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Homework
Pack 5
Homework Pack 5
Written by teachers for teachers to support the renewed
Primary Framework, Collins New Primary Maths
is a whole-school numeracy programme that builds
and develops all the key skills needed to be successful
in mathematics. Homework activities allow practice
of the objectives covered in the daily lessons.
Linked to the daily
lesson plans
An average of one activity
every two weeks
Differentiated activities
Target individual learning
needs with activities
structured at three levels
Clear instructions
Support children beyond
the classroom with clear
and stimulating activities
ISBN 978-0-00-722042-7
Browse the complete Collins
Education catalogue at
www.collinseducation.com
9 780007 220427
5 5
Peter Clarke
Series Editor
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Homework Pack 5
Series Editor: Peter Clarke
Authors: Jeanette Mumford, Sandra Roberts, Andrew Edmondson
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William Collins’ dream of knowledge for all began with the publication of his first book in 1819.
A self-educated mill worker, he not only enriched millions of lives, but also founded a
flourishing publishing house. Today, staying true to this spirit, Collins books are packed with
inspiration, innovation and practical expertise. They place you at the centre of a world of
possibility and give you exactly what you need to explore it.
Collins. Freedom to teach.
Published by Collins
An imprint of HarperCollinsPublishers
77 – 85 Fulham Palace Road
Hammersmith
London
W6 8JB
Browse the complete Collins catalogue at
www.collinseducation.com
© HarperCollinsPublishers Limited 2008
10 9 8 7 6 5 4 3 2 1
ISBN-978-0-00-722042-7
The Authors assert their moral rights to be identified as the authors of
this work
Any educational institution that has purchased one copy of this publication
may make unlimited duplicate copies for use exclusively within that
institution. Permission does not extend to reproduction, storage within a
retrieval system, or transmittal in any form or by any means, electronic,
mechanical, photocopying, recording or otherwise, of duplicate copies for
loaning, renting or selling to any other institution without the permission of
the Publisher.
British Library Cataloguing in Publication Data
A Catalogue record for this publication is available from the British Library
Cover design by Laing&Carroll
Cover artwork by Jonatronix Ltd
Internal design by Steve Evans and Mark Walker Design
Illustrations by Steve Evans and Mark Walker
Edited and proofread by Jean Rustean
Printed and bound by Martins, the Printers, Berwick-upon-Tweed
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Contents
Unit A1
HCM 1
Decimals in order
Understand decimal notation for tenths
HCM 2
Use efficient written methods to add whole numbers
HCM 3
8
Reviewing multiplication facts
Know by heart multiplication facts up to 10 x 10
HCM 4
7
Adding up in the air
9
Snake game
Multiply and divide whole numbers by 10 and 100
10
Unit B1
HCM 5
Add 'em up!
Use efficient methods to add whole numbers
HCM 6
Shopping decimals
Use an efficient written method to add decimals
HCM 7
14
Open cubes
Visualise 3-D solids from 2-D drawings and identify nets for an open cube
HCM 10
13
Multiples and common multiples
Recognise multiples to the 10th multiple and recognise common multiples
HCM 9
12
Facts remainder
Recall multiplication facts up to 10 x 10 and derive quickly the related division facts
HCM 8
11
15
Dazzling diagonals
Recognise and explain patterns and relationships in 2-D shapes
16
Unit C1
HCM 11
Milk run
Measure and draw lines to the nearest millimetre
HCM 12
Mixed salad
Collect, organise and present data
HCM 13
18
Addresses
Construct pictograms, bar and bar line charts
HCM 14
17
19
Bat bar line charts
Use graphs to explain answers to questions
20
Unit D1
HCM 15
Spot the pairs
Multiply and divide by 10, 100 or 1000 and understand the effect
HCM 16
Chessboard perimeters
Understand, measure and calculate perimeters of rectangles and regular polygons
HCM 17
22
TV times
Read the time on a 24-hour digital clock and use 24-hour clock notation
HCM 18
21
23
My birthday
Use a calendar to work out birthdays
24
3
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Contents
Unit E1
HCM 19
Wall fractions
Use diagrams to identify equivalent fractions
HCM 20
Tea time fractions
Find fractions using division
HCM 21
28
Multiplication methods
Multiply a pair of two-digit numbers
HCM 24
27
50 and 25 noughts and crosses
Use known facts and halving to multiply by 50 and 25
HCM 23
26
Using factors to multiply and divide
Use factors to multiply and divide
HCM 22
25
29
Calculating clothes costs
Develop calculator skills and use a calculator effectively
30
Unit A2
HCM 25
Decimal games
Partition and order decimals
HCM 26
In the playground
Use all four operations to solve word problems
HCM 27
32
Decimal doubles and halves
Double and halve decimals
HCM 28
31
33
Using the calculator
Develop calculator skills and use a calculator effectively
34
Unit B2
HCM 29
Find the missing numbers
Use knowledge of place value and addition and subtraction to derive sums and differences
HCM 30
Represent a problem by identifying and recording the calculations
HCM 31
38
New shapes from old
Test whether a general statement is true by investigating examples
HCM 34
37
Look out for 25s
Recognise and extend number sequences
HCM 33
36
Finding multiples
Know if a number is a multile of 2, 3, 4, 5, 6 or 10
HCM 32
35
Park problems
39
Folding triangles
Classify triangles (isosceles, equilateral, scalene) using criteria such as equal sides, equal angles
40
Unit C2
HCM 35
Choosing chocolates
Use, read and write standard metric units of mass
HCM 36
Chess tournament
Collect and organise data to answer a question
HCM 37
43
Weather forecast
Describe how likely an event is to happen. Collect and organise data to find out about a subject
4
42
Travelling temperature
Present data using a line graph
HCM 38
41
44
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Contents
Unit D2
HCM 39
The column method and decimals
Use efficient written methods to add and subtract whole numbers and decimals with up to two places
HCM 40
Reviewing multiplication
Use efficient written methods to multiply HTU x U,TU x TU and U.t x U
HCM 41
46
Plotting shapes
Read and plot co-ordinates in the first quadrant
HCM 42
45
47
Packaging weights
Choose and use appropriate number operations to solve problems
48
Unit E2
HCM 43
Decimal 1 pairs
Use knowledge of addition
HCM 44
Relate fractions to their decimal equivalents
HCM 45
52
Helpful doubles
Use doubling to multiply by 12, 14, 16 and 18
HCM 48
51
Find the fraction
Find fractions using division of numbers and quantities
HCM 47
50
Get the proportion
Solve problems involving proportions of quantities
HCM 46
49
Fraction and decimal dominoes
53
Holiday money
Make simple conversions of pounds to foreign currency
54
Unit A3
HCM 49
Decimal pathways
Order decimal numbers with up to two places
HCM 50
Decimal 10 pairs
Use knowledge of addition
HCM 51
56
Multiplication and division facts
Know by heart multiplication and division facts
HCM 52
55
57
Recording division
Refine and use efficient written methods to divide HTU ÷ U
58
Unit B3
HCM 53
Sum choice
Use efficient written methods to subtract decimals
HCM 54
Learn your facts!
Use knowledge of place value and addition and subtraction
HCM 55
62
Flexing rectangles
Solve mathematical problems or puzzles
HCM 58
61
Multiplication and division
Use known facts and place value to multiply and divide mentally
HCM 57
60
Remainders
Express a quotient as a fraction when dividing whole numbers
HCM 56
59
63
Nets made with equilateral triangles
Draw nets of 3-D shapes
64
5
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Contents
Unit C3
HCM 59
Everday estimating
Suggest suitable units and measuring equipment to estimate or measure capacity
HCM 60
Time lines
Use graphs to answer questions
HCM 61
66
Cycling distance time-graphs
Use time-distance graphs to answer questions
HCM 62
65
67
Coining it
Collect and organise data to answer a question
68
Unit D3
HCM 63
Sports costs
Use a calculator to solve problems
HCM 64
Solve word problems
HCM 65
70
Finding the square units
Use the formula 'length x breadth' for the area of a rectangle
HCM 66
69
Problem solving
71
Four-square designs
Complete symmetrical patterns with two lines of symmetry at right angles
72
Unit E3
HCM 67
Percentages
Understand percentage as the number of parts in every 100
HCM 68
Four in a row
Understand percentage as the number of parts in every 100
HCM 69
77
Number sequences
Explain a generalised relationship in words
6
76
Reviewing written multiplication and division
Use efficient written methods to multiply and divide HTU x U,TU x TU, U.t x U and HTU ÷ U
HCM 72
75
How many?
Solve problems involving proportions of quantities
HCM 71
74
Temperatures around the world
Solve one-step and two-step problems involving whole numbers and decimals, choosing and using
appropriate calculation strategies
HCM 70
73
78
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Y5 A1 L3
HCM 1
Name _________________________Date ____________
Decimals in order
•
Understand decimal notation for tenths
1
Use these digits to make six decimal numbers.
3
2
·
·
·
·
·
,
·
,
,
·
·
,
,
·
,
Use these digits to make six decimal numbers.
4
2
·
Put your numbers in order from smallest to largest.
·
1
5
7
·
9
1
8
·
·
·
·
·
·
Put your numbers in order from smallest to largest.
Write down a number that comes between each pair of decimals.
·
·
·
·
·
·
·
·
·
·
·
Explain what decimals are.Write your explanation on the back of this sheet.
© HarperCollinsPublishers Ltd 2008
7
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Y5 A1 L4
HCM 2
Name _________________________Date ____________
Adding up in the air
•
Use efficient written methods to add whole numbers
Write these calulations out vertically and then work out the answer.
The first two have been written out for you.
a
462 + 253 =
b
285 + 164 =
c
327 + 245 =
f
318 + 273 =
285
+ 164
462
+ 253
d
352 + 366 =
e
568 + 128 =
1
Write five three-digit numbers between 100 and 999.
