homework pack yr4 awd4wps.weebly.com/uploads/1/3/5/2/13526370/homework_book_4.pdf · homework pack...

4444

Homework Pack 4Written by teachers for teachers to support the renewedPrimary Framework, Collins New Primary Mathsis a whole-school numeracy programme that buildsand develops all the key skills needed to be successful in mathematics. Homework activities allow practice of the objectives covered in the daily lessons.

Browse the complete CollinsEducation catalogue atwww.collinseducation.com

ISBN 978-0-00-722036-6

9 780007 220366

HomeworkPack 4HomeworkPack 4

Peter ClarkeSeries Editor

Peter ClarkeSeries Editor

Linked to the dailylesson plans An average of one activityevery two weeks

Differentiated activitiesTarget individual learningneeds with activitiesstructured at three levels

Clear instructionsSupport children beyondthe classroom with clearand stimulating activities

HOMEWORK_PACK_yr4_AW 10/10/07 12:21

Homework Pack 4

Series Editor: Peter Clarke

Authors: Jeanette Mumford, Sandra Roberts, Andrew Edmondson

CNPM_HCM_4_[01-06] 26/11/07 12:46 Page 1

Published by CollinsAn imprint of HarperCollinsPublishers 77 – 85 Fulham Palace RoadHammersmithLondon W6 8JB

© HarperCollinsPublishers Limited 2008

10 9 8 7 6 5 4 3 2 1

ISBN-978-0-00-722036-6

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 publicationmay make unlimited duplicate copies for use exclusively within thatinstitution. Permission does not extend to reproduction, storage within aretrieval system, or transmittal in any form or by any means, electronic,mechanical, photocopying, recording or otherwise, of duplicate copies forloaning, renting or selling to any other institution without the permission ofthe Publisher.

British Library Cataloguing in Publication DataA Catalogue record for this publication is available from the British Library

Cover design by Laing&CarrollCover artwork by Jonatronix LtdInternal design by Mark Walker and Steve Evans DesignIllustrations by Mark Walker and Steve Evans Edited by Jean RusteanProofread by Amanda Whyte

Printed and bound by Martins, the Printers, Berwick-upon-Tweed

Browse the complete Collins catalogue atwww.collinseducation.com

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 aflourishing publishing house. Today, staying true to this spirit, Collins books are packed withinspiration, innovation and practical expertise. They place you at the centre of a world ofpossibility and give you exactly what you need to explore it.

Collins. Freedom to teach.

CNPM_HCM_4_[01-06] 26/11/07 12:46 Page 2

ContentsUnit A1HCM 1 Writing whole numbers

Partition four-digit numbers

HCM 2 Constant calculatorUse a calculator

HCM 3 Reviewing multiplication factsKnow facts for the 2, 3, 4, 5 and 10 times table

HCM 4 Calculating mentallyMultiply and divide numbers by 10 and 100. Double and halve two-digit numbers

Unit B1HCM 5 Adding multiples of 10

Use addition facts to add multiples of 10 or 100

HCM 6 At the supermarketSolve one-step and two-step word problems

HCM 7 Know your 6 times tableKnow the 6 times table

HCM 8 Know your 8 times tableKnow the 8 times table

HCM 9 I spy isosceles trianglesRecognise isosceles triangles within a pentagon

HCM 10 Investigating regular polygonsTest a rule about the number of lines of symmetry that regular polygons have

Unit C1HCM 11 Distance dominoes

Know the equivalent of 1–2 , 1–4 , 3–4 and 1–10 of 1 kilometre in metres

HCM 12 Musical instrument surveyUse tally charts and pictograms to present data

HCM 13 Football results bar chartUse tables and bar charts to present data

HCM 14 Timed signatureCollect data and present it using tables and diagrams

Unit D1HCM 15 Library problems

Solve one-step and two-step word problems

HCM 16 Jewellery in millimetresRecord estimates and use a ruler to measure lengths

HCM 17 Measuring timeRead the time from a clock with hands to the nearest minute, and from a 12-hour digital clock

HCM 18 Capital lettersKnow when a line is horizontal or vertical

CNPM_HCM_4_[01-06] 26/11/07 12:46 Page 3

Unit E1HCM 19 Finding out about nine

To multiply by 9, multiply by 10 and adjust

HCM 20 Simple sevensKnow the 7 times table

HCM 21 Colour that fractionFind fractions of shapes

HCM 22 Light bulb fractionsFind fractions of numbers

HCM 23 Fractions at homeUse diagrams to identify equivalent fractions

HCM 24 Flower fractionsUnderstand mixed numbers

Unit A2HCM 25 Addition calculations

Use written methods to add two-digit and three-digit whole numbers

HCM 26 Decimals at homeRelate decimals to money

HCM 27 What's the next number?Recognise and continue number patterns

HCM 28 Multiplying large numbersMultiply a two-digit number by a one-digit number

Unit B2HCM 29 Patterns patterns

Identify and use patterns and relationships of numbers

HCM 30 Mathematical puzzlesSolve mathematical puzzles

HCM 31 Reviewing multiplication and division factsKnow the multiplication facts up to 10 x 10 and the related division facts

HCM 32 Doubling and halvingDouble and halve two-digit numbers and two-digit and three-digit multiples of 10

HCM 33 Picture itDescribe and visualise 2-D shapes

HCM 34 Grid patternsMake patterns by repeatedly translating a shape

Unit C2HCM 35 Fruit tray weights

Measure weights in grams and kilograms

HCM 36 Skates and scootersUse tables and pictograms to present data

HCM 37 Racing game bar chartUse table charts, bar charts and pictograms to present data

HCM 38 NewsCollect and organise information to help answer a question

Contents

CNPM_HCM_4_[01-06] 26/11/07 12:46 Page 4

Unit D2HCM 39 What can it be?

Use written methods to add

HCM 40 Multiplying 2-digit numbersMultiply a two-digit number by a one-digit number

HCM 41 Cross over weightsSolve problems involving weight

HCM 42 Routes to the gameSolve puzzles using compass directions

Unit E2HCM 43 Know your division facts

Know the division facts related to the multiplication facts up to 10 x 10

HCM 44 Choose a numberMultiply a two-digit number by a one-digit number

HCM 45 Lengthy fractionsFind fractions of numbers and quantities

HCM 46 Melting fractionsRecognise equivalent fractions

HCM 47 Makes oneIdentify pairs of fractions that total 1

HCM 48 Decimals and fractionsRecognise equivalent decimals and fractions

Unit A3HCM 49 Alligator egg sizes

Order and round numbers

HCM 50 Fairground addition and subtractionAdd and subtract pairs of two-digit numbers

HCM 51 Reviewing multiplication and divisionUse the relationship between multiplication and division

HCM 52 DivisionDivide a two-digit number by a one-digit number

Unit B3HCM 53 Adding and subtracting multiples

Use addition and subtraction facts

HCM 54 How much?Solve problems involving money, using a calculator

HCM 55 Finding multiplesRecognise multiples of numbers to 10, up to the tenth multiple

HCM 56 Missing numbersSolve mathematical problems or puzzles

HCM 57 Circular cutsMake shapes by folding and cutting paper

HCM 58 Net for a square-based pyramidMake a 3-D shape from its net

Contents

CNPM_HCM_4_[01-06] 26/11/07 12:46 Page 5

Unit C3HCM 59 Filling cylinders

Record readings from scales to the nearest 50 ml

HCM 60 Drinks salesCollect data and present it in a table, pictogram and bar chart

HCM 61 Coin collectionCollect data and present it using bar charts and pictograms

HCM 62 Light bulbsPresent data using charts

Unit D3HCM 63 Subtraction problems

Refine written methods for subtraction

HCM 64 Puzzling capacityRecord measurements and solve problems involving capacity

HCM 65 Areas of shapesFind the area of rectangles and other shapes by counting squares

HCM 66 Today's TV guideWork out start and finish times

Unit E3HCM 67 Multiplying larger numbers

Multiply a two-digit number by a one-digit number

HCM 68 Dividing larger numbersDivide a two-digit number by a one-digit number

HCM 69 Fraction number linesFind fractions of numbers or quantities

HCM 70 Calculator decimalsRecognise equivalent decimals and fractions

HCM 71 Office partsUse the vocabulary of ratio and proportion

HCM 72 Proportion problemsUse the vocabulary of ratio and proportion

Contents

CNPM_HCM_4_[01-06] 26/11/07 12:46 Page 6

• Partition four-digit numbers

1 Complete the calculations by making the number from its parts.

a 4000 + 800 + 50 + 2 = b 6000 + 500 + 20 + 7 =

c 9000 + 200 + 3 = d 300 + 60 + 8 + 2000 =

2 What is each underlined digit worth?

a 2681 b 5082 c 3458

3 Complete the calculations.

a 5649 = + 600 + 40 +

b 7651 = 7000 + + + 1

1 Complete the calculations.

a 1971 + 1000 = b 5843 – 100 =

2 Write these numbers using words.

a 2491

b 9060

3 a Count on in tens.

b Count on in hundreds. 2850

6782

On the back of this sheet, writedown all the possible four-digitnumbers you can make using thesedigits.

