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Maths TopicsHomework Sheets

for Year 5

Version 1.0

by

Brian Taylor

Maths Topics: Year 5 Homework © Maths Topics 2018

Introduc�onWelcome to the Maths Topics Homework Sheets for Year 5 PDF book, a resource designed to cover your en�re maths homework requirement for Year 5.

This prac�cal learning tool includes 40 double-sided homework sheets, covering topics on the Year 5 Na�onal Curriculum. We recommend one homework sheet to be set each week, with any remaining sheets to be set as holiday homework.

As the year progresses, pupils could put their completed sheets into a homework file or folder, hence providing a full homework record for every pupil in your Year 5 class.

Alterna�vely, the PDF book could be printed out and stapled or ring-bound to make a complete book for each pupil.

The sheets can be tackled in any order depending upon your own scheme of work for Year 5. They appear in this book broadly in the order in which the topics are listed in the Na�onal Curriculum.

Answers are also provided in the form of fully filled-in sheets. This should make marking easy and also allows for the relevant page to be projected onto a screen in your classroom to allow for peer marking.

We hope that your pupils enjoy and benefit from the material in this book.

Details of our other fantas�c mathema�cs resources can be foundon our website:

www.mentalstarters.co.uk

© Maths Topics 2018. All Rights Reserved.

The resources in this book may only be used by the school or individual who have purchased the book for their own classes only. Schools may store this document on their computer network as long as this is in an area which

can be accessed by school staff only.It may not be passed on to others or placed on any public-accessible networks.

Reproduc�on of the pages in this book for use is allowed for use with your classes. Our logo and copyright statement must remain on all pages but the pages may be copied in black and white.


Topic Contents1. Reading, Wri�ng and Ordering Numbers2. Coun�ng Forwards and Backwards3. Rounding Numbers and Solving Problems4. Roman Numerals5. Adding Whole Numbers6. Subtrac�ng Whole Numbers7. Rounding and Various Problems8. Mul�ples, Factors and Common Factors9. Prime Numbers10. Mul�plying by a Single Digit11. Mul�plying by a Two-Digit Number12. Dividing Numbers13. Mul�plying and Dividing by 10, 100, 100014. Square and Cube Numbers15. Solving Problems using Mul�plying and Dividing16. Solving Problems using Opera�ons17. Comparing and Ordering Frac�ons18. Equivalent Frac�ons19. Mixed Numbers and Improper Frac�ons 20. Adding and Subtrac�ng Frac�ons21. Mul�plying Frac�ons by Whole Numbers22. Wri�ng Decimals as Frac�ons23. Looking at 1000ths

24. Rounding Decimals25. Ordering and Comparing Decimals26. Solving Problems using Decimals27. Wri�ng Percentages as Frac�ons and Decimals28. Solving Percentage and Frac�on Problems29. Conver�ng Metric Units30. Equivalence between Metric and Imperial Units31. Perimeter of Rec�linear Shapes32. Area of Rectangles and Es�ma�ng Areas33. Conver�ng between Units of Time34. Solving Problems involving Measures35. Iden�fying 3D Shapes36. Drawing and Measuring Angles37. Calcula�ng with Angles38. Reflec�ons and Transla�ons39. Line Graph Problems40. Reading Informa�on in Tables

Answer sheets follow the ques�on sheets.


Date:

Name:

Teacher:

Maths Homeworkthis week is about:

Year

5

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(1) Write each of the numbers below in words.

Reading, Wri�ng and Ordering Numbers

(2) Write each of these numbers in digits.

1a

99(a)

487(c)

278(b)

1 234 7 912(f)

2 046(e)(d)

420 306(i)

23 032(h)

10 043(g)

(a)

Eighty three

(b)

Ninety five

(c)

One hundred and five

(d)

Six hundred and forty eight

(g)

Three thousand, two hundred

and five

(e)

Eight hundred and thirty seven

(f)

One thousand, nine hundred

and twenty six

(h)

Seven thousand, three hundred

and sixteen

(i)

Twelve thousand, four hundred

and twenty eight


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1b

(3) Write the biggest number from each list in the box.

(e)

(d)

(c)

(b)

(a)

(5) Write each set of numbers in order in the columns, star�ng with the lowest number.

(j)

45 677(i)

(h)

92 813(g)

(f)

7 456(e)

(d)

129(c)

(b)

795

882 049

63 754

1 324

5 481

366

(a)

Number

325

Value of Underlined Digit

20eg:

868 886 879 897 896

938 983 979 978 937

10 999 11 197 10 799 11 797 11 779

21 864 20 846 23 021 21 201 22 648

16 724 16 472 16 742 16 247 16 274

(4) For each of these numbers, give the value of the underlined digit.

(e)

1 4291 4281 674

1 563 1 575

(d)

3 9993 8973 998

3 978 3 987

(c)

1 1941 4091 027

1 068 397

(b)

463592588

597 489

(a)

343209337

217 238


Date:

Name:

Teacher:


Year

5

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For each ques�on, add the numbers, showing your working.