2
Use these numbers to make up and work out six
addition calculations.Write the calculations on
the back of this sheet.
Your friend has forgotten how to add using the written
method.Write down, on the back of this sheet, what you
would say to explain it to them.
8
© HarperCollinsPublishers Ltd 2008
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Y5 A1 L7
HCM 3
Name _________________________Date ____________
Reviewing
multiplication facts
•
Know by heart multiplication facts up to 10 x 10
Multiply each number on the left by the number shown.
Match each number on the left to the correct product.
×3
a
×9
b
×4
c
3•
• 9
1•
• 18
1•
• 12
7•
• 27
9•
• 45
3•
• 32
9•
• 12
8•
• 63
6•
• 20
1•
• 18
2•
• 27
8•
• 4
6•
• 3
7•
• 81
5•
• 28
8•
• 21
5•
• 54
9•
• 16
4•
• 6
3•
• 9
7•
• 36
2•
• 15
6•
• 72
4•
• 24
5•
• 24
4•
• 36
2•
• 8
Complete these number targets.
b
a
54
9
8
10
3
×6
5
6
c
56
16
24
72
7
70
8
×8
0
×7
4
7
6
49
4
9
21
4
0
48
How do the multiplication facts up to 10 × 10 help you recall the answers to division
facts? Write your explanation on the back of this sheet.
© HarperCollinsPublishers Ltd 2008
9
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Y5 A1 L9
HCM 4
Name _________________________Date ____________
Snake game
•
Multiply and divide whole numbers by 10 and 100.
A game for one or two players.
How to play:
You need:
Each player chooses a single-digit starting number.
G paper, pencil
Write this number on your piece of paper.
and counter
Take it in turns to roll the dice and move your counter.
for each player
Carry out the operation you have landed on using your
starting number.
G 1–6 dice
The answer is your new number.
If you cannot do the operation, then your number does not change.
The winner is the player with the highest number at the finish.
●
●
●
●
ST
AR
T
●
●
●
×10
–10
+10
×10
÷10
+10
–10
÷10
÷10
+10
–10
–10
+10
×10
÷10
+10
÷10
×10
–10
÷10
×10
–10
×10
+10
–10
×10
+10
×10
÷10
+10
–10
÷10
×10
÷10
+10
–10
×100
re!
nt to stop he
You may wa
+100
×10
÷10
+100 –100
÷100
×100
÷10
÷100
×10
÷10
×100
–100
+100
÷10
×10
÷100
+100
–100
×100
÷100
×10
–100
×100
÷10
×10
÷100
FINISH
10
–100
+100
© HarperCollinsPublishers Ltd 2008
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Name _________________________Date ____________
Y5 B1 L1
HCM 5
Add ‘em up!
•
Use efficient methods to add whole numbers
853 + 726
469 + 254
58 + 21
199 + 652
527 + 122
521 + 375
323 + 442
375 + 384
64 + 26
842 + 357
Look at the calculations. Choose two to add mentally, and two to add using the
written method.
Look at the calculations. Choose four to add up mentally, and six to add up using
the written method.
Ask someone at home if they know why the written method works. Listen carefully
and see if you think their explanation is clear.
© HarperCollinsPublishers Ltd 2008
11
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Y5 B1 L3
HCM 6
Name _________________________Date ____________
Shopping decimals
•
Use an efficient written method to add decimals
Ten customers each buy 2 items.Work out what each customer might have spent.
£5.34
£8.31
£7.92
£6.48
£3.70
1
2
3
4
5
6
7
8
9
10
Ten customers each buy 2 items.Work out what each person might have spent.
£67.21
£91.46
£45.06
£38.57
£57.69
1
2
3
4
5
6
7
8
9
10
Make up two word problems using the items in the
of this sheet.
12
activity.Write them on the back
© HarperCollinsPublishers Ltd 2008
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Y5 B1 L6
HCM 7
Name _________________________Date ____________
Facts reminder
•
Recall multiplication facts up to 10 x 10 and derive
quickly the related division facts
a Fill in the missing number in each triangle so that each
number relates to the other.
b Write a multiplication and division fact for each.
a
b 9
3
36
c
d 7
64
4
9
8
6
e
8
3×6=
÷3=6
45
f
5
g
h
36
9
6
7
i
j
48
49
12
8
Write down the calculation, then work out the answer.
a 7 multiplied by 6
f what divided by 7 equals 4?
b the product of 5 and 9
g the quotient of 36 and 6
c 3 times more than 4
h the product of 8 and 3
d share 27 between 3
i the factors of 21
e 34 divided by 4 gives remainder of
j the quotient of 60 and 5
On the back of this sheet, write 10 other
multiplication or division facts
I know that 6 x 7 = 42.
that are related to 6 x 7 = 42.
I used this to work out
that 60 x 7 = 420.
© HarperCollinsPublishers Ltd 2008
13
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Y5 B1 L10
HCM 8
Name _________________________Date ____________
Multiples and
common multiples
•
Recognise multiples to the 10th multiple and recognise
common multiples
Write the first 10 multiples of each of the numbers below.
Multiples of 9
Multiples of 6
Multiples of 8
Multiples of 7
Look at the numbers you have written above.
a
Find the common multiples of 9 and 7
b
Find the common multiples of 6 and 8
c
Find the common multiples of 6 and 9
d
Find the common multiples of 7 and 8
e
Find the common multiples of 7 and 6
f
Find the common multiples of 9 and 8
Find all the two-digit common multiples of:
14
a
2, 3 and 4
b
2, 3 and 5
c
2, 8 and 10
d
3, 4 and 5
© HarperCollinsPublishers Ltd 2008
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Y5 B1 L13
HCM 9
Name _________________________Date ____________
Open cubes
3-D solids from 2-D drawings and identify
• Visualise
nets for an open cube
1
You need:
G scissors
To make your open cube:
● fold 1 inside 2 inside 3
● fold 7 inside 1
● put 8 on the base
● fold 4 inside 5 inside 6
● fold 9 inside 4
● put 10 on the base
✃
Repeat, as
above for the
small net.
✃
2
Large net.
Carefully cut out the large net.
Cut along the dashed lines (
).
Fold the dotted lines (
).
8
7
1
8
2
3
7
base
1
2
3
4
base
4
6
5
6
5
9
9
10
© HarperCollinsPublishers Ltd 2008
10
15
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Y5 B1 L14
HCM 10
Name _________________________Date ____________
Dazzling diagonals
•
1
2
Recognise and explain patterns and relationships in
2-D shapes
For each hexagon, draw straight lines to join
the vertex marked by the black dot to the
three non-adjacent vertices.
You need:
G ruler
G red pencil
Check each diagram for triangles with just
two equal sides. Colour these triangles red.
12
1
Use straight lines to join the points
1 to 2, 2 to 3, 3 to 4 and so on.
2
Count the number of sides the
shape has.
3
Draw all the diagonals, joining nonadjacent vertices with straight lines.
4
1
11
10
2
9
3
Count the number of diagonals at
each vertex.
8
What if there were 15 points on the
circumference of the circle?
16
4
7
5
6
a
Predict the number of diagonals at each vertex.
b
Use the other side of the sheet to test your prediction.
© HarperCollinsPublishers Ltd 2008
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Y5 C1 L2
HCM 11
Name _________________________Date ____________
Milk run
• Measure and draw lines to the nearest millimetre
This map shows the roads connecting 3 farms and
a dairy.
Measure each line to the nearest millimetre and complete
the table.
Connecting
roads
You need:
G ruler
Distance on map
mm
cm
Dairy
D
A to B
B to C
C to D
D to A
A to C
Cherrytree
Farm
C
A
B
1
Beechwood
Farm
Find the shortest route which takes the milk tanker from the dairy to each
farm once and back to the dairy without travelling the same road twice.
Dairy
2
Ashgrove
Farm
→ Farm
→ Farm
→ Farm
→ Dairy
On the map 1 cm represents 1 km. Find the shortest distance in kilometres that
the tanker driver takes when collecting milk from all 3 farms and returning to
the dairy.
Dairy +
km +
© HarperCollinsPublishers Ltd 2008
km +
km +
km =
km
17
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Y5 C1 L4
HCM 12
Name _________________________Date ____________
Mixed salad
•
Collect, organise and present data
This tally chart
shows the foods
people chose for
their salads at
Zoe’s party.
1
2
Salad Food
Lettuce
Tomato
Egg
Celery
Spring onion
Tally
Total
11
You need:
G 1 cm squared
paper
G ruler
Count the tally marks and write the totals.
Use the information presented in the table above to answer these questions:
a How many people chose tomato salad?
b How many people chose egg or celery?
c How many more people chose spring onion than tomato?
d What is the least popular salad food?
e How many salads were made altogether for Zoe’s party?
1
Complete the pictogram.
Party Salad Foods
Number
Lettuce
stands for
2
salads.
Using 1 cm square paper, copy and complete
the bar chart.
Lettuce
Type of salad
The table shows the foods people chose for their salads at a wedding.
Salad Food
Lettuce
Tomato
Egg
Celery
Spring onion
18
Total
32
15
26
17
21
1
2
Use the information in the
table above to draw a bar
chart on 1 cm squared paper.
Write a sentence comparing
salad foods at the party
and wedding.
You need:
G 1 cm squared
paper
© HarperCollinsPublishers Ltd 2008
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Y5 C1 L7
HCM 13
Name _________________________Date ____________
Addresses
• Construct pictograms, bar and bar line charts
The table shows the lines
of address on 70 letters.
G 1 cm squared
Letters
6
2
9
16
23
14
Address lines on letters
24
22
Copy and complete the bar
line chart.
s
paper
sp
Address lines
0
1
2
3
4
5
You need:
20
18
16
G 1 cm squared
paper
14
Letters
You need:
12
10
G ruler
8
6
4
1
What is the mode?
