New Wave Maths - Workbooks: Level E - Ages 9-10 by Teacher Superstore

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Published by R.I.C. Publications www.ricgroup.com.au

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New Wave Maths for WA – E

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Published by R.I.C. Publications PO Box 332, Greenwood Western Australia 6924 ©Robert Dayman 2003 ISBN 1 86311 681 8 Copyright Notice No part of this book may be reproduced in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system without written permission from the publisher.

Foreword

My Goals for the Year This year in maths, I …

This book has been written especially to help you learn about mathematics in a fun way, with lots of activities.You will notice it is printed in full colour and uses many photos. Why? To help you understand that maths is real and around you every day, everywhere. Enjoy yourself!

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Yes

This year in maths, I hope to learn …

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Did I achieve my goal?

iii

Term One Overview

Term Two Overview

Term Three Overview

Term Four Overview

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1 – 30

Term One—Units 1 – 10

31 – 60

Term Two—Units 11 – 20

61 – 90

Term Three—Units 21 – 30

91 – 120

Term Four—Units 31 – 40

121

Essential Facts—General

122

Essential Facts—Number

123

Essential Facts—Measurement

124

Essential Facts—Space

125

Essential Facts—Chance and Data

126

Working Out

127

Personal Record—Memory Masters

128

How Did I Go?

129

The Year in Review

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Yes

Did I achieve my goal?

This year in maths, I plan to focus on …

Did I achieve my goal? New Wave Maths for WA Book E • i •

Student Information Here is a brief outline how each page in the workbook is set out and how to complete the different parts.

Memory Masters Use this as a warm up. Circle, colour or tick your score out of ten. Record your score next to the correct unit on page 127 of this workbook.

Sometimes, other mental exercises have 12 x 20, I can see … been placed throughout this workbook. They 2 x 6 x 20 are designed to encourage you to think of as many solutions as possible, there really is no 2 x 2 x 3 x 20 limit! Here is an example. 2 x 6 x 2 x 10

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3 x 4 x 20

3x4x4x5 etc.

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2x6x2x5x2

Number

Choose and use the method of calculation you think best suits the number activity on the page. Circle, colour or tick your preferred method for completing the problems. Rate your choice according to how suitable your chosen method was in completing the activity.

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This activity is to be completed using any concrete materials or mathematics resources as required. Photographs and diagrams have been incorporated where possible as a visual aid to the activity.

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Indicator This has been included for your information. It tells you what is expected of you when completing the activity.

• ii • New Wave Maths for WA Book E

This has been included to give you the opportunity to use different problem-solving techniques. Most of the activities need to be thought about carefully, as their solution isn’t always as it seems.

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Term One

S3.1—Use directional language to find a path.

N3.1a—Produce and use partitioning for a given number.

M3.4a—Draw and compare shapes of a set area.

N3.1a—Trade, count and write numbers into the thousands.

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C&D3.4—Read frequencies from a bar and line graph and answer relevant questions.

N3.1a, N3.3—Show, read and write decimal numbers. Add and subtract whole numbers with reference to place value.

S3.2—Look closely at a 3-D shape and decide which 2-D shapes could be used to make it.

N3.3, N3.4—Use calculation, manipulation and recording techniques to investigate patterns.

M3.2—Use a ruler to measure length, a measuring jug to measure capacity and a balance to measure mass.

N3.4—Find and complete patterns using addition and multiplication strategies.

C&D3.2, C&D3.3, M3.2—Measure and record data in a bar graph. Represent data in a line graph.

N3.1a, M3.1—Write measures using decimal points.

WM3.2,WM3.3, WM3.4, N3.4—Make conjectures about patterns and relationships in the times tables.

N3.3—Add whole numbers using the simplest method.

N3.2—Understand the terms ‘odd’, ‘even’, ‘prime number’ and ‘composite number’.

C&D3.2, C&D3.4—Collect, record and analyse data.

N3.3—Estimate answers to written problems.

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S3.2—Use 2-cm cubes to make and draw as many arrangements as possible. N3.1b, N3.3—Add and write fractions correctly.

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S3.2—Use 2-cm cubes to make and draw as many arrangements as possible.

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Outcomes

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Week Unit

19 20 21

N3.3—Use mental strategies to multiply and divide whole numbers.

C&D3.2, C&D3.3, C&D3.4—Collect, collate and record data in a two-way table.

N3.2—Use the relationship between multiplication and division to solve problems.

S3.1, S3.2—Work collaboratively to design and make models to represent a fete.

N3.3—Solve multiplication problems using the commutative and associative processes.

M3.4a—Use grid paper to generate polygons of a set perimeter in order to compare area.

N3.1a, C&D3.3—Summarise and analyse a set of data.

C&D3.2, M3.2, M3.4a—Read and record 24-hour times in a timetable.

N3.3—Use mental strategies to solve addition problems.

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New Wave Maths for WA Book E • iii •

Term Two Week Unit

S3.2—Analyse and describe 3-D shapes.

N3.3—Use chosen strategies to solve subtraction problems.

M3.2, N3.1a—Measure and record height in centimetres. Use data to answer questions.

N3.1a—Read, order and write numbers into the thousands.

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C&D3.3—Record selections using an arrow diagram.

N3.1b—Read and write fractions.

S3.2—Draw and highlight nets that could be used to construct a box.

N3.3—Use a constant to add to or subtract from a number sentence to keep it balanced.

M3.2, S3.2—Compare and record surface area and volume using a specified number of cubes to make 3-D models.

N3.1b—Use concrete materials to separate objects into equal parts.

WM3.2, WM3.4, C&D3.2, C&D3.3—Pose, ask and contribute mathematical questions prompted by a specific stimulus.

N3.3—Use rounding to estimate sums and products.

N3.3—Estimate answers through the use of rounding techniques.

S3.3, C&D3.3—Observe the symmetry of the letters of the alphabet and record in the Venn diagram.

N3.4—Complete sequences to solve arithmetic problems.

M3.2—Compare angles to find right angles, acute angles and obtuse angles. N3.3—Estimate answers through the use of rounding techniques.

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S3.4, S3.2—Visualise and name the 2-D shapes created by cross-section cuts as shown.

N3.2, N3.4—Use the grid to locate and list prime numbers.

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M3.2—Use a standard calendar to locate and calculate particular days.

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Outcomes

N3.3—Use own methods to solve subtraction problems.

C&D3.1, C&D3.2, C&D3.3—Collect, record and summarise data. Rank events from most to least likely.

N3.2, N3.3—Complete number sentences as required.

S3.3—Complete a symmetrical drawing.

N3.1b, N3.1a—Read and write whole numbers and fractions.

M3.2, N3.3—Use a uniform unit of length to measure and order height. Add and subtract whole numbers.

N3.2, N3.3—Understand that multiplication and addition are interrelated.

C&D3.3, N3.3—Use Venn diagrams to organise and classify data.

N3.3—Add fractions with like denominators.

• iv • New Wave Maths for WA Book E

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Term Three Week Unit

Page

S3.3—Complete symmetrical patterns.

M3.3—Estimate and compare regions, containers and objects for area, capacity and mass.

M3.4a—Estimate and measure the perimeter of irregular shapes.

N3.4—Use a number-letter code to write a message.

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C&D3.4, C&D3.2—Collect, tally and summarise data.

N3.1a—Read, write and partition numbers into hundreds and thousands.

S3.3—Complete and draw symmetrical pictures.

N3.1a—Read and display whole numbers and money into the thousands.

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Outcomes

M3.1—Use a pentomino to complete a tessellating design.

S3.1—Draw a plan of the classroom to scale. C&D3.2, C&D3.3—Record frequency data in a table to help devise a menu.

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WM3.1,WM3.2, M3.2—Pose, ask and contribute mathematical questions prompted by a specific stimulus.

N3.3—Use partitioning to multiply whole numbers.

© R. I . C.Publ i cat i ons M3.2—Use measuring tools to measure body parts and compare lengths. S3.3—Look at a shape and decide whether or not it will tile. Support answers with a clear explanation. •f orr evi ew pur posesonl y• C&D3.1—Describe and order events according to the likelihood of it happening.

76 77

M3.1, M3.2, M3.4a—Enlarge a shape and compare the perimeter and area of the new and original shapes.

N3.1b—Order, read and write fractions. Match fraction equivalents.

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M3.2—Build models according to directions and compare volume.

71 72

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N3.1a, N3.3—Read and write numbers into the thousands. Estimate sums and products by rounding.

N3.1b—Read and write fractional notation. 7

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N3.3—Partition and round numbers to solve addition problems.

81 82

C&D3.1, C&D3.2, C&D3.3, C&D3.4—Use chance events to record and analyse data.

N3.1b—Read, write and order fractions. Show fraction equivalences.

S3.2, M3.2—Use 2-D regular shapes to show those that tessellate and those that do not.

N3.3—Subtract money.

M3.2—Use an arbitrary unit to compare the capacity of various containers.

N3.3—Add money.

C&D3.1, C&D3.2, C&D3.3, C&D3.4—Record and interpret frequency data in two-way tables and graphs.

S3.4—Name an object based on spatial features used in a description.

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New Wave Maths for WA Book E • v •

Term Four Week Unit Outcomes

S3.1—Draw a plan, keeping in mind the relative size of items on the drawing.

N3.1a—Calculate and read decimal numbers.

M3.2, N3.1a, N3.3—Measure using consistent units, record and order data. Add numbers each less than 10.

N3.1a, N3.3—Read, write and calculate amounts of money.

C&D3.1, C&D3.2—Record data, interpret and justify results of chance events.

N3.4—Recognise, record and complete number patterns involving operations.

S3.3—Prove or disprove the statement by finding repetition in pattern.

N3.2, N3.3—Read and calculate whole numbers in word problems.

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M3.2, M3.4a—Use uniform units to measure and order perimeter and area of polygons.

N3.2, N3.3—Partition two-digit numbers to assist with multiplying.

100

C&D3.1—Describe chance outcomes referring to probability. M3.3—Use clues to estimate time of day or year.

103

N3.1b—Find unit fractions of a whole number.

104

106

C&D3.2, C&D3.3—Collect, record and summarise data using a tally accurately.

107

C&D3.4, N3.3—Interpret and summarise data shown in a pictograph.

108

105

S3.3, M3.4b—Roughly draw a plan to scale and note its symmetrical features.

109

N3.3—Use conventional algorithms to solve the problems.

110

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M3.2—Read and write the time from analog and digital clocks.

102

S3.4—Draw variations of 2-D shapes, maintaining common features such as number of sides.

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111

WM3.2, WM3.4, N3.1a, N3.2, N3.3—Work mathematically to discuss and explain the best way to solve a problem.

112

C&D3.2, C&D3.3—Collect and classify data using two-way tables.

113

N3.3—Use own methods to solve an algorithm.

114

S3.1, M3.4b—Demonstrate an understanding of proximity when drawing pathways on a map.

115

N3.1a—Read and write numbers into the thousands.

116

M3.3, M3.2—Estimate, measure and record time taken to complete tasks.

117

N3.1a—Subtract decimals, measures and amounts of money.

118

C&D3.4—Read and summarise information displayed in a graph.

119

N3.4—Use the constant function on a calculator to solve multiplication number sentences.

120

• vi • New Wave Maths for WA Book E

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UNIT 1–1 Your Score ✓ 1

1. Solve these.

(a) 0 x 6 =

(b) 3 x 7 =

(d) 0 x 9 =

(e) 10 x 6 =

(f) 30 ÷ 6 =

(g) 28 ÷ 7 =

(h) 24 ÷ 8 =

(i) 45 ÷ 9 =

(j) 48 ÷ 8 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

14 23 41

Calculator

(b) +

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(c)

22 43 12

(d)

35 41 22

(e)

31 11 35

(f)

23 41 23

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Written

Freezing!

3. Follow the directions given to find at which restaurant Brett ate.

Start at X and follow these directions

(S = south, N = north, E = east and W = west):

4S, 4E, 2S, 6W, 1N, 2W, 8S, 6E, 4N At which restaurant did Brett eat?

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4. Make a path of your own to a restaurant starting from the same place as Brett (X). Share your path with a friend to see if he/ she can follow it.

S3.1—Use directional language to find a path.

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Computer Hacker A man’s four-letter name was frequently used as a password in the early days of computing, until it was realised that hackers were using this password to enter computer systems.Think about what characteristics may be attractive for use in a word as a password and find this password.

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New Wave Maths for WA Book E • 1 •

UNIT 1–2 Your Score ✓ 1

1. Solve these.

(a) 1 x 6 =

(b) 2 x 7 =

(d) 5 x 9 =

(e) 9 x 6 =

(f) 36 ÷ 6 =

(g) 42 ÷ 7 =

(h) 40 ÷ 8 =

(i) 81 ÷ 9 =

(j) 54 ÷ 9 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

47 26 13

Calculator

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(b)

Rate Your Choice ✓ Boiling!

24 36 24

(c)

45 24 25

(d)

38 14 35

(e)

38 14 35

(f) +

35 16 24

Freezing!

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3. The chart below is showing the correct place value of a numeral to three decimal places.

Hundreds

Tens

Ones

Tenths

Hundredths

Thousandths

100

0.1 1/ 10

0.01 1/ 100

0.001 1/ 1000

Use these examples to write the numbers given in expanded form. 5

100

1000

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(b) 71.627 =

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= =

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Draw a circle without using a compass. Explain how you drew your circle.

• 2 • New Wave Maths for WA Book E

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N3.1a—Produce and use partitioning for a given number.

(a) 54.839 =

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= (3 x 100) + (6 x 10) + (2 x 1) + (5 x 1/10 ) + (8 x 1/100 ) + (4 x 1/1000 )

(j) 60 ÷ 10 =

(e) 8 x 6 =

9 10

(i) 42 ÷ 6 =

(d) 9 x 9 =

(h) 56 ÷ 7 =

(g) 64 ÷ 8 =

(b) 7 x 7 =

(f) 27 ÷ 9 =

(a) 2 x 6 =

1. Solve these.

Your Score ✓ 1

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56 82 31

74 53 22

62 53 34

Written

(f)

(e)

(d)

84 22 51

72 42 82

42 95 71

Calculator

Freezing!