© HarperCollinsPublishers Ltd 2008

Name _________________________Date ____________

Y4 A1 L1HCM 1

Writing whole numbers

5 0 3 8

CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 7

Constant calculator

Calculators have a constantfunction.This means theycan count on and back in different steps.

Some calculators work a bitdifferently so you will have tocheck how your calculatorworks.

1 Count on in steps of 4,starting from 0.Write down all the numbersyour calculator shows.

2 Choose your own starting number and a step to count on from.Write down all your numbers.

Count on in steps of starting from

Explain how the constant function on your calculator works.

Name _________________________Date ____________

Y4 A1 L4HCM 2

You need:

� calculator

I want to count in 4sstarting from 0 so I

press 4++, thenevery time I press =the calculator will

count on 4.


• Use a calculator

CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 8

• Know facts for the 2, 3, 4, 5 and 10 times tables

a

b

c

d

e

2 2 4 6

3

4

5

10

Reviewingmultiplication facts

Name _________________________Date ____________

Y4 A1 L7HCM 3

Write the missing numbers in each of these tables.

Fill in the multiples for each number.

× 2

3 66

4

7

9

5 10 × 5

1

3

4

3 8 6 4 7

× 2

5

4

9

20

20

3 5

× 2

18

18

50 45 355

9

6 8

a b

a

b


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 9

• Multiply and divide numbers by 10 and 100• Double and halve two-digit numbers

Calculating mentally

1 Complete the tables.

a b

2 Double each of these numbers. 3 Halve each of these numbers.


a b



a b


Name _________________________Date ____________

Y4 A1 L10HCM 4

Number × 10 × 100

61235986

8 7 12 25 40 34 18 22 46 80 6 100

Number ÷ 10 ÷ 100

500800400070002200

Number × 10 × 100

265378150600

30 42 63 81 94 54 86 62 44 90 28 18

Number ÷ 10 ÷ 100

600100750012003400

Number × 10 × 100

6854 000

35207720

546 3000

37 49 93 56 68 75 82 96 72 58 94 36

Number ÷ 10 ÷ 100

7500350

41 30070 000

1234


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 10

• Use addition facts to add multiples of 10 or 100

Adding multiples of ten

1 a 60 + 20 = f 40 + 20 =

b 30 + 40 = g 80 + 10 =

c 10 + 50 = h 50 + 40 =

d 20 + 30 = i 60 + 30 =

e 70 + 20 = j 40 + 10 =

2 a 40 + 10 + 20 = d 70 + 20 + 10 =

b 30 + 10 + 30 = e 30 + 40 + 20 =

c 20 + 50 + 10 = f 60 + 20 + 10 =

a 60 + + = 130 g + 500 + = 1900

b 70 + 70 + = 200 h 100 + + = 1100

c 40 + 30 + = 180 i + + 300 = 900

d 60 + 60 + = 180 j 200 + + = 1500

e 80 + 40 + = 170 k 900 + + = 1700

f 70 + 20 + = 140 l 500 + + = 1700

On the back of this sheet, explain how you have used your addition facts to work out the answers to the calculations in the section.

Name _________________________Date ____________

Y4 B1 L1HCM 5

10 20

140

40

150

30

160

100900

80

50

60

70

120

130

1700

1800

200

1100

1900


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 11

98p63p

52p

£2.89

£3.85

£3.99

• Solve one-step and two-step word problems

At the supermarketName _________________________Date ____________

Y4 B1 L5HCM 6

a Joe buys a carton of milk and some chocolate biscuits.How much does he spend?

b Louise pays for her pizza with a £5 note. How muchchange does she get?

c Harriet wants to buy two packs of baked beans. How much money does she need to take to the supermarket?

d Sue buys pizza and milk.What is the total cost?

a Jamila buys beans and biscuits. She pays with a £5 note.What change will she get?

b William buys one of each item. How much does he spend?

c Polly has cheese, washing powder and milk written on her list. She has £20 in her pocket. How much will she have left after she has done her shopping?

d Daniel buys three items they come to £7.72.What were the three items?

What are the important things to remember when you solve a word problem?Write your list on the back of this sheet.


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 12

• Know the 6 times table

Know your 6 times tableName _________________________Date ____________

Y4 B1 L7HCM 7

1 Use the key facts to help you fill in the missing multiples of 6.

2 Use the key facts to help you answer these.

a 4 × 6 = b 9 × 6 = c 3 × 6 = d 5 × 6 =

e 7 × 6 = f 8 × 6 = g 11 × 6 = h × 6 = 42

i × 6 = 36 j 6 × = 54 k 6 × = 18

Complete each number fact for 6.Multiply by 4, multiply by 2 and add the two answers together.

Using the number fact 6 × 9 = 54, which other number facts can you work out theanswers to? Write as many calculations as you can on the back of this sheet.Here are two: 90 × 60 = 5400 540 ÷ 90 = 6

6 6 12 30 60

1× 2× 5× 10×

a b

c d

e f

g h

8 × 6

4 × 6

5 × 6

7 × 6 10 × 6

6 × 6

9 × 6

3 × 6+

=+

+

=+

+

=+

+

=+

+

=+

+

=+

+

=+

+

=+

8 × 4 8 × 2

32 16


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 13


Know your 8 times tableName _________________________Date ____________

Y4 B1 L8HCM 8

Complete each multiplication fact for 4 by doubling and doubling again.

Complete each multiplication fact for 8 by multiplying by 4, then doubling your answer.

On the back of this sheet, write a list of all the multiples of 4 from 4 to 80.Write another list of all the multiples of 8 from 8 to 80.Which numbers appear inboth lists? Explain why these numbers are in both lists.

6 12 24 6

6 6

6 6

a 6 × 4

6

double double b 5 × 4

5

×2 ×2

c 8 × 4

8

×2 ×2 d 4 × 4

4

double double

e 7 × 4

7

double ×2 f 9 × 4

9

×2 ×2

6 24 48 6

6 6

6 6

6 6

a 6 × 8

6

×4 double b 5 × 8

5

×4 double

c 9 × 8

9

×4 ×2 d 8 × 8

8

×4 ×2

e 3 × 8

3

×4 double f 4 × 8

4

×4 ×2

g 7 × 8

7

×4 ×2 h 12 × 8

12

×4 double


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 14

• Recognise isosceles triangles within a pentagon

I spy isosceles trianglesName _________________________Date ____________

Y4 B1 L11HCM 9

Draw the diagonals on a pentagon.

Find an isosceles triangle and colour it in.

For each pentagon, find a different isosceles triangle.

All the sides of this pentagon are equal.All the diagonals are drawn.

How many different isosceles triangles can you find in the pentagon?


You need:

� ruler

� coloured pencil

CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 15

Investigating regular polygons


Draw all the lines of symmetry in these regular shapes.

True or false?

1 Cut out the six shapes below.

2 Find all the lines of symmetry by folding.

3 Complete this table.

Name _________________________Date ____________

Y4 B1 L12HCM 10

• Test a rule about the number of lines of symmetry thatregular polygons have

You need:� ruler� scissors

Number of equal sides 3 4 5 6 7 8Number of lines of symmetry

The number of lines of reflective symmetry in a regular polygon is equal to the number of sides of the polygon.

a b c d

CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 16

Distance dominoes


Name _________________________Date ____________

Y4 C1 L3HCM 11

• Know the equivalent of 1–2 , 1–4 , 3–4 and 1–10 of 1 kilometre in metres

You need:

� scissors

A game for 2–4 players.

