25
Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes. 1 14 3 (10 3) ( 3) 6 52 8 ( 8) ( 8) 14 3 30 52 8 14 3 52 8 2 16 5 ( 5) (6 5) 7 36 4 ( 4) ( 4) 3 16 5 30 36 4 16 5 36 4 3 28 4 ( 4) ( 4) 8 23 9 ( 9) ( 9) 28 4 23 9 28 4 23 9 4 35 6 ( 6) ( 6) 9 49 5 ( 5) ( 5) 35 6 49 5 35 6 49 5 5 27 3 ( 3) ( 3) 10 26 7 ( 7) ( 7) 27 3 26 7 27 3 26 7 Work out mentally. 11 17 3 . . . . . . . 15 28 5 . . . . . . . 19 52 9 . . . . . . . 12 25 6 . . . . . . . 16 34 7 . . . . . . . 20 37 5 . . . . . . . 13 19 4 . . . . . . . 17 45 4 . . . . . . . 21 49 3 . . . . . . . 14 56 3 . . . . . . . 18 26 6 . . . . . . . 22 27 8 . . . . . . . Example 37 8 (30 8) (7 8) 240 56 296

Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

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Page 1: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 26: Multiplication By Partitioning

Y5

Complete by writing the missing numbers in the boxes.

●1 14 � 3 � (10 � 3) � ( � 3) ●6 52 � 8 � ( � 8) � ( � 8)

14 � 3 � 30 � 52 � 8 � �

14 � 3 � 52 � 8 �

●2 16 � 5 � ( � 5) � (6 � 5) ●7 36 � 4 � ( � 4) � ( � 4)

3 16 � 5 � � 30 36 � 4 � �

16 � 5 � 36 �4 �

●3 28 � 4 � ( � 4) � ( � 4) ●8 23 � 9 � ( � 9) � ( � 9)

28 � 4 � � 23 � 9 � �

28 � 4 � 23 � 9 �

●4 35 � 6 � ( � 6) � ( � 6) ●9 49 � 5 � ( � 5) � ( � 5)

35 � 6 � � 49 � 5 � �

35 � 6 � 49 � 5 �

●5 27 � 3 � ( � 3) � ( � 3) ●10 26 � 7 � ( � 7) � ( � 7)

27 � 3 � � 26 � 7 � �

27 � 3 � 26 � 7 �

Work out mentally.

●11 17 � 3 . . . . . . . ●15 28 � 5 . . . . . . . ●19 52 � 9 . . . . . . .

●12 25 � 6 . . . . . . . ●16 34 � 7 . . . . . . . ●20 37 � 5 . . . . . . .

●13 19 � 4 . . . . . . . ●17 45 � 4 . . . . . . . ●21 49 � 3 . . . . . . .

●14 56 � 3 . . . . . . . ●18 26 � 6 . . . . . . . ●22 27 � 8 . . . . . . .

Example 37 � 8 � (30 � 8) � (7 � 8)

� 240 � 56

� 296

04 Y5-Homework26-50 19/12/02 10:09 am Page 26

Page 2: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Complete by writing the missing numbers in the boxes.

Work out mentally.

●11 9 � 21 . . . . . . . ●15 26 � 21 . . . . . . . ●19 21 � 19 . . . . . . .

●12 12 � 21 . . . . . . . ●16 25 � 19 . . . . . . . ●20 22 � 21 . . . . . . .

●13 6 � 19 . . . . . . . ●17 15 � 21 . . . . . . . ●21 27 � 19 . . . . . . .

●14 11 � 19 . . . . . . . ●18 14 � 19 . . . . . . . ●22 28 � 21 . . . . . . .

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 27: Multiplying By 19 Or 21

Y5

Examples16 � 21 � (16 � 20) � (1 � 16) 16 � 19 � (16 � 20) � (16 � 1)16 � 21 � 320 � 16 16 � 19 � 320 � 1616 � 21 � 336 16 � 19 � 304

●1 13 � 21 � (13 � 20) � ( � 1) ●6 18 � 19 � ( � ) � ( � )

13 � 21 � 260 � 18 � 19 � �

13 � 21 � 18 � 19 �

●2 7 � 19 � ( � 20) � (7 � 1) ●7 25 � 21 � ( � ) � ( � )

