4. £7 £28

5. £70 £280 6. £2·60 £10.4 7. £2·75 £13·75 8. £20 £10

9. £7 £3·5 10. £6·60 £39·60 11. £5·40 £32·40 12. £7·80 £70·20

Fractions and Decimals 27 page 121

2.17 217% 1.17 117%

0.2 20% 0.96 96%

0.05 5% 0.35 35%

0.78 78%

Fractions and Decimals 28 page 122

1. a. 25 children b. 5 children c. 30%

2. a. 12 people b. 25% c. 6 people

Fractions and Decimals 29 page 123

1. 8 children 2. 80% 3. 20%

4. 20% of £55 = £11. of £30 = £12 . So of £30 is more by £1.

24

100

30

100 1 10

2

10

3

4

1

4

1

4

3

4 7

8

1 3

4 6

17 20

9

10

9

10

2

17

100 1

17

100

1

5

24

25

1

20 7

20

39

50

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236

1

5

Ratio and Probability 1 page 124

A 1. The ratio is 2 red squares to every 3 yellow squares.

2. The ratio is 2 red squares to every 2 yellow squares.

B 1. 2 in 5 are red 2. 2 in 4 are red

Ratio and Probability 2 page 125

1. a. 1:3 b. 3 in 4 c. 4

2. a. 1:6 b. 4

3. a. 12 b. 1 in 6

4. a. 24 b. 1 in 3

Ratio and Probability 3 page 126

1. 1·75 × 6 = 10·5 litres of white paint.

2. a 1: 2 b. 1 in every 3 c. d. .

3. a 1: 4 b. 1 in every 5 c. d.

Ratio and Probability 4 page 127

1 out of 2 = = = 0·5 2. 5 out of 10 = = 0·5

3. 1 out of 10 = = 0.1 4. 4 out of 10 = = 0·4

5. 10 out of 10 = = 1

Ratio and Probability 5 page 128

1. equal chance 2. certain 3. good chance 4. impossible 5. biased

6. random 7. fifty-fifty chance 8. unlikely

Ratio and Probability 6 page 129

1. = 2. =

1

10

=-

1

2

=-

1 2

=- 4 10

=- 10

10

=-

2

3

1 2

1

4

3

9

=-

1

3

=-

4

20

=-

1

5

=-

Page 237: Year 6 Maths Worksheets

237

Ratio and Probability 7 page 130

0 0·5 1

evens

0 0·1 0·2 0·3 0·4 0·5 0·6 0·7 0·8 0·9

evens

Handling Data 1 page 131

A. 1. 1 2. 22 3. 100 4. 4 5. 8 6. 5

B. 1. 9-3=6 2. 24-7=17 3. 10-3=7 4. 55-24= 31

5. 455- 75= 380 6. 77-22=55 7. 207-202=5

Handling Data 2 page 132

A 1. 3,4,4,5,6,7,8 = 5 2. 1,2,5,6,7,8,9 =6 3. 1,2,5,7,7,8,9 =7

4. 2,6,8,11,12,14,15=11 5. 24, 35,67=35 6. 0,0,0,2,4,5,9 =2

B 1. 14 + 18 = 32 ÷ 2 = 16 2. 4+6=10 ÷ 2 = 5 3. 14 + 16 = 30 ÷2=15

4. 3+5=8÷2=4 5. 7+7=14÷2=7 6. 56+68= 124÷2=62

A die will roll

an even number. A die will roll a

six A die roll a

zero.

A die roll a

number.

A die roll a one

or two. A die will not

roll a 4.

A die will roll a

seven A die will roll a

number greater

than three.

A 6 will be

picked. A number from 5

to 9 will be

picked An odd number

will be picked

A 2 or 3 will be

picked.

A ten will be

picked. A 6,7, or 8 will be

picked.

A 2 will not be

picked.

A number above 3

will be picked.

impossible certain

1

certain impossible

Page 238: Year 6 Maths Worksheets

238

Handling Data 3 page 133

A. 1. 36÷6=6 2. 30÷6=5 3. 28÷7=4

4. 60÷6=10 5. 35÷7=5 6. 198÷3=66

7. 14÷7=2

B. 1. £4·50÷3=£1.50 2. £1·00÷4=25p 3. £5·70÷3=£1·90

4. £600÷3=£200 5. £9·60÷3 6. 60p÷4=15p

Handling Data 4 page 134

1. 32 2. 5 3. Only 1 Child scored 2

Data Handling 5 page 135

Type of Vehicle Number of Vehicles

Lorry 7

Bike 0

Car 15

Motor bike 4

Bus 2

2. Car 3. 28

Handling Data 6 page 136

1. 13 cm 2. 28 minutes 3. 15 minutes 4. 3:05 pm

Handling Data 7 page 137

1. a. At Valley Junior school 50 pupils walk.

b. At Star Primary school 90 pupils walk.