Number of Edges

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(c)

(b)

(a)

Mental

Shape

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2. Choose a form of calculation to complete some or all of the following calculations.

Shape

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(a) Draw shapes with an area of six square units (6 cm2). When you have drawn as many shapes as you are able to, complete the table beneath the grid.

3. Use the 1-cm grid below to complete these.

Number of Edges

Perimeter in cm

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M3.4a—Draw and compare shapes of a set area.

(b) What do you notice about the perimeter of the different shapes?

UNIT 1–3

New Wave Maths for WA Book E • 3 •

UNIT 2–1 Your Score ✓ 1

1. Solve these.

(a) 3 x 6 =

(b) 5 x 7 =

(d) 3 x 9 =

(e) 7 x 6 =

(f) 42 ÷ 7 =

(g) 48 ÷ 6 =

(h) 7 ÷ 7 =

(i) 32 ÷ 8 =

(j) 63 ÷ 9 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a) 76 – 24 = (d) 65 – 43 =

3. Trade the wood shown for fewer pieces but retain the same value.

r o e t s Bo r e p ok u S (b) 39 – 18 =

(e) 88 – 26 =

(f) 85 – 23 =

Freezing!

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Rate Your Choice ✓ Boiling!

Calculator

Trade the same blocks for longs.

What is the least number of moves . required to change the weights from the te o first bar to the third bar so that the 5. Trade this flat for longs.Take away four longs. c . weightse are restacked in the same order. che r The weights must always be placed on a o r st super bar and a larger weight may not be How many longs do you get?

placed on a smaller weight.Weights may only be removed and placed on the right-hand end of the bar.

How many longs are left? From the remaining longs take away seven units. What is left now? • 4 • New Wave Maths for WA Book E

longs,

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N3.1a—Trade, count and write numbers into the thousands.

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4. Trade these blocks for flats.

UNIT 2–2 Your Score ✓ 1

1. Complete these patterns.

(a) 4, 8, 12, 16,

(b) 7, 14, 21, 28,

(d) 4, 7, 10, 13,

(e) 8, 15, 22, 29,

(f) 60, 55, 50, 45,

(g) 80, 60, 40, 20,

(h) 39, 33, 27, 21,

(i) 53, 49, 45, 41,

(j) 46, 38, 30, 22,

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

53 28

–

Calculator

(b) –

Rate Your Choice ✓ Boiling!

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(c)

–

84 55

(e)

–

94 27

(f) –

43 29

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4. Look at the temperatures for 1 week in September. Answer these.

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Temperature ºC

29 28 27 26

25 © R. I . C.Publ i cat i ons 24 •f orr evi ew pur p sesonl y• 23 o

e Ke lly Br et t G ra ha m Jo Ro ch ell e H ol ly Jo hn

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Child

Date in September

(a) Which two days experienced the warmest temperatures?

(a) Who is the heaviest?

kg and . te o (c) Which people weigh the same? (b) Write the temperatures from lowest to c . che highest. e r o t r s s r u e p (d) How much do they weigh? kg (b) How much does he/she weigh?

C&D3.4—Read frequencies from a bar and line graph and answer relevant questions.

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ell

Mass in kg

–

36 18

Freezing!

3. Look at the graph ‘Children’s Mass’ and answer these questions. Children's Mass 50 45 40 35 30 25 20 15 10 5 0

(d)

(e) What is the difference between the heaviest and lightest masses?

From the temperatures above what do you think the temperature for the 23rd might be? Justify your response. R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 5 •

UNIT 2–3 Your Score ✓ 1

1. Change these into … grams. (a) 4.783 kg =

(b) 2.941 kg =

(d) 3.86 kg =

(e) 1.9 kg =

(h) 1743 g =

(i) 3582 g =

(j) 2548 g =

… kilograms. (f) 4276 g =

(g) 8990 g =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

439 – 218

r o e t s Bo r e p ok u S

Calculator

(b)

569 – 322

Rate Your Choice ✓ Boiling!

(c)

767 – 344

(d)

698 – 257

384 – 132

(f)

564 – 232

Freezing!

3. Use Base 10 MAB to show these numbers. (a) 2.387

(e) 1.79

(b) 2.03

(d) 0.582

(f) 21.64

4. What are the names of the three places to the left of hundredths?

Number

(b) (c) (d) (e) (f)

Columns I think will be affected

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(a)

Operation

59 Add two tens

Columns which are affected

. thundreds 9 Add three e o c . e 2894 Take four tens c her r o t s super 76 Take three ones 3465 Add five hundreds

764 Take five hundreds

Colour this pattern with as few colours as you can. No two parts of the pattern that are together can have the same colour. What is the least number of colours you require? • 6 • New Wave Maths for WA Book E

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N3.1a, N3.3—Show, read and write decimal numbers. Add and subtract whole numbers with reference to place value.

• hundredths © R. I . C.Publ i cat i ons In the table below, write which place value (ones,p tens, hundreds and thousands) you think• will be affected by • f o r r e v i e w u r p o s e s o n l y performing the operation (addition or subtraction) given. Check your predictions with a calculator.

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(e)

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(a)

Written

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Written

Rate Your Choice ✓ Boiling!

(f) 22 x 4 =

(e) 33 x 3 =

(d) 44 x 2 =

(b) 12 x 4 =

(a) 23 x 3 =

Mental

Calculator

Freezing!

2. Choose a form of calculation to complete some or all of the following calculations.

(b)

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(j) 14 – 5 =

(a)

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(e) 6 + 8 =

(i) 11 – 8 =

9 10

(d) 2 + 5 =

(h) 15 – 6 =

(g) 13 – 7 =

(b) 9 + 3 =

(f) 17 – 8 =

(a) 7 + 6 =

1. Solve these.

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(d)

(c)

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Your Score ✓ 1

3. Look at these 3-D shapes. Look at the 2-D shapes below them. Colour the shapes you would need to use to make the 3-D shape above.

S3.2—Look closely at a 3-D shape and decide which 2-D shapes could be used to make it.

UNIT 3–1

New Wave Maths for WA Book E • 7 •

UNIT 3–2 Your Score ✓ 1

1. Solve these.

(a) 4 + 6 =

(b) 9 + 3 =

(d) 5 + 5 =

(e) 7 + 8 =

(f) 11 – 7 =

(g) 8 – 5 =

(h) 14 – 7 =

(i) 16 – 9 =

(j) 6 – 5 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a) 27 x 3 = (d) 29 x 2 = Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S (b) 46 x 2 =

(e) 24 x 4 =

(f) 49 x 2 =

Freezing!

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3. Use a calculator to multiply 37 by 3, 6, 9 and 12.

Continue this pattern—use a calculator where necessary.

(a) 15 x 37 =

(f) 30 x 37 =

(k) 45 x 37 =

(b) 18 x 37 =

(g) 33 x 37 =

(l) 48 x 37 =

(p) What do you think 60 x 37 will be?

(m) 51 x 37 =

Check

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Which numbers made square arrays? If square numbers can be shown by squares, how might you show pentagonal numbers?

Find the first three pentagonal numbers. ,

• 8 • New Wave Maths for WA Book E

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N3.3, N3.4—Use calculation, manipulation and recording techniques to investigate patterns.

4. Square Numbers—Use square tiles to find out which of these numbers make square arrays. Draw the results of your investigations on the grid. 5 18 9 25 12 16

UNIT 3–3 Your Score ✓ 1

1. Solve these.

(a) 4 + 3 =

(b) 9 + 4 =

(d) 7 + 7 =

(e) 6 + 5 =

(f) 9 – 7 =

(g) 6 – 4 =

(h) 14 – 8 =

(i) 16 – 8 =

(j) 10 – 7 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a) 62 x 4 = (d) 82 x 4 = Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S (b) 71 x 8 =

(e) 91 x 7 =

(f) 82 x 3 =

Freezing!

(b) (c)

cm cm

(d) 4.

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(a)

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3. Measure these lines to the nearest centimetre. Record your answer.

Add two of your own.

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mL (d) A

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M3.2—Use a ruler to measure length, a measuring jug to measure capacity and a balance to measure mass.

(a) A plastic cup

(b) An aerosol can cap

. You have been asked to measure a te o length of wood to the nearest 5. Use balance scales to measure the mass of these c . centimetre but do not have any ch e objects to the nearest 100 grams. Add one of your own. r calibrated measuring device available. er o t s s The measure is needed urgently. How r u e p (a) A duster g might you measure the length of (e) A

wood? (b) A dictionary

(d) An exercise book

(e) A

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 9 •

UNIT 4–1 Your Score ✓ 1

1. Solve these.

(a) 1 + 7 =

(b) 9 + 1 =

(d) 3 + 3 =

(e) 2 + 4 =

(f) 12 – 9 =

(g) 14 – 5 =

(h) 3 – 3 =

(i) 7 – 6 =

(j) 11 – 7 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

Calculator

(b) 4 164

r o e t s Bo r e p ok u S (c)

3 159

Rate Your Choice ✓ Boiling!

(d)

5 255

(e)

7 357

(f)

3 276

6 246

Freezing!

(a) 7, 14, 21,

(b) 11, 22, 33,

, ,

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Teac he r

3. Continue these patterns by finding the rule.

, ,

(d) 8, 14, 20,

, , , © R. I . C.Pu bl i cat i ons Complete this multiplication grid. • f o r r e v i e w p u r p o s e s o n l y • 10 (e) 5, 13, 21,

What patterns can you see in the numbers on each diagonal?

. 7t e

6 5 X

o c . 18 ch e r er o t s super 2

Without continuing the pattern, how many dots in the fifth row? Explain your answer.

Check by completing the fourth and fifth rows. • 10 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.4—Find and complete patterns using addition and multiplication strategies.

w ww

m . u

UNIT 4–2 1. Solve these.

Your Score ✓ 1

(a) 0 + 5 =

(b) 8 + 2 =

(d) 8 + 0 =

(e) 7 + 9 =

(f) 8 – 8 =

(g) 12 – 6 =

(h) 18 – 9 =

(i) 3 – 1 =

(j) 8 – 5 =

2. Choose a form of calculation to complete some or all of the following calculations. Written

(a)

Calculator

(b) 3 603

r o e t s Bo r e p ok u S (c)

4 408

Rate Your Choice ✓ Boiling!

(d)

5 505

(e)

2 806

Make a bar graph of the heights.

ew i ev Pr

Teac he r

Our Heights

Heights:

Height in cm

Mine:

Friend 1:

Friend 3:

w ww

. te

Mine

40 35 30 25

Friends

Temperature Readings for the Week

Temperature (°C)

C&D3.2, C&D3.3, M3.2—Measure and record data in a bar graph. Represent data in a line graph.

Friend 4:

2 604

Freezing!

3. Measure your height and the height of four friends. Record the measurements below.

Friend 2:

(f)

3 903

m . u

Mental

Use these temperatures to construct a line graph to show temperature readings for the week.

o c . che e Mondayr 25 °C o t 30 °C r s super Tuesday Wednesday 35 °C

20 Thursday

40 °C

Friday

35 °C

Saturday

35 °C

Sunday

35 °C

15 10 5 0

Mon

Tue

Wed Thu Fri Sat Days of the week

R.I.C. Publications www.ricgroup.com.au

Sun New Wave Maths for WA Book E • 11 •

UNIT 4–3 1. Today’s number is … 14

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

Calculator

(b) 3 990

Rate Your Choice ✓ Boiling!

(c)

(d)

(e)

(f)

r o e t s Bo r e p ok u S

4 880

4 480

3 390

2 640

2 820

Freezing!

Example:

Measure

2 kg 127 g

127

2.127

3 kg 700 g

700

3.700

Measure

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Teac he r

3. Convert the following measures using the pattern in the example.

2.127 kg 3.7 kg

(a) 5 km 256 m

(b) 4 km 827 m

4. Now try these.

L . te (a) 5 L 804 mL Measure

(b) 3 L 750 mL (c) 8 L 600 mL

o c . che e r o t r s super mL

(d) 7 L 300 mL (e) 1 L 580 mL What is the sum of the first nine whole numbers? 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = Can you find a simpler way to reach the total?

Yes

Show your method. Use your findings to find the total of all the numbers from 1 to 99. • 12 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.1a, M3.1—Write measures using decimal points.

w ww

(e) 9 km 400 m

m . u

(d) 8 km 904 m

r o e t s Bo r e p ok u S

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Teac he r

UNIT 5–1

The flip array is showing the eight and nine times tables.

. te

m . u

w ww

WM3.2, WM3.3, WM3.4, N3.4—Make conjectures about patterns and relationships in the times tables.

1. In your group, look at the nine times tables. Do you notice any patterns or anything interesting about the numbers? Write about your discoveries below and include examples.

o c . che e r o t r s super

2. Now look at the eight times tables. Can you see any patterns or anything interesting about the numbers?

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New Wave Maths for WA Book E • 13 •

UNIT 5–2 Your Score ✓ 1

1. Round to the nearest 10.

(a) 76 =

(b) 36 =

(d) 91 =

(e) 27 =

(f) 17 =

(g) 65 =

(h) 8 =

(i) 34 =

(j) 85 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

423 + 264

Calculator

(b)

r o e t s Bo r e p ok u S

256 + 312

Rate Your Choice ✓ Boiling!

(c)

652 + 217

(d)

342 + 614

(e)

713 + 135

Teac he r 5 4 2 +4

2 6 7 +4

(e)

9 5 3 +1

(g)

7 5 2 +3

(i)

4 8 3 +1

(f) P 6 b (h) 9n ©8 R. I . C. u l i ca t i o s (j) 4 5 3 5 7 8e 8 o •f orr vi ew p6ur poses nl y• 7 (d)

w ww

m . u

(b)

(c)

ew i ev Pr

5 3 4 +5

347 + 612

Freezing!