3 7 � 19 � � 7 25 � 21 � �

7 � 19 � 25 � 21 �

●3 8 � 21 � ( � ) � ( � ) ●8 23 � 19 � ( � ) � ( � )

8 � 21 � � 23 � 19 � �

8 � 21 � 23 � 19 �

●4 15 � 19 � ( � ) � ( � ) ●9 29 � 21 � ( � ) � ( � )

15 � 19 � � 29 � 21 � �

15 � 19 � 29 � 21 �

●5 17 � 21 � ( � ) � ( � ) ●10 32 � 19 � ( � ) � ( � )

17 � 21 � � 32 � 19 � �

17 � 21 � 32 � 19 �

04 Y5-Homework26-50 19/12/02 10:09 am Page 27

Page 3: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 28: Doubling And Halving

Y5

Work out.

●1 43 � 2 . . . . . . . ●5 9200 � 2 . . . . . . . ●9 760 � 2 . . . . . . .

●2 65 � 2 . . . . . . . ●6 56 � 2 . . . . . . . ●10 67 � 2 . . . . . . .

●3 520 � 2 . . . . . . . ●7 690 � 2 . . . . . . . ●11 830 � 2 . . . . . . .

●4 770 � 2 . . . . . . . ●8 8400 � 2 . . . . . . . ●12 9500 � 2 . . . . . . .

●13 88 � 2 . . . . . . . ●17 13 400 � 2 . . . . . . . ●21 1760 � 2 . . . . . . .

●14 76 � 2 . . . . . . . ●18 186 � 2 . . . . . . . ●22 132 � 2 . . . . . . .

●15 122 � 2 . . . . . . . ●19 1920 � 2 . . . . . . . ●23 1440 � 2 . . . . . . .

●16 1680 � 2 . . . . . . . ●20 15 800 � 2 . . . . . . . ●24 19 800 � 2 . . . . . . .

●25 Work out the 18 times-table by doubling the 9 times-table.

Work out both problems. Use halving to solve the second problem of each pair.

●26 �31

� of 15 � ●27 �31

� of 210 � ●28 �31

� of 96 �

�61

� of 15 � �61

� of 210 � �61

� of 96 �

●29 �110� of 900 � ●30 �

110� of 150 � ●31 �

110� of 500 �

�210� of 900 � �

210� of 150 � �

210� of 500 �

Examples

Double 67 � (60 � 2) � (7 � 2) Half of 268 � (200 � 2) � (60 � 2) � (8 � 2)� 120 � 14 1 � 100 � 30 � 4� 134 � 134

NINES 9 18 27 36 45 54 63 72 81 90

EIGHTEENS 18

04 Y5-Homework26-50 19/12/02 10:09 am Page 28

Page 4: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Work out as in Example 1.

●1 ●5

●2 ●6

●3 ●7

●4 ●8

Work out as in Example 2.

●9 ●12

●10 ●13

●11 ●14

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 29: Informal Method For Multiplication

Y5

Example 1 235 � 8 Example 2 68 � 24

� 200 30 58 1600 240 40 � 1880

� 60 820 1200 160 1 3 6 04 240 32 � 2 7 2

68 � 24 � 1 6 3 2

� 100 50 36 600 300 18 � . . . . . . .

� 400 30 64 � . . . . . . .

� 300 20 75 � . . . . . . .

� 200 70 88 � . . . . . . .

� 600 40 92 � . . . . . . .

� 600 90 43 � . . . . . . .

� 500 60 59 � . . . . . . .

� 300 80 97 � . . . . . . .

� 40 620 800 120 . . . . .3 � . . . . .

46 � 23 �

920� 50 7

40 . . . . .7 � . . . . .

57 � 47 �

� 60 310 . . . . .9 � . . . . .

63 � 19 �

� 70 930 . . . . .5 � . . . . .

79 � 35 �

� 80 220 . . . . .6 � . . . . .

82 � 26 �

� 90 420 . . . . .8 � . . . . .

94 � 28 �

1

04 Y5-Homework26-50 19/12/02 10:09 am Page 29

Page 5: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Work out.