2
2
How many letters have addresses
longer than 3 lines?
0
3
Draw a pictogram for the data.
4
Which diagram was quickest
to draw?
5
Which diagram is easiest to read?
0
1
2
3
Address lines
4
5
You need:
1
Count the words in 50 addresses in the telephone book.
Record the data using a tally chart.
2
Use a bar line chart to show the data.
G telephone
directory
G 1 cm squared
paper
G ruler
© HarperCollinsPublishers Ltd 2008
19
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Y5 C1 L8
HCM 14
Name _________________________Date ____________
Bat bar line charts
• Use graphs to explain answers to questions
Bat nests are called roosts.
The bar line chart shows the
bats in roosts in 2007. Bats Roosts
Copy and complete
0
the table.
1
Bat roosts in 2006
50
40
30
2
3
4
5
6
1
The table shows
the bats in roosts
in 2008.
Complete the bar
line chart.
Bats
0
1
2
3
4
5
6
20
10
0
Roosts
3
8
42
27
21
15
6
1
2
3
4
5
Number of bats
6
Bat roosts in 2007
50
40
30
20
10
0
2
0
0
1
2
3
4
5
Number of bats
Now answer these questions.
6
a How many roosts had 4 bats in 2006?
b How many roosts were empty in 2007?
c How many roosts had less than 3 bats in 2006?
d What was the most common (mode) roost size in 2007?
e What is the mode for 2006?
f How many bat roosts were there altogether in 2006?
g Were there more or less bat roosts in 2007?
Combine the data for 2007 and 2008
into a single table. Draw a bar line
chart on graph paper.
20
How many more or less?
You need:
G graph paper
G ruler
© HarperCollinsPublishers Ltd 2008
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Page 21
Name _________________________Date ____________
Y5 D1 L1
HCM 15
Spot the pairs
Multiply and divide by 10, 100 or 1000 and understand
• the
effect
Find 5 pairs of numbers that have been multiplied
or divided by 10.Write them as 5 division
calculations and 5 multiplication calculations.
1
2840
6
41
280
6400
5070
381
41 × 10 = 410
2
640
3
4
284
410
5
1260
28
6
126
507
7
3810
8
37
9
700
60
70
370
10
Example
Find 5 pairs of numbers that have been multiplied
or divided by 100.Write them as 5 division
calculations and 5 multiplication calculations.
800
15
28
86
6133
512
83 400
126 800
8600
2800
613 300
71 400
80 000 ÷100 = 800
2
3
5
6
7
8
51 200
21 900
1
4
714
219
80 000
Example
834
1500
9
1268
10
Look at your answers for the activity. Divide each of these answers by 100.
Write your answers on the back of this sheet.
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Y5 D1 L6
HCM 16
Name _________________________Date ____________
Chessboard perimeters
Understand, measure and calculate perimeters of
• rectangles
and regular polygons
This chessboard is square. Each side measures 40 cm.
Find and record these measurements.
a length of side of chessboard
cm.
b perimeter of chessboard
cm.
c length of side of one small square
cm.
d perimeter of one small square
cm.
These squares grow from the bottom left-hand corner of the chessboard.
1
Continue this pattern further.
2
Complete this table.
Number of squares
Length of side in cm
Perimeter in cm
3
1
5
20
4
9
16
25
36
49
64
Look at your last answer in the table and your answer to question b.
Explain why this is.
The perimeter of one small square on a chessboard is 12 cm.What is the perimeter
in cm of the chessboard?
22
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Y5 D1 L7
HCM 17
Name _________________________Date ____________
TV times
Read the time on a 24-hour digital clock and use 24• hour
clock notation
1
Convert these 24-hour digital clock times to 12-hour clock times, adding a.m. or p.m.
2
24-hour clock
07:15
15:33
12-hour clock
7:15 a.m.
10:42
22:10
12:50
Convert the 12-hour clock times to 24-hour digital clock times.
12-hour clock
9:35a.m.
11:27a.m.
4:40p.m.
5:55a.m.
11:06p.m.
24-hour clock
1
You have a 3-hour video tape.
Look up this evening’s TV guide. Choose 5 programmes
you wish to video.
Write the channel and the start and finish times you
will enter into the video recorder.
Programme
Channel
You need:
G a TV guide
Start time Finish time Duration
Example
Neighbours
5
17:35
18:00
25 min
1
2
3
4
5
2
Calculate the length of each programme and record in the “Duration” column.
3
Work out how many minutes are still left in your video tape.
Answer:
mins.
How many episodes of ‘Neighbours’ can you record on a 4 hour DVD disc?
© HarperCollinsPublishers Ltd 2008
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Y5 D1 L9
HCM 18
Name _________________________Date ____________
My birthday
• Use a calendar to work out birthdays
This is how David worked
out the day of the week
on which his younger
brother was born.
Remember to count the
extra day in February when
it is a leap year.
Copy and complete
your details here.
Steps
1
Date of birth.
22nd June 1998
____________________
2
Is the year a leap year?
No
____________________
3
173
Number of days from
1st January to 22nd June
Jan Feb Mar Apr May Jun
31 + 28 + 31 + 30 + 31 + 22 = 173
____________________
4
Subtract 1 from year, divide by 4.
Ignore any remainder.
1998 – 1 = 1997
1997 ÷ 4 = 499
____________________
____________________
5
Add together:
173
1998
+ 499
2670
____________________
____________________
____________________
____________________
6
Divide 2670 by 7
Remainder
7
Use the table of remainders:
Fri Sat Sun Mon Tue Wed Thu
0
1
2
3
4
5
6
(Remainder of 3 = M)
number of days
year of birth
answer to step 4
total
2670 ÷ 7 = 381 r 3 ____________________
3
____________________
Monday
8
Day of birth
Monday 22
June 1998
____________________
Ask someone in your family for their date of birth.
Using the back of this sheet, find out the day of the week
on which they were born.
24
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Page 25
Name _________________________Date ____________
Y5 E1 L1
HCM 19
Wall fractions
• Use diagrams to identify equivalent fractions
These walls have been built with each row of bricks divided into different fractions.
1
On this wall find the rows where you
can shade a half. Label the fractions
you shade. Put a cross in the box if
you can’t shade a half.
halves
1
2
2
On this wall find the rows where you
can shade a quarter. Label the
fractions you shade. Put a cross in the
box if you can’t shade a quarter.
thirds
fifths
quarters
sixths
fifths
sevenths
sixths
eighths
1
On this wall find the rows where you
can shade a third. Label the fractions
you shade. Put a cross in the box if
you can’t shade a third.
halves
thirds
1
4
quarters
2
On this wall find the rows where you
can shade a fifth. Label the fractions
you shade. Put a cross in the box if
you can’t shade a fifth.
halves
1
3
thirds
quarters
quarters
fifths
fifths
sixths
sixths
sevenths
sevenths
eighths
eighths
ninths
ninths
tenths
tenths
1
5
Explain how to find equivalent
fractions.Write your explanation
on the back of this sheet.
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Name _________________________Date ____________
Y5 E1 L3
HCM 20
Tea time fractions
• Find fractions using division
Imagine one friend is coming to tea, so there will be two of you altogether.
Imagine three of your friends are coming to tea, so there will be four of you
altogether.
Look in the cupboards in your kitchen and choose some foods to divide between
you and your friends.Write down what the food is, the division calculation and
the amount each person would get.
Example
240 g ÷ 2 = 120 g
Beanz
Everyone gets 120 g
240g
Everyone gets 60 g
240 g ÷ 4 = 60 g
Look at the foods you shared between you and your friends. More people have
arrived to make 7 people altogether. How much would each person get now? You
may have to round some of your answers to the nearest whole number. Show your
working and answers on the back of this sheet.
26
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Y5 E1 L8
HCM 21
Name _________________________Date ____________
Using factors to
multiply and divide
• Use factors to multiply and divide
Find the factors of these numbers.
a
Use factors to help you
work out answers to these.
a 5 × 12 = 5 × 2 × 6
2
14
= 10 × 6
= 60
28
b
b 24 × 3 =
=
=
36
c 15 × 4 =
c
=
=
d 14 × 7 =
16
d
=
=
24
Use factors to help you work out the answers to these.
= 60 ÷ 3
c 216 ÷ 9 =
a 60 ÷ 12 =
= 20 ÷ 4
=
=
b 120 ÷ 15 =
=
© HarperCollinsPublishers Ltd 2008
d 296 ÷ 8
=
=
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Y5 E1 L9
HCM 22
Name _________________________Date ____________
50 and 25 noughts
and crosses
• Use known facts and halving to multiply by 50 and 25
You need: 10 counters (5 of one colour, 5 of another)
Instructions
(For 2 players)
● Each player has a set of 5 counters.
● Choose one number from the buttons on the machine.
● Multiply the number by 50 (Game 1) or by 25 (Game 2).
● If your answer is on the grid, place one of your counters on
that square.
● The winner is the first person to get 3 in a row.
Remember
the quick
way!
Game 1
13
46
35
21
26
15
24
38
25
37
28
27
750
1350
1750
1400
1900
650
1200
2300
1850
900
850
575
425
650
1050
700
1175
1250
Game 2
23
14
17
48
36
26
34
47
19
16
42
28
How does multiplying a number by 100 and halving, help to multiply a number
by 50 or 25? Write your explanations on the back of this sheet.
28
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Y5 E1 L11
HCM 23
Name _________________________Date ____________
Multiplication methods
• Multiply a pair of two-digit numbers
Approximate the answer to each calculation.
a 19 × 38
20 × 40 = 800
e 48 × 56
b 27 × 33
f 28 × 63
c 44 × 38
g 24 × 43
d 39 × 55
h 34 × 72
For each of the calculations above, use the grid method to work out the answer.
a
c
19 × 38
×
10
30
8
b
×
9
+
×
+
d
×
+
+
e
×
f
×
+
g
×
+
h
+
×
+
Choose four of the calculations (a-h) and check your answers using a different
expanded written method. Show all your working on the back of this sheet.