AddingWhole Numbers

5a

8 82 3 6 0

+(11) 6

4 8 5 3 66 1 2 5

+(12) 2

9 3 8

5 36 4 5 4

+(10) 5

8 9 22 83 4 3 9

+(9) 1

2 6 8

2 63 7 8 1

+(7) 9

7 4 4 7 54 3 8 8

+(8) 2

8 1 7

9 56 9 7 1

+(6) 2

4 9 88 54 3 6 4

+(5) 8

1 9 2

3 31 7 6 3

+(3) 5

2 6 2

3

6 31 7 7 3

+(4) 3

2 5 6

70 9 5 2

+(2) 3

4 2 05 33 1 4 2

+(1) 2

6 1 7


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5b

1 6+

(22)

2 7 9 13 8 0 3

2 4 6 31

3 1+

(21)

2 5 2 41 2 6 4

0 4 3 32

7 7+

(26)

8 8 8 88 7 7 7

9 9 9 99

2 6+

(25)

3 2 3 22 6 4 6

0 8 0 98

3 1+

(24)

1 6 5 78 2 9 1

2 1 6 34

4 4+

(23)

4 8 9 26 3 6 2

2 1 4 63

1 56 4 9 8

+(20) 34

1 9 5 46 66 3 2 3

+(19) 91

7 8 4 2

8 43 5 8 7

+(18) 82

6 9 2 60 88 6 9 1

+(17) 72

4 1 9 3

4 76 4 3 4

+(16) 71

5 2 9 35 64 7 7 5

+(15) 82

1 6 3 8

7 22 2 1 2

+(14) 67

1 3 3 42 33 1 4 5

+(13) 62

3 2 4 7


Date:

Name:

Teacher:


Year

5

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Subtrac�ngWhole Numbers

6a

For each ques�on, subtract the numbers, showing your working.

1 57 6 2

-(3)

42 68 5 7

-(2)

42 56 3 7

-(1)

2

6 88 9 3

-(4)

8 76 2 3

-(6)

48 19 5 6

-(5)

24

1 49 5 3 6

4 22 8 6 5

-(9)

1 33 08 2 6 4

-(8)

5 1-(7)

5 2

0 98

9 89 3 0 5

-(12)

6 76 27 3 4 8

-(11)

4 57 6

-(10)

5 4

6 39 3 9 1

-(15)

7 53 59 2 4 8

-(14)

6 25 18 4 6 2

-(13)

6 9


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2 16 1 5 3

-(16)

1 5 02

1 26 5 8 7

-(17)

1 5 14

1 14 7 3 8

-(18)

4 2 29

4 34 1 6 5

-(22)

3 8 28

4 62 6 3 0

-(23)

2 1 74

8 54 6 9 3

-(24)

3 7 28

6b

9 22

4 28 4 9 3

-(21)

5 1 66

9 83 8 6 2

-(20)

1 7 54

9 2 9

-(19)

2 9 29

6 56 8

4 1 8 24 1

-(26) 25

2 72 9

5 3 1 53 4

-(25) 6 8

8 54 6

6 2 9 32 7

-(28) 3 8

9 79 4

2 6 8 48 3

-(27) 27

3 14 6

2 9 4 63 8

-(30) 2 7

7 24 7

1 6 8 42 5

-(29) 69


Date:

Name:

Teacher:


Year

5

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Mul�ples, Factors and Common Factors

8a

(2) Circle the numbers in each box which are mul�ples of the number in the star.

(1) Give the next five mul�ples of each of these numbers.

(f) 20(g) 50(h) 75(i) 80(j) 90

(e) 15

(d) 12

(c) 8

(b) 5

(a) 3

(a)

50

4236

22 24

52

(e)

35

21 27

6357

49

27

6345

3529

20

225180

135

5642

4035

21 28

100

80 90

140120

10090

60 80

9590

7570

45 50

9072

5845

27 3618

4 (b)

(f) 25

7 (c)

(g) 40

9

(h) 45

(d) 14


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Not for actual use(4) Use your answers to ques�on 3 to help you find the common factors of each of these pairs of numbers.

(f)

(e)

(d)

(c)

(b)

40 and 45

8 and 12

6 and 8

40 and 60

18 and 24

6 and 12

(a)

(3) Give all the factor pairs for each of these numbers:

(d) Factors of

14

(c) Factors of

12

(b) Factors of

8

(a) Factors of

6

(h) Factors of

36

(g) Factors of

24

(f) Factors of

18

(e) Factors of

15

(l) Factors of

90

(k) Factors of

60

(j) Factors of

45

(i) Factors of

40

8b


Date:

Name:

Teacher:


Year

5

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Mul�plying by aSingle Digit

10a

Find the answer to each mul�plica�on ques�on.