●1 1 7 6 ●7 2 5 4 ●13 2 5 9 ●19 4 2 8� 2 � 9 � 8 � 7

●2 2 9 7 ●8 3 76 ●14 6 4 8 ●20 2 5 9� 3 � 5 � 2 � 5

●3 3 6 4 ●9 1 3 2 ●15 2 6 5 ●21 3 6 8� 5 � 8 � 7 � 4

●4 2 5 3 ●10 2 4 7 ●16 3 3 7 ●22 4 8 3� 6 � 4 � 6 � 6

●5 4 3 9 ●11 3 5 3 ●17 4 5 8 ●23 3 3 7� 4 � 7 � 3 � 9

●6 5 4 2 ●12 1 6 4 ●18 1 2 6 ●24 3 4 6� 7 � 6 � 9 � 8

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 30: Standard Method for Multiplication

Y5

Examples

1 6 4 2 7 3

� 6 � 8

9 8 4 2 1 8 43 2 5 2

Work from the rightand carry.

04 Y5-Homework26-50 19/12/02 10:09 am Page 30

Page 6: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Work out.

●1 3 6 ●5 8 6 ●9 74� 1 4 � 1 7 � 2 6

. . . . . . (36 � 10) . . . . . . . . . . . .(36 � 4)

●2 6 4 ●6 5 9 ●10 9 2� 2 3 � 2 5 � 1 9

. . . . . . (64 � 20) . . . . . . . . . . . .(64 � 3)

●3 7 5 ●7 6 7 ●11 4 8� 1 8 � 5 6 � 4 3

. . . . . . (75 � 10) . . . . . . . . . . . .(75 � 8)

●4 4 8 ●8 5 3 ●12 6 9� 3 2 � 3 9 � 2 4

. . . . . . (48 � 30) . . . . . . . . . . . .(48 � 2)

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 31: Long Multiplication

Y5

Examples45 45

� 17 � 36450 (45 � 10) 1350 (45 � 30)

315 (45 � 7) 270 (45 � 6)

765 16201

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Page 7: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Complete by writing the missing numbers.

●1 8·0 � 2 � . . . . . . . ●5 8·0 � 4 � . . . . . . . ●9 5·0 � 6 � . . . . . . .

0·5 � 2 � . . . . . . . 0·2 � 4 � . . . . . . . 0·8 � 6 � . . . . . . .

8·5 � 2 � 8·2 � 4 � 5·8 � 6 �

●2 4·0 � 5 � . . . . . . . ●6 3·0 � 8 � . . . . . . . ●10 7·0 � 5 � . . . . . . .

0·9 � 5 � . . . . . . . 0·5 � 8 � . . . . . . . 0·3 � 5 � . . . . . . .

4·9 � 5 � 3·5 � 8 � 7·3 � 5 �

●3 9·0 � 3 � . . . . . . . ●7 9·0 � 7 � . . . . . . . ●11 6·0 � 8 � . . . . . . .

0·6 � 3 � . . . . . . . 0·4 � 7 � . . . . . . . 0·9 � 8 � . . . . . . .

9·6 � 3 � 9·4 � 7 � 6·9 � 8 �

●4 3·0 � 6 � . . . . . . . ●8 2·0 � 9 � . . . . . . . ●12 8·0 � 9 � . . . . . . .

0·7 � 6 � . . . . . . . 0·9 � 9 � . . . . . . . 0·4 � 9 � . . . . . . .

3·7 � 6 � 2·9 � 9 � 8·4 � 9 �

●13 A rope is 4·7 metres long. What is the length of 6 ropes? m

●14 One stone is about 6·4 kilograms. Leah weighs 7 stones.What is her weight in kilograms? kg

●15 Each patio tile weighs 3·9 kg. What is the weight of eight tiles? kg

●16 In 15 minutes a cyclist rides 4·8 kilometres. How far would he travelif he rides for one hour at the same speed? km

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 32: Multiplication of Decimals

Y5

Example5·3 � 4 5·0 � 4 � 20·0

0·3 � 4 � 1 · 25·3 � 4 � 2 1 · 2

16·0

4·5

04 Y5-Homework26-50 19/12/02 10:09 am Page 32

Page 8: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Work out and write the answer in the box.