3. Rearrange these numbers to make it easier to add.

(a)

(f)

. te

(a) Add 16

o c . 18 c 21 24 27 30 33 36 39 e her r o st super

(b) Add 13

Show how you can be both first and last in a race.

• 14 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3—Add whole numbers using the simplest method.

4. Complete these tables by adding the given number to each number in the box.

9 10

R.I.C. Publications www.ricgroup.com.au

Written

Rate Your Choice ✓ Boiling!

237 + 647

236 + 149

(b)

(c)

428 + 437

(a)

Mental

(f)

(e)

(d)

328 + 457

542 + 129

718 + 253

Calculator

Freezing!

2. Choose a form of calculation to complete some or all of the following calculations.

m . u

Summarise your findings.

o c . che e r o t r s super

(j) 36 ÷ 6 =

Teac he r

3. How many different regular shapes can you use successfully to tile the space on this page? Sides of shapes can not be longer than 4 cm. Shapes overhanging the outside edge of the box may need to be cut. Use one shape per trial.

. te

(e) 7 x 9 =

(i) 63 ÷ 7 =

(d) 6 x 6 =

(h) 54 ÷ 6 =

(g) 72 ÷ 8 =

(b) 9 x 7 =

(f) 18 ÷ 9 =

(a) 4 x 6 =

1. Solve these.

Your Score ✓ 1

ew i ev Pr

w ww

M3.1, S3.3—Use regular shapes to tile an area.

UNIT 5–3

r o e t s Bo r e p ok u S

New Wave Maths for WA Book E • 15 •

UNIT 6–1 Your Score ✓ 1

1. Solve these.

(a) 5 x 6 =

(b) 1 x 7 =

(d) 2 x 9 =

(e) 8 x 9 =

(f) 72 ÷ 9 =

(g) 16 ÷ 8 =

(h) 35 ÷ 7 =

(i) 24 ÷ 6 =

(j) 12 ÷ 6 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

Calculator

653 – 214

Your Score ✓ 1

(b)

847 – 219

(c)

456 – 218

(d)

893 – 746

(e)

943 – 225

(f)

r o e t s Bo r e p ok u S 7

762 – 246

ew i ev Pr

Teac he r

3. Odd and Even Numbers—Draw rectangular arrays to show whether these numbers are odd or even.

Odd

Even

Odd

Even

Odd

Even

Odd

Even

one that is only divisible by one and itself. A composite number is a whole number greater than one that can be divided by more than one and itself.

. te

o c . che e r o t r s super

Prime numbers:

Composite numbers:

Two and three are consecutive prime numbers. Are there any other consecutive prime numbers?

Yes

Explain your answer. • 16 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.2—Understand the terms ‘odd’, ‘even’, ‘prime number’ and ‘composite number’.

m . u

w ww

4. Investigate which of the numbers below are prime and which are composite. Use concrete materials to make rectangular arrays, with sides greater than one. Draw the results of your investigations on the grid below.

UNIT 6–2 Your Score ✓ 1

1. Solve these.

(a) 8 x 7 =

(b) 6 x 8 =

(d) 1 x 9 =

(e) 4 x 7 =

(f) 9 ÷ 9 =

(g) 40 ÷ 5 =

(h) 14 ÷ 7 =

(i) 54 ÷ 9 =

(j) 18 ÷ 6 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

746 – 483

Calculator

(b)

r o e t s Bo r e p ok u S

563 – 291

3. Make a tally of the different colours of vehicles that pass your school grounds in a 15-minute period.

716 – 353

(d)

639 – 478

(e)

463 – 172

(f)

427 – 235

Freezing!

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

(c)

Do not leave the school grounds to do this.

w ww

(a) Which colour was the most common?

. te (b) Which colour was the

C&D3.2, C&D3.4—Collect, record and analyse data.

least common?

m . u

(e) Give reasons for these last two answers.

o c . by keeping tallies at different times of the che (f) Check e r day and for different days of the week. o t r syou find? supWhat did er

How would you find out who is the favourite pop singer or group among the students in your class?

(d) Would your tally be the same for different days of the week? Yes

R.I.C. Publications www.ricgroup.com.au

How can you show this for others to see? Write your answer as a report to show your results. New Wave Maths for WA Book E • 17 •

UNIT 6–3 Your Score ✓ 1

1. Solve these.

(a) 6 x 3 =

(b) 6 x 7 =

(d) 6 x 9 =

(e) 9 x 4 =

(f) 36 ÷ 9 =

(g) 32 ÷ 4 =

(h) 49 ÷ 7 =

(i) 6 ÷ 6 =

(j) 35 ÷ 5 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

524 – 286

Calculator

(b)

r o e t s Bo r e p ok u S

735 – 569

647 – 488

(d)

(e)

935 – 648

(f)

923 – 387

Freezing!

3. Estimate to give an approximate answer to these sums. (a) A school collected $15.40, $12.80, $9.20 and $18.80 on separate days for a class outing. Approximately how much money was collected altogether?

(d) The school canteen collected $2756 from students over one week. Canteen expenses amounted to $1923. Approximately how much profit did the canteen make for the week?

$ © R. I . C.Publ i c at i ons •f orr evi ew pur posesonl y•

w ww

(b) A traffic count was made over three days on a busy road. The number of vehicles counted was 6281, 2957 and 7194. Approximately how many vehicles used the road over the three days?

. te vehicles

(e) 3294 spectators paid to watch the local derby between East Dockyard and South Dockyard football clubs. 1728 spectators were South Dockyard supporters. Approximately how many spectators were supporting East Dockyard?

m . u

521 – 164

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

(c)

o c . che e r o t r s supe r Think of a number between 1 and 10.

(c) A farmer had 6754 sheep. He sold 2184. Approximately how many sheep did he have left? sheep • 18 • New Wave Maths for WA Book E

supporters

Double it. Add 6. Halve the result. Take away the number you started with. The answer is …

Try this several times. Does the answer change?

Yes

R.I.C. Publications www.ricgroup.com.au

N3.3—Estimate answers to written problems.

(a)

Written

(i) 159c =

(j) 308c =

(d) $4.50 =

(e) $1.91 =

9 10

(h) 219c =

(g) 460c =

(b) $5.28 =

(f) 27c =

(a) $7.00 =

… as dollars.

1. Write these as … cents.

Your Score ✓ 1

. te

R.I.C. Publications www.ricgroup.com.au

79 8

58 4

63 5

Written

(f)

(e)

(d)

67 5

76 6

83 9

Calculator

Freezing!

I wish to join nine sections of chain together. Each section of chain has four links. If it costs 50c to cut open a link and $1 to weld it together, what is the cheapest I can join the chains together?

Rate Your Choice ✓ Boiling!

(c)

(b)

(a)

Mental

m . u

o c . che e r o t r s super

2. Choose a form of calculation to complete some or all of the following calculations.

Teac he r

3. Use five 2-cm cubes to make as many different arrangements as you can. One full face of each cube must be contacting another full face. Draw each one on this page after you make it.

r o e t s Bo r e p ok u S

ew i ev Pr

w ww

S3.2—Use 2-cm cubes to make and draw as many arrangements as possible.

UNIT 7–1

New Wave Maths for WA Book E • 19 •

UNIT 7–2 Your Score ✓ 1

1. Write these as … millilitres. (a) 2.6 L =

(b) 1.93 L =

(d) 3.495 L =

(e) 6.8 L =

(h) 1043 mL =

(i) 3259 mL =

(j) 4000 mL =

… litres. (f) 1725 mL =

(g) 8700 mL =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

123 x 3

r o e t s Bo r e p ok u S

Calculator

(b)

424 x 2

Rate Your Choice ✓ Boiling!

(c)

243 x 2

(d)

212 x 4

(e)

331 x 3

Freezing!

3. Write the answers to these.

(f)

(a) 2/5 + 2/5 =

(g) 1/4 + 1/4 =

(m) 2/6 + 3/6 =

(b) 1/6 + 1/6 =

(h) 3/8 + 3/8 =

(n) 1/4 + 2/4 =

(e) 1/3 + 1/3 =

(k) 4/7 + 1/7 = (l) 3/10 + 5/10 =

. te

w ww

(f) 4/9 + 4/9 =

o c . che (e) / + / = = e 8 r o t r s sup(f)er / + / = 6 =

4. Write the answers to these in two ways. (a) 3/4 + 1/4 =

4 =

(b) 2/5 + 3/5 =

5 =

10 =

(g) 1/9 + 8/9 =

9 =

(d) 2/7 + 5/7 =

7 =

(h) 2/7 + 5/7 =

7 =

Write as many fractions as you can that are equal to one whole. • 20 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.1b, N3.3—Add and write fractions correctly.

m . u

(d) 2/10

123 x 2

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Teac he r

(a)

Written

9 10

(e) 56/200

/100

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126 3

Written

Rate Your Choice ✓ Boiling!

338 x 2

(b)

(c)

247 x 2

(a)

Mental

(f)

(e)

(d)

138 2

317 x 3

223 x 4

Calculator

Freezing!

Teac he r

m . u

4. Write a brief report on your models describing any interesting facts you have found.

o c . che e r o t r s super

2. Choose a form of calculation to complete some or all of the following calculations.

3 1 /3

/100

8 1 /6

/1000

412

How many triangles can you find in this shape?

3. Use sixteen 2-cm cubes to make as many prisms as you can. Use all sixteen cubes for each model. Draw your models on this page.

. te

/200 (j) 71/3

/100 (i)

(c)

/1000

379

(g) 3/8

(f)

/100 (h) 51/6

/20

(d) 19/100

/100

(b) 15/20

(a) 5/8

1. Use >, < or = to make these true.

r o e t s Bo r e p ok u S

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Your Score ✓ 1

w ww

S3.2—Use 2-cm cubes to make and draw as many arrangements as possible.

UNIT 7–3

New Wave Maths for WA Book E • 21 •

UNIT 8–1 1. 5 x 10, I can see …

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

Calculator

(b) 4 328

Rate Your Choice ✓ Boiling!

(d) 3 129

(e) 8 648

(f) 5 455

r o e t s Bo r e p ok u S

7 567

Freezing!

3. Work these examples mentally (use concrete materials if needed).

(s) 3 x 37 =

(k) 3 x 31 =

(t) 3 x 63 =

(l) 3 x 16 =

(u) 5 x 19 =

(d) 3 x 27 =

(m)2 x 44 =

(v) 7 x 81 =

(e) 2 x 14 =

(n) 6 x 12 =

(w)4 x 24 =

Teac he r

(b) 2 x 38 =

ew i ev Pr

(j) 4 x 13 =

(a) 3 x 12 =

(o) 9 x 31 =

(x) 10 x 32 =

(g) 3 x 11 =

(r) 4 x 15 =

(a) 132 ÷ 4 =

(b) 255 ÷ 5 = (c) 75 ÷ 3 = (d) 96 ÷ 2 = (e) 129 ÷ 3 =

. te

(i) 180 ÷ 3 =

(q) 350 ÷ 5 =

(s)o 328 ÷ 4 = c . che(l) 185 ÷ 5 = e (t) 150 ÷ 6 = r o r st (u) 213 ÷ 3 = s÷ p r (m)132u 3=e (j) 192 ÷ 4 =

(r) 110 ÷ 2 =

(k) 78 ÷ 6 =

(f) 248 ÷ 4 =

(n) 98 ÷ 2 =

(v) 120 ÷ 4 =

(g) 118 ÷ 2 =

(o) 316 ÷ 4 =

(w)140 ÷ 2 =

(h) 160 ÷ 5 =

(p) 96 ÷ 6 =

(x) 120 ÷ 6 =

When multiplying any whole numbers by a multiple of 10, what will the last digit in your answer always be? • 22 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3—Use mental strategies to multiply and divide whole numbers.

w ww

4. Work these examples mentally (use concrete materials if needed).

m . u

(i) 4 x 10 =

UNIT 8–2 Your Score ✓ 1

1. Add these.

(a) 2 + 7 + 5 =

(b) 4 + 9 + 5 =

(d) 2 + 7 + 3 =

(e) 4 + 9 + 2 =

(f) 2 + 6 + 2 =

(g) 3 + 6 + 7 =

(h) 9 + 5 + 1 =

(i) 3 + 8 + 5 =

(j) 2 + 7 + 4 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

Calculator

(b) 8

r o e t s Bo r e p ok u S (c)

Rate Your Choice ✓ Boiling!

(d)

(e)

(f) 54

Freezing!

Blue

Gold

Green

Brett, Rochelle, Coleen and Bob are all House Captains. The two boys are captains of houses that begin with the same letter. Bob does not belong to Green. The captain of Red shares the same initial letter of her name as the house. Match the children with their house.

ew i ev Pr

Teac he r

3. Use the Carroll diagram below to solve this problem.

Red

Brett

Rochelle Coleen Bob

4. Survey your class to see which is the favourite sport of the boys and the girls.

w ww

m . u

(a) Which sport do the boys prefer? (b) Which sport do the girls prefer?

. te

C&D3.2, C&D3.3, C&D3.4—Collect, collate and record data in a two-way table.

o c . che e r o t r s super Aussie Rules

The letters A, B and C represent different numbers in the addition sum.What digit does each letter represent? R.I.C. Publications www.ricgroup.com.au

Swimming

Soccer Hockey Basketball

B B + AA C BC

Other

A= B= C= New Wave Maths for WA Book E • 23 •

UNIT 8–3 Your Score ✓ 1

1. Solve these.

(a) 8 + 3 – 2 =

(b) 4 + 7 – 3 =

(d) 5 + 5 – 5 =

(e) 7 + 3 – 6 =

(f) 3 + 6 – 4 =

(g) 8 + 7 – 5 =

(h) 2 + 3 – 5 =

(i) 4 + 4 – 3 =

(j) 7 + 7 – 1 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

Calculator

(b) 4 144

r o e t s Bo r e p ok u S (c)

6 198

Rate Your Choice ✓ Boiling!