68 6

5

96 5 7

×(12)

75 7 4

×(11)

85 2 9

×(10)

7 8×

(9)

34 6×

(8)

46 3×

(7)

53 8 5

×(15)

44 7 8

×(14)7

×(13)

8

72 7×

(6)

89 2×

(5)

66 8×

(4)

4 4×

(3)

95 2×

(2)

78 6×

(1)

79 9 3

×(18)

36 8 4

×(17)

83 5 9

×(16)


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10b

3

88 9 6 6

×(27)

69 3 7 8

×(26)

95 6 4 3

×(25)

71 2 6 7

×(24)

54 5 3 2

×(23)

24 8 5 9

×(22)

2 7 3 2×

(21)

79 8 1 4

×(20)

43 6 9 5

×(19)

(28) A pupil said that 243 × 9 is the same value as 729 × 3. Work out each of these mul�plica�ons to see whether or not the pupil is correct.

92 4 3

× 37 2 9

×

51 2

41 5 6 0

×4 8×

(29) A second pupil said that 1248 × 5 is the same value as 1560 × 4. Work out each of these mul�plica�ons to see whether or not the pupil is correct.

62

26 5 4 3

×3 4 5

×

(30) A third pupil said that 2345 × 6 is the same value as 6543 × 2. Work out each of these mul�plica�ons to see whether or not the pupil is correct.


Date:

Name:

Teacher:


Year

5

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For each diagram, say what percentage is shaded and then write each one as a frac�on of 100, and as a decimal.

Wri�ng Percentages asFrac�ons and Decimals

27a

(1)

(2)

(3)

(4)

(5)

(6) Percentage: Frac�on:

Decimal:Frac�on:

Percentage: Frac�on:

Decimal:Frac�on:


Decimal:Frac�on:Percentage:

Decimal:

Percentage:

Decimal:

Percentage:

Decimal:


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27b

(14) Decimal:Frac�on:Percentage:









Date:

Name:

Teacher:


Year

5

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Conver�ng Metric Units

29a

(1) Fill in the missing lengths for each ques�on.1000 m = 1 km=

= kmm5000(b)

kmm2000(a)

==== km6.2m(i)

kmm700(g)

kmm6500(e)

km3.5m(c) ==== km9.6m(j)

kmm830(h)

km1.25m(f)

km4.5m(d)

(2) Fill in the missing lengths for each ques�on.100 cm = 1 m=

= m9cm(b)

mcm300(a)

==== mcm562(i)

m2.27cm(g)

m4.7

== cm11mm(b)

cmmm80(a)

==== cmmm12.5(i)

cm8.2mm(g)

cmmm4(e)

cm126mm(c)

cm(e)

mcm550(c) ==== mcm775(j)

m3.04cm(h)

mcm146(f)

m6.3cm(d)

(3) Fill in the missing lengths for each ques�on.10 mm = 1 cm

==== cm3.72mm(j)

cmmm120(h)

cm6.6mm(f)

cmmm39(d)

(4) Fill in the missing lengths for each ques�on.

== m6.8cm(c)

kmm300(a)

== kmm10(g)

cmmm93(e) == mcm800(h)

cm0.03mm(f)

== km8.08m(d)

mcm1290(b)


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== kg0.9g(b)

kgg6000(a)

==== kgg12700(i)

kg2.41g(g)

kgg8070(e)

kg1.3g(c)

(5) Fill in the missing weights.

==== kgg1990(j)

kgg6200(h)

kg0.3g(f)

kgg11000(d)

== g14000kg(b)

gkg7(a)

==== gkg19.3(i)

g2620kg(g)

gkg2.4(e)

gkg0.1(c)

(6) Fill in the missing weights.

==== gkg5.02(j)

gkg7.74(h)

g3500kg(f)

gkg0.6(d)

== mll8(b)

mll3(a)

==== ml39010l(i)

mll6.21(g)

mll0.8(e)

ml4700l(c)

(8) Fill in the missing volumes.

==== mll42.76(j)

ml9810l(h)

ml2800l(f)

mll0.7(d)

== lml17000(b)

l9ml(a)

==== lml21100(i)

l3.35ml(g)

lml8100(e)

l0.2ml(c)

(7) Fill in the missing volumes.

1000 g = 1 kg

1000 g = 1 kg

1000 ml = 1 litre (l)

1000 ml = 1 litre (l)

==== l8.01ml(j)

lml4760(h)

lml9600(f)

l0.5ml(d)

29b


Date:

Name:

Teacher:


Year

5

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For the ques�ons here, use the approximate conec�ons between the metric and imperial unitsto find your answers.

Equivalence betweenMetric and Imperial

Units

30a

Length

Weight

Capacity 1 litre (l) is about 1.75 pints (pt)

1 kilogram (kg) is about 2.2 pounds (lb)

1 inch (in) is about 2.5 cen�metres (cm)

(1) Fill in the missing values on this ruler.

incm

0 2.5

0 1 6

(2) Fill in the missing values in this table.

Inches Cen�metres

8

(j)

(i)

(h)

(g)

(f)

(e)

(d)

(c)

(b)

25

7

2016

30

62

27.5

55100

(a)


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15 kg12 kg10 kg8 kg5 kg2 kg

(a)

lb

(b)

lb

(c)

lb

(d)

lb

(e)

lb

(f)

lb

30b

66 lb

(f)

kg

0.5 kg

(f)

lb

55 lb

(e)

kg

0.8 kg

(d)

lb

3.3 lb

(c)

kg

24.2 lb

(b)

kg

7 kg

(a)

lb

(5) Find the missing values under each of these weights.