●1 183 � 5 ●3 157 � 4 ●5 224 � 6 ●7 303 � 9

1 8 3 1 5 7 2 2 4 3 0 3� 5 0 (10 � 5) � (10 � 4) � (10 � 6) � (10 � 9)

. . . . . . . . . . . . . . . .� (20 � 5) � (20 � 4) � (20 � 6) � (20 � 9)

. . . . . . . . . . . . . . . .� (6 � 5) � (6 � 4) � (6 � 6) � (6 � 9)

●2 197 � 8 ●4 229 � 9 ●6 199 � 7 ●8 316 �8

1 9 7 2 2 9 1 9 9 3 1 6� 8 0 (10 � 8) � (10 � 9) � (10 � 7) � (10 � 8)

. . . . . . . . . . . . . . . .� (10 � 8) � (10 � 9) � (10 � 7) � (10 � 8)

. . . . . . . . . . . . . . . .� (4 � 8) � (4 � 9) � (4 � 7) � (4 � 8)

rrr24 r

rrr36 r

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 33: Informal Method For Division

Y5

Example 258 � 7 2 5 8� 7 0 (10 � 7)

1 8 8� 1 4 0 (20 � 7)

4 8� 4 2 (6 � 7)

6 Answer 36 remainder 6

04 Y5-Homework26-50 19/12/02 10:09 am Page 33

Page 9: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

The first problem has been completed as an example.

●1 ●5 ●98 )2 6 0 7 )2 0 1 6 )3 7 5

2 4 ( 3 � 8 ) ( 5 �7)

2 0 . . . . . . . . . . . .1 6 ( 2 � 8 ) ( 5 �7)

4 . . . . . .

●2 ●6 ●101 3 )1 4 0 2 4 )3 0 6 1 7 )3 9 9

( 4 � 3 ) ( 5 � 4)

. . . . . . . . . . . . . . . . .( 6 � 3 ) ( 5 � 4)

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

●3 ●7 ●112 5 )3 3 8 3 9 )3 5 1 3 8 )2 9 2

( 6 � 5 ) ( 5 � 9)

. . . . . . . . . . . . . . . . . .( 7 � 5 ) ( 5 � 9)

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

●4 ●8 ●122 6 )2 0 5 3 8 )4 3 5 3 9 )6 6 8

( 3 � 6 ) ( 5 � 8)

. . . . . . . . . . . . . . . . . .( 4 � 6 ) ( 5 � 8)

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

●13 A jar containing 854 g of jam is shared equallybetween 7 people.How much does each person get? g

●14 A prize of £675 is divided equally between9 people.How much does each person receive? l£

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 34: Standard Method For Division

Y5

3 2 R4

04 Y5-Homework26-50 19/12/02 10:09 am Page 34

Page 10: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

●1 Complete each bill and find the change from £10·00.

a) Meat £2 · 7 8 b) Biscuits £1 · 5 3 c) Book £3 · 9 9Potatoes £1 · 3 4 Tea £2 · 7 5 Paper £1 · 4 5Vegetables £2 · 4 3 Milk £0 · 9 9 Pen £3 · 4 9

Total Total Total

Change Change Change

●2 A shopkeeper makes 8p profit on each tin of beans sold.How much profit does she make by selling:

a) 15 tins £ . . . . . . . . . b) 100 tins £ . . . . . . . . . c) 350 tins? £ . . . . . . . . .

●3 Four yogurts cost £1·28. How much would the following cost?

a) 40 yogurts £ . . . . . . .

b) 1 yogurt £ . . . . . . .

c) 100 yogurts? £ . . . . . . .

●4 The headteacher of a school decides to spend £100 on each of the followingitems. How many of each can be bought?

a) rulers 25p each . . . . . . . c) pens 99p each . . . . . . .

b) books £4·00 each . . . . . . . d) footballs £3·50 each . . . . . . .

●5 Complete the table by changing the pounds into the foreign currencies.

£ ·£ ·£ ·

£ ·£ ·£ ·

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 35: Money

Y5

UK (pound) Europe (Euro) Brazil (real) Pakistan (rupee)

£1·00 1·5 5·8 85

£10·00

£40·00

£100·00

£500·00

04 Y5-Homework26-50 19/12/02 10:09 am Page 35

Page 11: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Complete by writing the missing number.

