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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.
Maths Topics: Year 5 Homework © Maths Topics 2018
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.
Maths Topics: Year 5 Homework © Maths Topics 2018
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
Maths Topics: Year 5 Homework © Maths Topics 2018
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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
Maths Topics: Year 5 Homework © Maths Topics 2018
Date:
Name:
Teacher:
Maths Homeworkthis week is about:
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
Maths Topics: Year 5 Homework © Maths Topics 2018
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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
Maths Topics: Year 5 Homework © Maths Topics 2018
Date:
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Teacher:
Maths Homeworkthis week is about:
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
Maths Topics: Year 5 Homework © Maths Topics 2018
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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
Maths Topics: Year 5 Homework © Maths Topics 2018
Date:
Name:
Teacher:
Maths Homeworkthis week is about:
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
Maths Topics: Year 5 Homework © Maths Topics 2018
Date:
Name:
Teacher:
Maths Homeworkthis week is about:
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.
Maths Topics: Year 5 Homework © Maths Topics 2018
Date:
Name:
Teacher:
Maths Homeworkthis week is about:
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:
Percentage: Frac�on:
Decimal:Frac�on:Percentage:
Decimal:
Percentage:
Decimal:
Percentage:
Decimal:
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27b
(14) Decimal:Frac�on:Percentage:
(13) Decimal:Frac�on:Percentage:
(12) Decimal:Frac�on:Percentage:
(11) Decimal:Frac�on:Percentage:
(10) Decimal:Frac�on:Percentage:
(9) Decimal:Frac�on:Percentage:
(8) Decimal:Frac�on:Percentage:
(7) Decimal:Frac�on:Percentage:
Maths Topics: Year 5 Homework © Maths Topics 2018
Date:
Name:
Teacher:
Maths Homeworkthis week is about:
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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)
Maths Topics: Year 5 Homework © Maths Topics 2018
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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
Maths Topics: Year 5 Homework © Maths Topics 2018
Date:
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Teacher:
Maths Homeworkthis week is about:
Year
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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)
Maths Topics: Year 5 Homework © Maths Topics 2018
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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
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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
Maths Topics: Year 5 Homework © Maths Topics 2018
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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:
Maths Topics: Year 5 Homework © Maths Topics 2018
Answers
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
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
Maths Topics: Year 5 Homework © Maths Topics 2018
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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:
Maths Topics: Year 5 Homework © Maths Topics 2018
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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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Maths Homeworkthis week is about:
Year
5
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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)
(2) Mul�plying by 100. Write the answer to each mul�plica�on in the box.
(3) Mul�plying by 1000. Write the answer to each mul�plica�on in the box.
(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)
(5) Dividing by 100. Write the answer to each division in the box.
(6) Dividing by 1000. Write the answer to each division in the box.
(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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Maths Homeworkthis week is about:
Year
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:
(4) (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:
(3) (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
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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:
Percentage: Frac�on:
Decimal:Frac�on:
Percentage: 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
(14) Decimal:Frac�on:Percentage:
(13) Decimal:Frac�on:Percentage:
(12) Decimal:Frac�on:Percentage:
(11) Decimal:Frac�on:Percentage:
(10) Decimal:Frac�on:Percentage:
(9) Decimal:Frac�on:Percentage:
(8) Decimal:Frac�on:Percentage:
(7) Decimal:Frac�on:Percentage:
0.6262100
62 %
0.770100
70 %
0.077100
7 %
0.2222100
22 %
0.6666100
66 %
0.4141100
41%
0.8282100
82 %
0.3939100
39 %
Date:
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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