39.6 lb

(e)

kg

19.8 lb

(d)

kg

13.2 lb

(c)

kg

8.8 lb

(b)

kg

6.6 lb

(a)

kg

(4) For each of these weights, give their approximate value in kilograms (kg).

3

6

89

(3) For each of these weights, give their approximate value in pounds (lb).

(6) Fill in the missing values in this table to convert litres into pints.

Litres Pints

2

(j)

(i)

(h)

(g)

(f)

(e)

(d)

(c)

(b)

1

45

7

10

(a)

11(l)

(k)

12


Date:

Name:

Teacher:


Year

5

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Solving Problems involving Measures

34a

(1) Four children shared £30.00 equally. How much did they each receive?

(2) A tree was 1.25 m tall. If it grew by another 0.36 m, what was the new height?

(4) Six small cakes each weigh 125 g. How much do they weigh altogether?

(6) Find the total of these three weights.

(7) A length of wood was 236 cm long. If 152 cm was cut off, what length of wood was le�?

(5) Helen saved £1.60 per week for 5 weeks. How much money did she save altogether?

(3) A bo�le of lemonade contained 2000 ml. If Sue took 326 ml from the bo�le, how much lemonade was le�?

Total weight:

Length le�:

Total weight:

Total amount saved:

New height:

Amount of lemonade le�:

Amount each:

375 g192 g238 g


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34b

(8) Sam decided to lose some weight. His star�ng weight was 96.5 kg, and he lost 17.3 kg. What was his new weight?

(9) A shopper bought three items with the following prices: £1.36, £2.79 and £4.63. What was the total cost of these items?

(11) How many ml of milk is there altogether in 8 cartons which each contain 240 ml?

(13) A 756 ml jug of water is divided exactly into 6 glasses. How many ml of water is in each glass?

(14) A pupil cut a length of string into 8 iden�cal lengths. If the string was originally 688 cm long, how long was each of the pieces?

(12) A computer was originally priced at £695. If it was reduced by £136 in a sale, what was the sale price?

Amount in each glass

Total amount of milk:

Total cost:

New weight:

Sale price:

Total length of ribbon:

Length of each piece:

(10) Rolls of ribbon each contain 135 cm of ribbon. How many cm of ribbon is there altogether on 6 of these rolls?

Maths TopicsHomework Sheets

for Year 5

Version 1.0

Answers

Date:


Answers

Teacher:


Year

5

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(1) Write each of the numbers below in words.

Reading, Wri�ng and Ordering Numbers

(2) Write each of these numbers in digits.

1a

99(a)

487(c)

278(b)

1 234 7 912(f)

2 046(e)(d)

420 306(i)

23 032(h)

10 043(g)

(a)

Eighty three

(b)

Ninety five

(c)

One hundred and five

(d)

Six hundred and forty eight

(g)

Three thousand, two hundred

and five

(e)

Eight hundred and thirty seven

(f)

One thousand, nine hundred

and twenty six

(h)

Seven thousand, three hundred

and sixteen

(i)

Twelve thousand, four hundred

and twenty eight

Ninety Nine Two hundred and seventy eight Four hundred and eighty seven

One thousand, two hundred and thirty four Two thousand and forty six Seven thousand, nine hundred

and twelve

Ten thousand and forty three Twenty three thousandand thirty two

Four hundred and twenty thousand, three hundred and six

648

105

1 926837

12 4287 3163 205

9583


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1b

(3) Write the biggest number from each list in the box.

(e)

(d)

(c)

(b)

(a)

(5) Write each set of numbers in order in the columns, star�ng with the lowest number.

(j)

45 677(i)

(h)

92 813(g)

(f)

7 456(e)

(d)

129(c)

(b)

795

882 049

63 754

1 324

5 481

366

(a)

Number

325

Value of Underlined Digit

20eg:

868 886 879 897 896

938 983 979 978 937

10 999 11 197 10 799 11 797 11 779

21 864 20 846 23 021 21 201 22 648

16 724 16 472 16 742 16 247 16 274

(4) For each of these numbers, give the value of the underlined digit.

(e)

1 4291 4281 674

1 563 1 575

(d)

3 9993 8973 998

3 978 3 987

(c)

1 1941 4091 027

1 068 397

(b)

463592588

597 489

(a)

16 742

11 797

897

23 021

983

800 000

3 000

1 000

5 000

6

40 000

90 000

400

20

700

1 4281 4291 5631 5751 674

3 8973 9783 9873 9983 999

3971 0271 0681 1941 409

463489588592597

209217238337343

343209337

217 238

Date:


Answers

Teacher:


Year

5

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Subtrac�ngWhole Numbers

6a

For each ques�on, subtract the numbers, showing your working.