●1 0·5 cm � mm ●7 75 cm � m

●2 2·8 cm � mm ●8 409 cm � m

●3 64 mm � cm ●9 3·4 km � m

●4 7 mm � cm ●10 1·62 km � m

●5 5·3 m � cm ●11 6180 m � km

●6 2·84 m � cm ●12 270 m � km

●13 Lydia needs 60 ribbons for a costume.Each ribbon has to be 25 centimetres long.How much ribbon does she need to buy in metres? m

●14 Marion cycles 19·74 kilometres in one hour.Freda cycles 580 metres further. How far does Freda cycle? km

●15 There are 25 magazines in a pile. Each magazine is 12 mm thick.How high is the pile in centimetres? cm

●16 A basketball player is 2·03 metres tall. A jockey is 57 centimetresshorter. How tall is the jockey? m

●17 An athlete runs round a field 10 times. He works out that he has run 6 km. What is the perimeter of the field? m

●18 Niamh walks 400 metres in five minutes.How far does she walk in one hour? km

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 36: Metric Measures – Length

Y5

You need to know that:

10 mm � 1 cm 100 cm � 1 m 1000 m � 1 km

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Page 12: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Complete by writing the missing number.

●1 2000 g � kg ●7 3·58 kg � g

●2 9500 g � kg ●8 8·7 kg � g

●3 1·6 kg � g ●9 290 g � kg

●4 5 kg � g ●10 4720 g � kg

●5 6340 g � kg ●11 7·41 kg � g

●6 700 g � kg ●12 0·03 kg � g

●13 One tin of pears weighs 400 g. What is the weight of 50 tins? kg

●14 Indira weighs 36·8 kg. Charlotte weighs 730 g more. What is Charlotte’s weight? kg

●15 A packet of cereal weighs half a kilogram. Three quartersof the packet is used. How much cereal is left? g

●16 A cake weighs 1·5 kg. It is cut into 10 equal slices. What is the weight of each slice? g

●17 One parcel weighs 1·38 kg. Another weighs 820 g.What is their combined weight? kg

●18 One hundred copies of a book weigh 20 kg.What is the weight of one book? g

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 37: Mass

Y5

Examples: 1000 g � 1 kg 500 g � 0·5 kg 100 kg � 0·1 kg

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Page 13: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Complete by writing the missing number.

●1 40000 ml � litres ●7 2·5 litres � ml

●2 8600 ml � litres ●8 9·34 litres � ml

●3 5·29 litres � ml ●9 3900 ml � litres

●4 0·3 litres � ml ●10 40 ml � litres

●5 6120 ml � litres ●11 7·05 litres � ml

●6 900 ml � litres ●12 0·81 litres � ml

●13 Romeo mixes 1·8 litres of white paint with 600 ml ofblack paint. How much grey paint has he made? litres

●14 How many 150 ml glasses can be filled from six litres oforange juice?

●15 Every day Lucy drinks three 200 ml cups of tea.How much tea does she drink in June? litres

●16 A bottle of lemonade contains 2 litres. 720 ml is drunk.How much lemonade is left? litres

●17 A car uses 150 ml of petrol every minute.How much does it use in one hour? litres

●18 Eight 200 ml glasses are filled from a jug holding 2·5 litresof water. How much water is left? ml

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 38: Capacity

Y5

Examples: 1000 ml � 1 litre 500 ml � 0·5 litres 100 ml � 0·1 litres

40

04 Y5-Homework26-50 19/12/02 10:09 am Page 38

Page 14: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Write each measurement in the box.

0kg

10

kg kg

0litres

2

l l6 12

0kg

1

kg kg

0ml

400

ml ml5 11

0litres

10

ml ml

0 5

kg kg

kg

4 10

0ml

500

ml ml

0g

500

g g3 9

0 100

ll ll

0litresmm

1

mm mm2 8

0g

1000

g g

6 7

cm cm

cm

1 7

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 39: Reading Scales

Y5

04 Y5-Homework26-50 19/12/02 10:09 am Page 39

Page 15: Y5 Homework Sheet 26: Multiplication By Partitioning · Homework Sheet 26: Multiplication By Partitioning Y5 Complete by writing the missing numbers in the boxes

Measure each shape and complete the boxes.

●3 Complete the table showing the measurements of rectangles.

●4 A square field has an area of 10 000 m2.What is its perimeter?