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Y5 E1 L14
HCM 24
Name _________________________Date ____________
Calculating clothes costs
• Develop calculator skills and use a calculator effectively
Use your calculator to work out these.
1
a £3.28 + £2.56 =
b £1.85 + £2.14 =
c £9.99 + £7.24 =
d £6.42 + £8.67 =
2
a £9.31 – £4.85 =
b £3.09 – £1.36 =
c £5.87 – £3.99 =
3
a 3 × £1.85 =
b 2 × £65.16 =
c 9 × £3.39 =
Skirt
£12.72
1
2
Tie
£3.88
Calculate the cost of:
a A tie and coat
d Four ties
3
Gloves
£4.80
b A skirt and gloves
e Two coats
Scarf
£5.72
c A scarf and tie
f Gloves, a coat and a skirt
Calculate the difference in price between:
b Gloves and a tie
c A skirt and a scarf
Find the change from a £10 note when you buy:
a A tie
1
G calculator
Coat
£23.99
a A skirt and a coat
Find the total
cost for this
clothes bill:
b A scarf
Trousers
£14.23
Dress
£16.30
Shirt
£8.00
Tie
Jumper
£4.05
£9.99
Total:
30
You need:
c Gloves
2
Calculate the cost of one
pair of socks:
3 pairs of
socks
£2.94
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Name _________________________Date ____________
Y6 A2 L1
HCM 25
Decimal games
• Partition and order decimals
You can play in pairs or on your own.
First, cut out the cards and shuffle them.
● Put all the cards in order from smallest to largest.
You need:
●
●
Place the cards face down on the table.
G scissors
Turn over two cards. If they total 10, keep them. If not,
put them back in the same place.
● If you are playing on your own, continue until you have all the pairs. If you are
playing with a partner, take turns to choose cards until they are all taken.
The player with the most pairs is the winner.
✃
0·2
9·8
5·5
4·5
7·3
2·7
3·6
6·4
1·3
8·7
6·1
3·9
0·5
9·5
5·1
4·9
Explain, on the back of this sheet, how you can use your addition facts for 10 to
help you pair the cards.
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Y6 A2 L4
HCM 26
Name _________________________Date ____________
In the playground
• Use all four operations to solve word problems
1
84 children have brought skipping ropes to school
today and 37 have brought balls. How many toys
altogether in the playground?
2
There are 274 infants and 359 juniors in the
playground. How many children altogether?
3
There are 276 girls at school today. 138 of them are
in the hall eating their dinner. How many
are out in the playground?
4
There are 138 girls eating their dinner and 247
children altogether in the dinner hall. How many
boys are there?
1
377 children came out to play.
The infants go in early as they are going on a trip.
There are 186 children left in the playground.
How many infants came out to play?
2
451 children brought their coats to school today.
183 infants are wearing their coats and 204 juniors
are wearing theirs. How many coats are left in the
cloakrooms?
3
There are 409 children out in the playground. 56 are
playing football, 178 are running around playing chase
and 103 are skipping. How many are doing something
else?
Working
Working
753 children are out in the playground. One third of
them are eating fruit, one third of them are queuing for
dinner. How many are left? What fraction of the
children is this?
32
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Y5 A2 L6
HCM 27
Name _________________________Date ____________
Decimal doubles
and halves
• Double and halve decimals
Double each decimal going into the machine to get a new number.
a 1·3
b 0·80
c 1·2
2·7
0·24
3·5
4·2
×2
2·5
1·6
Halve each of the decimals in
this sheet.
© HarperCollinsPublishers Ltd 2008
0·39
0·14
0·28
×2
4·7
×2
5·6
3·4
a, b and c.Write your answers on the back of
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Y5 A2 L10
HCM 28
Name _________________________Date ____________
Using the calculator
• Develop calculator skills and use a calculator effectively
1
Work out these calculations using the calculator.
a 537 + 69 =
b 94 + 287 =
c 821 + 75 =
d 165 + 74 =
e 354 + 94 =
f 597 − 61 =
g 382 − 107 =
h 377 − 128 =
i 257 − 98 =
j 308 − 81 =
k 42 × 3 =
l 36 × 4 =
m 19 × 7 =
n 61 × 3 =
o 47 × 4 =
p 96 ÷ 8 =
q 91 ÷ 7 =
r 108 ÷ 6 =
s 161 ÷ 7 =
t 153 ÷ 9 =
You need:
G calculator
2 Look at the answers you have just written in question 1.Which of these
calculations could you have done in your head? Draw a star (
) beside these
calculations.
★
1 Work out these calculations using a calculator
a 256 + 6741 =
b 6423 – 645 =
c 625 x 3 =
d 47 x 50 =
e 2004 – 1999 =
f 532 + 137 =
g 6532 + 4869 =
h 356 x 84 =
i 264 ÷ 4 =
j 642 ÷ 7 =
2 Look at the answers you have just written in question 1.Which of these
) beside these
calculations could you have done in your head? Draw a star (
calculations.
★
34
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Y5 B2 L2
HCM 29
Name _________________________Date ____________
Find the missing numbers
Use knowledge of place value and addition and
• subtraction
to derive sums and differences
Fill in the missing numbers in the calculations.
Show all your workings.
a 96 +
= 133
b
d 67 +
= 115
e 87 –
g
– 32 = 65
a 83 + 34 +
= 143
+ 46 = 130
c
– 38 = 56
= 35
f 96 +
= 180
h
– 29 = 58
i 66 +
= 154
b
+ 36 + 48 = 136
c 74 +
+ 37 = 173
f 163 –
– 25 = 46
i 37 +
+ 78 = 161
d
+ 61 + 97 = 176
e 85 + 56 +
g
– 63 – 29 = 75
h
= 183
– 99 – 107 = 35
Look at questions b and g in the activity and explain how you worked them out.
Write your explanation on the back of this sheet.
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Name _________________________Date ____________
Y5 B2 L4
HCM 30
Park problems
Represent a problem by identifying and recording
• the
calculations
1
In a week, 1265 children played on the
swings and 2873 on the slide.
How many children used them
altogether?
2
One family spent £6.15 on ice creams
and another spent £4.26. How much
was spent by the two families?
3
The length of one path is 6·23 km, and
the other is 3·48 km.What is the total
length of the paths?
4
One boy had £4.38. He lost £1.85. How
much does he have left?
1
Two joggers came into the park.
One jogged 6·84 km and the other
8·36 km.What is the total distance
jogged?
2
On Sunday, the ice-cream seller took
£37.94 in the morning and £48.73 in
the afternoon. How much did he take
that day?
3
On a sunny day 2682 adults, 3727
children and 1375 dogs visit the park.
How many visitors are there
altogether?
Working out
The answer on my calculator is 5.68. On the back of this sheet, write two possible
problems with this as the answer.
36
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Page 37
Name _________________________Date ____________
Y5 B2 L9
HCM 31
Finding multiples
• Know if a number is a multiple of 2, 3, 4, 5, 6 or 10
A game for 2 players.
You need:
On the back of this sheet quickly
draw the following score sheet. G paper clip
(each)
Player 1
Player 2
1
2
3
4
5
6
7
8
9
10
G pencil (each)
●
●
Take turns to spin the spinner twice.
Make a two-digit number and record it
on your score sheet.
● See if you have made a multiple of 2, 4, 5 or 10.
● Score 1 point if your number is a multiple of 2 or 5. Score 2 points if your
number is a multiple of 4 or 10.
● Have 10 goes each.The player with the most points is the winner.
●
●
●
●
●
Take turns to spin the spinner
three times.
Make a three-digit number and
record it on your score sheet.
See if you have made a multiple of
2, 4, 5 or 10.
Score 1 point if your number is a
multiple of 2 or 5. Score 2 points if
your number is a multiple of 4 or 10.
Have 10 goes each.The player with
the most points is the winner.
© HarperCollinsPublishers Ltd 2008
●
●
●
●
●
Take turns to spin the spinner
three times.
Make a three-digit number and
record it on your score sheet.
See if you have made a multiple of
2, 3, 4, 5, 6 or 10.
Score 1 point if your number is a
multiple of 2 or 5. Score 2 points if
your number is a multiple of 3, 4 or
10 and 3 points if it is a multiple of 6.
Have 10 goes each.The player with
the most points is the winner.
37
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Y5 B2 L10
HCM 32
Name _________________________Date ____________
Look out for 25s
• Recognise and extend number sequences
Colour the numbers that are multiples of 25.
You need:
G coloured pencil
For each number line, write the number indicated by the boxes.
a
b
c
Write the multiple of 25 that is:
38
a before 1000
f 50 more than − 950
b 75 more than − 425
g 25 more than − 650
c after 725
h 50 less than − 325
d 100 more than −1000
i 75 less than 725
e 25 less than − 500
j 100 less than − 475
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Y5 B2 L11
HCM 33
Name _________________________Date ____________
New shapes from old
whether a general statement is true by
• Test
investigating examples
Statement: You can make these 5 different shapes by
combining 4 of the triangles edge to edge.
square
rectangle
parallelogram
trapezium
right-angled
triangle
You need:
G scissors
G square dot grid
paper
G ruler
1
Test whether the general statement is true or false.
Rule
a Cut out 4 identical right-angled isosceles triangles
from the bottom of this sheet.
Triangles must be
placed with equal sides
touching
edge to
edge.
b Using the rule, try to make each of the 5 shapes.
2 Is the general statement true or false?
1
Use all 8 right-angled isosceles triangles to make the 5 shapes.