2. At Valley Junior school about one third of the pupils catch the bus this is around

66 pupils. At Star Primary school about a quarter of the pupils catch the bus this

is around 90 pupils. So more children catch the bus to Star Primary School.

Handling Data 8 page 138

1. 8 children 2. 12 children 3. 12 children 4. 4 children

Handling Data 9 page 139

a. 14 b. 32 c. 10 d. 30 e. 48 f. 22 g. 46 h. 26

Handling Data 10 page 140

a. 15 b. 6.5 c. 51 d. 27 e. 7.5 f. 63 g. 9 h. 39

Page 239: Year 6 Maths Worksheets

239

Handling Data 11 page 141

a. 12 b. 5.5 c. 60 d. 76 e. 11.5 f. 100 g. 44 h. 12

Handling Data 12 page 142

1. 20 km 2. 25 km 3. 5 minutes 4. 20 km 5. 75 minutes

Handling Data 13 page 143

10 20 30 40 50 60 70

Time in minutes 1. 20 km 2. 30 km 3. 10km 4. 1km

Handling Data 14 check page 144

1. 40 litres 2. 80 litres 3. 45 litres 4. 130 litres

5. 9 gallons 6. 20 gallons 7. 31.5 gallons 8. 16 gallons

Gallons Litres(l)

0 0

2 9

4 18

6 27

8 36

10 45

Shape 1 page 145

1. AB and DC

2. Includes BC and DC or CF and EF or AB and BC or DC and AD or GE and EF

3. CF 4. AD or BC 5. 5 6. 24 7. 9

10

20

30

40

50

0

Distance from Jute

in kilometres

×

×

× 80

×

× ×

×

60

70

Page 240: Year 6 Maths Worksheets

240

Shape 2 page 146

1. × 2. × 3 × 4. √ 5. √ 6. × 7. √ 8. √

Shape 3 page 147

Four parallelograms such as the ones below.

Four rhombi such as the ones below.

Page 241: Year 6 Maths Worksheets

241

Shape 4 page 148

Draw 4 different trapezia such as the ones below.

. 4 different kites such as the ones below.

Page 242: Year 6 Maths Worksheets

242

Shape 5 page 149

rectangle square √

parallelogram traprzium √

kite √

rhombus √

Page 243: Year 6 Maths Worksheets

243

Shape 6 page 150

1. b 2. c 3. a 4. d 5.

6.

Shape 7 page 151

1.

Mirror line

Mirror line

Page 244: Year 6 Maths Worksheets

244

2.

Shape 8 page 152

A (-4,2) B(1,2) C(1,-1) D(-4,-1)

5

4

B

A

3

2

1

-8 -7 -6 -5 -4 -3 -2 -1

1

1 2 3 4 5 6 7 8

-2

D

- 3

C

-4

0 0

Mirror line

Page 245: Year 6 Maths Worksheets

245

Shape 9 page 153

Shape A has been translated 5 to the right, then 2 up.

Shape C has been translated 7 places to the left, then 1 down.

Shape 10 page 154

A square, rotated and translated B right-angle triangle, translated

C pentagon, rotated and translated D right-angle triangle, rotated and translated

E right-angle triangle, translated F Hexagon, rotated

Shape 11 page 155

( 0 , -3 ) ( -3 ,0 ) ( 0 , 3)

( 3, -2 ) ( -2 , -3) ( -3 , 2)