The length on the right-hand side of one domino should total 1 km when added to the length on the left-hand side of the next one.

How to play:

� Cut out the dominoes.� Place the dominoes face down on the table, shuffle

and take 7 dominoes each.� On your turn, join to a domino so that the matching lengths total 1 km.� If you cannot go, collect another domino.� The winner is the first player to have no dominoes left.

km 500 m12

km

500 m

12

0.5 km 250 m km 750 m12 0.5 km 100 m

km 900 m12 0.25 km 500 m km 250 m1

4 0.25 km 750 m

km 100 m14 0.25 km 900 m km 500 m3

4 0.75 km 250 m

km 750 m34 0.75 km 100 m km 900 m3

4 0.1 km 500 m

km 250 m110 0.1 km 750 m km 100 m1

10 0.1 km 900 m

km 500 m910 0.9 km 250 m km 750 m9

10 0.9 km 100 m

km 900 m910 500 m 750 m 250 m 100 m 750 m 900 m

0.5 km

250 m

CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 17

Musical instrument survey

1 Ask family and friends:“What musical instrument do you like best?”

2 Make a tally mark for each choice.

3 Write the frequencies.

1 Complete the pictogram.

2 Now answer these questions.

a Which is the most popular instrument?

b What is the frequency for piano?

c How many people chose the violin?

d Which instrument has the lowest frequency?

On the back of this sheet,draw a bar chart to show the data you collected.

Name _________________________Date ____________

Y4 C1 L5HCM 12

Key

= 2

Instrument Tally Frequency

violinpianoguitarsaxophone

violin

piano

guitar

saxophone

Favourite musical instruments

Numbers of instruments


• Use tally charts and pictograms to present data

You need:

� ruler� coloured pencil

CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 18

You need:

� sports section from anewspaper

� ruler � coloured pencil

Football results bar chartName _________________________Date ____________

Y4 C1 L7HCM 13

1 Find the goal totals for each match.

2 Make a tally mark for each total.

3 Count your tally marks.Write the frequencies in your table.

1 Complete the bar chart.

2 What is the mostcommon goal total?

3 In how manymatches were threegoals scored?

4 In how many matcheswere less than twogoals scored?

5 How many matcheswere played altogether?

Collect 30 football results from somefootball matches. On the back of this sheet,draw a bar chart to show the results.Write three sentences that compare yourresults with the results above.

0–02–0

0–00–12–00–2

0–0

1–2

1–10–2

3–01–0

2–1

1–1

0–01–1 1–1

0–1

1–22–0

0–3

1–11–0 1–1

0–0

1–1

0–2

3–0

2–1

0–0 Goal Total Tally Frequency

0123

← goal total = 3

← goal total = 0

Total goals scored

Goal total

00 1 2 3

2

4

6

8

10

12

14

Num

ber

of m

atc

hes


• Use tables and bar charts to present data

CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 19

Timed signature

Peter Anthony Chong’s nickname is Chips.He recorded the number of times he couldwrite each part of his name in 1 minute.

The table shows his results.

1 Which name took the longest to write?


1 On a sheet of paper, write each part of your name down as many times as you can in one minute. Use a watch or clock to time one minute.

2 Record the totals in the table.

3 On the back of the sheet draw a bar chart to show your results.

1 Ask someone at home to repeat the activity. Record the number of times theycan write YOUR NAME in one minute.

2 Record the results in the table.

3 On the back of this sheet draw a bar chart to show their results.

4 Write two sentences comparing your results with theirs.

Name _________________________Date ____________

Y4 C1 L10HCM 14

Names written in 1 minute

Name

0Peter Anthony Chong Chips

2

4

6

8

10

12

14

Num

ber

of t

imes

You need:

� watch or clock � paper

Name Number of timesPeter 14Anthony 7Chong 12Chips 9

Name Number of times

Name Number of times


• Collect data and present it using tables and diagrams

CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 20

• Solve one-step and two-step word problems

Library problemsName _________________________Date ____________

Y4 D1 L3HCM 15

2 On the novels shelf, there are 45books.The librarian removed 17of the books. How many are left?

2 In the History section, there are88 books. 24 are taken out onMonday. How many are left?

1 The library has 87 books aboutwhales. As they were so popular,the librarian bought 21 more.How many whale books arethere altogether now?

On the back of this sheet, write a word problem that you would need to use acalculator to solve.

1 A class borrowed 27 books oneweek, 19 the next and 38 thenext. How many books did theyborrow altogether? They returned46 books late. How many didthey return on time?


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 21

Jewellery in millimetresName _________________________Date ____________

Y4 D1 L4HCM 16

Estimate and measure the length of each bracelet tothe nearest centimetre. Record in the table below.

1 Measure the length ofeach bracelet to thenearest millimetre.

2 Round eachmeasurement to thenearest 10 mm.Write the roundedlength in cm.

a

b

c

d

e

Length of bracletsActual lengthin mm

92 mm 90 mm 9 cm

Round tothe nearest

10 mm

Roundedlengthin cm

You need:

� rulera

b

c

de

Rememberto include thefastenings at

the ends.


a 10cm 7·5cmb

c

d

e

Length of braclets

Estimate incm

Actual lengthin cm

• Record estimates and use a ruler to measure lengths

CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 22

• Read the time from a clock with hands to the nearestminute, and from a 12-hour digital clock

Measuring timeName _________________________Date ____________

Y4 D1 L6HCM 17

12 12

3

4

567

8

9

10

11 12 12

3

4

567

8

9

10

11 12 12

3

4

567

8

9

10

11 12 12

3

4

567

8

9

10

11

6:14 9:03 5:58 12:44

Draw the hands to show these times on the analogue clock faces.

a b c d

1 Look at the time on each of the analogue clocks and write them on the 12-hour digital clock face.

a b c d

2 Write these times in order, earliest first.

7:10 a.m. 5:05 p.m. 6:36 a.m. 11:54 a.m. 2:37 p.m.

An old koala bear is trying to climb a 9 metre eucalyptus tree. He is so old that after climbing for 10 minutes, he has to rest for another 10 minutes. It takes him 10 minutes to climb 2 metres. Alas, while resting, he slips down the trunk for 1 metre. How many minutes will it take the koala to get to the top of the tree?

12 12

3

4

567

8

9

10

11 12 12

3

4

567

8

9

10

11 12 12

3

4

567

8

9

10

11 12 12

3

4

567

8

9

10

11

: : : :

Hint: Make apicture or draw a

diagram.


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 23

You need:

� ruler� blue, green and

red colouredpencils

• Know when a line is horizontal or vertical

Capital letters

You can draw 15 CAPITAL letters using only straight lines.

True or false? Investigate.

1 On the square dot grid, draw the letters using straight lines connecting dots in pencil.

2 Rule the horizontal lines blue, the vertical lines green and the diagonal lines red.

1 Write the letters which have:

Set A horizontal and vertical lines only

Set B red lines only

Set C horizontal and diagonal lines

Set D vertical and diagonal lines

2 a Which letter does not belong to Sets A to D?

b Describe the letter.

Name _________________________Date ____________

Y4 D1 L9HCM 18

1 2 3 4 5

6 8 9 10 11

12 13 14 15 16


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 24

• To multiply by 9, multiply by 10 and adjust

Finding out about nineName _________________________Date ____________

Y4 E1 L2HCM 19

To multiply by 9, multiply by 10 first.Then adjust your answer bysubtracting the number you are multiplying 9 by. Show your working.

Find your way around the obstacle course.Multiply each number by 9 and write the answer.

On the back of this sheet, write down any eight numbers from 50 to 99.Then multiply each number by 9.

a 8 9 = b 6 9 = c 9 9 =

d 17 9 = e 15 9 = f 13 9 =

8 10 = 80

8 9 = 7280 – 8 = 72

a

b

c

d

f

e

gh

12 9 =

16 9 =

18 9 =

21 9 =

23 9 =

26 9 =

34 9 =

37 9 =

HINTHINTMultiply by 10 then

subtract the number youare mutiplying 9 by


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 25


Simple sevensName _________________________Date ____________

Y4 E1 L4HCM 20

Colour all the multiples of 7.

1 On the left-hand side are the multiplication facts you have learned already.

a Write the answers.

b Use them to help you work out the answers to the 7 times table.

c Draw a line to show the matching facts.