2
Investigate how many different shapes you can make using 4 of the triangles.
Draw the shapes on square dot grid paper.
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Y5 B2 L12
HCM 34
Name _________________________Date ____________
Folding triangles
Classify triangles (isosceles, equilateral, scalene) using
• criteria
such as equal sides, equal angles
1
2
Cut out the triangles at the bottom of the sheet.
Write the name of each triangle inside the shape.
You need:
Investigate by folding only, and write which triangle has:
G scissors
a 3 sides equal in length
b 2 equal sides
c no 2 sides equal
d 1 line of symmetry
e 3 lines of symmetry
f no lines of symmetry
g all angles equal in size
h all angles different in size
i 2 equal angles
Complete this table. Triangle
Number of Number of
equal sides equal angles
Number of lines
of symmetry
isoceles
equilateral
scalene
✃
✃
✃
40
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Page 41
Y5 C2 L2
HCM 35
Name _________________________Date ____________
Choosing chocolates
• Use, read and write standard metric units of mass
HARD CENTRES
SOFT CENTRES
PLAIN
10 g
15 g
20 g
15 g
20 g
25 g
10 g
20 g
25 g
10 g
15 g
25 g
MILK
1
2
Select and draw chocolates from each of the trays to fill your chocolate box.
Work out the total weight in grams of your selection.
Total weight
1
Make a selection of 8 chocolates which will weigh 150 g.
You must have at least one chocolate from each tray.
Write the weight of each chocolate in the grid below.
2
Work out the total weight of 8 chocolates you can select for:
a the lightest box
b the heaviest box
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Y5 C2 L5
HCM 36
Name _________________________Date ____________
Chess tournament
• Collect and organise data to answer a question
20 junior and 20 senior chess players took part in a tournament. Each player
played 5 games.The tables show how many games each player won.
Games won
Junior
Players
Junior Players
1 3
2
Senior
Senior Players
Players
3 3
4
Games won
11
41
55
43
33
53
44
13
2
3
3
3
2
00
34
44
44
2
3
4
22
45
55
31
Complete this table by combining the
information above for the junior and
senior players.
33
23
33
54
Games won
44
22
5 5
4
2
2
33
22
4 4
3
3
5
Tally
Total
0
1
1 Use the information in the table above
to complete the bar line chart.
Letters
33
23
22
33
2
3
16
4
14
5
12
2 What is the mode? What does
this mean?
10
8
6
3 How many players won less than
3 games?
4
2
0
0
1
2
3
4
What do you think is the most common number of goals
scored by a professional football team?
Make a prediction.
Investigate by recording football results.
You will need to decide:
– how many matches to record
– how to record the results
– which diagrams to draw
– how to decide if your prediction was correct.
42
You need:
G sports section
from a
newspaper
G 1 cm squared
paper
G ruler
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Y5 C2 L8
HCM 37
Name _________________________Date ____________
Travelling temperature
• Present data using a line graph
The table shows the temperature inside a railway
carriage on a journey.
1 Complete the bar line chart.
2 Mark the top of each bar line using a cross.
3 Join the crosses to make a line graph.
Railway Carriage
Temperature
21
Temp (ºC)
20
20
20
16
19
20
21
21
20
19
18
You need:
17
G 1 cm square
1.10
1pm
12.50
12.40
12.30
12.20
paper
G ruler
12.10
16
15
12.00
Temperature (ºC)
22
Time
12.00
12.10
12.20
12.30
12.40
12.50
1.00
1.10
Time
The table shows the temperatures
inside a car on a journey.
Copy and complete the line graph.
a What was the lowest
temperature in the car?
b When was the car warmest?
c When was the car heater
switched on?
d The car stopped at a petrol station.When
was this?
e Estimate the temperature at 9.15am.
f Did the temperature change between
9:30am and 9:40am? Can you be sure?
© HarperCollinsPublishers Ltd 2008
Time
9.00am
9.10
9.20
9.30
9.40
9.50
10.00
10.10
10.20
10.30
Temp (ºC)
16
16
22
22
22
18
21
22
23
22
43
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Y5 C2 L10
HCM 38
Name _________________________Date ____________
Weather forecast
how likely an event is to happen
•• Describe
Collect and organise data to find out about a subject
Describe the chance of each event
happening. Use the words on the right.
1 It will rain or stay dry tomorrow.
2 There will be thunder and a lightning
strike tomorrow.
3 Next Sunday it will rain without a
cloud in the sky.
certain
poor chance
impossible
high risk
unlikely
good chance
4 During the next month it will rain.
low risk
probable
5 You will need to wear a jumper
tomorrow.
improbable
likely
no chance
1
Ask 20 friends and family the following questions.
How many sunny days do you expect next week (0 to 7)? You need:
G squared paper
Describe the chance of it raining on three days of next
G ruler
week. Choose from impossible, unlikely, likely
or certain.
2 Record the data using tally charts on the back of this sheet.
3 Draw a diagram to show your results.
4 Write at least two sentences describing what you found out.
1 On the back of this sheet make up a dice game for you
You need:
and another player.
Write the rules down so that you have a slightly greater G 1-6 dice
chance of winning.
2 Play the game with different people and record the
results. Did you win more games than you lost?
44
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Page 45
Name _________________________Date ____________
Y5 D2 L1
HCM 39
The column method
and decimals
Use efficient written methods to add and subtract
• whole
numbers and decimals with up to two places
Practise using the column method with whole numbers and decimals.Write each
calculation out vertically and then work out the answer.
1 342 + 236
2 421 + 397
1 63·87 + 52·61
2 82·54 + 35·39
3 628 + 735
4 673 – 352
3 59·38 + 94·53
4 73·92 – 51·64
5 759 – 286
6 837 – 419
5 173·26 – 81·41
6 93·57 – 28·49
Choose two of the calculations from the
write a word problem for each of them.
© HarperCollinsPublishers Ltd 2008
activity and, on the back of your sheet,
45
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Y5 D2 L4
HCM 40
Name _________________________Date ____________
Reviewing multiplication
Use efficient written methods to multiply HTU x U,
• TU
x TU and U.t x U
Use a written method to answer each of the following. Show all your working.
1 765 x 9 =
2 462 x 6 =
3 629 x 7 =
4 953 x 4 =
Work out the answers to each of the following. Show all your working.
1 6·8 x 8 =
2 5·6 x 9 =
3 4·8 x 6 =
4 8·5 x 7 =
5 9·6 x 6 =
6 7·7 x 4 =
Use a written method to answer each of the following. Show all your working.
46
1 67 x 83 =
2 72 x 39 =
3 56 x 44 =
4 94 x 68 =
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Page 47
Y5 D2 L6
HCM 41
Name _________________________Date ____________
Plotting shapes
• Read and plot co-ordinates in the first quadrant
For each grid, plot the points
and join them in order with
straight lines.
You need:
G ruler
y
y
6
6
5
5
4
4
3
3
2
2
1
1
0
0
x
0
1
2
3
4
6
5
1
4
3
6
5
Three of the vertices of a rectangle are plotted on each grid. Find the 4th vertex.
y
y
9
9
8
8
7
7
6
6
5
5
4
4
3
3
2
2
1
1
0
0
1
2
4
3
5
6
7
8
9
x
a The co-ordinates are:
(
2
2
b (2, 2) (2, 5) (6, 6) (6, 2) (2, 2)
Name of shape
a (1, 4) (3, 6) (6, 2) (1, 4)
Name of shape
1
x
0
,
0
0
1
2
4
3
5
6
7
8
9
x
b The co-ordinates are:
)
(
,
)
For each rectangle, draw the diagonals.
The diagonals of rectangle a cross at the point
(
,
)
The diagonals of rectangle b cross at the point
(
,
)
© HarperCollinsPublishers Ltd 2008
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Y5 D2 L9
HCM 42
Name _________________________Date ____________
Packaging weights
Choose and use appropriate number operations to
• solve
problems
1 Find 10 different packets, tins and jars.Write the
name of each container in column 1.
2 Read the weight on the side of the container and
write it in column 2.
3 Round the weight to the nearest 100 g and write
your answer in column 3.
Container
Jar of mayonnaise
You need:
G selection of
packets, tins
and jars
Actual weight of container Rounded to nearest 100 g
425 g
400 g
1
2
3
4
5
6
7
8
9
10
1
Write the actual weight of each container in the correct circle.
packets
48
jars
tins
2
Round the total weight of containers in each circle to the nearest 100 g.
packets
jars
tins
3
Find the difference in weight between the heaviest and lightest set.
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Page 49
Name _________________________Date ____________
Y5 E2 L1
HCM 43
Decimal 1 pairs
• Use knowledge of addition
•
•
•
Cut out the cards and shuffle them.You can play on your
own or with a partner.
Place all the cards face down.Turn over two cards.
You need:
If they equal 1, keep them. If they do not, put
G scissors
them back in the same place.
G pencil and
If you are playing on your own, keep going until you
paper
have all the pairs.
If you are playing in pairs, take it in turns until all the cards are taken.
The player with more pairs is the winner.
0.1
0.9
0.2
0.8
0.3
0.7
0.4
0.6
0.5
0.5
0.1
0.9
0.2
0.8
0.3
0.7
0.4
0.6
0.5
0.5
On a separate sheet of paper, write 10 pairs of decimals to two places that total 1,
e.g. 0·17 and 0·83.
© HarperCollinsPublishers Ltd 2008
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Page 50
Y5 E2 L4
HCM 44
Name _________________________Date ____________
Fraction and decimal
dominoes
• Relate fractions to their decimal equivalents
Cut out the dominoes and
complete the domino loop
matching the fractions to the
equivalent decimal.