(d)

5 165

(e)

8 184

(f)

7 175

6 192

Freezing!

= 70

(g) 2 x 4 x

= 48

(m) 3 x 9 x

= 54

x 8 = 96

(h) 2 x 4 x

= 80

(n) 3 x 4 x

= 48

(i) 5 x 3 x

= 45

(o) 2 x 5 x

= 20

(a) 5 x 7 x

(j) 4 x x 4 = 64 x x 6 = 24 © R. I . C.Pu bl i cat i o(p)n2s = 72 (k) 7 x 6 x = 84 2x x 16 = 64 •f orr ev i ew pur poses(q)o nl y•

x 23 x 2 = 92

(e) 4 x 6 x (f) 3 x 7 x

= 84

(l) 2 x

x 19 = 76

(r) 7 x

w ww

(a) 8 x 4 x

= 64

= 68 . te = 30

(b) 17 x 2 x (c) 3 x 2 x (d) 2 x

x 9 = 90

(e) 7 x 4 x (f)

(g) 2 x 3 x

m . u

4. Find the missing numbers in these multiplication problems.

x 1 = 56

= 24

(m) 12 x

x 2 = 96

o c . che e r o (j) r 4s x6x = 72 s t uper (p) 3 x (h) 4 x 8 x

= 64

(n) 5 x

x 9 = 45

(i) 4 x 2 x

= 56

(o) 2 x

x 6 = 36

= 56

(k) 5 x 3 x

= 45

(q) 2 x

x 3 x 6 = 72

(l) 4 x 3 x

= 36

(r)

Does the order in which you multiply numbers matter?

Yes

x 6 = 54 x 12 = 48

x 5 x 3 = 60

For example 5 x 7 x 2 or 2 x 7 x 5 or 5 x 2 x 7. Explain.

• 24 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.2—Use the relationship between multiplication and division to solve problems.

(b) 3 x

ew i ev Pr

Teac he r

3. Find the missing numbers in these multiplication problems.

UNIT 9–1 Your Score ✓ 1

1. Add these.

(a) 4 + 8 + 3 =

(b) 9 + 1 + 7 =

(d) 2 + 7 + 8 =

(e) 3 + 3 + 3 =

(f) 4 + 5 + 3 =

(g) 8 + 4 + 6 =

(h) 9 + 1 + 5 =

(i) 8 + 2 + 9 =

(j) 4 + 3 + 6 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

693 + 284

r o e t s Bo r e p ok u S

Calculator

(b)

276 + 381

Rate Your Choice ✓ Boiling!

(c)

453 + 285

(d)

746 + 192

Freezing!

(e)

382 + 493

(f)

482 + 351

ew i ev Pr

Teac he r

(a)

Written

3. The school is planning a fete/fun day at school.The following rides and fun activities are to be placed on-site.

(a) Draw a plan of the school oval or suitable area where these rides and activities can be located. Remember to leave space for safe passage around each site. (b) Make models to represent relative sizes of each of the rides or activities.

S3.1, S3.2—Work collaboratively to design and make models to represent a fete.

w ww

. te

m . u

© R. I . C.Publ i cat i ons • merry-go-round • small Ferris wheel • slippery slide (water and soap) •f orr evi ew pur posesonl y• • blow-up bouncy castle • 60-m hole-in-one golf • dunking machine • pony rides

o c . che e r o t r s super

1 cm = 1 m R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 25 •

UNIT 9–2 Your Score ✓ 1

1. Solve these.

(a) 4 + 7 – 3 =

(b) 6 + 6 – 5 =

(d) 5 + 7 – 4 =

(e) 9 + 9 – 8 =

(f) 3 + 6 – 5 =

(g) 2 + 2 – 1 =

(h) 5 + 4 – 8 =

(i) 6 + 7 – 5 =

(j) 8 + 2 – 9 =

2. Choose a form of calculation to complete some or all of the following calculations. 834 + 723

r o e t s Bo r e p ok u S

Calculator

(b)

Rate Your Choice ✓ Boiling!

425 + 753

(c)

943 + 836

821 + 547

(e)

Freezing!

3. Commutative (Reordering)

623 + 645

(f)

x 302 =

Example: 4 x (6 x 3) = (4 x 6) x 3 = 72 (a) 5 x (4 x 7) = (

= . (b)l 2c x (3 xt 9) = (n ©R I . C.Pub i a i o sx ) x (c) 204 x 2 = 2 x = (c) 6 x (5 x 4) = ( x )x •f orr e vi ew pur poseson l y• (b) 403 x 2 = 2 x

(e) 5 x (2 x 9) = (

x 301 =

(f) 4 x (2 x 7) = (

(g) 8 x (5 x 3) = (

w ww

(g) 201 x 9 = 9 x

. te (i) 501 x 7 = 7 x

o x c . c e h (j) 802 x 4 = x 802 =e (j) 7 x (2 xo 10)r =( x t r s s r upe 5. Which method did you find easier? (h) 702 x 3 = 3 x

Commutative

(d) 3 x (3 x 8) = (

(e) 602 x 4 = 4 x (f) 301 x 5 =

x 304 =

m . u

(d) 304 x 2 =

925 + 832

4. Associative (Regrouping)

Example: 326 x 5 = 5 x 326 = 1630

(a) 302 x 3 =

(d)

ew i ev Pr

Teac he r

(a)

Written

(h) 4 x (5 x 9) = (

(i) 5 x (5 x 3) = (

Associative

Explain why.

Use brackets to make this number sentence true.

2–3–2–2–2=1 • 26 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3—Solve multiplication problems using the commutative and associative processes.

Mental

UNIT 9–3 1. 12 x 13 =

Explain how you solved the problem.

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

387 + 259

Calculator

(b)

r o e t s Bo r e p ok u S

695 + 296

Rate Your Choice ✓ Boiling!

(c)

378 + 469

(d)

163 + 759

(e)

246 + 578

(f)

468 + 357

ew i ev Pr

Teac he r

Freezing!

3. Use a fixed perimeter (16 cm) and draw as many shapes as you can on the grid below. Write the area of each shape inside each shape. Try this activity with a geoboard. Which shape has the largest area?

. te

R.I.C. Publications www.ricgroup.com.au

m . u

w ww

M3.4a—Use grid paper to generate polygons of a set perimeter in order to compare area.

o c . che e r o t r s super

New Wave Maths for WA Book E • 27 •

UNIT 10–1 1. Round these to the nearest thousand.

Your Score ✓ 1

(a) 5724 =

(b) 1623 =

(d) 5271 =

(e) 3517 =

(f) 9327 =

(g) 2911 =

(h) 6987 =

(i) 4621 =

(j) 7023 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

r o e t s Bo r e p ok u S

Calculator

(a) 84 – 4 =

Rate Your Choice ✓ Boiling!

(e) 69 – 7 =

(f) 75 – 3 =

Freezing!

ew i ev Pr

Teac he r

(d) 87 – 7 =

(b) 65 – 3 =

3. The scores for 21 children on a mathematics test are listed below.The scores are out of ten. 9

Complete this table to show the frequency with which each score occurred.

Score

(b) to

w ww

(d) List all 21 scores in order from smallest to largest.

What is the highest test score?

m . u

Tally

. teon the list is o (e) The middle number . This is the median. c . chescore is e . This is ther mode. (f) The most commonly occurring o t r s s r u e p (g) Is the median score the Yes

Four children sat the test late and scored 0, 1, 1 and 2.What effect will this have on the mean, mode and median?

Can you explain this?

(h) Would you expect the median score to be the mode score?

Yes

Why/Why not?

• 28 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.1a, C&D3.3—Summarise and analyse a set of data.

same as the mode score?

9 10

100

(b) 4 x 4 x 4

(d) 5 x 3 x 2

(e) 6 x 2 x 4

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Written

Rate Your Choice ✓ Boiling!

(f) 54 – 8 =

(e) 83 – 5 =

(d) 61 – 6 =

(b) 94 – 7 =

(a) 76 – 8 =

Mental

Calculator

0300

0200

0100

Freezing!

1600

1500

1400

1300

1200

1100

1000

0900

0800

0700

0600

0500

0400

2300

2200

2100

1700

m 1800 1900 . u 2000

o c . che e r o t r s super

(j) 6 x 1 x 3

(i) 3 x 4 x 2

3x3x3x3

(h) 9 x 1 x 2

(g) 81

(f) 8 x 2 x 3

0000

Time

Teac he r

School-day Activity Saturday Activity

3. Use 24-hour time to list the activities you would do on a normal school day and on a Saturday.

. te

2. Choose a form of calculation to complete some or all of the following calculations.

(a) 2 x 2 x 2

1. Use >, < or = to make these true.

Your Score ✓ 1

r o e t s Bo r e p ok u S

ew i ev Pr

w ww

C&D3.2, M3.2, M3.4a—Read and record 24-hour times in a timetable.

UNIT 10–2

New Wave Maths for WA Book E • 29 •

UNIT 10–3 1. Solve these.

Your Score ✓ 1

(a) 6 x 3 =

(b) 2 x 4 =

(d) 4 x 6 =

(e) 6 x 5 =

(f) 10 ÷ 2 =

(g) 27 ÷ 3 =

(h) 35 ÷ 5 =

(i) 49 ÷ 7 =

(j) 18 ÷ 3 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

847 – 26

Calculator

(b)

(c)

749 – 83

(d)

638 – 28

(e)

726 – 65

(f)

527 – 36

Freezing!

3. Add the following pairs of numbers mentally or use Base 10 MAB.

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S

496 – 23

(a) 54 + 143 =

(f) 27 + 38 =

(k) 156 + 87 =

(b) 25 + 242 =

(g) 49 + 26 =

(l) 377 + 79 =

(h) 26 + 58 =

(m) 495 + 38 =

(i) 18 + 65 = (n) 258 + 64 = © R. I . C.Publ i cat i on s (e) 33 + 156 = (j) 35 + 39 = (o) 586 + 56 = •f orr evi ew pur posesonl y• (d) 74 + 613 =

4. Now add these pairs of numbers mentally or use Base 10 MAB. (k) 249 + 83 =

(b) 67 + 812 =

(g) 24 + 48 =

(l) 165 + 96 =

(h) 18 + 58 =

(m) 479 + 57 =

5. Now try these.

o c . che e r o t r s super (i) 46 + 19 =

(n) 657 + 64 =

(j) 55 + 37 =

(o) 394 + 39 =

Remove six toothpicks to leave two squares.

(a) 13 + 5 + 15 = (b) 24 + 10 + 11 = (c) 18 + 12 + 5 = (d) 29 + 11 + 6 = (e) 31 + 19 + 7 =

(g) 27 + 3 + 14 =

(f) 38 + 14 + 2 =

(h) 16 + 28 + 4 =

• 30 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3—Uses mental strategies to solve addition problems.

w ww

. te (e) 33 + 345 = (d) 22 + 556 =

m . u

(f) 57 + 27 =

(a) 12 + 725 =

UNIT 11–1 Your Score ✓ 1

1. Solve these.

(a) 4 x 5 =

(b) 4 x 2 =

(d) 8 x 2 =

(e) 3 x 2 =

(f) 16 ÷ 4 =

(g) 18 ÷ 2 =

(h) 42 ÷ 6 =

(i) 9 ÷ 3 =

(j) 24 ÷ 6 =

9 10

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

271 x 3

Calculator

(b)

r o e t s Bo r e p ok u S

362 x 2

Rate Your Choice ✓ Boiling!

(c)

183 x 3

(d)

253 x 3

(e)

182 x 4

(f)

274 x 2

Teac he r

Freezing!

(a)

ew i ev Pr

3. Write a description of these three solid shapes so a partner could recognise and draw them.

w ww

o c . che e r o t r s super

S3.2—Analyse and describe 3-D shapes.

. te

m . u

(b)

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New Wave Maths for WA Book E • 31 •

UNIT 11–2 Your Score ✓ 1

1. Solve these.

(a) 9 x 5 =

(b) 3 x 8 =

(d) 7 x 9 =

(e) 3 x 5 =

(f) 36 ÷ 6 =

(g) 20 ÷ 5 =

(h) 30 ÷ 3 =

(i) 16 ÷ 2 =

(j) 28 ÷ 4 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

621 x 3

Calculator

(b)

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S

914 x 2

(c)

622 x 4

(d)

713 x 3

(e)

822 x 4

(f)

923 x 3

3. Use Base 10 MAB or your own strategies to find these differences.

(a) Take 36 from 84 or 84 – 36 =

ew i ev Pr

Teac he r

Freezing!

(d) Take 25 from 32 or

(h) Take 35 from 61 or

(e) Take 37 from 41 or

(i)

. te

m . u

w ww

Take 43 from 71 or

o c . che= e (g) 107 and 325r o t r s s r u e p = (h) 99 and 124

4. Use Base 10 MAB or your own strategies to complete these sums by finding the difference between them.

(b) 79 and 56 (c) 243 and 172

(f)

223 and 416

= = =

(d) 327 and 514

(i)

641 and 273

(e) 56 and 29

(j)

74 and 86

Mr Dayman retired and passed his farm to his four sons. The farm was to be divided so that each son was to receive a piece of the farm that was the same shape and size. Show how this can be done. • 32 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3—Use chosen strategies to solve subtraction problems.

(a) 27 and 78

UNIT 11–3 Your Score ✓ 1

1. Solve these.

(a) 6 x 4 =

(b) 8 x 4 =

(d) 4 x 4 =

(e) 8 x 6 =

(f) 9 ÷ 1 =

(g) 6 ÷ 2 =

(h) 54 ÷ 6 =

(i) 40 ÷ 8 =

(j) 48 ÷ 6 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

265 x 3

Calculator

(b)

r o e t s Bo r e p ok u S

479 x 2

Rate Your Choice ✓ Boiling!