2 What is 7 × 7?

On the back of this sheet, write down all the multiples of 7: 7, 14, 21 … 70.

Then write down their units digit: 7, 4, 1 …

Investigate patterns in the sequence of units digits in the multiples of 7.

10

4217

35

65

21

70

24

32

49

29

63

7

56

1445

28

7 5 =

7 8 =

7 4 =

7 10 =

7 3 =

7 9 =

7 1 =

7 0 =

7 2 =4 7 =

0 2 =

3 7 =

1 7 =

5 7 =

2 7 =

9 7 =

10 7 =

6 7 =

8 7 =

7 6 =


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 26

You need:� coloured pencils � ruler

Colour that fraction

Look at the shapes and colour the fraction shown.

Draw a shape to represent each fraction.

a 1–2b 3–4

c 3–5

d 2–6e 2–8

f 4—10

Make sure you divide your shapes into equal parts!

Explain what a fraction is.Write your explanation on the back of this sheet.

Name _________________________Date ____________

Y4 E1 L6HCM 21

• Find fractions of shapes

a b c

d e f

14

16

18

13

34

15


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 27

Light bulb fractions

Name _________________________Date ____________

Y4 E1 L8HCM 22

• Find fractions of numbers

You need:

� coloured pencils

1 Write the fractions using numbers.

a quarter b half c third

d fifth e tenth f three quarters

2 Colour one light bulb in each picture.What fraction is one light bulb?

a b c

d e f

Each set of lights has a broken bulb.Join the fraction to the matching set of lights.

Change the number of broken light bulbs on each set of lights in the sectionand write the new fraction. Do this 5 times. Show your working and the answerson the back of this sheet.

13

15

12

110

18

14


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 28

• Use diagrams to identify equivalent fractions

Fractions at home

1 Look around your home and find two objects that have fractions on them.Draw the object and label the fractions.

2 Look at the objects you have drawn.Choose one of them and draw it again and show an equivalent fraction.

Write down two examples of when you use fractions in real life.

Name _________________________Date ____________

Y4 E1 L11HCM 23


1–2 of the window and 2–4are the same.

CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 29

• Understand mixed numbers

Flower fractionsName _________________________Date ____________

Y4 E1 L12HCM 24

Write down the number of flowers in words and numbers.

1 Write the number of flower trays as a mixed number.

2 Join each fraction to a flower pot.

These rabbits share some flowers. How many flowers does each rabbit eat?

2 two and a half

12

This is 1 one flower

a b c d

a b c

a

b c

d33

4

214

223

335

a b c

2 34


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 30

• Use written methods to add two-digit and three-digit whole numbers

Addition calculations


Name _________________________Date ____________

Y4 A2 L2HCM 25

Work out these calculations.They have already been written out vertically.

Write these calculations out vertically, then work out the answers.

On the back of this sheet, write down three three-digit numbers and add the threenumbers together.

48+54

97+23

55+76

42+53

05995

a

d e f

14+25

b36

+72

c

34+65

00099

2

2

992

a b c

d e f

+ +

+ + +

381 + 47 = 362 + 94 =

238 + 171 = 354 + 273 = 465 + 319 =

243 + 56 =

CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 31

• Relate decimals to money

Decimals at home

1 Find some amounts of money at home.You can look at price tags and receipts.Write down six different amounts intwo ways: as pence only and as pounds and pence.

Put these amounts in order from lowest to highest.

a £6.87 £6.73 658p £6 568p £5.86

b £3.72 384p 348p £3.27 £3.47 374p

c £10.24 £10.42 1242p 1422p £12.24 1424p

Add 1p to the following amounts.

a £3.09

b 599p

c £5

d 1299p

e £6.09

Name _________________________Date ____________

Y4 A2 L4HCM 26

2


CNPM_HCM_4_[07-42] 26/11/07 13:00 Page 32

• Recognise and continue number patterns

What’s the next number?Name _________________________Date ____________

Y4 A2 L6HCM 27

Find the missing numbers by adding or subtracting the number shown.

Complete the table by adding or subtracting the number shown each time.Keep going until you reach the finish number.

On the back of this sheet, write 5 different number sequences. Each numbersequence must have 5 numbers in it and include at least two negative numbers.Make sure you know the rules for each of your number sequences.Then asksomeone at home to write the next 5 numbers in each of your number sequences.When they have finished, check their answers!

– 5 ← → + 5

a 20

b 35

c 5

d 0

e 3

– 3 ← → + 3

f 6

g 15

h 10

i 3

j 0

– 2 ← → + 2

k 2

l 5

m 0

n 1

o – 1

– 4 ← → + 4

p 4

q 0

r 1

s 3

t 8

2515

CountSTART → forwards Number sequence FINISH

← backwards

a 15 ← 3 , , , , , ,b 11 ← 4 , , , , , ,c 5 → 3 , , , , , ,d 7 ← 2 , , , , , ,e 9 → 5 , , , , , ,f 3 ← 3 , , , , , ,g 2 → 4 , , , , , ,h – 4 ← 4 , , , , , ,i – 20 → 3 , , , , , ,

12 9 6 3 0 –3 –6 –9


CNPM_HCM_4_[07-42] 26/11/07 13:01 Page 33

• Multiply a two-digit number by a one-digit number

Multiplying large numbers

Partition each of these calculations.Then work out the answers.

a 36 × 3 b 45 × 8

c 39 × 4 d 52 × 6

e 39 × 5 f 27 × 4

g 86 × 2 h 64 × 3

For each calculation, approximate your answer first and write it in the thought bubble.Then work out the answers using a written method.

a 37 × 4 b 48 × 4

c 39 × 4 d 52 × 6

e 39 × 5 f 27 × 4

On the back of this sheet, check each of your answers from the section using adifferent written method.

Name _________________________Date ____________

Y4 A2 L10HCM 28

= (30 × 3) + (6 × 3)= 90 + 18= 108


CNPM_HCM_4_[07-42] 26/11/07 13:01 Page 34

• Identify and use patterns and relationships of numbers

Patterns patterns

1 Look at some numbers of the houses or flats where you live.Write them in the box.What patterns can you see?

2 Continue these sequences.

a 35 37 39

b 100 98 96

c 6 12 18

d 40 37 34

1 Make up a sequence of at least five numbers and explain the rule.

2 Helen says, ‘Whenever I make up a pattern of adding five, the numbers alwaysend in two alternating digits’.

Make up three sequences of adding five to see if this is true.

a

b

c

Is Helen right?

Justify the decision you made in the activity.

Name _________________________Date ____________

Y4 B2 L1HCM 29


CNPM_HCM_4_[07-42] 26/11/07 13:01 Page 35

• Solve mathematical puzzles

Mathematical puzzles

1 Write numbers in the blankboxes so that the sevennumbers are in order.

2 Write all the different ways can you think of.

1 Investigate different ways of completing this addition statement using any 4 digit cards.

2 You can only use each digit card once in each calculation.

3 How many different calculations can you make?

1 On the back of this sheet choose a two-digit number and multiply the number by 7.

2 Take the last two digits of your answer and multiply this new two-digit number by 7.

3 Keep doing this.

4 What do you notice?

5 What if you multiply a two-digit number bya different number?

Name _________________________Date ____________

Y4 B2 L5HCM 30

0 1 2 3 4 5 6 7 8 9

–5 –3 1 4

+ =100

2 2 7 = 1 5 4

5 4 7 = 3 7 8

7 8 7 =

4 6 7 = 3 2 2


CNPM_HCM_4_[07-42] 26/11/07 13:01 Page 36

Reviewing multiplication and division facts

Cut out the puzzle along the dashed lines and jumble up thepieces.Work out the answers to the multiplication and divisionfacts to put the puzzle back together.