You need:
G scissors
G pencil and
paper
✃
✃
3
4
0.5
2
10
0.75
1
2
0.6
0.3
1
10
0.25
4
10
0.1
6
10
1
4
0.8
8
10
0.2
0.4
3
10
0.12
4
10
96
100
0.25
2
10
0.02
1
4
0.2
2
100
0.68 0.96
39
100
0.4 0.75
Make your own set of 9 fraction and decimal
dominoes. How tricky can you make it?
12
100
68
100
3
4
0.39
HINT
Think about equivalent
fractions, e.g. –8 = 4– .
10
50
5
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Page 51
Y5 E2 L8
HCM 45
Name _________________________Date ____________
Get the proportion
• Solve problems involving proportions of quantities
1
Tom’s dad has bought 24 sweets.
As Tom is older than his sister Julie,
his dad gives him 3 sweets for every
1 he gives Julie.
Complete the table to work out
how many sweets they’re both given.
Tom
2
Tom
3
Julie
For every 7 bones Nellie has, she
eats 1 and buries 6. She has 35
bones. How many has she buried and
how many has she eaten?
Complete the table to help you
work out the problem.
eaten
Julie
1
eaten buried
1
6
buried
1
Out of every 5 stickers I buy, I keep
2 and swap 3. I have bought 35 in
the last few weeks. How many have
I kept?
How many have I swapped?
Complete the table to help you
work out the problem.
2
Apples come in bags of 8. I eat 6
out of every bag and give 2 to my
rabbit. If I buy 6 bags, how many
apples do I eat?
How many does my
rabbit eat?
keep
2
swap
3
me
6
rabbit
2
On the back of this sheet write down as many times that you can think of when
you use proportion in the real world.
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Y5 E2 L9
HCM 46
Name _________________________Date ____________
Find the fraction
• Find fractions using division of numbers and quantities
Work out the following fractions. Show all your working.
1
2
a –14 of 24
b –13 of 27
c –15 of 45
d –16 of 60
e –14 of 100
f 10
–1 of 100
Work out the following fractions. Show all your working.
a –13 of 69
b –17 of 98
c –18 of 120
d 10
–1 of 220
Work out the following whole amounts. Show all your working.
a –15 of
= 20
b –14 of
= 12
c –13 of
= 14
d 10
–1 of
=5
Explain why fractions and division go together.Write your explanation on the back
of this sheet.
Read your explanation to someone at home and see if it makes sense to them.
52
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Page 53
Y5 E2 L11
HCM 47
Name _________________________Date ____________
Helpful doubles
• Use doubling to multiply by 12, 14, 16 and 18
Complete each number fact by multiplying then doubling your answer.
aa 5 × 8
5×8
××
44
double
double
bb 7 × 8
7×6
× 3× 4
double
double
cc 9 × 8
9×6
×4
×3
×2
×2
dd 6 × 8
6×8
×4
×4
×2
×2
ee 4 × 8
4 × 12
×4
×6
double
double
ff 8 × 8
8×8
×4
×4
×2
×2
5
Complete each number fact by multiplying then doubling your answer.
a
5 × 16
×8
double
b
c
10 × 14
×7
×2
d
6 × 16
×8
double
7 × 18
×9
×2
e
g
3 × 12
×6
double
4 × 18
×9
×2
f
8 × 14
×7
×2
h
9 × 12
×6
double
Write down two, two-digit numbers greater than 20.
Multiply each of the numbers by 12, 14, 16 and 18.
Show your working out on the back of this sheet.
© HarperCollinsPublishers Ltd 2008
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Y5 E2 L13
HCM 48
Name _________________________Date ____________
Holiday money
• Make simple conversions of pounds to foreign currency
1
Find the tourist rates in the business section of a recent newspaper.
Cut it out and staple it to the corner of this page.
2
What currency is used in:
You need:
a Hong Kong
G newspaper
b Australia
c Spain
d India
e Switzerland
3
What is the exchange rate for one:
a US dollar
b Euro
c Japanese yen
d Singapore dollar
Complete the tables below to show how much of each
currency you receive when you exchange English pounds.
Round each currency rate to the nearest whole number if you need to.
a
Mexican Pesos
b
Thai Baht
£1 = 54·36
£1 = 14·6
£5
£25
£100
£5
£10
£100
a
Danish Kroner
£1 = 11·42
£5
£25
£50
54
b
New Zealand
Dollars £1 = 3·03
£5
£25
£50
c Australian Dollars
£1 = $2·5
£5
£25
£50
c
Euro
£1 = 1·56
£5
£25
£100
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Name _________________________Date ____________
Y5 A3 L2
HCM 49
Decimal pathways
• Order decimal numbers with up to two places
Find two paths through the numbers from start to finish.
You can move in any direction but the decimals must be in order.
Path 1
4·6
15·3
Path 2
4·6
15·3
Path 1
12·63
24·85
Path 2
12·63
24·85
On the back of this sheet write all the decimal numbers on this sheet in order, smallest
to largest.
© HarperCollinsPublishers Ltd 2008
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Page 56
Name _________________________Date ____________
Y5 A3 L3
HCM 50
Decimal 10 pairs
• Use knowledge of addition
•
•
•
Cut out the cards and shuffle them.
You can play on your own or with a partner.
Place all the cards face down.Turn over two cards.
If they equal 10, keep them. If they do not, put
them back in the same place.
If you are playing on your own, keep going until you
have all the pairs. If you are playing in pairs, take it in
turns until all the cards are taken.
The player with more pairs is the winner.
You need:
G scissors
G pencil and
paper
0.1
1.9
1.2
2.8
4.3
4.7
3.4
5.3
3.5
0.5
8.1
6.6
7.2
8.8
9.9
5.7
8.4
1.6
6.5
9.5
On a separate sheet of paper, write 10 pairs of decimals to two places that total
10, e.g. 8·26 + 1·74.
56
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Page 57
Y5 A3 L6
HCM 51
Name _________________________Date ____________
Multiplication and
division facts
• Know by heart multiplication and division facts
Write in the missing signs.
1
7 = 13
f 24
3=8
b 20
3 = 17
f 8
c 18
9=9
g 25
5=5
c 32
4=8
g 12
5 = 17
d 18
6=3
h 7
d 32
4 = 28
h 12
4=3
b 6
7=0
7 = 11
e 8
e 5
4 = 20
a 4
7 = 42
a 6
2
x ÷
3 = 24
4=2
Write a multiplication or division calculation for each of the following.
Then work out the answer.
Calculation Answer
1
What is the product of 80 and 70?
2
What is 90 times itself?
3
There are 72 biscuits. Each packet contains 9 biscuits.
How many packets?
4
How many times does 4 go into 84?
5
What are 5 lots of 12?
6
What is the quotient of 24 and 6?
7
A baker uses 7 dozen eggs per day. How many eggs
is this?
8
There are 52 playing cards in a “deck”. Split the deck
between 4 players. How many cards do they each get?
9
John has 6 blue marbles and 7 times as many green
marbles. How many marbles does he have altogether?
10 What is 49 000 divided by 700?
On the back of this sheet, write 10 multiplication and division facts that are
related to 9 x 8 = 72.
© HarperCollinsPublishers Ltd 2008
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Y5 A3 L9
HCM 52
Name _________________________Date ____________
Recording division
• Refine and use efficient written methods to divide HTU ÷ U
Approximate the answer to each calculation.
Show the calculation you used.
c
b 519 ÷ 9
a 268 ÷ 4
221 ÷ 3
d 384 ÷ 8
e
457 ÷ 5
h 364 ÷ 7
f
g 676 ÷ 7
287 ÷ 6
i
785 ÷ 9
j
299 ÷ 8
For each calculation, write the approximate answer first, then use a standard
written method of division to record your work.
a 4 56 ÷ 7
b 165 ÷ 3
c
686 ÷ 8
d 352 ÷ 4
e 387 ÷ 9
f 465 ÷ 5
Look at your answers for the activity. On the back of this sheet, use a different
written method to check your answers.
58
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Page 59
Y5 B3 L3
HCM 53
Name _________________________Date ____________
Sum choice
• Use efficient written methods to subtract decimals
Choose numbers and make up 5 addition and 5 subtraction calculations.
Work them out using the vertical method. Be sure to make an estimate first.
6.47
2.71
5.03
3.81
7.85
2.35
4.23
2.12
8.34
9.26
Choose numbers and make up 5 addition and 5 subtraction calculations.
Work them out on the other side of this sheet, using the vertical method. Be sure to
make an estimate first.
12.62 4.83 15.72 8.62 24.72 9.85 13.42 6.13 25.96 2.72
Choose 1 addition and 1 subtraction calculation and,
on the back of this sheet, show a mental calculation
method you could have used.
© HarperCollinsPublishers Ltd 2008
© HarperCollinsPublishers Ltd 2008
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Y5 B3 L4
HCM 54
Name _________________________Date ____________
Learn your facts!
• Use knowledge of place value and addition and subtraction
Learn the decimals that go together to equal 1.
1 Read the first column and try to remember the facts.
2 Cover the first column and work out the second column. Mark your answers.
3 Cover the first and second columns and work out the third column.
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
+
+
+
+
+
+
+
+
+
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
=
=
=
=
=
=
=
=
=
0.5
0.4
0.9
0.7
0.2
0.6
0.1
0.3
0.8
1
1
1
1
1
1
1
1
1
+
+
+
+
+
+
+
+
+
=
=
=
=
=
=
=
=
=
1
1
1
1
1
1
1
1
1
0.1
0.8
0.4
0.7
0.2
0.6
0.3
0.5
0.9
+
+
+
+
+
+
+
+
+
=
=
=
=
=
=
=
=
=
1
1
1
1
1
1
1
1
1
Learn the decimals that go together to equal 10.
1
2
Complete the first column as quickly as you can. Mark your answers.
Complete the other two columns. Each time try and beat your score.