●5 A square garden has a perimeter of 80 metres.What is its area? m2

m

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 40: Area and Perimeter

Y5

ExampleArea � (6 � 4) cm2 Perimeter � 2 � (6 � 4) cm

� 24 cm2 � 2 � 10 cm

� 20 cm4 cm

6 cm

Area � cm2

Perimeter � cm

Area � cm2

Perimeter � cm

1 2

Length 8 cm 7 cm 9 cmBreadth 2 cm 6 cm 4 cm 5 cmPerimeter 24 cm 28 cmArea 35 cm2 48 cm2 60 cm2

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Complete the table.

For each of the above times work out how many minutes there are to the next hour.

●1 . . . . . . . . . ●5 . . . . . . . . . ●9 . . . . . . . . .

●2 . . . . . . . . . ●6 . . . . . . . . . ●10 . . . . . . . . .

●3 . . . . . . . . . ●7 . . . . . . . . . ●11 . . . . . . . . .

●4 . . . . . . . . . ●8 . . . . . . . . . ●12 . . . . . . . . .

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 41: Reading Clocks

Y5

No. TIME IN WORDS 12-HOUR CLOCK 24-HOUR CLOCK

1 10 mins. past 11 11:10 p.m. 23:10

2 8:45 a.m.

3 5:25 p.m.

4 5:06 a.m.

5 1:31 p.m.

6 7:58 p.m.

7 02:23

8 15:17

9 10:39

10 22:42

11 07:08

12 14:54

50

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●1 Complete the table showing the times of coaches from London to towns andcities throughout Britain.

●2 Return journeys take the same time as outward journeys.Write the time you would expect each coach to reach London.

10:40 from Sheffield . . . . . . . 14:50 from Blackpool . . . . . . .

20:00 from Aberdeen . . . . . . . 12:20 from Leicester . . . . . . .

17:15 from Manchester . . . . . . . 21:45 from Reading . . . . . . .

08:20 from Newcastle . . . . . . . 22:30 from Dundee . . . . . . .

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 42: Time Problems

Y5

DESTINATION DEPART ARRIVE LENGTH OF JOURNEY

Aberdeen 09:30 21:00 11 h 30 mins.

Birmingham 19:30 2 h 40 mins.

Blackpool 17:45 6 h 35 mins.

Cambridge 07:15 09:10

Derby 16:50 3 h 35 mins.

Dundee 08:40 19:10

Glasgow 22:00 8 h 40 mins.

Hull 18:15 5 h 50 mins.

Leicester 18:20 2 h 45 mins.

Manchester 10:30 15:20

Newcastle 06:10 6 h 40 mins.

Reading 19:55 1 h 25 mins.

Sheffield 13:00 3 h 30 mins.

Sunderland 13:35 20:30

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Use the above grid to work out these places in England.

●1 (3, 5) (1, 1) (2, 0) (5, 1) (3, 2) (4, 3) (4, 0)� � � � � � �

●2 (3, 5) (1, 0) (2, 0) (4, 3) (2, 4) (1, 3) (0, 3)� � � � � � �

●3 (6, 5) (1, 1) (2, 4) (3, 2) (5, 4) (1, 1) (6, 1)� � � � � � �

●4 (0, 5) (1, 1) (0, 3) (1, 6) (3, 2) (6, 3) (5, 1)� � � � � � �

●5 (0, 2) (1, 1) (2, 4) (4, 4) (1, 3) (2, 0) (4, 3)� � � � � � �

●6 (6, 2) (1, 1) (2, 6) (0, 4) (4, 6) (5, 6) (1, 6)� � � � � � �

●7 Plot the points on the grid. Join them up in the order given to make a picture.

(3, 3) (2, 7) (0, 10) (3, 8) (5, 10)

(7, 8) (10, 10) (8, 7) (7, 3) (9, 1)

(5, 0) (1, 1) (3, 3) (5, 2) (7, 3)

Now join up these points in thesame way.

(3, 6) (3, 7) (4, 7) (4, 6) (5, 5)

(4, 5) (4, 4) (6, 4) (6, 5) (5, 5)

(6, 6) (6, 7) (7, 7) (7, 6) (3, 6)

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 43: Co-ordinates

Y5

Remember!

The across co-ordinates comes first.

Point D is (2, 6)

Point P is (6, 2)

L F

H

T O

E Z N C

B

V

DW

A

I P

Q K X

Y

M

U R G

S

J5

6

4

3

2

1

00 1 2 3 4 5 6

1

2

3

4

5

6

7

8

9

10

00 1 2 3 4 5 6 7 8 9 10

B A

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scalene triangle quadrilateral hexagon

isosceles triangle square pentagon

equilateral triangle rectangle octagon

●1 Use the above names to label each shape.