Name _________________________Date ____________

Y4 B2 L7HCM 31

• Know the multiplication facts up to 10 ×× 10 and therelated division facts

You need:

� scissors

7 × 3

21

9 × 545

9 × 3

27

5 × 5

25

2

2 × 1

4 × 4

16

189 ×

2

8 × 4

32

5 × 1

5

8 × 324

100

10 × 10

6 × 424

4 × 2

8

7 × 5

35

3 × 3

96 × 10

60

8

32 ÷

4

24 ÷

4

287 ×

4

33

11 ×

3 880 ÷

10

123 × 4

9

45 ÷ 5 660 ÷ 10

618 ÷ 3

68

40 ÷

5 284 × 7

36 ÷ 2

918 ÷ 2

27

3 × 9

5

25 ÷ 5

484 ×

12

306 × 5

515 ÷ 3

147 ×

2 30

5 × 6

12 ÷ 2


CNPM_HCM_4_[07-42] 26/11/07 13:01 Page 37

• Double and halve two-digit numbers and two-digitand three-digit multiples of 10

Doubling and halving

1 Use the counters (or buttons) to cover all the numbers on the cups and saucers.

2 Take turns to remove one counter from a cup and one from a saucer.

3 If one of the numbers is double (or half) the other number, keep both counters. If not, put the counters back.

4 The winner is the player with more counters once all the counters have beenremoved from the cups and saucers.

Doubling and halving two-digit and three-digit numbers

Doubling and halving two-digit and three-digit multiples of 10

Name _________________________Date ____________

Y4 B2 L9HCM 32

You need:

� 30 counters orbuttons


CNPM_HCM_4_[07-42] 26/11/07 13:01 Page 38

• Describe and visualise 2-D shapes

Picture itName _________________________Date ____________

Y4 B2 L11HCM 33

1 Join the dots in the order shownto reveal the shape picture.Write its name in the box.

2 Look for shapes which aresymmetrical.

Draw the line or lines ofsymmetry.

3 Colour the regular shapes redand the heptagon blue.

1 2 3

4 5 6

7 8 9

3 – 4 – 6 – 3

1 2 3

4 5 6

7 8 9

7 – 2 – 9 – 7

1 2 3

4 5 6

7 8 9

1 – 3 – 9 – 7 – 1

1 2 3

4 5 6

7 8 9

1 2 3

4 5 6

7 8 9

1 2 3

4 5 6

7 8 9

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

a b c

d e f

You need:

� red and bluecoloured pencils

� ruler


Example

1 2 3

4 5 6

7 8 9

4 – 6 – 9 – 7 – 4

rectangle

CNPM_HCM_4_[07-42] 26/11/07 13:01 Page 39

Grid patterns

Continue each pattern and colour every second motif in the same colour.

a

b

Continue these patterns, colouring alternate motifs in the same colour.

a

b

c

Name _________________________Date ____________

Y4 B2 L13HCM 34

• Make patterns by repeatedly translating a shape

You need:

� coloured pencils


CNPM_HCM_4_[07-42] 26/11/07 13:01 Page 40

• Measure weights in grams and kilograms

Fruit tray weights

Read the clues.Write on the label the weight of each tray in grams.

Tray C is 1 kg Tray D is 1–4 kg Tray E is 1–4 kg Tray F is 200 g lighterheavier than B. lighter than C. heavier than B. than A and B together.

1 Use the information above to answer these questions.

a Trays and together balance Tray C.

Trays and together balance Tray D.

Trays and together weigh 13–4 kg.

b Which tray is:1–2 kg lighter than Tray D?

Twice as heavy as Tray E?

2 Write the letters of the three trays which together weigh:

2 kg + +

3 kg + +

3.5 kg + +

3 Put the six trays into these two shopping baskets so that the baskets balance.

Name _________________________Date ____________

Y4 C2 L1HCM 35

A

600 g 500 g

B C D E F

HINTHINTPut the heavy trays first


Clues

CNPM_HCM_4_[07-42] 26/11/07 13:01 Page 41

Skates and scooters

The table shows how Class 4B voted for their travel sport.

1 Complete the pictogram.Use to represent 2 votes.

2 Which is their favourite way to travel?

The table shows the travel sports tried by children in Class 4B.

1 Complete the pictogram.Use to represent 5 votes.

2 Which travel sport did fewest children try?

Look at the data in the activity.Three more children said they had tried rollerskates, two more said they had tried ice skates and one more said they had triedskateboarding and riding a scooter. On the back of this sheet, draw anotherpictogram. Use to represent 10 votes.

Name _________________________Date ____________

Y4 C2 L5HCM 36

Rollerskates

Favourite travel sport in Class 4B

Ice skates

Skateboard

Scooter

stands for 2 votes

Number of votes

Travel sport Frequency

Roller skates 12Ice skates 5

Skateboard 11Scooter 9

Travel sport Frequency

Roller skates 25Ice skates 10

Skateboard 15Scooter 35

Rollerskates

Travel sports tried by Class 4B

Ice skates

Skateboard

Scooter

stands for 5 children

Number of votes


• Use tables and pictograms to present data

CNPM_HCM_4_[07-42] 26/11/07 13:01 Page 42

• Use tally charts, bar charts and pictograms to present data

Racing game bar chart


Name _________________________Date ____________

Y4 C2 L6HCM 37

1 Spin the spinner. Record thescore in the table. Stop whenone score reaches 70.

2 Calculate the total score foreach car.

1 Complete the bar chart for your scores.

2 a Which car got the highestscore?

b What is the differencebetween the highest and thelowest scores?

Car Score Total

WhizzBangerTurboSonic

You need:

� pencil

� paper clip

� coloured pencil

Car race results

Car

0

10

20

30Sco

res 40

50

60

70

points

points points

points

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 43

• Collect and organise information to help answer a question

News

Do you think that people who read newspapers also watch the news on TV?

Write down your prediction.

Ask as many adults as you can the following two questions.

Do you read a newspaper every day?

Do you watch the news on TV most days?

Use a tick to record theiranswers in the Carrolldiagram.Write the totalsin the circles.

What is your conclusion?

Was your prediction correct?

Use ticks to complete theVenn diagram for the datayou collected.


Name _________________________Date ____________

Y4 C2 L10HCM 38

Newspaper

Nonewspaper

TV news no TV news

Newspaper TV news

Yes No

Yes No

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 44

a 315 + 147 =

e 659 + 217 =

b 428 + 167 =

f 864 + 117 =

c 515 + 249 =

g 706 + 268 =

d 437 + 256 =

206 + 175 =

60+ 571

18

2

3

6 + 5 = 11so I must “carry”the ten into the

tens column

1

• Use written methods to add

What can it be?

Write out these calculations vertically and then work out the answers.

Write out these calculations vertically and then work out the answers.

Explain to someone at home how the written method for addition works.Write your explanation on the back of this sheet.


Name _________________________Date ____________

Y4 D2 L2HCM 39

a 163 + 24 =

e 461 + 34 =

b 271 + 18 =

f 601 + 81 =

c 340 + 55 =

g 735 + 52 =

36+ 42

78

1

1

d 242 + 32 =

h 812 + 75 =

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 45


Multiplying 2-digit numbers

Work out the answer to each of these calculations. Show your workings on theback of the sheet.

a 60 × 8 = b 70 × 6 = c 90 × 3 =

d 40 × 7 = e 50 × 9 = f 30 × 8 =

For each calculation, approximate the answer first and write it in the thoughtbubble.Then use a written method to work out the answer.

a 62 × 4 = b 74 × 8 = c 96 × 6 =

d 83 × 7 = e 55 × 9 = f 48 × 5 =

a 167 × 8 = b 152 × 7 = c 188 × 6 =


Name _________________________Date ____________

Y4 D2 L4HCM 40

Example86 7 90 7 = 630

80 6560 560

or + 426021 1

7 42 560 (80 7)(6 7) + 42

86 7

602

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 46

60 kg

30 kg

35 kg

55 kg

• Solve word problems involving weight

Cross over weights

Two scouts and two cub scouts are at an adventure camp.

They need to cross a river.

Their small canoe can carryany weight up to 75 kg.

What is the least number of canoe trips needed to get everyone across?

There is a dog as well. It weighs 12 kg.

On which trip should the dog board the canoe?

Answer


Name _________________________Date ____________

Y4 D2 L6HCM 41

1

2

3

4

5

6

7

8

9

10

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 47

• Solve puzzles using compass directions

Routes to the game


Name _________________________Date ____________

Y4 D2 L9HCM 42

How many different routes can Simon takefrom his hotel to the baseball park if he cantravel only south-west or south-east?

Record each route on a different grid.Thereare some extra grids if you need them.

Hotel Hotel Hotel

Hotel Hotel Hotel

Hotel Hotel

Park Park Park

Park Park Park

Park Park

1SW, 2SE, 1SW

aExample

b

e

c d

f g

N

S

W E

NENW

SESW

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 48

• Know the division facts related to the multiplicationfacts up to 10 ×× 10

Know your division facts

A game for two players.