Shape 12 page 156

1. 30º 2. 65º 3. 50º 4. 125º 5. 37 º 63 º 80 º = 180º

6. 21º 54º 105º = 180º

Shape 13 page 157

acute right obtuse straight reflex

27º 90º 105º 180º 270º

11º 145º 310º

89º 125º 190º

256º

13. right angle 14. obtuse 15. acute 16. obtuse

Shape 14 page 158

1. 270º 2. 136º 3. 102º 4. 49º 5. 138 6. 18º

Shape 15 page 159

1. A 36º B 108 º C 36 º 2. D 100º E 34 º F 46 º

3. G 58 º H 45 º I 77 º

Shape 16 page 160

1. 2 × (7+5)cm 2×12cm=24cm 2. 2 × (16+4)cm 2×20cm=40cm

3. 2 × (23+28)cm 2×51cm=102cm 4. 2 × (19+12)cm 2×31cm=62cm

6. 6m-4m=2m, 3m-2m=1m 2×(2+1)m = 6m

7. 5m-2·5m = 2·5m = 2×(2·5+2·5)m = 10m

Page 246: Year 6 Maths Worksheets

246

min

Shape 17 page 161

A. 14cm² B 17cm² C 17cm² D 147cm² E 252 cm² F 117 cm²

Shape 18 page 162

1. 190cm² 2. 600 cm²- 72cm²=528cm² 3. 135cm²-55cm²= 80cm²

4. 100cm- 12cm²-12cm²=76cm²

Shape 19 page 163

1. 375cm²-60cm²= 315 cm² 2. 187cm²² – 35cm²=152 cm²

3. 300cm² -20cm² =280 cm² 4. 416cm²-120cm²=296 cm²

Shape 20 page 164

A 6cm² B 18cm² ÷2= 9cm² C 24cm² ÷2= 12 cm² D 28cm² ÷2=14 cm²

E 40cm² ÷2=20 cm² F 120cm² ÷2= 60 cm²

Shape 21 page 165

A 27cm² B 33cm²

Shape 22 page 166

1. 11 blocks 2200cm² 2. 15 blocks 3000 cm²

Time 1 page 167

1. a. 35 minutes b. 1 hr 30 minutes c. 17:45 2. a. The monsters b. 2hrs 15

Time 2 page 168

1. 1:45 2. 20:41 3. 8:08 (20:08)

Time 3 page 169

1. 2 hours 2. 1 hr 30 min 3. 20 hours 4. Saturday 5. 39 hrs 30 min

Time 4 page 170

1. No she will be home at 7.20 pm

2. 3 × 25min = 75 min + 30 min = 1 hour 45 minutes

3. a. 35 minutes b. 2.35

Time 5 page 171

1. Bangkok 2. Rio de Janeiro 3. Los Angeles 4. 15 hours 5. 7 hours

Page 247: Year 6 Maths Worksheets

247

Measuring 1 page 172

1. 167m 2. 570m 3. 1289m 4. 7·823km 5. 5·834km

6. 5·6cm 7. 2·3cm 8. 160cm 9. 270cm 10. 0·0085km

11. 1950mm 12. 3380mm 13. 456mm 14. 0·00064km 15. 0·00894km

Measuring 2 page 173

a. 5miles b. 10miles c. 12miles d. 19miles e. 27km f. 38km

g. 24km h. 5km

Measuring 3 page 174

1. 0·32m 2. 42·1km 3. 273·6cm 4. 30 5. 50cm 6 2·7m

7. 2·3m

Measuring 4 page 175

A. 7 kg 345g = 6345g B. 4kg 869g = 4869g C. 6kg 88g= 6088g

D. 5 kg 613g = 5613g

A. 6g B. 60g C. 6000g D. 600g

A 7·3 kg B. 4·9 kg C. 6·1 kg E. 5·5kg

The difference between A and C = 1·258kg

The difference between B and D = 0·744kg

Measuring 5 page 176

a. 200g b. 450g c. 280g d. 110g e. 4oz f. 5oz

g. 19oz h. 11oz

Measuring 6 page 177

1. 700g × 30 = 21000g = 21kg. 21÷5 = 4·2 Answer 5 journeys. 2. 5000 ÷ 120 = 41.66 Answer she can carry 41 paperbacks.

3. 11 × 230g = 2·53kg 10 × 190g = 1.90kg 17 × 350g = 5·95kg Total = 10·38kg

4. Hardbacks 10.38kg + paperbacks 5·04kg + encyclopaedias 21kg = 36·42 kg

36·42 – 30 kg = 6·42 Answer 2 journeys left.

Measuring 7 page 178

1. 2m × 2m × 2m = 8m³=8 tonnes 2. 6m × 2m × 2m = 24m³=24tonnes

3. 10m × 5m × 1m = 50m³=50tonnes 4. 4m × 2m × 1m = 8m³ × 1000 = 8000 kg³

5. 6m × 8m ×2m = 96m³ × 1000 = 96000 kg³

Money 1 page 179

1. 24050 rupees 2. 15020 yen 3. 357euro 4. 382·5 franc 5. $621

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248

Money 2 page 180

1. 580 euro 2. $ 875 3. 5414 ringitt 4. 10129 peso

5. 1400krone 6. $474

Money 3 page 181

Country Exchange

rate May

Exchange

rate July

or Difference between

changing £100 in

May or July

Best

time to

travel

Australia 1·69 1·79 0·10 $10 May

Denmark 12·67 12·9 0·23 23 krone May

India 50·34 51·26 0·92 92 ruppees May

Japan 157·78 157·77 0·01 1 yen July

South Africa 10·36 11·02 0·66 66 rand May

Thailand 54·01 53·78 0·23 23 baht July

Money 4 page 182

1. 45 ÷ 14 = £3.00 2. 144 ÷ 7 = £21 3. 132 ÷ 13 = £10

4. 93 ÷ 3 = £31 5. 152 ÷ 12 = £13 6. 14 ÷ 3 = £5

7. 100 ÷ 14 = £7 8. 122 ÷ 3 = £41

Money 5 page 183

1. £391 2. £378 3. £40 5. £133 6. £18·50

Money 6 page 184

1. £5·25 2. 44coins 3. a. £261 b. 125 hours

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249

Number Problems 1 page 185

1. factors of 18 multiples of 3

2. square numbers odd numbers

3. square numbers multiples of 2

Number Problems 2 page 186

1. 2.