(c)

358 x 2

(d)

167 x 4

(e)

189 x 5

(f)

185 x 4

Teac he r

Freezing!

My height is

Height (cm)

2 3

(a) What is the shortest height?

w ww 23

. te 26

4. Use the data to answer these.

7 M3.2, N3.1a—Measure and record height in centimetres. Use data to answer questions.

Height (cm)

cm.

24 25

m . u

ew i ev Pr

3. Measure your height to the nearest centimetre. Record these results in the table below. Record your classmates’ heights as well.

o c . cm to cm che e r o cm. r s su (e) The median height ist r pe

R.I.C. Publications www.ricgroup.com.au

(d) What is the range of heights?

(f) The mode height is

cm.

How could you work out these results without a ruler or tape measure?

New Wave Maths for WA Book E • 33 •

UNIT 12–1 Your Score ✓ 1

1. Solve these.

(a) 2 x 3 =

(b) 5 x 2 =

(d) 9 x 2 =

(e) 9 x 6 =

(f) 48 ÷ 8 =

(g) 32 ÷ 4 =

(h) 6 ÷ 3 =

(i) 14 ÷ 2 =

(j) 45 ÷ 5 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

827 + 729

Calculator

(b)

(c)

458 + 619

(d)

738 + 746

(e)

964 + 828

(f)

826 + 519

Freezing!

3. From the list below, write all the numbers less than 21. 5, 62, 59, 20, 30, 19, 43 and 12

4. From the list below, write all the numbers greater than 247.

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S

638 + 543

364, 219, 99, 810, 301, 189, 411 and 246

5. Order these numbers from smallest to largest.

. te o (c) 8764 L, 8098 L, 8900 L, 8587 L c . che e r o t r s super (d) 8659, 8695, 8965, 8569

Write the prime numbers between 40 and 50. (e) 859 758, 699 999, 400 652, 587 697

(f) 13 569, 13 596, 13 695, 13 659

• 34 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.1a—Read, order and write numbers into the thousands.

w ww

(b) 684 kg, 399 kg, 507 kg, 260 kg

m . u

(a) 472 m, 409 m, 438 m, 490 m

(i) 74, 69, 64, 59,

(j) 47, 44, 41, 38,

(d) 1, 2, 4, 8,

(e) 8, 15, 22, 29,

(h) 5, 14, 23, 32,

(g) 20, 40, 30, 50,

(b) 1, 2, 4, 7,

(f) 4, 4, 8, 8,

(a) 1, 3, 6, 10,

1. Complete these patterns.

Your Score ✓ 1

8 9 10

R.I.C. Publications www.ricgroup.com.au

o c . che e r o t r s super

(f)

(e)

(d)

872 + 693

753 + 872

493 + 565

Calculator

Freezing!

Chocolate cake (CC)

Fish and salad (FS)

Chicken soup (CS)

(b) How many combinations are possible?

m (a) Write the combinations using the initials. . u

Dessert

Main Course

Tomato soup (TS)

Teac he r

Using the number 9 and the signs ( ), +, –, x and ÷, make the following numbers: 27, 43, 61

Rate Your Choice ✓ Boiling!

382 + 657

594 + 683

(b)

(c)

872 + 963

(a)

Written

2. Choose a form of calculation to complete some or all of the following calculations.

Mental

Entree

Strawberry cheesecake (SC)

Beef and vegetables (BV)

Vegetable soup (VS)

3. Show the different meal combinations which are possible. Use coloured pencils to show the selections.

r o e t s Bo r e p ok u S

ew i ev Pr

. te

w ww

C&D3.3—Record selections using an arrow diagram.

UNIT 12–2

New Wave Maths for WA Book E • 35 •

UNIT 12–3 1. Write these as … metres. (a) 236 cm =

Your Score ✓ 1

(b) 800 cm =

(d) 479 cm =

(e) 312 cm =

(h) 8.04 m =

(i) 1.79 m =

(j) 4 m =

… centimetres. (f) 4.6 m =

(g) 2.49 m =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

756 + 859

r o e t s Bo r e p ok u S

Calculator

(b)

Rate Your Choice ✓ Boiling!

469 + 633

(c)

853 + 379

(d)

654 + 887

(e)

597 + 964

(f)

748 + 396

Freezing!

ew i ev Pr

Teac he r

(a)

Written

3. Write the fraction illustrated by the diagram and show the equivalent fraction as a number sentence.

(b)

=b © R. I . C.Pu l i cat i ons = (f)i (j) o •f orr ev ew pur poses nl y• =

w ww =

(c)

(i)

. te

(g)

(k)

o c . che e r o t r s super

(d)

(h)

(l)

Make a chart showing fraction equivalence that is easy to read and understand. • 36 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.1b—Read and write fractions.

1 2

(e)

m . u

(a)

(i) 2740c

(j) 3462c

(d) $20.00

(e) $14.44

9 10

(h) 2206c

(g) 3100c

(b) $13.46

(f) 4275c

(a) $10.20

… dollars

1. Write as … cents.

Your Score ✓ 1

R.I.C. Publications www.ricgroup.com.au

o c . che e r o t r s super

Written

Rate Your Choice ✓ Boiling!

627 – 408

784 – 360

(b)

(c)

847 – 206

(a)

Mental

(f)

(e)

(d)

473 – 106

675 – 209

935 – 690

Calculator

Freezing!

m . u

. te

2. Choose a form of calculation to complete some or all of the following calculations.

Teac he r

3. Draw as many different nets as you can think of that can be used to construct an open box. Copy your nets onto stiff card. Cut and fold these copied nets to test your drawings. Draw a tick next to the drawings below which worked.

Shade the two sides in each of your nets that will be opposite each other when the open box is made. Check on your nets to see if you are correct.

r o e t s Bo r e p ok u S

ew i ev Pr

w ww

S3.2—Draw and highlight nets that could be used to construct a box.

UNIT 13–1

New Wave Maths for WA Book E • 37 •

UNIT 13–2 Your Score ✓ 1

1. Solve these.

(a) 20 + 30 =

(b) 40 + 60 =

(d) 10 + 50 =

(e) 80 + 30 =

(f) 90 – 20 =

(g) 30 – 10 =

(h) 90 – 60 =

(i) 40 – 30 =

(j) 80 – 70 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

340 – 218

Calculator

(b)

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S

670 – 356

(c)

420 – 217

(d)

680 – 349

(e)

750 – 321

(f)

560 – 237

Teac he r

Freezing!

ew i ev Pr

3. Add to or subtract from both sides of these closed number sentences to keep them balanced.

Examples:

20 + 7 = 27

➔

220 + 7 = 227

48 – 5 = 43

➔

8–5=3

(a) 7 + 6 = 13

➔

(b) 32 + 5 = 37

➔

(d) 406 – 3 = 403

➔

(e) 14 – 8 = 6

➔

(added 200) (subtracted 40)

What have you added or subtracted?

107 + 6 =

w ww

m . u

– 8 = 206

Open Number Sentences

x2+1= . te o Write three pairs of numbers that follow this rule. c . c e r ( , )( , )( h , e ) o t r s super

4. My age is double my friend’s and one year more. The open number sentence describing this relationship would be:

5. Brett is four years younger than Rochelle.

–4=B

Write three pairs of numbers that show Brett’s and Rochelle’s ages. (

)(

)

Using the example of the open number sentences above, make at least one open number sentence of your own. Write the number sentence explanation and the open number sentence. Give it to a friend to solve. • 38 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3—Use a constant to add to or subtract from a number sentence to keep it balanced.

6–3=

UNIT 13–3 Your Score ✓ 1

1. Solve these.

(a) 70 + 40 =

(b) 30 + 80 =

(d) 60 + 70 =

(e) 20 + 60 =

(f) 70 – 40 =

(g) 50 – 30 =

(h) 60 – 10 =

(i) 30 – 20 =

(j) 50 – 40 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

604 – 321

Calculator

(b)

r o e t s Bo r e p ok u S

807 – 436

Rate Your Choice ✓ Boiling!

(c)

908 – 742

(d)

806 – 346

(e)

707 – 483

(f)

804 – 251

Teac he r

Freezing!

ew i ev Pr

3. Use twenty 2-cm cubes to construct as many different objects as you can. In each object at least one full face of each cube must be contacting another full face (only full-face contact is permitted). Draw each of your objects on this page. Record the volume and surface area on each shape.

. te

m . u

w ww

M3.2, S3.2—Compare and record surface area and volume using a specified number of cubes to make 3-D models.

o c . (a) How many could you find? che e r o (b) What did you notice about the volume and the surface area of t r s the objects? super Can you find a relationship between the surface area and the volume from the different models you constructed in the activity above?

Yes

Explain.

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 39 •

UNIT 14–1 1. Solve these.

Your Score ✓ 1

(a) 60 + 60 =

(b) 80 + 50 =

(d) 30 + 40 =

(e) 50 + 30 =

(f) 70 – 60 =

(g) 90 – 30 =

(h) 40 – 10 =

(i) 80 – 30 =

(j) 50 – 20 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

827 x 2

Calculator

(b)

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S

916 x 6

(c)

723 x 4

(d)

619 x 4

(e)

827 x 3

(f)

725 x 3

Teac he r

Freezing!

ew i ev Pr

3. Use real materials to find the solutions to these problems.

(a) Divide a one-metre strip of streamer into lengths of 0.25 m.

How many lengths are there now?

. te

o c . che e r o t r s supe r How much could three people each have?

(d) Share 0.9 of a kilogram of apples into 0.3 kilogram lots.

Change

How many people will get a share? • 40 • New Wave Maths for WA Book E

by moving one counter only. R.I.C. Publications www.ricgroup.com.au

N3.1b—Use concrete materials to separate objects into equal parts.

w ww

m . u

How many equal lengths are there?

r o e t s Bo r e p ok u S

ew i ev Pr

Teac he r

UNIT 14–2

1. In your group, discuss how you 2. Choose the information from your findings that can be displayed would sort the shapes in the as a Venn diagram. Label the four parts of the diagram.Write the photograph into different number of shapes for each category. categories. Record your ideas below.

. te

m . u

w ww

WM3.2, WM3.4, C&D3.2, C&D3.3—Pose, ask and contribute mathematical questions prompted by a specific stimulus.

o c . che e r o t r s super

3. Now represent your data as a two-way table.

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New Wave Maths for WA Book E • 41 •

UNIT 14–3 1. Today’s number is … 22

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

597 x 6

Calculator

(b)

Rate Your Choice ✓ Boiling!

843 x 9

(c)

658 x 4

(d)

749 x 8

(e)

837 x 5

(f)

r o e t s Bo r e p ok u S

847 x 6

Freezing!

(a)

(b) (c)

27 x 42

36 x 32 54 x 62

(d)

83 x 38

(e)

72 x 76

(f)

= (g)

= (h)

53 x 26

43 x 38

67 x 46

x 64

ew i ev Pr

Teac he r

3. Round both numbers to the nearest ten then find the approximate answer.

(i) l 91a © R . I . C . P u b i c t i ons x = x 82 x = •f orr evi ew pu(j)r po esonl y• 19 s

Estimate

w ww

(a) 6 2 7 4 3817 +2593

Estimate

(b) +

8299 318 +6412

m . u

4. Round to the nearest thousand then find the approximate answer. 1991 58 +7284

Estimate

– N3.3—Use rounding to estimate sums and products.

. te o 5. Round to the nearest thousand then find the approximate answer. c . c e h(b)er r (a) 8 4 9 5 4986 (c) o t s – 47 92 78 31 er –2164 – – 1s 8u 5 1p –

Estimate

How many rectangles can you find in this shape. (Hint: Squares are rectangles too.)

Explain how you reached your total. • 42 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

UNIT 15–1 Your Score ✓ 1

1. Write the place value of the underlined numbers.

(a) 647

(b) 827

(d) 7219

(e) 864

(f) 6352

(g) 4617

(h) 8725

(i) 6314

(j) 8206

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

r o e t s Bo r e p ok u S

Calculator

(b) 7 147

(c)

9 189

Rate Your Choice ✓ Boiling!

(d)

6 246

(e)

9 369

(f)

7 217

5 150

3. Write next to the angle those that are:

ew i ev Pr

Teac he r

Freezing!

right angles (90º)–R, acute angles (<90º)–A or obtuse angles (>90º)–O.

(d)

w ww M3.2—Compares angles to find right angles, acute angles and obtuse angles.

. te (f)

(e)

m . u

(a)

o c . che (g) e r o t r s super

(h)

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New Wave Maths for WA Book E • 43 •

UNIT 15–2 Your Score ✓ 1

1. Round these numbers to the nearest ten.

(a) 32 =

(b) 38 =

(d) 92 =

(e) 24 =

(f) 54 =

(g) 68 =

(h) 63 =

(i) 71 =

(j) 18 =

9 10

2. Choose a form of calculation to complete some or all of the following calculations. Mental

r o e t s Bo r e p ok u S

Written

(a)

Calculator

(b) 3 693

(c)

2 868

Rate Your Choice ✓ Boiling!

(d)

844

(e)

5 555

(f)

4 488

480

Teac he r

Freezing!

(b)

65 87 49 58

Estimate

(c)

21 82 53 32

(a)

(b)

w ww

524 56 289 + 431

–

76 49

2 619 382 + 74

. te

5. Round to the nearest ten. (a)

Estimate

587 6 829 492

o (b) 92 (c) 58 c . – 2 7 – – 2 2 che e r o t r s super

Estimate

–

(c)

m . u

59 31 47 28

Estimate

–

6. Round to the nearest hundred. Estimate

(a) –

794 239

Estimate

(b) –

–

324 119

Estimate

–

882 523

–

Divide this shape into three parts which are exactly the same.

• 44 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3—Estimate answers through the use of rounding techniques.