� Take turns to spin the spinner.

� If the number spun shows the answerto a division calculation on the gameboard, then cover it with one of yourcounters. If not, miss a turn.

� The winner is the first player to place5 of their counters in a column, rowor diagonal.


Name _________________________Date ____________

Y4 E2 L2HCM 43

You need:

� paper clip � pencil

� 40 counters (20 in onecolour. 20 in another)

8 ÷ 2 90 ÷ 10 12 ÷ 4 7 ÷ 7 35 ÷ 5 100 ÷ 10 40 ÷ 8 36 ÷ 6

24 ÷ 8 81 ÷ 9 10 ÷ 2 54 ÷ 6 6 ÷ 3 2 ÷ 2 20 ÷ 5 90 ÷ 9

50 ÷ 5 6 ÷ 6 14 ÷ 7 20 ÷ 4 90 ÷ 10 56 ÷ 8 28 ÷ 4 12 ÷ 3

21 ÷ 7 9 ÷ 3 32 ÷ 8 54 ÷ 9 14 ÷ 2 80 ÷ 10 12 ÷ 2 63 ÷ 9

42 ÷ 6 8 ÷ 4 35 ÷ 7 40 ÷ 5 20 ÷ 2 27 ÷ 3 25 ÷ 5 10 ÷ 10

16 ÷ 2 45 ÷ 5 48 ÷ 6 42 ÷ 7 40 ÷ 4 18 ÷ 6 24 ÷ 3 49 ÷ 7

24 ÷ 6 48 ÷ 8 18 ÷ 3 16 ÷ 8 64 ÷ 8 10 ÷ 5 60 ÷ 6 27 ÷ 9

4 ÷ 4 36 ÷ 9 30 ÷ 10 36 ÷ 4 56 ÷ 7 18 ÷ 3 45 ÷ 9 20 ÷ 10

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 49

Example43 9 40 9 = 360

40 3360 360

or + 27387

9 27 360 (40 9)(3 9) + 27

43 9

387


Choose a number

Choose one number card from each pile to make a multiplication calculation.Approximate the answer first and write it in the thought bubble.Then use a written method to work out the answer.

1 2 3

1 2 3

4 5 6

1 2 3


Name _________________________Date ____________

Y4 E2 L4HCM 44

3 4 5

28 36 62 84

4 5 6

124 185 163 248

6

9

7

8

46 67 75

88 94

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 50

a b c

of 15 = 3 m

15 ÷ 5 = 3 m

15

• Find fractions of numbers and quantities

Lengthy fractions


Name _________________________Date ____________

Y4 E2 L6HCM 45

Answer these division facts, then write them as a fraction calculation.

a 20 ÷ 5 = b 40 ÷ 5 = c 35 ÷ 5 =

1 Find 1–5 of each length, then write a division fact.

2 Join the fraction of 1 m to the correct length.1–10 of 1 m 1–4 of 1 m 1–5 of 1 m 1—100 of 1 m

Find the fraction of each length, then write a division fact.

a 1–5 of 45 cm = b 1–10 of 90 cm =

c 1–10 of 230 m = d 1—100 of 300 m =

45 ÷ 5 = 915 of 45 = 9

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 51

• Recognise equivalent fractions

Melting fractions


Name _________________________Date ____________

Y4 E2 L9HCM 46

Half the snowballs are melting.Write other fractions to show half.

Write two fractions for the melting snowballs.

On the back of this sheet, draw your own pictures to show some other equivalent fractions.

aExample b c

d e f

12

36

=

a b

c d e

f g h

14

28

=

Example

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 52

• Identify pairs of fractions that total 1

Makes one

Write the fraction that describes each picture.

Draw a diagram to represent the following fractions.

a 2–2 b 5–5 c 7–7

d 3–3 e 9–9 f 10—10

Would you rather have 8–8 of a cake or 11—11 ? Write your explanation on the back of this sheet.


Name _________________________Date ____________

Y4 E2 L10HCM 47

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 53

Decimals and fractions


Name _________________________Date ____________

Y4 E2 L14HCM 48

1 Write the missing decimals and fractions.

a 2 1–2 = b 3–4 =

c = 0·6 d = 0·25

e 7–10 = f = 3·5

2 Write these amounts using pounds and pence.

a of £1 b of £1

c of £1 d of £1

e of £1 f of £1

1 Write these amounts as fractions of £1.

a 40p b 70p

c 75p d 50p

e 25p f 60p

2 Change these lengths to centimetres.

a m cm b 0·8 m cm c m cm

d 4 m cm e 2·3 m cm f 6·25 m cm

3 Change these times to minutes.

a 0·75 hour b 0·5 hour

c 0·1 hour d 0·2 hour

On the back of this sheet, design a table for people who are not clear aboutdecimal and fraction equivalents.

minutesminutes

minutesminutes

12

410

14

110

34

910

14

12

410

12 12

3

4

567

8

9

10

11

• Recognise equivalent decimals and fractions

2·5

of £1410

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 54

• Order and round numbers

Alligator egg sizes

Write < or > between the numbers.

1 Write < or > between the numbers.

2 Fill in the missing numbers on the number lines.

Round these numbers to the nearest 10, 100 and 1000.

10 100 1000

a 2674

b 8355

c 15 209


Name _________________________Date ____________

Y4 A3 L1HCM 49

80

290

567

400

765

20 68

362 158

984 283

97a b

c d

e f

5898 5899

41034102

2784

8251

7213

1251

7290

3487 1583

3198 1007

6853 6851

5541a b

c d

e f

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 55

47 + 68 =

94 + 41 = 82 + 37 =

83 + 29 = 68 + 52 =

37 + 64 =

71 + 86 =

36 + 49 = 85 + 62 =31 + 97 =

54 + 68 =

Fairground addition and subtraction


Work out the addition and subtraction calculations.

Draw a line between the calculations that go together.

Name _________________________Date ____________

Y4 A3 L3HCM 50

• Add and subtract pairs of two-digit numbers

Add the two numbers together then, on the back of the sheet,make a subtraction calculation using the same three numbers.

Explain how you can use your knowledge of addition and subtraction facts to 20 toadd and subtract pairs of two-digit numbers.Write your explanation on the back ofthis sheet.

34 + 23 =

63 + 17 =

45 + 27 =

59 + 27 =

83 + 11 =

37 + 29 =

42 + 28 =

66 − 29 =

72 − 45 =

94 − 83 =

86 − 59 =

57 − 34 =

80 − 17 =

70 − 28 =

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 56

3 3 = 9

27 3 = 9

50 5 = 10

36 3 = 12

9 4 = 36

8 3 = 24

8 2 = 4

12 4 = 3

32 4 = 8

20 3 = 6R2

12 2 = 24

18 3 = 6

24 6 = 4

7 3 = 21

14 2 = 28

27 3 = 9

15 3 = 5

10 5 = 50

47 5 = 9 R 2

26 4 = 6 R 2

3 × 6 7 × 2 4 × 5 9 × 3 8 × 10

7 × 4 4 × 9 7 × 5 4 × 3 5 × 5

10 × 10 4 × 4 8 × 2 3 × 7 8 × 4

18

Reviewing multiplication and division


Complete each calculation.

Fill in the missing operation ×× or ÷.

On the back of this sheet:Write down ten 2-digit numbers. Divide each of your numbers by 3.

Which numbers have no remainder? Which numbers have a remainder of 1?Which numbers have a remainder of 2? Write about any patterns you notice.

Name _________________________Date ____________

Y4 A3 L7HCM 51

• Use the relationship between multiplication and division

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 57

• Divide a two-digit number by a one-digit number

Division


Name _________________________Date ____________

Y4 A3 L9HCM 52

30 ÷ 3 =

80 ÷ 4 =

50 ÷ 5 =

20 ÷ 2 =

15 ÷ 5 =

9 ÷ 3 =

40 ÷ 4 =

60 ÷ 3 =

100 ÷ 2 =

40 ÷ 2 =

18 ÷ 2 =

16 ÷ 4 =

80 ÷ 2 =

100 ÷ 5 =

90 ÷ 3 =

18 ÷ 3 =

24 ÷ 4 =

21 ÷ 3 =

a b cWork out the answer to these in your head.