1 57 6 2

-(3)

42 68 5 7

-(2)

42 56 3 7

-(1)

2

6 88 9 3

-(4)

8 76 2 3

-(6)

48 19 5 6

-(5)

24

1 49 5 3 6

4 22 8 6 5

-(9)

1 33 08 2 6 4

-(8)

5 1-(7)

5 2

0 98

9 89 3 0 5

-(12)

6 76 27 3 4 8

-(11)

4 57 6

-(10)

5 4

6 39 3 9 1

-(15)

7 53 59 2 4 8

-(14)

6 25 18 4 6 2

-(13)

6 91 8 2 8

8 1 8 1

3 0 1 31 5 1 1

7 1

5

3 4 74 3 14 1 2

1 3 6

5 1 1 1

6 7 5

8 1

4 2 5

8 1

1 5 2 33 1 3 44 3 2 2

2 5 0 7

8 2 9 1 1

2 7 8 6

6 2 1 1

3 3 1 7

1 1

1


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2 16 1 5 3

-(16)

1 5 02

1 26 5 8 7

-(17)

1 5 14

1 14 7 3 8

-(18)

4 2 29

4 34 1 6 5

-(22)

3 8 28

4 62 6 3 0

-(23)

2 1 74

8 54 6 9 3

-(24)

3 7 28

6b

9 22

4 28 4 9 3

-(21)

5 1 66

9 83 8 6 2

-(20)

1 7 54

9 2 9

-(19)

2 9 29

6 56 8

4 1 8 24 1

-(26) 25

2 72 9

5 3 1 53 4

-(25) 6 8

8 54 6

6 2 9 32 7

-(28) 3 8

9 79 4

2 6 8 48 3

-(27) 27

3 14 6

2 9 4 63 8

-(30) 2 7

7 24 7

1 6 8 42 5

-(29) 69

4 5 9 2 2

3 17 1

2 0 8 8 4

1 5 2 1 1 1

4 7 4 0 8

1 8 1 7

1 1 1 3 2 3 1 4 7 5 5 2 5 2 7

1 6 8 5 1

7 1

2 6 2 6 4

1 7 5 1 3 1

6 3 6 3 7

1 8 18

1 0 8 5 7 6

1 7 3 1 1 1

3 3 1 4 0 7

2 1

2 0 5 2 4 2

1 5 1 2

4 6 0 9 8 6

8 3 7 1 16 1 1

4 3 0 0 0 7

16

7 9 6 2 5 3

1 6 1 5 8 1

Date:


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Year

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Show your working in each of these division ques�ons.

Dividing Numbers

12a

(1) 94 ÷ 2 (2) 92 ÷ 4 (3) 93 ÷ 3

(4) 85 ÷ 5 (5) 91 ÷ 7 (6) 96 ÷ 6

(7) 76 ÷ 4 (8) 96 ÷ 8 (9) 78 ÷ 6

(10) 678 ÷ 3 (11) 845 ÷ 5

5 8 4 5

3 6 7 8

6 7

(12) 896 ÷ 7

7 8 9 6(13) 976 ÷ 8

8 9 7 6

8

(14) 876 ÷ 2

2 8 7 6(15) 948 ÷ 4

4 9 4 8

(18) 6468 ÷ 3 (19) 4599 ÷ 7

7 4 5

(16) 2844 ÷ 4 (17) 6144 ÷ 6

6 6 1 4 4 4 2 8 4 4

9 9

3 6 4 6 8

(20) 9360 ÷ 5 (21) 7408 ÷ 8

8 7 4 0 85 9 3 6 0

8 9 6

4 7 6

6 9 6

7 9 1

5 8 5

3 9 3

4 9 2

2 9 4

36 9

412 6

12

12 2

11

12 8

51

13 7

22 3 8

14

0 2 41 2

127 1 1

46 5 7

3 4 1 5 6

1 12

79 2 6

2 4

48 7 2

3 11

131

121

391

361

231

371

13132

174


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12b

These division ques�ons have remainders. Find the answer to each one.

(36) 5127 ÷ 4

(28) 766 ÷ 6

(22) 53 ÷ 3 (23) 76 ÷ 5

(24) 99 ÷ 7 (25) 67 ÷ 4

(37) 9136 ÷ 7

(38) 8927 ÷ 7 (39) 6935 ÷ 6

(40) 8384 ÷ 3 (41) 7595 ÷ 6

(30) 628 ÷ 5

(32) 978 ÷ 7

(29) 517 ÷ 3

(31) 967 ÷ 4

(33) 982 ÷ 4

(26) 89 ÷ 6 (27) 89 ÷ 5

(34) 927 ÷ 8 (35) 835 ÷ 6

6 8 3 5re:

8 9 2 7re:

5 8 9re:

6 8 9re:

4 9 8 2re:

4 9 6 7

re:

3 5 1 7

re:

7 9 7 8re:

5 6 2 8 re:

6 7 5 9 5 re:

3 8 3 8 4 re:

6 6 9 3 5

re:

7 8 9 2 7 re:

7 9 1 3 6

re:

4 6 7re:

7 9 9re:

5 7 6re:

3 5 3re:

6 7 6 6re:

4 5 1 2 7

re:

23 9

51 1

11 5

41 7

371 4

241 5

14 5

22 2

23 9

61 5

14 12 3

12 5

21 3

12 6 5

3 31 5

27 9 4

2 12 2

1 5 53 3

1 512 7 5

5 31 2

261 3

241 1

251 1

271 2

27 21 1

12 7

41 4

23 0 5

31 1

12 8 1

31 3

Date:


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Year

5

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Mul�plying and Dividingby 10, 100, 1000

13a

(1) Mul�plying by 10. Write the answer to each mul�plica�on in the box.