(a)

Estimate

ew i ev Pr

Estimate by rounding to give an approximate answer. Check by working out the sums. 3. Round to the nearest ten.

(j) 21 ÷ 3 =

(e) 7 x 5 =

9 10

(i) 5 ÷ 5 =

(d) 4 x 9 =

(h) 12 ÷ 3 =

(g) 36 ÷ 4 =

(b) 6 x 2 =

(f) 12 ÷ 4 =

(a) 7 x 0 =

1. Solve these.

Your Score ✓ 1

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Rate Your Choice ✓ Boiling!

606

808

(b) 4

505

(a) 5

Freezing!

(f) 4 8 0 4

(e) 4 4 0 8

(d) 3 9 0 6

Calculator

. a.m.

a.m.

p.m.

12 hr 24 hr

(f)

12 hr 24 hr

(e)

12 hr 24 hr

Teac he r

(d)

12 hr 24 hr

m . u

(c)

12 hr 24 hr

(b)

o c . che e r o t r s super

2. Choose a form of calculation to complete some or all of the following calculations.

Written

12 hr 24 hr

. te

Mental

(a)

12 hr 24 hr

(g)

3. Show the time on the clock face in 12-hour and 24-hour time to the nearest minute.

a.m.

p.m.

(i)

12 hr 24 hr

(h)

r o e t s Bo r e p ok u S

ew i ev Pr

w ww

M3.2—Read and write 12- and 24-hour times.

a.m.

p.m.

a.m.

UNIT 15–3

New Wave Maths for WA Book E • 45 •

UNIT 16–1 Your Score ✓ 1

1. Solve these.

(a) 1 x 4 =

(b) 3 x 4 =

(d) 7 x 3 =

(e) 7 x 6 =

(f) 15 ÷ 3 =

(g) 8 ÷ 2 =

(h) 50 ÷ 5 =

(i) 40 ÷ 4 =

(j) 4 ÷ 2 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

243 123 + 412

Calculator

(b)

(c)

156 321 + 421

(d)

314 272 + 301

(e)

203 460 + 121

(f)

236 141 + 422

Freezing!

Truncating – This is when numbers are cut off to their left-most digit; e.g. 436 becomes 400 and 387 becomes 300.

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S

423 351 + 122

3. Truncate these numbers to their left-most digit, then work out the approximate answer.

(b)

52 x 7

(c)

78 x 4

(e) 529 x 8 (f)

(g)

(h)

27 x 42 36 x 32 54 x 62

37 x 6

(j) l 28a © R . I . C . P u b i c t i ons x = x 9 x = •f orr evi ew pu(k) r p362 osesonl y• x

x 5 (l)

w ww

(d) 687 x 4

(i)

x . te x

244 x 7

(m) 765 x 5

o c . che= x e r o t r s supe r (o) 53 =

(n)

(p) x

83 x 38

x 26

43 x 38

Compare the processes of approximation—truncation or rounding?

• 46 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3—Estimate answers through the use of rounding techniques.

46 x 3

m . u

(a)

(i) 12 ÷ 2 =

(j) 18 ÷ 6 =

(e) 4 x 3 =

9 10

(d) 9 x 4 =

(h) 25 ÷ 5 =

(g) 42 ÷ 6 =

(b) 6 x 1 =

(f) 21 ÷ 7 =

(a) 5 x 3 =

1. Solve these.

R.I.C. Publications www.ricgroup.com.au

Rate Your Choice ✓ Boiling!

405 256 + 138

149 606 + 238

(b)

(c)

327 215 + 346

(a)

(f)

(e)

(d)

436 215 + 134

514 213 + 248

247 214 + 235

Calculator

Freezing!

m . u

o c . che e r o t r s super

2. Choose a form of calculation to complete some or all of the following calculations.

Written

Sort the letters according to the following categories—line symmetry, rotational symmetry, both or none and record in the Venn diagram.

. te

Mental

3. Investigate UPPER-CASE letters of the alphabet.

w ww

Your Score ✓ 1

No symmetry

Teac he r

Rotational symmetry

r o e t s Bo r e p ok u S

ew i ev Pr

S3.3, C&D3.3—Observe the symmetry of the letters of the alphabet and record on the Venn diagram.

UNIT 16–2

New Wave Maths for WA Book E • 47 •

UNIT 16–3 Your Score ✓ 1

1. Solve these

(a) 4 x 8 =

(b) 3 x 9 =

(d) 8 x 6 =

(e) 5 x 9 =

(f) 28 ÷ 4 =

(g) 45 ÷ 9 =

(h) 72 ÷ 8 =

(i) 63 ÷ 7 =

(j) 54 ÷ 9 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

231 480 + 124

Calculator

(b)

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S

182 573 + 193

(c)

246 231 + 252

(d)

Freezing!

232 467 + 240

(e)

162 394 + 153

(f)

274 162 + 453

ew i ev Pr

Teac he r

(a)

Written

3. Complete these sequences. If you can see a simple way to find the answer, use it. (a) 69 – 4 – 4 – 4 – 4 – 4 =

(d) 43 + 8 + 8 + 8 + 8 + 8 =

(b) 57 + 6 + 6 + 6 + 6 + 6 =

(e) 50 + 9 + 9 + 9 + 9 + 9 =

(f) 38 – 5 – 5 – 5 – 5 – 5 =

4. You start with $2.00.You travel for three days to school and then home on the bus. Each of the six trips costs 20c.

(b) Explain how you found the answer.

w ww

m . u

(a) How much money do you have left?

to join these dots.

(b) Explain how you found the answer.

• 48 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.4—Complete sequences to solve arithmetic problems.

. tto find how much money you have o 5. Use the same methode c . left after four days of bus travel to and from school if each c e r trip costs 50c and you start withh $10. Without your pencil off the er o t s page, usetaking super three straight lines only

UNIT 17–1 Your Score ✓ 1

1. Use >, < or = to make these true. (a) 209

211

(e) 2 x 100 (i) 4009

100 + 2 4900

(b) 5099

(f) 479

480

(j) 2 x 50

3x3x3 528 cm

(d) 3 x 1000 (h) 700

3000 10 x 70

50 + 50

2. Choose a form of calculation to complete some or all of the following calculations. Mental

702 – 387

r o e t s Bo r e p ok u S

Calculator

(b)

806 – 569

Rate Your Choice ✓ Boiling!

(c)

605 – 376

(d)

405 – 287

(e)

Freezing!

905 – 389

(f)

605 – 277

ew i ev Pr

Teac he r

(a)

Written

3. Write the shape that will be made when these things are cut in a cross-section as shown below.

(a)

(d)

(g)

. te

(c)

(h)

m . u

(e)

w ww

S3.4, S3.2—Visualise and name the 2-D shapes created by cross-section cuts as shown.

(b)

o c . che (f) (i) e r o t r s super

Complete this magic square.

6 7

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5 New Wave Maths for WA Book E • 49 •

UNIT 17–2 1. Write these as … 24-hour time.

Your Score ✓ 1

(a) 11.30 a.m. =

(b) 4.15 p.m. =

(d) 6.54 a.m. =

(e) 12.00 noon =

… 12-hour time. (f) 1500 =

(g) 2320 =

(i) 1054 =

(h) 0215 =

r o e t s Bo r e p ok u S (j) 1942 =

2. Choose a form of calculation to complete some or all of the following calculations. (b)

800 – 475

Rate Your Choice ✓ Boiling!

(c)

900 – 382

(d)

600 – 487

(e)

500 – 325

Freezing!

3. Use Eratosthenes’ Sieve to complete the following tasks. (a) Cross number 1 – this is neither prime nor composite.

(f)

500 – 276

ew i ev Pr

600 – 327

Calculator

Teac he r

(a)

Written

13 a 14 © R. I . C.Publ i c t i on15s 16 17 19 20 21 22 23 (b) Colour 2, 3, 5 and 7 red – these are prime numbers. •f orr evi ew pur p25ose nl y 26so 27 28 •29

18 24 30

(d) Draw a red vertical line through all multiples of 3.

m . u

w ww

55 56 57 58 . te 61 62 63 o64 (f) Mark multiples of 7 with a yellow . 67 68 69c 70 c e diagonal. her r 73 t 74 75 76 o s super The numbers not marked 79 80 81 82

(e) Mark multiples of 5 with a green diagonal.

(and 2, 3, 5 and 7) are prime numbers.

4. List the prime numbers here.

Which pair of prime numbers when added together equal the next prime number?

+ • 50 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.2, N3.4—Use the grid to locate and list prime numbers.

Mental

UNIT 17–3 Your Score ✓ 1

1. Write as … cents. (a) $40.00

(b) $6.57

(d) $27.27

(e) $10.90

(h) 3647c

(i) 2002c

(j) 98c

… dollars and cents. (f) 14c

(g) 684c

2. Choose a form of calculation to complete some or all of the following calculations. Written

r o e t s Bo r e p ok u S

Calculator

(b) 6 8 4 9 –2 3 1 6

Rate Your Choice ✓ Boiling!

1 2 3 4 5

6 7 8 9 10 11 12

13 14 15 16 17 18 19

20 21 22 23 24 25 26

1 2 3 4 5 6

(d) 7 3 0 6 –2 4 8 7

27 28 29 30 31 1 2

3 4 5 6 7 8 9

10 11 12 13 14 15 16

17 18 19 20 21 22 23

24 25 26 27 28

31 3 4 5 6 7 1 8 2 9

10 11 12 13 14 15 16

17 18 19 20 21 22 23

24 25 26 27 28 29 30

1 2 3 4 5 6

(f)

7 8 9 10 11 12 13

14 15 16 17 18 19 20

21 22 23 24 25 26 27

9372 – 4811

7 8 9 10 11 12 13

14 15 16 17 18 19 20

June

May

21 28 22 29 23 30 24 25 26 27

1 2 3 4

5 6 7 8 9 10 11

12 13 14 15 16 17 18

19 20 21 22 23 24 25

30 2 3 4 5 6 7 1 8

26 27 28 29 30 31

4 5 6 7 1 8 2 9 3 10

11 12 13 14 15 16 17

18 19 20 21 22 23 24

25 26 27 28 29 30 31

1 2 3 4 5 6 7

8 9 10 11 12 13 14

15 16 17 18 19 20 21

22 29 23 30 24 25 26 27 28

November

October

September

August

1 2 3 4 5

w ww

3. Use the calendar to answer these questions.

(a) What day does your birthday fall on in this calendar?

6 7 8 9 10 11 12

13 14 15 16 17 18 19

20 21 22 23 24 25 26

27 28 29 30 31

1 2

3 4 5 6 7 8 9

10 11 12 13 14 15 16

17 18 19 20 21 22 23

(ii) three days after your birthday?

24 25 26 27 28 29 30

Date of birth:

. tebirthday fall on next year? (c) What day will your o c . che e (d) What is the date: r o t r s uper (i) five days before your birthday? s (b) What day would your birthday have fallen on last year?

M3.2—Use a standard calendar to locate and calculate particular days.

(e) 6 0 0 4 –3 9 4 8

April

March

February

July

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

5327 – 2869

Freezing!

January

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

(c)

ew i ev Pr

Teac he r

(a) 8 4 3 2 –2 7 1 4

(iv) two weeks before Christmas Day?

8 9 10 11 12 13 14

16 17 18 19 20 21 22

15 16 17 18 19 20 21

23 24 25 26 27 28 29

22 29 23 30 24 31 25 26 27 28

Mark Ella Mark Ella is still regarded as one of the greatest rugby players of all time.

Rugby Heroes of of Australia Australia

February Sunday

(iii) one week after Anzac Day?

1 2 3 4 5 6 7

9 10 11 12 13 14 15

December

m . u

Mental

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

10 11

12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

(e) Which months on this calendar have five Sundays?

(f) How many days are there: (i) in one year? R.I.C. Publications www.ricgroup.com.au

(ii) in a leap year? New Wave Maths for WA Book E • 51 •

UNIT 18–1 1.

16 x 4, I can see …

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(b) 430 x 2 =

(a) 230 x 3 = (d) 130 x 3 =

r o e t s Bo r e p ok u S (e) 220 x 4 =

Rate Your Choice ✓ Boiling!

Freezing!

(a) Find the difference between 2438 and 1215 (b) Find the difference between 1347 and 4588 (c) Find the difference between 3425 and 5648

ew i ev Pr

Teac he r

3. Complete the following activities. Use your own method.

4. Subtract the following pairs of numbers.

. te

(q) 60 – 43 =

(j) 60 – 23 =

(r) 20 – 16 =

(k) 90 – 88 =

(s) 80 – 52 =

o c (m) 80 – 77 = (u) . 90 – 61 che e r o (n) r 50s – 41 = t s (v) 70 – 34 uper

(h) 10 – 5 =

(l) 70 – 52 =

(t) 30 – 18 =

= =

(o) 80 – 65 =

(w) 50 – 29

(p) 70 – 34 =

(x) 40 – 13

A tetromino is made by joining four squares so that joins are made only by full edge on full edge; for example, not How many tetrominos can you find? Draw them here, or on a separate sheet of paper (1-cm grid). • 52 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3—Use own methods to solve subtraction problems.

w ww

(b) 50 – 4 =

(i) 70 – 49 =

m . u

(a) 20 – 6 =

UNIT 18–2 Your Score ✓ 1

1. Add these.

(a) 300 + 5 =

(b) 500 + 8 =

(d) 600 + 7 =

(e) 400 + 1 =

(f) 900 + 6 =

(g) 100 + 9 =

(h) 700 + 3 =

(i) 200 + 2 =

(j) 400 + 4 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a) 303 x 2 = (d) 102 x 4 = Rate Your Choice ✓ Boiling!

(b) 203 x 3 =

(e) 101 x 5 =

(f) 404 x 2 =

r o e t s Bo r e p ok u S Freezing!

Teac he r

3. Use the table below.

Letter

Frequency Total

Letter

Frequency Total

ew i ev Pr

(a) Show the frequency with which the initial letter of each student’s surname in your class occurs.