For each calculation, approximate the answer first and writeyour approximation inside the thought bubble. Then use thestandard method of division to work out the answer.

Remember to write the numbers in the correct columns.

a 54 ÷ 3 b 92 ÷ 4 c 87 ÷ 4

d 82 ÷ 3 e 93 ÷ 5 f 79 ÷2

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 58

Adding and subtractingmultiples


Name _________________________Date ____________

Y4 B3 L1HCM 53

• Use addition and subtraction facts

1 a 600 + 200 = f 400 – 200 =

b 300 + 400 = g 800 – 100 =

c 100 + 500 = h 500 – 400 =

d 200 + 300 = i 600 – 300 =

e 700 + 200 = j 400 – 100 =

2 a 40 + 70 = f 170 – 70 =

b 80 + 30 = g 120 – 40 =

c 90 + 50 = h 160 – 20 =

d 140 + 90 = i 120 – 70 =

e 160 + 40 = j 130 – 30 =

a 600 + 200 + 100 = g 1900 – 200 =

b 400 + 300 + 200 = h 18 000 – 6000 =

c 700 + 400 + 100 = i 13 000 – 6000 =

d 800 + 500 + 200 = j 17 000 – 2000 =

e 600 + 400 + 300 = k 15 000 – 4000 =

f 700 + 300 + 500 = l 18 000 – 7000 =

Ann says, ‘I added three multiples of one hundred and my total is 1200’.What numbers could Ann have added? Write your calculations on the back of this sheet.

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 59

• Solve problems involving money, using a calculator

How much?


Name _________________________Date ____________

Y4 B3 L3HCM 54

You need:

� calculator

1 Work out each of these totals.

a £4.63 + £3.49 = b £5.99 + £2.26 =

c £3.96 + £2.45 = d £6.56 + £2.76 =

e £8.77 + £1.69 = f £7.93 + £4.75

2 Work out how much money is left.

a £8.23 – £5.46 = b £7.52 – £1.75 =

c £9.41 – £4.76 = d £5.54 – £2.78 =

e £8.28 – £5.39 = f £8.97 – £6.88 =

Choose one calculation from questions 1 and 2 of the activity and check themusing a different method. Show your working on the back of the sheet.

Choose one calculation from the activity and write a word problem to go withthem.Write your problem on the back of this sheet.

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 60

• Recognise multiples of numbers to 10, up to the tenthmultiple

Finding multiples

Complete each number sequence.

Count in multiples as you see on the dice.

Play Odd one out. Each bag of marbles has at least one marble that doesn’t belong.Colour all of the marbles that belong in each bag.

On the back of this sheet, draw a Venn Diagram.Choose two multiples to sort and label the circles.Sort the numbers 1 to 100.

Draw another Venn Diagram. Choose two different multiples to sort and label the circles. Sort the numbers 1 to 100.


Name _________________________Date ____________

Y4 B3 L6HCM 55

125

248

4116 36

12

32

18

2820

62

10

1570

85 93

150 100

30 18

2624 27

12

20

6090

100

260 150110 370

45

1624

8962

90 5212

7551

55 6095

40 2785 100

25

836315402

21

1513

309

Multiples of 5

Multiples of 4 Multiples of 10

Multiples of 3

56

2011 48

214 105

3016

30217

Multiples of 2

Multiples of 2

25

4020

37010

240 804

400170

Multiples of 4 Multiples of 5

a 124, 126, 128, , , , , , , , .

b 255, 260, 265, , , , , , , , .

c 9, , , , 21, , , , , 36, .

d 16, , , , , 36, , , , , .

e 420, 430, , , , , , 490, , , .

You need:

� colouredpencils

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 61

15 6 8

–

+

+

+ = 164

= 119

= 74

= 57

= 3

= 120

÷

×

+

+

– = 575

= 83

– = 17

= 91

× = 90

= 430×

• Solve mathematical problems or puzzles

Missing numbers

Use the numbers 0 to 10 to make these statements true.Write the numbers in the shapes.For each number sentence a different shape indicates a different number.

Replace the squares with the digits 0-9to make each statement true.

On the back of this sheet, write 3 missing number puzzles for someone at home towork out. Make sure you know the answers first!


Name _________________________Date ____________

Y4 B3 L8HCM 56

− = 2

÷ = 4

÷ = 3

+ + = 26

× + = 20

× = 48

× = 36

+ + = 20

+ + = 27

× + = 12

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 62

glue t

ab

circumference

• Make shapes by folding and cutting paper

Circular cuts


Name _________________________Date ____________

Y4 B3 L11HCM 57

You need:

� scissors

� glue or sticky tape

� colouring materials

You need:

� something circular

� sheet of paper

1 Cut out the circle along its circumference.

2 Cut off the shaded piece.

3 Colour and decorate the clown figure.

4 Fold up the paper and stick the tab to make a cone.

1 Find something circular which fits ontoyour piece of paper and draw round it to make your circle.

2 Cut out the circle.

3 Decorate the circle.

4 Make a cone.

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 63

Net for a square-based pyramid


1 Cut out the net along the black lines.

2 Use your ruler to score along the fold lines.

3 Fold up the net to make a square-basedpyramid.

On each face there are three triangles. Colour them so that:

� no two triangles next to each other on the same face are the same colour

� no two triangles on joining faces are the same colour.

Fold and glue the tabs inside the shape.

Name _________________________Date ____________

Y4 B3 L13HCM 58

• Make a 3-D shape from its net

You need:

� scissors � ruler � glue

� 3 different coloured pencils

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 64

• Record readings from scales to the nearest 50 ml

Filling cylinders

1 Look at the labels at the bottom of the sheet.

2 Below each cylinder write the amounts of liquid which were used to fill it to the level shown.

3 Cross out each amount when you have written it.

4 Draw a line to mark the level of the liquid in each cylinder.


Name _________________________Date ____________

Y4 C3 L2HCM 59

750 ml

50 ml 100 ml 250 ml 250 ml 500 ml

750 ml50 ml 50 ml 150 ml 250 ml 250 ml 500 ml

250 ml

250 ml

250 ml

650 ml 200 ml 900 ml 850 ml

100

200

300

400

500

600

700

800

900

1000ml

100

200

300

400

500

600

700

800

900

1000ml

100

200

300

400

500

600

700

800

900

1000ml

100

200

300

400

500

600

700

800

900

1000ml

100

200

300

400

500

600

700

800

900

1000ml

150 ml50 ml

a b c d e

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 65

• Collect data and present it in a table, pictogram andbar chart

Drinks sales

1 Complete the pictogram for thedata above. Choose your ownpicture and what it represents.

2 Complete the bar chart for thedata. Choose your own scale.


Name _________________________Date ____________

Y4 C3 L4HCM 60

Drinks Number sold in a day

Drinks sold by local shop in a day

Drinks

Nu

mb

er o

f d

rin

ks

You need:

� ruler � coloured pencil

1 Visit a local shop and ask the owner which four drinksthey sell the most.Write the drinks in the table.

2 Ask the shop owner to estimate how many of each drinkthey sell each day.Write the numbers in the table.

3 Which is the most popular drink?

On the back of this sheet draw another barchart for the data. Use a different scale.Which chart displays the data moreaccurately? Explain your answer.

Drinks sold by local shop in a day

stands for drinks

Number of drinks

dri

nks

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 66

• Collect data and present it using bar charts andpictograms

Coin collection

Ask someone at home to put a collection of 1p, 2p, 5p, 10p and 20p coins in a bag.

1 Take one coin from the bag. Record it in the tally chart.Then put the coin back in the bag. Do this 20 times.

2 Add up the tally marks and write the totals.

3 Which coin do you think there is most of in the bag?

4 Check to see if you are correct.

1 Calculate the total valuefor each type of coin fromthe above activity. Writeyour answers in pence.

1p

2p

5p

10p

20p

2 Complete the bar chart.Choose a suitable scalefor the vertical axis.

Draw a pictogram on the back of this sheet to show the value of the coins.


Name _________________________Date ____________

Y4 C3 L8HCM 61

You need:

� selection of 1p,2p, 5p, 10p and20p coins

� bag

Coin Tally Total

1p2p5p10p20p

Value of coins withdrawn from a bag

Coin1p 2p 5p 10p 20p

Va

lue

of

coin

s (p

ence

)

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 67

• Present data using charts

Light bulbs

Ravinder found out the power of light bulbs in her friends’ houses.