(o)



(o)

(m)

(p)

(n)

(l)

(j)

(h)

(f)

(d)

(b)

426.28

26.47

8.9

908

426.283

38.125

26.4

7.2

× 1000 =

× 1000 =

× 1000 =

× 1000 =

× 1000 =

× 1000 =

× 1000 =

× 1000 =

(k)

(i)

(g)

(e)

(c)

(a)

362

52

38

23

847

86

39

5

× 1000 =

× 1000 =

× 1000 =

× 1000 =

× 1000 =

× 1000 =

× 1000 =

× 1000 =

(o)

(m)

(p)

(n)

(l)

(j)

(h)

(f)

(d)

(b)

838.8

14.2

8.6

625

0.62

38.7

9.3

717

× 100 =

× 100 =

× 100 =

× 100 =

× 100 =

× 100 =

× 100 =

× 100 =

(k)

(i)

(g)

(e)

(c)

(a)

196

34

18

7

284

47

23

4

× 100 =

× 100 =

× 100 =

× 100 =

× 100 =

× 100 =

× 100 =

× 100 =

(m)

(p)

(n)

(l)

(j)

(h)

(f)

(d)

(b)

126.2

8.9

9 246

496

0.7

15.3

2.7

3 847

× 10 =

× 10 =

× 10 =

× 10 =

× 10 =

× 10 =

× 10 =

× 10 =

(k)

(i)

(g)

(e)

(c)

(a)

83

36

16

8

97

45

25

9

426 263

38 125

26 400

7 200

426 280

26 470

8 900

908 000

847 000

86 000

39 000

5 000

362 000

52 000

38 000

23 000

62

3 870

930

71 700

83 880

1 420

860

62 500

28 400

4 700

2 300

400

19 600

3 400

1 800

700

7

153

27

38 470

1 262

89

92 460

4 960

970

450

250

90

830

360

160

80

× 10 =

× 10 =

× 10 =

× 10 =

× 10 =

× 10 =

× 10 =

× 10 =


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13b

(4) Dividing by 10. Write the answer to each division in the box.

(o)



(o)

(m)

(p)

(n)

(l)

(j)

(h)

(f)

(d)

(b)

85

857

529

128

1.9

85.7

52

12

÷ 1000 =

÷ 1000 =

÷ 1000 =

÷ 1000 =

÷ 1000 =

÷ 1000 =

÷ 1000 =

÷ 1000 =

(k)

(i)

(g)

(e)

(c)

(a)

9 200

7 900

13 000

5 000

48 600

92 000

79 000

8 000

÷ 1000 =

÷ 1000 =

÷ 1000 =

÷ 1000 =

÷ 1000 =

÷ 1000 =

÷ 1000 =

÷ 1000 =

(o)

(m)

(p)

(n)

(l)

(j)

(h)

(f)

(d)

(b)

27

9.2

3.6

12

2.7

27.3

92

36

÷ 100 =

÷ 100 =

÷ 100 =

÷ 100 =

÷ 100 =

÷ 100 =

÷ 100 =

÷ 100 =

(k)

(i)

(g)

(e)

(c)

(a)

870

260

1 500

700

4 690

8 700

2 600

900

÷ 100 =

÷ 100 =

÷ 100 =

÷ 100 =

÷ 100 =

÷ 100 =

÷ 100 =

÷ 100 =

(m)

(p)

(n)

(l)

(j)

(h)

(f)

(d)

(b)

0.6

8.5

24.7

6 200

0.42

9.2

36.9

9 300

÷ 10 =

÷ 10 =

÷ 10 =

÷ 10 =

÷ 10 =

÷ 10 =

÷ 10 =

÷ 10 =

(k)

(i)

(g)

(e)

(c)

(a)

293

800

46

30

852

500

92

80

0.0019

0.0857

0.052

0.012

0.085

0.857

0.529

0.128

48.6

92

79

8

9.2

7.9

13

5

0.027

0.273

0.92

0.36

0.27

0.092

0.036

0.12

46.9

87

26

9

8.7

2.6

15

7

0.042

0.92

3.69

930

0.06

0.85

2.47

620

85.2

50

9.2

8

29.3

80

4.6

3

÷ 10 =

÷ 10 =

÷ 10 =

÷ 10 =

÷ 10 =

÷ 10 =

÷ 10 =

÷ 10 =

Date:


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Year

5

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Adding and Subtrac�ng Frac�ons

20a

(1) Add each of these pairs of frac�ons.

(2) Give the frac�on shaded in each diagram, then add the frac�ons, and shade the diagram to show your answer.