(b) Which initial letter is the most common?

(a) Rank the doubles teams from one (the team most likely to win) to fourth (the team least likely to win).

. te

(b) Explain your ranking.

Seed

m . u

w ww

C&D3.1, C&D3.2, C&D3.3—Collect, record and summarise data. Rank events from most to least likely.

4. Select eight classmates to take part in a doubles tennis tournament.

Playing Pair

o c . che 2 e r o t r s super 3 1

4 Show how you reached your answer. Which letter of the alphabet occurs most frequently on a page in your library or reading book? R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 53 •

UNIT 18–3 Your Score ✓ 1

1. Add these.

(a) 520 + 3 =

(b) 380 + 6 =

(d) 670 + 9 =

(e) 580 + 1 =

(f) 910 + 6 =

(g) 650 + 7 =

(h) 240 + 2 =

(i) 190 + 4 =

(j) 860 + 3 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a) 200 x 2 = (d) 300 x 3 = Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S (b) 400 x 2 =

(e) 200 x 3 =

(f) 100 x 6 =

Teac he r

Freezing!

ew i ev Pr

3. Write all the factor pairs for these numbers. (a) 20

(b) 24

4. Write the factor pairs for the products below. x

(b) 30 =

(a) 10 =

©R I . C. ub i cat ons = . x P =l xi = x •numbers f orwhich r ev i e w pu r posesonl y• Write the prime make the products below. (b) 18 =

m . u

(a) 16 =

=9 . te (b) 4 + 4 + 4 + =

(a) 3 + 3 +

= x

= 10 –

o c x4 (h) 7 – =6x . ch e r er o t s super (i) x =2x3x

=2x8

= x (e) 5 x (There are two possible answers.) (f) 4 x (2 +

(g) 6 +

) = 12

• 54 • New Wave Maths for WA Book E

N3.2, N3.3—Complete number sentences as required.

w ww

6. Find the missing numbers. Each symbol represents the same number in each sum.

What is the least number of colours you can use to colour this shape?

No neighbouring shapes can be of the same colour. R.I.C. Publications www.ricgroup.com.au

(j) 901 + 8 =

(e) 308 + 1 =

9 10

(i) 203 + 5 =

(d) 904 + 4 =

(h) 708 + 1 =

(g) 407 + 2 =

(b) 506 + 3 =

(f) 602 + 6 =

(a) 802 + 5 =

1. Add these.

Your Score ✓ 1

R.I.C. Publications www.ricgroup.com.au

643 216 + 820

Rate Your Choice ✓ Boiling!

(c)

(f)

(e)

(b)

524 503 + 571

(d)

(a) 7 3 2 915 +641

Written

824 731 + 614

831 414 + 444

952 314 + 722

Calculator

Freezing!

Teac he r

Number of squares in drawing =

m . When you have completed your drawing, find out how many squares there are in the picture. u HINT: The squares are not all the same size.

o c . che e r o t r s super

2. Choose a form of calculation to complete some or all of the following calculations. 4. On a separate sheet of paper, reduce the completed drawing to make it 1:2 (half the dimensions) of its original size.

. te

Mental

3. Complete this drawing to make a symmetrical shape. Colour the design.

r o e t s Bo r e p ok u S

ew i ev Pr

w ww

S3.3—Complete a symmetrical drawing.

UNIT 19–1

New Wave Maths for WA Book E • 55 •

UNIT 19–2 Your Score ✓ 1

1. Add these.

(a) 600 + 7 =

(b) 301 + 4 =

(d) 300 + 6 =

(e)720 + 5 =

(f) 402 + 5 =

(g) 480 + 2 =

(h) 630 + 9 =

(i) 507 + 2 =

(j) 700 + 4 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

Calculator

469 154 + 283

(b)

(c)

123 278 + 341

(d)

394 286 + 279

243 129 + 281

r o e t s Bo r e p ok u S

(f)

263 158 + 474

Freezing!

3. Write the fraction of the whole which is shaded in the diagrams below.

(d) (b) R © . I . C.Pu(c) bl i cat i ons 5.r Answer thee following Find the answers these •tof o rproblems. r evi ew pu p os soquestions. nl y•

(a)

(a) What is the largest whole number you can write using three different digits?

(b) 9999 + 1 =

w ww

. te

(d) 999 999 + 1 =

(b) What is the largest whole number you can write using five different digits?

o c . (c) What is thee smallest whole number you che r can write ousing four different digits? r st super Show how you can be fourth and

(e) 9 999 999 + 1 =

second-last in a line.

• 56 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.1b, N3.1a—Read and write whole numbers and fractions.

(a) 999 + 1 =

m . u

(e)

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

287 379 + 246

9 10

(f) 7 6 4 3 5

(g) 2 8 0 7

(h) 9 2 5

(i) 1 1 1 1

(j) 1 6 5 8 2

(a) 8 2 7

(b) 6 2 4 3 8

(d) 7 2 5

(e) 8 2 4

1. Circle the number in the hundreds place.

R.I.C. Publications www.ricgroup.com.au

Written

(f)

(e)

(d)

728 714 + 637

629 407 + 308

829 137 + 426

Calculator

Freezing!

What is the difference m(d) between closest .and furthestthe points? u

and

(b) Which two points are furthest apart?

and

(a) Which two points are closest together?

Yes

Is this path traversable?

Rate Your Choice ✓ Boiling!

609 546 + 239

538 912 + 908

(b)

(c)

827 416 + 729

(a)

Mental

Shortest

4. Use the network to answer these questions.

o c . che e r o t r s super

2. Choose a form of calculation to complete some or all of the following calculations.

Tallest

Teac he r Name

D A

75 km 70

119 km

Height

3. Use a paper streamer to measure your height. Order your streamer with three other students’ measurements. Check each streamer with a measuring tape. Measure in centimetres or metres.

76 km

. te 35

ew i ev Pr

r o e t s Bo r e p ok u S 47

w ww

Your Score ✓ 1

M3.2, N3.3—Use a uniform unit of length to measure and order height. Add and subtract whole numbers.

UNIT 19–3

New Wave Maths for WA Book E • 57 •

UNIT 20–1 Your Score ✓ 1

1. Round these numbers to the nearest ten.

(a) 263 =

(b) 516 =

(d) 392 =

(e) 466 =

(f) 708 =

(g) 494 =

(h) 239 =

(i) 588 =

(j) 173 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a) 7 2 5 6 – 209

Calculator

r o e t s Bo r e p ok u S

(b) 6 5 2 4 – 397

Rate Your Choice ✓ Boiling!

(c)

5006 – 2779

(d) 8 1 0 6 – 79

(e) 7 0 0 0 – 698

(f)

8537 – 276

Teac he r

Freezing!

ew i ev Pr

3. Investigate the following mathematical properties of multiplication and addition.

When two odd numbers are added together, you get an even number, but when two odd numbers are multiplied together you get an odd number. If multiplication is repeated addition, why does this occur? List examples to help you. Addition

Multiplication

Explanation

o c . che e r o t r s super

How many different ways can you find to place the numbers 1 – 6 in the circles so that each line of three has the same total? • 58 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.2, N3.3—Understand that multiplication and addition are interrelated.

w ww

. te

m . u

e.g. 3 + 3 = 6 (even)

UNIT 20–2 Your Score ✓ 1

1. Complete these number sentences. (a) 6 x 2 =

(b) 5 x 5 = 20 +

(e) 3 x 3 x 3 =

(f)

(i) 3 x

(j) 21 + 4 = 5 x

x2=4x3

+ 8 + 4 = 6 + 4 + 8 (g)

(d) 81 =

= 15 + 4

9 10

(h) 2 x

+ 5 = 15

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

r o e t s Bo r e p ok u S

(b) 6 0 9 4 –5 8 9 7

Rate Your Choice ✓ Boiling!

(c)

3068 – 2794

(d) 8 7 9 6 –2 5 4 3

(e) 8 6 0 0 – 947

Freezing!

3. Rochelle and Taylor were given 18 Easter eggs between them.They were given seven to share and Rochelle was given six for herself. Use the Venn diagram to work out how many Easter eggs Taylor was given for herself.

Rochelle

(f)

8000 – 487

ew i ev Pr

Teac he r

(a) 4 0 2 0 –2 8 7 4

Calculator

Taylor

w ww Brett

C&D3.3, N3.3—Use Venn diagrams to organise and classify data.

. te

Coleen

m . u

4. Brett and Coleen bought nine cassettes together. Brett bought three for himself. Between them they have 19 cassettes in their collection. Use the Venn diagram to work out how many cassettes Coleen bought for herself.

o c . che e r o t r s super

Coleen bought cassettes for herself.

A ship’s ladder hangs over the side of the ship 30 cm above the water. The rungs of the ladder are 20 cm apart. How much of the ladder will be below the water if the tide rises 1 metre? R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 59 •

UNIT 20–3 Your Score ✓ 1

1. Multiply these.

(a) 2 x 100 =

(b) 8 x 100 =

(d) 9 x 100 =

(e) 4 x 100 =

(f) 3 x 100 =

(g) 7 x 100 =

(h) 5 x 100 =

(i) 1 x 100 =

(j) 2 x 200 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

6.4L – 2.7L

Calculator

r o e t s Bo r e p ok u S

(b) 5 . 2 m –3.8m

Rate Your Choice ✓ Boiling!

(d) 8 . 3 km –2 . 6 km

(e) 4 . 6 kg – 2 . 8 kg

(f) 8 . 2 mm – 5 . 7 mm

ew i ev Pr

Teac he r

Freezing!

3. Use the diagrams provided to help work out these sums.

Bob

(a) Bob and Brett shared their chocolate bars with Coleen. Bob gave Coleen 2/5 and Brett gave Coleen 2/5.

Brett

How much of a chocolate bar did Coleen receive?

Draw the amount of chocolate Coleen received.

w ww

m . u

(b) Anne and Clare each bought a pizza. Anne gave Eve 3/6 of hers and Clare gave Eve 1/6 of hers. How much of a pizza did Eve receive?

. te

o c . (c) Kelly and Michelle each had ten marbles. ch e r e o t r s / r ofs her marbles and Michelle gave Zoe / Kelly gave Zoee u p her marbles. 2

Draw the number of marbles Zoe received.

• 60 • New Wave Maths for WA Book E

If a pen and an eraser costs $2.10, and the pen costs $2.00 more than the eraser, what does the eraser cost?

R.I.C. Publications www.ricgroup.com.au

N3.3—Add fractions with like denominators.

How many marbles did Zoe receive?

(h) 39 – 8 =

(i) 87 – 2 =

(j) 65 – 3 =

(d) 66 + 3 =

(e) 81 + 5 =

(g) 78 – 5 =

(b) 54 + 2 =

(f) 64 – 3 =

(a) 42 + 3 =

1. Solve these.

Your Score ✓ 1

9 10

R.I.C. Publications www.ricgroup.com.au

Written

Draw a large rectangle with two small triangles inside.

Rate Your Choice ✓ Boiling!

(f) 207 x 3 =

(e) 206 x 3 =

(d) 309 x 3 =

(b) 408 x 2 =

(a) 103 x 5 =

Mental

o c . che e r o t r s super

Calculator

Freezing!

m . u

. te

2. Choose a form of calculation to complete some or all of the following calculations.

Teac he r

3. Complete these diagrams to make symmetrical patterns.

r o e t s Bo r e p ok u S

ew i ev Pr

w ww

S3.3—Completes symmetrical patterns.

UNIT 21–1

New Wave Maths for WA Book E • 61 •

UNIT 21–2 Your Score ✓ 1

1. Solve these.

(a) 92 + 4 =

(b) 43 + 3 =

(d) 54 + 3 =

(e) 65 + 2 =

(f) 36 – 5 =

(g) 47 – 3 =

(h) 69 – 8 =

(i) 54 – 1 =

(j) 85 – 4 =

9 10

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a) 64 x 10 = (d) 42 x 20 = Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S (b) 33 x 20 =

(e) 69 x 10 =

(f) 23 x 20 =

3. Estimate and list areas in your environment to complete the table below.

the same as 1 m2

more than 1 m2

w ww

. te

holds the same as 1 L

holds more than 1 L

o c weighs less than 1 kg weighs the same as 1 kg. weighs more than 1 kg che e r o t r s super

5. Estimate and list items to complete the table below.

Using only the number 6 and the signs +, –, x and/or ÷, make the number 60.

• 62 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

M3.3—Estimate and compare regions, containers and objects for area, capacity and mass.

holds less than 1 L

m . u

less than 1 m2

ew i ev Pr

Teac he r

Freezing!

UNIT 21–3 Your Score ✓ 1

9 10

1. Solve these (a) 75 + 3 =

(b) 81 + 6 =

(d) 64 + 5 =

(e) 78 + 1 =

(f) 99 – 7 =

(g) 28 – 4 =

(h) 16 – 6 =

(i) 38 – 5 =

(j) 48 – 3 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

38 20

Calculator

(b)

r o e t s Bo r e p ok u S

Rate Your Choice ✓ Boiling!

19 40

(c)

28 30

(d)

18 30

(e)

26 20

(f) x

29 30

Freezing!

3. Estimate before measuring each time. Find the perimeter of these shapes.

ew i ev Pr

Teac he r

Written

Estimate

Perimeter

(a)

(b)

(c)

(a)

(f)

(e)

(g)

Circle the shapes with the longest perimeter.

. te

M3.4a—Estimate and measure the perimeter of irregular shapes.

m . u

w ww

(d)

(f)

4. Use grid or dot paper. Make shapes of 12 squares to find which shape has the longest perimeter. Number each shape you make.

o c . che e r o t r s super The shape with the (g)

longest perimeter is .

Using any or all of shapes that you drew, can you say whether the longest perimeter surrounds the greatest area if you are using a given number of squares? Explain your answer.