4.5
2.3
7.6
4.2
3.9
8.5
1.8
0.4
3.3
7.9
+
+
+
+
+
+
+
+
+
+
=
=
=
=
=
=
=
=
=
=
10
10
10
10
10
10
10
10
10
10
1.5
6.3
7.5
1.8
4.9
6.4
7.8
1.4
0.8
7.6
+
+
+
+
+
+
+
+
+
+
=
=
=
=
=
=
=
=
=
=
10
10
10
10
10
10
10
10
10
10
8.9
9.4
1.3
3.4
7.5
6.1
8.7
0.8
4.4
2.3
+
+
+
+
+
+
+
+
+
+
=
=
=
=
=
=
=
=
=
=
10
10
10
10
10
10
10
10
10
10
On the back of this sheet, write out ten numbers below 10 with two decimal places, e.g.
6·32. As quickly as you can, write the number that goes with each one to equal 10.
60
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Y5 B3 L7
HCM 55
Name _________________________Date ____________
Remainders
Express a quotient as a fraction when dividing whole
• numbers
Work out the answers to each of these calculations. Express any remainders as
a fraction.
a 36 ÷ 7 =
b 50 ÷ 8 =
c 17 ÷ 2 =
d 26 ÷ 5 =
e 54 ÷ 10 =
f
14 ÷ 3 =
g 28 ÷ 4 =
h 33 ÷ 6 =
i
23 ÷ 3 =
Add the remainders
A game for 2 players.
12
23
48
7
38
G
G
G
G
G
G
G
G
G
G
31
59
27
46
15
44
51
13
35
54
9
32
49
26
60
You need:
G 1-6 dice
G paper
G pencils
G 20 counters
Take turns to place a counter on one of the numbers on the grid, e.g. 27. Once
a number has been covered with a counter, it cannot be used again.
Roll the dice, e.g. 6, and divide the number on the grid by the dice number, i.e.
27 ÷ 6 = 4 R 3.The remainder, i.e. 3, is your score for that round. If there is no
remainder, score 0.
Keep a running total.
The winner is the player with the higher score after all the numbers have
been covered.
Roll a 1-6 dice three times and write down the numbers.
Arrange them to make a 2-digit number and a 1-digit number. You need:
Divide the 2-digit number by the 1-digit number.
G 1-6 dice
Investigate what division calculations you can make that
have answers with a remainder of 1.
What about calculations with a remainder of 2, 3, 4…8, 9?
Write your answers on the back of this sheet.
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Y5 B3 L9
HCM 56
Name _________________________Date ____________
Multiplication and division
Use known facts and place value to multiply and
• divide
mentally
Sort these calculations into groups as shown.
200 × 10
5000 ÷ 10
350 ÷ 2
94 × 5
450 × 2
65 × 6
40 × 1000
680 ÷ 2
7000 ÷ 100
300 × 10
38 × 3
420 ÷ 2
56 × 4
365 × 2
485 × 2
29 × 7
9000 ÷ 1000
87 × 9
760 ÷ 2
77 × 6
×10 ×100 ×1000
÷10 ÷100 ÷1000
×2 ÷2
× units
Work out the answers to each of the calculations above in your head.
Write the answers beside each calculation.
Look at the x units bag in the activity. Change each
calculation into a U.t x U calculation and work out the
answer.Write the calculations and the answers on the back
of this sheet.
62
Example
56 x 4 = 224
5·6 x 4 = 22·4
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Page 63
Y5 B3 L11
HCM 57
Name _________________________Date ____________
Flexing rectangles
• Solve mathematical problems or puzzles
1 Cut out the large
rectangle at the
bottom of the sheet.
You need:
G scissors
G sticky tape
2
4
1
1
2
3
Q
U
3
2
1
1
2
3
3
2
1
1
2
3
S
A
3
2
1
1
1
1
2
3
E
R
3
2
1
1
2
3
Fold the middle
section back.
1
3
1
2
3
1
5
Fold the right-hand
column back.Then
fold it back again.
1
1
1
2
6 Fold the left-hand square
in. Carefully join the two
middle squares with tape.
3
3
3
© HarperCollinsPublishers Ltd 2008
2
2
1
2
3
1
1
1
1
3
1
1
1
1
1
1
1
✃
You can see all the 1s. Find
the face with all the 2s. Now
‘flex’ the shape to find the
face with all the 3s then the
face with all the letters.
Unscramble the letters to
find the name of a
mathematical shape.
1
3
1
7
3 Carefully cut along
the dark lines.
Copy these numbers and letters.
…on the front
…on the back
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Y5 B3 L13
HCM 58
Name _________________________Date ____________
Nets made with
equilateral triangles
• Draw nets of 3-D shapes
a Copy this net of an
octahedron on to
the triangular dot
grid.
b Cut out the net and
make up the shape.
You need:
G ruler
G scissors
G glue
G triangular dot
5
3
B
2
I
C
net: 12 triangles
4
D
D
5
A
B
C
D
E
4
© HarperCollinsPublishers Ltd 2008
E
E
64
paper
net: 8 triangles
A
a Copy this net of a
delta-dodecahedron
on to the triangular
dot grid.
b Cut out the net and
make up the shape.
c Gluing order: 1 to tab
2 to tab
3 to tab
4 to tab
5 to tab
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Page 65
Y5 C3 L3
HCM 59
Name _________________________Date ____________
Everyday estimating
Suggest suitable units and measuring equipment to
• estimate
or measure capacity
1
Find about 8 different bottles, jars or
containers in your kitchen and bathroom.
Turn each container so that you cannot
see the label for the number of millilitres.
For each item, write its name in column 1
and your estimate, in ml, in column 2.
Write the amount on the label in column 3.
Write the difference between your estimate and the
amount on the label in column 4.
2
3
4
5
You need:
G about 8
different
bottles, jars or
containers
Capacity in ml
Container
a
b
c
d
e
f
g
Estimate
Measure on label
Difference
h
Food items such as sauce,
tomato ketchup, jam and
marmalade are usually
measured in grams.
1
2
You need:
G 5 ml measure
or a medicine
spoon
Choose any one of the above items.
G food items
Find a way to measure, in millilitres, either:
● how much jam you spread on a slice of bread, or:
● how much sauce or ketchup you use for a portion of chips or other food.
Write about what you found out.
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Page 66
Y5 C3 L5
HCM 60
Name _________________________Date ____________
Time lines
• Use graphs to answer questions
Jay turned over a sand timer. The table shows
the height of sand.
Height
(mm)
0
20
40
40
40
20
0
1
Complete the line graph.
2
When did Jay turn over the timer
again?
3
How long does it take for the timer to
finish?
40
35
30
Height (mm)
Time
(minutes)
0
2
4
6
8
10
12
25
20
15
10
0
0
2
4 6 8 10 12
Time (minutes)
The table shows the volume of paint in a model paint sprayer.
Time
2 p.m.
2.20
2.40
3 p.m.
3.20
3.40
4 p.m.
Paint (ml)
20
0
80
60
60
50
30
1
Draw a line graph for the data.
Make your graph as easy as
possible to read.
You need:
G graph paper
2
Estimate the volume of paint at
a 2:10 p.m.
b 3:30 p.m.
3
Estimate when the sprayer contained 70 ml
of paint.
The table shows the amount of coffee in the office coffee pot.
Time
10 a.m.
10.30
11 a.m.
11.30
12 noon
12.30
1 p.m.
66
Coffee (ml)
500
200
0
300
200
200
400
© HarperCollinsPublishers Ltd 2008
1
Draw a line graph for the data.
2
Estimate the volume of coffee at 12:45 p.m.
3
Estimate when the coffee pot
contained 100 ml of coffee.
You need:
G graph paper
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Page 67
Y5 C3 L7
HCM 61
Name _________________________Date ____________
Cycling distance
time-graphs
• Use time-distance graphs to answer questions
Distance from Karl (metres)
Karl has a radio controlled steam roller.
The graph shows the journey.
You need:
G ruler
Karl’s steam roller
20
10
0
0
10
20
30
40
Time (seconds)
50
60
1
How far was the steam roller
from Karl at these times?
2 When was the steam roller these
distances from Karl?
a
20 seconds
a
5 m going
b
35 seconds
b
12 m going
c
46 seconds
c
8 m returning
3
How long did the journey
take?
4
70
For how long was the steam roller
stopped?
Time
Distance from
(minutes)
home (km)
0
10
20
25
35
50
0
3
4
6
6
0
Distance from home (km)
Karl cycled to the shops.The table shows the distances and times. Complete the graph.
Karl’s cycle trip to the shops
6
4
2
0
0
10
20
30
40
Time (minutes)
50
Describe Karl’s cycle journey.Write your description on the back of this sheet.
© HarperCollinsPublishers Ltd 2008
© HarperCollinsPublishers Ltd 2008
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Page 68
Y5 C3 L9
HCM 62
Name _________________________Date ____________
Coining it
• Collect and organise data to answer a question
You need:
G 5p coin
G Tally charts
PE
O
N
CE
TW
This game costs 5p to play.
1 Spin a 5p coin on the
playing area.
2 Add up the value of each coin your
5p touches.This is your prize money.
3 Do this 40 times. Record your winnings in the
tally chart.
TW
TW
PE
O
CE
TW
2
N
CE
TW
CE
N
2
CE
2
PE
O
N
CE
2
PE
O
PE
O
N
PE
O
N
TW
2
2
You need:
G 1 cm squared
paper
1 What is the mode of your winnings?
2 Do you think the game is fair?
Why?
3 Use square paper to draw a diagram to show your results.
How could you change the rules to make the game fair?
Play the game and calculate the new mode.
Do your rules give you a better chance of winning? Why?
Show your working on the back of this sheet.