(3) Change to frac�ons with the same denominator, and then add each pair of frac�ons.

(c)

(b)

(a)

+

+

+

+

+

+

=

=

=

=

=

=

(a) 15

25

37

37

19

49+ =

(b)+ =

(c)+ =

14

210

58

57

314

(d)+ = + =

14

(b)+ = +

(d)

(g)

(j) 520

720

1625

325

318

518+ =

(k)+ =

(l)+ =

212

512

914

414

415

715+ =

(h)+ =

(i)+ =

410

310

38

28

311

611+ =

(e)+ =

(f)+ =

=

25

(c)+ = + =

12

(a)+ =

1113

813

313

1719

1119

619

1317

817

517

35

67

59

1220

1925

818

712

1314

1115

710

58

911

314

1014

1314

28

58

78

410

210

610

24

14

34+ =


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813

313

1113

917

517

1417

819

919

1719

37

49

411

1321

523

829

713

517

720

213

715

115

1314

1014

314

810

110

710

1524

724

824

1112

812

312

1621

1221

421

1518

718

818

3549

2049

1549

1422

522

922

20b

(4) Subtract each of these pairs of frac�ons.

(5) Give the frac�on shaded in each diagram, then subtract the frac�ons, and shade the diagram to show your answer.

(6) Change to frac�ons with the same denominator, and then subtract each pair of frac�ons.

(c)

(b)

(a)

-

-

-

-

-

-

=

=

=

=

=

=

(a) 27

57

49

89

611

1011- =

(b)- =

(c)- =

(d)

(g)

(j) 321

1621

1623

2123

1429

2229- =

(k)- =

(l)- =

513

1213

317

817

1220

1920- =

(h)- =

(i)- =

713

913

115

815

1315

1415- =

(e)- =

(f)- =

23

110

57

1314

(b)- = - =4

5(a)

- = - =

724

58

(d)- = - =11

12(c)

- = - =

718

47

1621

(f)- = - =5

6(e)

- = - =

522

2049

57

(h)- = - =7

11(g)

- = - =

Date:


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5

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611

45

1213

917

1217

815

45

611

1213

917

1217

815

(6) (a) Shade of this diagram. (b) Shade another of the diagram. (c) Shade yet another of the diagram. (d) Shade one more of the diagram. (e) What frac�on of the diagram is shaded? (f) Complete this statement:

(5) (a) Shade of this diagram. (b) Shade another of the diagram. (c) Shade yet another of the diagram. (d) What frac�on of the diagram is shaded? (e) Complete this statement:



(2) (a) Shade of this diagram. (b) Shade another of the diagram. (c) What frac�on of the diagram is shaded? (d) Complete this statement:

(1) (a) Shade of this diagram. (b) Shade another of the diagram. (c) What frac�on of the diagram is shaded? (d) Complete this statement:

Mul�plying Frac�ons by Whole Numbers

21a

× 2 = 311

× 2 =

25

25

311

25

311

× 3 = 413

413

413

413

× 3 = 317

317

317

317

× 3 = 417

417

417

417

× 4 = 215

215

215

215

215


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21b

(7) Find the answer to each of these mul�plica�ons.

(a)25

11

6437

(d)73

29

4317 59

77

9481× =

× =

(e)× =

(f)× =

(b)× =

(c)× =

21337

(g)59

53 41561× =

(h)× =

(i)× =

(8) For each of these mul�plica�ons, give your answer as an improper frac�on, then convert this to a mixed number.

(9) Mul�ply each mixed number by the whole number given. Give your answer as a mixed number.

(a)33

8 ×(b)

467 × = == =

(c)2

(d)55

8 × = =57 × = =

(e) (f)34

5 × = =635 × = =

(a) (b) 3× =1222× =1

22

(c) (d) 2× =2513× =1

41

(e) 3× (f) 6× =172=1

72

(g) (h) 8× =1924× =1

92

4577

3681

1217

1011

2129

2437

6061

4553

2637

247

3739

8181

258

18310

7371

125

25218

5353

1275

4523

43

67123

76

89164

98

Date:


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Year

5

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(3) Another set of money boxes contained these amounts:

Find the total amount in these boxes. (Show your working).

(1) In these number pyramids, the number in a box is found by adding the two numbers in the box underneath it. Fill in the missing boxes.

Solving Problems using Decimals

26a

(a) (b) (c)

(d) (e) (f)

(g) (h) (i)

(j) (k) (l)

2.31.2 1.6 4.51.1 3.2 2.95.4 4.5

4.92.6 7.8 4.21.6 3.7 2.75.3 5.7

1.84.3 6.5 1.73.8 6.6 2.61.2 4.5

6.32.4 7.9 5.53.4 3.3 6.83.9 5.4

(2) These were the amounts of money in four money boxes.

Find the total amount of money in all four boxes. (Show your working).