1 Number the vertical axis usinga suitable scale.


Draw a pictogram for the data above.Think carefully about how many bulbs eachsymbol is to represent.

An electrical shop sold the following light bulbs inone day:13 bayonet pearl; 4 screwpearl; 19 bayonet clear;6 screw clear.

Copy and complete theCarroll diagram.


Name _________________________Date ____________

Y4 C3 L9HCM 62

Power (Watts) Number of bulbs

40 W 560 W 17100 W 9150 W 2

You need:

� coloured pencil � ruler

Light bulbs in houses

Power40 W 60 W 100 W 150 W

Nu

mb

er o

f b

ulb

s

Pearl clear

bayonetbayonet

screw

screw

pearl

clear

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 68

• Refine written methods for subtraction

Subtraction problems

1 Write these calculations out vertically.Then work out the answers.

a 437 – 154 = b 382 – 165 = c 215 – 172 =

d 636 – 381 = e 583 – 257 = f 635 – 172 =

2 Work out this problem using the standard method.

The shop has 251 newspapers to sell. 138 are sold.How many are left?

1 On the back of this sheet, use these amountsto make 5 subtraction calculations.

£8.72 £5.24 £12.71 £18.91 £10.29

2 Work out these problems using the standard method.

a It takes 853 steps to walk to the shop from my house,and 568 steps to get to school. How many steps further away is the shop?

b 815 cars can fit in the car park.There are 496spaces left today. How manycars are in the car park?

Choose one of your calculations from question 1 of the section and make up aword problem to go with it.Write your problem on the back of this sheet.


Name _________________________Date ____________

Y4 D3 L3HCM 63

Working out

Working out

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 69

• Record measurements and solve problems involvingcapacity

Puzzling capacity

Statement: Liquids are sold by capacity (l , ml) and solids are sold by mass (kg, g)

True or false? Investigate.

1 Look at the labels on packets, tins, bottles,jars, and so on, in your bathroom andkitchen. Find 5 things that are sold in litresor millilitres and 5 things that are sold inkilograms and grams. Include sauce, jamand toothpaste in your lists.

2 Record your findings in the tables below.

3 Write what you notice.

1 To celebrate 21 years of trading, a supermarket decides to give awaylitres of soft drinks.

The first customer was given 21 litres.The second customer was given 19 litres.The third was given 17 litres, and so on.

a How many customers were given free soft drinks? customers

b How many litres altogether did the supermarket give away? litres

2 Sanjay was the fourth customer. He was given litres.

He decided to share it equally with his 3 best friends.

They each received litres.


Name _________________________Date ____________

Y4 D3 L4HCM 64

liquids solids

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 70

• Find the area of rectangles and other shapes bycounting squares

Areas of shapes


Name _________________________Date ____________

Y4 D3 L6HCM 65

a

b

c

d

e

f

g

h

Shape Area in cm2

a

e f

g

h

b c d

Complete these sentences.

Shape has the smallest area.

Shape has the greatest area.

Shapes and have the same area.

Shape c is 4 cm2 greater than shape .

Shape is 5 cm2 smaller than shape g.

Shape a is than shape h.

Complete the table for the area of eachgrey shape in squarecentimetres.

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 71

• Work out start and finish times

Today’s TV guide

Use a copy of today’s TV guide.

Complete the TV timetables for programmes showing from 5:00p.m.to 8:00 p.m. on two different channels.

Katie is a ‘soap’ fan. Her favourite programmes are on between 5:00 p.m. and 8:00 p.m.

Complete this table and work out how long each programme is.

a David is a fan of cartoons.The one hour programme of cartoons is repeated daily. How many hours of the programme could he watch:

in 5 days? in 50 days?

b David watches the 4:00 p.m. one hour show twice a week. He has now seen 20 hours of the show.

How many weeks is that? weeks.


Name _________________________Date ____________

Y4 D3 L8HCM 66

You need:

� today’s TV guide

Channel

Time

5:00 p.m.

5:30 p.m.

6:00 p.m.

6:30 p.m.

7:00 p.m.

7:30 p.m.

5:00 p.m.

5:30 p.m.

6:00 p.m.

6:30 p.m.

7:00 p.m.

7:30 p.m.

Programme ProgrammeTime

Channel

Title of TV programe Starting time Finishing time Length in minutes

a

b

c

d

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 72


Multiplying larger numbers

Write a one-digit number greater than 2 in each grey box.Then multiply the two numbers together.Be sure to estimate your answer first.

a 32 × = b 43 × = c 54 × =

a 87 × = b 69 × = c 75 × =

d 94 × = e 83 × = f 97 × =

a 167 × = b 234 × = c 268 × =


Name _________________________Date ____________

Y4 E3 L2HCM 67

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 73

• Divide a two-digit number by a one-digit number

Dividing larger numbers


Name _________________________Date ____________

Y4 E3 L4HCM 68

Write a one-digit number greater than 2 in each grey box.Then divide the two-digit number by the one-digit number.Be sure to estimate your answer first.

a 42 ÷ = b 34 ÷ = c 55 ÷ =

a 93 ÷ = b 74 ÷ = c 67 ÷ =

d 82 ÷ = e 56 ÷ = f 89 ÷ =

a 132 ÷ = b 124 ÷ = c 163 ÷ =

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 74

• Find fractions of numbers or quantities

Fraction number lines

Fill in the missing fractions on the number lines.

What fractions are equal to 1–2 ?

What fractions are equal to:

a 1–4 b 4–5

c 3–4 d 4—12

Write 6 different pairs of equivalent fractions.Not halves or quarters!

a = b =

c = d =

e = f =


Name _________________________Date ____________

Y4 E3 L8HCM 69

0 1

0 13 1

0 1

0 1

0 1

0 1

0 1

0 1

34

25

16

38

910

112

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 75

Calculator decimals

1 Write these fractions as decimals.

2 Write these decimals as fractions.

Write these decimals on the number line.Then write the equivalent fractions.

1

2

Put these decimals in order, smallest to largest.

4·2 2·4 6·2 0·4 6·4 4·0 0·6


Name _________________________Date ____________

Y4 E3 L11HCM 70

a1 = 1.33

10

b3 =9

10

c2 =1

10

d=7

10

e=4

10

a2=2.3 =0.6 =25.2 =0.8 =53.1

310

b c d e

0 1 2

1.5 0.6 0.9 1.2 0.8 0.1 1.8

8 9 10

9.9 8.5 9.6 8.9 9.2 8.3 9.5

• Recognise equivalent decimals and fractions

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 76

• Use the vocabulary of ratio and proportion

Office parts

1 Complete the sentences.

a 1 out of 5 pins b out of are bent. pins are bent.

c out of d out of

pins are bent. pins are bent.

2 Complete the sentences. Continue each pattern.

a 1 in every butterfly clips is open.

b 1 in every butterfly clips is open.

c 2 in every butterfly clips are open.

Complete the sentences.

a in 2 has a stamp.

in 4 has a stamp.

5 in has a stamp.

c 1 in 4 envelopes has a stamp.

in 8 envelopes has a stamp.

3 in envelopes has a stamp.


b 1 in 3 envelopes has a stamp.



d 1 in envelopes has a stamp.

2 in 10 envelopes has a stamp.




Name _________________________Date ____________

Y4 E3 L14HCM 71

Draw a face pattern for each sentence.

a 1 in every 4 faces are smiling.

b 2 in every 6 faces are smiling.

c 2 in every 4 faces are smiling.

d 1 in every 5 faces are smiling.

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 77

• Use the vocabulary of ratio and proportion

Proportion problems


Name _________________________Date ____________

Y4 E3 L15HCM 72

Complete the tables and work out the answers to the problems.

Use the pictures to help you.

I have made some cakes.For every one chocolate cake, I have made two currant cakes. If I have made five chocolate cakes,how many currant cakes have I made?

When we eat sweets I eat one and my brother eats three. If I ate six, how many would my brother have eaten?

For every five packets of crisps, one has a sticker in and four do not. I have bought 25 packets of crisps. How many stickers will I have?

Complete the picture to help you.

Chocolate

1

2

4

Currant

2

6

Me

1

Mybrother

Sticker

1

Nosticker

4

CNPM_HCM_4_[43-78] 26/11/07 16:30 Page 78

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