●2 Write the letters of the shapes which:

a) are regular . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

b) have one or more pairs of equal angles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

c) are concave . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

d) have one or more pairs of equal sides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

e) have one or more right angles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

A

B

C F IL

triangle

KHE

D G J

triangle

triangle

triangle

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 44: Two-dimensional Shapes

Y5

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Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 45: Three-dimensional Shapes

Y5

●1 Write each of the letters A–L by the name of the correct shape.

. . . . . hexagonal prism . . . . . octahedron

. . . . . sphere . . . . . cuboid

. . . . . tetrahedron . . . . . cone

. . . . . square based pyramid . . . . . octagonal prism

. . . . . pentagonal prism . . . . . cylinder

. . . . . cube . . . . . triangular prism

●2 Write the letters of the shapeswhich have:a) circular faces . . . . . . . . . . .

b) triangular faces . . . . . . . . . . .

c) 12 edges . . . . . . . . . . .

d) 6 vertices . . . . . . . . . . . .

G

J

K

L

I

FC

EHB

A

D

B

5 cm

4 cm

3 cm

●3 Make a net for this cuboid.You will find it easier if youuse squared paper.

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Shade the reflection of each shape in the mirror line.

●1 ●6

●2 ●7

●3 ●8

●4 ●9

●5 ●10

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 46: Symmetry

Y5

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Translate each shaded shape twice.

●1 ●4

●2 ●5

●3 ●6

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 47: Translations

Y5

A Up 2

A

B

B Right 3 A Left 4 B Up 2

A Left 2 B Down 4 A Down 2 B Left 2

A Right 2 B Up 3 A Right 3 B Down 4

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Write the missing angle on the line.

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 48: Angles in a Straight Line

Y5

Example x � 60° � 180°x � 120°

60°x°

80°°

135° 65°

118°40° 95°

160° 29° 51°

120° 106° 16°

55° 73° 84°

35° 142° 127°

°

° °

°

°

° ° °

°

°

°

°

°

°

°

°

°

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

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●1 This line graph shows theheart rate of an athlete during a 60 minute training session.

a) What was the athlete’s heartrate:i) at the beginning of the

session? bpm (beats

per minute)

ii) at the end of the

session? bpm

b) What was her highest heart rate? bpm

c) For how long was her heart rate above 100 beats per minute? minutes

d) In which five minute period did her heart rate rise most steeply?

between minutes and minutes

e) What was the largest fall in heart rate in any five minute period? bpm

●2 Use the table to draw a line graphshowing the average daily temperaturein New York during one year.

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 49: Line Graphs

Y5

600

70

80

90

100

110

120

130

140

150

160

5 10 15 20 25 30 35 40 45 50 55 60Minutes

Heartrate

(beatsper

minute)

�2J F M A M J J A S 0 N D

0

2

4

6

8

10

12

14

16

18

20

22

24

26Temperature

(°C)Month Temperature (°C)

January 0February �1March 3April 9May 17June 21July 24August 25September 22October 15November 9December 3

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Use the clues to fill in the grids

Clues across Clues down

●1 42·3 � 10 ●1 6 � 7

●4 320 � 10 ●2 310 � 99

●6 187 � 29 ●3 40 � 9

●7 91 � 22 ●4 62

●8 21 � 5 ●5 3001 � 7

●11 83 � 41 ●9 17 � 3

●13 19 � 30 ●10 284 � 67

●15 90 � 6 ●12 1000 � 4

●16 602 � 499 ●14 15 � 5

Clues across Clues down

●1 213 � 42 ●1 230 � 90

●3 70 � 5 ●2 12 � 6

●5 6 � 7 ●3 154 � 39

●6 437 � 61 ●4 96 � 2

●7 411 � 298 ●6 52 � 42

●8 72 ●7 2001 � 16

●10 25·8 � 10 ●8 50 � 9

●11 2700 � 100 ●9 88 � 87

●12 2996 � 59 ●10 92 � 4

Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Homework Sheet 50: Crossnumber Puzzles

Y5

1 2 3 4 5

6 7

8 9

10 11 12

13 14

15 16

1 2 3 4

5 6

7

8 9

1110

12

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