68
© HarperCollinsPublishers Ltd 2008
© HarperCollinsPublishers Ltd 2008
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Page 69
Y5 D3 L2
HCM 63
Name _________________________Date ____________
Sports costs
• Use a calculator to solve problems
Use a calculator to find the total
cost in £ and p.
G calculator
Table
tennis bat
72p
£41
£17
£28
Tennis
racket
You need:
Hockey
stick
Table
tennis ball
58p
94p
Shuttlecock
Wristband
a 3 rackets and bat
e 10 balls and 3 wristbands
b 4 bats and 2 hockey sticks
f 2 wristbands and 8 shuttlecocks
c 5 rackets, a bat and a hockey stick
g 3 balls, 4 wristbands and
6 shuttlecocks
d 6 balls and 2 shuttlecocks
£19
£34
84p
£7.26
55p
Football boots
Tracksuit
Swimming trunks
Boot laces
Headband
a 3 pairs of football boots and a
tracksuit
d
2 headbands and 2 pairs of laces
b 5 tracksuits and a pair of trunks
e
A pair of trunks and 3 headbands
c 2 pairs of trunks and 3 pairs of
football boots
f
2 tracksuits and 3 pairs of laces
What tips would you give to someone about how to use a calculator involving money?
Write your tips on the back of this sheet.
© HarperCollinsPublishers Ltd 2008
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Page 70
Y5 D3 L5
HCM 64
Name _________________________Date ____________
Problem solving
• Solve word problems
You need:
G calculator
1 There are 203 children
2 80 adults and 40
in 7 classes.There is the
children were asked
3 Rav travelled 3·7 km by
same number of children
which car colour they
car, 35·2 km by train
in each class. However,
prefer. If one quarter of
and 1 km on foot. How
today five children are
those asked said they
many kilometres did
away from Year 5. How
preferred silver, how
Rav travel in total?
many children are in
many people preferred
Year 5 today?
silver cars?
1 A recipe needs 25 g of
butter, 75 g of sugar,
250 g of flour and 60 g
of cocoa.What is the
total weight of these
ingredients?
1
2 Four people paid £92
for football tickets.
What was the cost of
each ticket?
When is your birthday?
3 Lisa is 8 years old. Her
grandad is 7 times
older than she is. How
old is her grandad?
How many times does
your heart beat in a day?
How old are you?
How many months old are you?
3
Most people lose about 80 hairs
from their head each day.
How many hairs would you lose in:
How many weeks old are you?
January?
February?
2
70
A child’s heart beats about 82 times
a minute.
How many times does your heart beat
in an hour?
June?
August and September?
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Page 71
Y5 D3 L7
HCM 65
Name _________________________Date ____________
Finding the square units
the formula ‘length x breadth’ for the area of
• aUse
rectangle
Remember
Size of square
Circle the size of square you think is best
to measure these surfaces.
1 square millimetre
1 mm2
1 square centimetre
1 cm2
1 square metre
1 m2
a paperback book
b pop poster
c postcard
mm2 cm2
d bed cover
m2
mm2 cm2 m2
e bedroom floor
mm2 cm2 m2
f bedroom door
mm2 cm2 m2
g calculator key
mm2 cm2 m2
h compact disc
mm2 cm2
i £1 coin
mm2
cm2
m2
mm2
cm2
m2
1
These windows have square panes of glass.
Work out the area of glass in each window.
Show your working on the back of this sheet.
2
Which window will let in the most light?
© HarperCollinsPublishers Ltd 2008
mm2
cm2
m2
m2
71
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Page 72
Y5 D3 L9
HCM 66
Name _________________________Date ____________
Four-square designs
Complete symmetrical patterns with two lines of
• symmetry
at right angles
Example
Each pattern has 2 lines
of symmetry.
One sector
Complete pattern
You need:
G ruler
Lines of symmetry
Complete these patterns.
a
b
c
d
e
f
Make 3 different patterns with 2 lines of symmetry.
(Use two colours.)
You need:
G 2 coloured
pencils
a
72
b
c
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Page 73
Y5 E3 L4
HCM 67
Name _________________________Date ____________
Percentages
• Understand percentage as the number of parts in every 100
Look around your home. Can you find any percentages?
Look in the food cupboard on boxes, packets and tins.
Look in newspapers and magazines.Write any you find.
You need:
G ruler
G coloured pencils
1
2
1
2
Shade in 50% of these shapes.
a
b
c
d
Find 50% and 25% of these numbers.
a 100% = 12
b 100% = 32
50% =
50% =
50% =
50% =
25% =
25% =
25% =
25% =
c
d
Shade in 25% of these shapes.
a
b
c 100% = 60
d 100% = 84
Find 30% of these amounts.
a 100% = £84
b 100% = £48
c 100% = £200
d 100% = £104
10% =
10% =
10% =
10% =
30% =
30% =
30% =
30% =
Explain why fractions, decimals and percentages are connected.Write your
explanation on the back of this sheet.
© HarperCollinsPublishers Ltd 2008
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Page 74
Y5 E3 L6
HCM 68
Name _________________________Date ____________
Four in a row
• Understand percentage as the number of parts in every 100
For 2 players.
● Decide which version of the game you are going
to play.
● Take it in turns to roll the dice.
● See what percent of the grid you can colour in by
looking at the table below.
● Colour your squares in your colour pencil.
● Keep going until the grid is completely coloured.
● Work out your total percentage.
The person with the greater percent is the winner.
Dice
%
1
2
3
4
5
6
25% 10% 10% 5% 20% 20%
Dice
%
You need:
G two coloured
pencils
G a 1-6 dice
1
2
3
4
5
8% 17% 1% 11% 15% 21%
On the back of this sheet write both your total percentages as a fraction
and a decimal.
74
6
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Page 75
Y5 E3 L7
HCM 69
Name _________________________Date ____________
Temperatures around
the world
Solve one-step and two-step problems involving whole
• numbers
and decimals, choosing and using appropriate
calculation strategies
Look at a newspaper. Find the information that tells you
the temperatures in different cities around the world. Choose You need:
G newspaper
6 cities and write the temperatures into the table below.
City
Temperature
1
Put the places in order from hottest to coldest.
2
What is the difference in degrees between the hottest and the coldest place?
1
If the temperature rose by 17 degrees in your coldest place what would the
temperature be then?
2
What is the average temperature for the 6 cities?
HINT
To find the average
temperature, add together
If the temperature in all your cities rose by 10%,
all 6 temperatures and
what would the temperatures be then? Write your
then divide by 6.
answers on the back of this sheet.
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Page 76
Y5 E3 L9
HCM 70
Name _________________________Date ____________
How many?
• Solve problems involving proportions of quantities
1
Two brothers have 20 stickers to share
out between them. The older brother
decides for every three his brother has,
he will have one.
Complete the table to work out how
many stickers they both get.
Answer
2
To make a litre of green paint you need
2 tins of blue paint for every 3 tins of
yellow paint. How many tins do I need to
make 5 litres of paint?
Complete the table to help you work
it out.
Answer
Blue
2
1
Chicken must be cooked 50 minutes for
every kg. How long does it take to cook a
4 kg chicken?
Complete the table to help you work it out.
Answer
Cooking time
50 minutes
Chicken
1 kg
2
To make up the orange drink, you need
10 ml of squash for every 100 ml of water.
I have 50 ml of squash, so how much can
I make up?
Complete the table to help you work it out.
Answer
Squash
10 ml
Water
100 ml
Older brother Younger brother
1
3
Yellow
3
Amount
1 litre
550 ml of orange drink is enough for 4 people. How much squash and how much
water do you need to make this amount? Show your answer and working out on
the back of this sheet.
76
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Page 77
Name _________________________Date ____________
Y5 E3 L11
HCM 71
Reviewing written
multiplication and division
Use efficient written methods to multiply and divide
• HTU
x U,TU x TU, U.t x U and HTU ÷ U
For each calculation, approximate the answer first, and write it in the bubble.Then
work out the answer. Show all your working.
a 456 x 7
b 867 x 5
c 6·8 x 8
d 9·4 x 6
a 83 x 75
b 64 x 37
c 92 x 51
d 77 x 28
a 765 ÷ 8
b 348 ÷ 7
c 504 ÷ 4
d 883 ÷ 8
© HarperCollinsPublishers Ltd 2008
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Page 78
Y5 E3 L14
HCM 72
Name _________________________Date ____________
Number sequences
• Explain a generalised relationship in words
Fill in the missing numbers in each sequence.Write down the rule.
a 4, 10, 16, 22, 28, 34,
b 120, 109, 98,
,
,
,
,
, 70
Rule:
,
,
,
,
, 32, 21, 10, –1
Rule:
c 2, 4, 8, 16, 32, 64,
,
,
,
,
Rule:
d 27, 36,
,
,
, 90, 99, 108, 117, 126 Rule:
,
,
e 1, 3, 9,
, 81, 243
, 2187,
f 352, 345,
, 331, 324,
, 310,
a 1, 3, 7, 15, 31, 63, 127, 255,
b 2, 8, 26, 80,
,
c 6, 7,
, 12,
d 1, 8,
, 778,
e 100, 195, 385,
f 100, 98,
, 88,
,
, 21,
, 19 683
,
,
,
,
, 289,
,
, 70,
Rule:
Rule:
, 19 682, 59 048
, 34, 42,
,
, 275
,
, 61, 72
, 77 778
,
Rule:
Rule:
Rule:
Rule:
, 6085, 12 165
, 44, 28,
Rule:
Rule:
On the back of this sheet, write one number sequence for each of the following
rules. Include 10 numbers in each sequence.Write down your rule.
●
●
●
●
●
78
Add or subtract the same number each time.
Multiply or divide the same number each time.
Add or subtract a changing number.
Add the two previous numbers.
Combine two operations.
© HarperCollinsPublishers Ltd 2008