£8.40 £2.45 £3.65 £1.95

£6.35 £7.28 £4.96 £5.24

3.93.5

7.4

7.75.6

13.3

7.48.3

15.7

12.77.5

20.2

7.95.8

13.7

8.48.0

16.4

8.36.1

14.4

8.35.5

13.8

7.13.8

10.9

14.28.7

22.9

8.88.9

17.7

12.210.7

22.9

8 . 4 02 . 4 5

+ 3 . 6 51 . 9 5

1 6 . 4 52 1

6 . 3 57 . 2 8

+ 4 . 9 65 . 2 4

2 3 . 8 31 2

£16.45

£23.83


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(4) Some lengths of ribbon were each cut into three pieces with lengths as given. Find the original length of each piece of ribbon. Show your working.

26b

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h) 8.4 cm 9.8 cm 7.5 cm

2.9 cm 8.2 cm 9.7 cm

9.3 cm 4.2 cm 5.7 cm

8.6 cm 6.8 cm 4.3 cm

7.8 cm 3.7 cm 6.2 cm

5.9 cm 3.2 cm 6.8 cm

7.3 cm 6.4 cm 4.7 cm

8.2 cm 2.6 cm 3.7 cm

8 . 4+ 9 . 8

7 . 52 5 . 7

1 25.7 cm

2 . 9+ 8 . 2

9 . 72 0 . 8

1 20.8 cm

9 . 3+ 4 . 2

5 . 71 9 . 2

1 19.2 cm

8 . 6+ 6 . 8

4 . 31 9 . 7

1 19.7 cm

7 . 8+ 3 . 7

6 . 21 7 . 7

1 17.7 cm

5 . 9+ 3 . 2

6 . 81 5 . 9

1 15.9 cm

7 . 3+ 6 . 4

4 . 71 8 . 4

1 18.4 cm

8 . 2+ 2 . 6

3 . 71 4 . 5

1 14.5 cm

Date:


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Year

5

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For each diagram, say what percentage is shaded and then write each one as a frac�on of 100, and as a decimal.

Wri�ng Percentages asFrac�ons and Decimals

27a

(1)

(2)

(3)

(4)

(5)

(6) Percentage: Frac�on:

Decimal:Frac�on:


Decimal:Frac�on:


Decimal:Frac�on:Percentage:

Decimal:

Percentage:

Decimal:

Percentage:

Decimal:

0.3737100

37 %

49 % 49100

0.49

0.8989100

89 %

91 % 91100

0.91

0.033100

3 %

26% 26100

0.26


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27b









0.6262100

62 %

0.770100

70 %

0.077100

7 %

0.2222100

22 %

0.6666100

66 %

0.4141100

41%

0.8282100

82 %

0.3939100

39 %

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Year

5

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Solving Problems involving Measures

34a

(1) Four children shared £30.00 equally. How much did they each receive?

(2) A tree was 1.25 m tall. If it grew by another 0.36 m, what was the new height?

(4) Six small cakes each weigh 125 g. How much do they weigh altogether?

(6) Find the total of these three weights.

(7) A length of wood was 236 cm long. If 152 cm was cut off, what length of wood was le�?

(5) Helen saved £1.60 per week for 5 weeks. How much money did she save altogether?

(3) A bo�le of lemonade contained 2000 ml. If Sue took 326 ml from the bo�le, how much lemonade was le�?

Total weight:

Length le�:

Total weight:

Total amount saved:

New height:

Amount of lemonade le�:

Amount each:

375 g192 g238 g

84 cm

805 g

£8.00

750 g

1674 ml

1.61 m

£7.50

62 5

+1 6 1

1

310

.

.

.

20 0

-1 6 7

9

32

1 9

60

4

1

56 0×

0 03

1 .

8 .

59 2

+8 0 5

1

713

2

3 82

52 3

-0 8

1

11

26

4

62 5×

5 01

1

73

4 3 0 0 7 5

2

00

.

.3


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34b

(8) Sam decided to lose some weight. His star�ng weight was 96.5 kg, and he lost 17.3 kg. What was his new weight?

(9) A shopper bought three items with the following prices: £1.36, £2.79 and £4.63. What was the total cost of these items?

(11) How many ml of milk is there altogether in 8 cartons which each contain 240 ml?

(13) A 756 ml jug of water is divided exactly into 6 glasses. How many ml of water is in each glass?

(14) A pupil cut a length of string into 8 iden�cal lengths. If the string was originally 688 cm long, how long was each of the pieces?

(12) A computer was originally priced at £695. If it was reduced by £136 in a sale, what was the sale price?

Amount in each glass

Total amount of milk:

Total cost:

New weight:

Sale price:

Total length of ribbon:

Length of each piece:

(10) Rolls of ribbon each contain 135 cm of ribbon. How many cm of ribbon is there altogether on 6 of these rolls?

79.2 kg

£8.78

1920 ml

126 ml

£559

810 cm

86 cm

69 5

-5 5 9

8

361

1

6 7 5 612 6

3

1

8 6 8 868 6

4

36 5

-7 9 2

1

791

8

.

.

.

37 9

+8 7 8

1

624

.

.

.

3 61 .

1

63 5

×8 1 0

3

1

2

84 0

×9 2 0

1

2

3

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