Total =

Total = Total =

3. 4.

Total =

Total = Total =

36

16

1

48

3

32

4

4

1

16

16

2

8

64

12

144

9

4

23

28

22

27

21

17

89

71

113

47

29

101

59

5

24

26

20

25

72

512

1728

177

1 2

6

3

9 18 12 15

4 16 36

25

9

49 11 5 7

9

25

2 6 8 10 12 14

18 20

22 24 26 28 30

3 5 7 11 13

15 17 19 21

23 27 29

4 5 7 8 11

13 14 16 17

19 20

12

16

4

1

Page 250: Year 6 Maths Worksheets

250

5. 6.

Total = Total =

Number Problems 3 page 187

1. 2.

3. 4.

5. 6.

Number Problems 4 page 188

1. 8 2. 15 3. 2 4. 5 5. 11 6. 2 7. 17 8. 99

9. ÷ + × 10. × - + 11. ÷ + × 12. ( + ) × 13. × - × 14. ÷ × -

28

49

98

2

2

12

36

3

4

18

9

1

14

196

4

7

1

2744

6

216

92610

735

126

6

21

35

7

5

3

2

6

5

2

4

30

10

8

80

300

24000

216000

300

720

24

30

10

5

2

6

4

6

3

9

2

18

27

18

486

486

236196

1728000

960

1800

45

40

24

8

3

5

9

7

6

3

5

42

18

15

270

756

204120

Page 251: Year 6 Maths Worksheets

251

Number Problems 5 page 189

1. a. 4 boxes b. 768 2. a. £22·01 b. £4·90 c. £67·95

Number Problems 6 page 190

1. a. 940 marbles b. 20 boxes c. 94000

2. a. 160 cakes b. 100 packs c. £17·40

Number Problems 7 page 191

1. a. 28 b. £15·40 c. 84 bottles

2. a. 17p b. £20·40 c. 68p

Number Problems 8 page 192

1. a. £300·75 - £48·45 = £252 ÷ 36 = 7 hours.

b. £1260 ÷ 36 = 35 hours.

c. 21 × £36 = £756 + £246 = £1002

2. a. 300 balls b. 1% = 12 12 × 42 = 504 balls

Number Problems 9 page 193

1. a. 28p b. 18p c. £11·20

2. a. £5- £3·20 = £1·80 ÷ 4 = 45p b. £4·50 c. £2·70 ÷,45 = 6 pears

Number Problems 10 page 194

1. 870 ÷145 = 6 visits 2. a. Sofia b. 4 seconds

Number Problems 11 page 195

1. 45 2. 36 3. 56 4. 49

Number Problems 12 page 196

1. a. 5 7 11 23 13 b. 7 + 13 = 20 2. a. 4 9 16 25 b. 16-9=7

Number Problems 13 page 197

1. a. 64 2 4 1 16 8 32 b. 16 × 4 = 64

2. a. 1 2 4 5 6 8 9 10 12 15 18 30 36 40 45 60 72 90 120 180 360

b. 180-72=108

Number Problems 14 page 198

1. a. -7ºc b. 3ºc 2. a. -3ºc b. 8ºc

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252

Number Problems 15 page 199

1. a=4 2. b=1 3. c=5 4. d=7 5. e=15 6. g=2 7. h=6

8. i = 2 j=3 or i = 4 j = 6 or i = 6 j = 9

9. k= 32 10. l=9 11. m=8 12. n =14 13. o= 6 14. p=17

Number Problems 16 page 200

1. a = 3 2. b = 2 3. c = 4 4. d = 7 5. e = 5 6. f = 3 7. g = 6 8. h =9

9. j = 1 k = 3 or j = 2 k = 1 10. m = 2 n = 1 or m = 4 n = 7

11. p = 1 r = 5 12. s = 4 t = 6

Number Problems 17 page 201

1. False 2. True 3. True 4. False 5. True 6. True 7. False

Number Problems 18 page 202

1. ÷ 2. ˂ 3. × 4. - 5. ÷ 6. = 7. ÷ 8. + 9. ˃ 10. +

11. × 12. ÷ 13. - 14. ×