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 63 •

UNIT 22–1 Your Score ✓ 1

1. Solve these.

(a) 94 + 3 =

(b) 66 + 2 =

(d) 48 + 1 =

(e) 56 + 3 =

(f) 96 – 2 =

(g) 59 – 7 =

(h) 78 – 5 =

(i) 19 – 6 =

(j) 26 – 4 =

9 10

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

874 962 + 812

Calculator

(b)

(c)

620 349 + 280

(d)

382 975 + 221

G H

Your Message

26 25 24 23 22 21 20 19 I

M N O

18 17 16 15 14 13 12 11 Q

10 9 Y

664 783 + 612

(f)

844 734 + 961

Freezing!

3. Make up your own simple message using this number-letter code.

(e)

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S

596 481 + 932

V W X

. te

G H

o c . che e r o t r s super

M N O

Your Message

V W X

• 64 • New Wave Maths for WA Book E

Use the numbers 1 – 9 in the circles. Each line totals 15. N3.4—Use a number-letter code to write a message.

m . u

w ww

4. Make your own number-letter code and use it to write a message to a friend. See if your friend can break the code.

R.I.C. Publications www.ricgroup.com.au

UNIT 22–2 Your Score ✓ 1

1. Complete these patterns. (a) III = III =

(b) * * • • * * •

(c)

(e) 2, 3, 4, 6, 6, 9,

(f) 1, 2, 2, 4, 3, 6,

(g) 3, 4, 6, 8, 9,

(i)

9 10

(d) A Z B Y (h) 5, 10, 10, 20, 15,

(j)

2. Choose a form of calculation to complete some or all of the following calculations. Mental

r o e t s Bo r e p ok u S Calculator

824 173 + 657

(b)

693 482 + 917

Rate Your Choice ✓ Boiling!

(c)

259 371 + 564

(d)

312 395 + 746

Freezing!

3. Find the ages of your class members in years and months.

(a) The range of ages in my class is from:

(e)

806 473 + 482

(f)

546 817 + 395

ew i ev Pr

Teac he r

(a)

Written

months to

years

months.

(b) What is the most common birth month in your class?

2 3 4

C&D3.4, C&D3.2—Collect, tally and summarise data.

5 6

w ww

. te

m . u

4. Complete the tree diagram to show how pairings for a tennis tournament with eight competitors works from start to finish.

o c . che e r o t r s super

7 8

What is the greatest possible range of birth dates in one year?

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 65 •

UNIT 22–3 1. Use >, < or = to make these statements true. (a) 872

870 + 9

(b) 1.25 kg

2.375 km (g) $6.07

(f) 2375 m

125 g (c) 75c 617c (h) 50 + 6

Your Score ✓ 1

$0.75

(d) 8007

7 + 48 (i) 362c

899

(e) 0.6 L

0.2L

$3.60

(j) 2849

2799

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a) 76 + 2 = (d) 3 + 56 =

(e) 82 + 4 =

(f) 3 + 26 =

Freezing!

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S (b) 58 + 1 =

3. Write the total value of each digit of the numbers given in its correct place on the place value chart.

Number

(a)

785 964

(b)

59 318

(c)

146 825

10 000

1000

100

700 000

80 000

5000

900

(f)

4. Partition these numbers to make a number sentence.

w ww

For example, 347 = 300 + 40 + 7.

(a) 172 = (b) 281 = (c) 419 = (d) 603 =

. te

(g) 807 =

o c . (i) 313 = che e r o t r (j) 444 = s super (h) 990 =

(e) 320 =

(k) 557 =

(f) 1089 =

(l) 718 =

Would you rather work for seven days at $20 per day or be paid $2 for your first day and have your salary double each day for the rest of the week?

• 66 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.1a—Read, write and partition numbers into hundreds and thousands.

(e)

100 000

m . u

(d)

Place Value

UNIT 23–1 Your Score ✓ 1

1. Write as … dollars and cents. (a) 627c

(b) 500c

(d) 469c

(e) 520c

(g) $2.91

(h) $5.06

(i) $10.00

(j) $3.52

… cents. (f) $7.00

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

r o e t s Bo r e p ok u S Calculator

(b) 2 622

(c)

4 884

3 963

(e)

5 550

(f)

3 633

3 696

Freezing!

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

(d)

3. Complete the diagram by making a symmetrical shape on the grid below. Use the broken line in this drawing as the line of symmetry. Enlarge the finished shape to 2:1 onto 1-cm grid paper.

w ww

m . u

4. Draw three shapes of your own choosing and mark in any lines of symmetry you can find.

S3.3—Complete and draw symmetrical pictures.

(a)

. te

(b)

(c)

o c . che e r o t r s super

Use the number 2 and signs +, –, x and ÷ to make the numbers 21, 17 and 32.

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 67 •

UNIT 23–2 Your Score ✓ 1

1. Solve these. (a) 3 x 8 =

(b) 8 x 5 =

(d) 2 x 4 =

(e) 7 x 9 =

(f) 4 ÷ 2 =

(g) 9 ÷ 3 =

(h) 6 ÷ 3 =

(i) 8 ÷ 2 =

(j) 8 ÷ 4 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

Calculator

(b) 10 7 6 0

r o e t s Bo r e p ok u S (c)

Rate Your Choice ✓ Boiling!

740

(d)

690

(e)

380

(f) 920

10 8 4 0

Freezing!

(a) 238 and 283 =

pieces of wood

(d) 1259 and 2159 =

(b) 329 and 381 =

pieces of wood

(e) 37 and 370 =

pieces of wood

4. Order the ice-cream brands below from the least expensive to the most expensive.

w ww

5. Order these cars from the least expensive to the most expensive.

. te

Least expensive

o c . che e r o t r s su er $68 000 p $40 000

Most expensive

$5000 When deciding which whole number is the greatest, what is the most important thing to look at?

$12 000

• 68 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.1a—Read and display whole numbers and money into the thousands.

Least expensive

m . u

$5.70

ew i ev Pr

Teac he r

3. Represent each of the number pairs below with Base 10 MAB.

UNIT 23–3 Your Score ✓ 1

9 10

1. Solve these. (a) 6 x 3 =

(b) 9 x 6 =

(d) 7 x 7 =

(e) 2 x 2 =

(f) 18 ÷ 6 =

(g) 24 ÷ 3 =

(h) 18 ÷ 7 =

(i) 28 ÷ 4 =

(j) 15 ÷ 5 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a)

(b) 20 4 0 0

r o e t s Bo r e p ok u S (c)

40 8 0 0

Teac he r

Rate Your Choice ✓ Boiling!

(d)

30 9 0 0

(e)

20 8 0 0

(f)

30 3 0 0

30 6 0 0

Freezing!

ew i ev Pr

3. Use this pentomino to make a continuous tessellating pattern on the grid.

A starting point is given.

w ww M3.1—Use a pentomino to compare a tessellating design.

. te

m . u

Alternate the colours of the pentominoes to make the pattern easier to see.

o c . che e r o t r s super

How many different pentomino shapes can you find? (A pentomino shape is made using five squares that are joined by at least one full side to another square or squares.)

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 69 •

(g) 49 ÷ 7 =

(h) 36 ÷ 6 =

(i) 64 ÷ 8 =

(j) 16 ÷ 4 =

(d) 3 x 3 =

(e) 5 x 5 =

(b) 4 x 4 =

(f) 81 ÷ 9 =

(a) 8 x 8 =

1. Solve these.

9 10

• 70 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

$6 . 8 7 – $2 . 4 3

$4 . 8 7 – $1 . 4 3

$7 . 6 5 – $4 . 4 1

S3.1—Draw a plan of the classroom to scale.

(f)

(e)

(d)

Calculator

Freezing!

m . u

o c . che e r o t r s super

Rate Your Choice ✓ Boiling!

$6 . 3 6 – $2 . 1 5

$8 . 9 6 – $3 . 6 4

(b)

(c)

$5 . 4 6 – $3 . 1 4

Written

(a)

Mental

. te

2. Choose a form of calculation to complete some or all of the following calculations.

Teac he r

3. Your teacher is planning to rearrange the furniture in your classroom. In the space below, draw the floorplan you think would work best for your class.

r o e t s Bo r e p ok u S

ew i ev Pr

w ww

Your Score ✓ 1

Use four square tiles to make a shape with a perimeter of 12 units. (Shapes may meet edge to edge or corner to corner.)

UNIT 24–1

UNIT 24–2 Your Score ✓ 1

1. Solve these.

(a) 8 x 7 =

(b) 2 x 3 =

(d) 6 x 9 =

(e) 7 x 5 =

(f) 72 ÷ 8 =

(g) 54 ÷ 6 =

(h) 63 ÷ 9 =

(i) 56 ÷ 7 =

(j) 48 ÷ 8 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

Calculator

785 – 505

(b)

Teac he r

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S

684 – 404

(c)

767 – 207

(d)

978 – 608

(e)

594 – 304

(f)

656 – 206

Freezing!

Tally

Total

Food Type

Soup

Breakfast

Food Type

Total

Main

m . u

. te

Dessert

Dinner

Lunch

Tally

w ww

o c . che e r o t r s super

4. Write an outline of your menu here. DAY 1

Breakfast

DAY 2

DAY 3

Lunch

Dinner

C&D3.2, C&D3.3—Record frequency data in a table to help devise a menu.

ew i ev Pr

3. Carry out a survey of students’ favourite main meals. The objective of the survey is to present a menu for a threeday school camp to your teacher.

Soup Main Dessert

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 71 •

UNIT 24–3 1. Today’s number is … 25

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

324 – 109

Calculator

(b)

r o e t s Bo r e p ok u S

738 – 309

Rate Your Choice ✓ Boiling!

(c)

683 – 407

(d)

965 – 508

846 – 308

(f)

542 – 207

ew i ev Pr

Teac he r

Freezing!

3. Read and write these numbers.

(a) one hundred and seventy-two

(f) seventy thousand and five

(b) sixty-six hundred

(g) three hundred and sixty-two

(h) two hundred thousand

(d) three thousand and sixty

(i) ninety-eight

(c)

49 x 6 78 x 4

(d) 687 x 4 (e) 529 x 8 (f)

(g)

w ww

(b)

56 x 3

(h) 362 x 5 (i)

. tex

244 x 7

o c . che e r o x =r t s super (j)

32 x 5

81 x 3

• 72 • New Wave Maths for WA Book E

765 x 5

Use all seven tangram pieces to make one large triangle.

R.I.C. Publications www.ricgroup.com.au

N3.1a, N3.3—Read and write numbers into the thousands. Estimate sums and products by rounding.

(a)

m . u

(e) six hundred and fifteen 4.

(e)

r o e t s Bo r e p ok u S

ew i ev Pr

Teac he r

UNIT 25–1

1. Reading the time from a clock or watch doesn’t just involve reading numbers. Use the photo above to help you describe some of the different ways we read time.

. te

m . u

w ww

WM3.1, WM3.2, M3.2—Pose, ask and contribute mathematical questions prompted by a specific stimulus.

This is a sundial. It is believed that the Egyptians were using sundials (or obelisks) to tell the time in about 300BC, making them the earliest built clock. Describe how you think a sundial works.

o c . che e r o t r s super

How accurate do you think sundials would be? Explain your answer.

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 73 •

UNIT 25–2 Your Score ✓ 1

1. Round to the nearest 100.

(a) 3725 =

(b) 6047 =

(d) 596 =

(e) 74 862 =

(f) 69 710 =

(g) 204 =

(h) 650 =

(i) 8949 =

(j) 2006 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a) 75 x 40 = (d) 74 x 80 = Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S (b) 86 x 80 =

(e) 69 x 70 =

(f) 69 x 50 =

Teac he r

Freezing!

Example:

7 x 39 = (7 x 30) + (7 x 9) = 273 or = (7 x 40) – (7 x 1) = 273

(a) 8 x 54 = ( or

)+(

)–(

ew i ev Pr

3. Use expanded forms to complete these mental activities. Discuss with others the method you find more efficient.

)+(

)–(

(d) 5 x 67 = (

)+(

)–(

w ww

(e) 6 x 86 = ( or

(f) 4 x 97 = ( or

(g) 8 x 68 = ( or

. )–( x )= te x o c x x ) =. che) + ( e r o) = x )s –( xs t r uper x

)+(

)–(

What is the least number of colours you can use to colour this shape ensuring that the same colour is not in the space beside itself?

• 74 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3—Use partitioning to multiply whole numbers.

m . u

©x R. I . C). Publ i cat i o ns –( x )= orr vi ew ur p ses) o l y• (c) 9 x 46 =• ( f xe ) + (p xo = n (b) 6 x 73 = (

UNIT 25–3 Your Score ✓ 1

1. Solve these.

(a) 700 + 9 =

(b) 300 + 6 =

(d) 200 + 2 =

(e) 500 + 7 =

(f) 70 – 3 =

(g) 80 – 6 =

(h) 30 – 4 =

(i) 40 – 7 =

(j) 90 – 2 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a) 40 x 20 = (d) 80 x 70 = Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S (b) 40 x 60 =

(e) 60 x 60 =

(f) 70 x 50 =

Teac he r

Freezing!

Mine

Friend 1

ew i ev Pr

3. Measure the distance from your nose to the end of your outstretched right arm.The arm is to be held at shoulder height out from your side with fingers extended. Record your measurement and that of four friends on the table below.

Friend 2

Friend 3

Length

Friend 4

4. Measure your arm span and record it on the table below. Measure your height and record it on the table below. Record the measurement of the arm span and height of four of your friends on the table as well.

w ww

Height

. te

(a) Is the child with the greatest arm span the tallest?

o c . chebetween arm span and height?r e (c) What is the greatest difference o t r s s r u e p (d) What is the least difference between arm span and height? (b) Is the child with the smallest arm span the shortest?

M3.2—Use measuring tools to measure body parts and combine lengths.

Yes

m . u

Arm Span

Yes

(e) Check your findings with other groups to see if they have found similar results.

Is the measurement of arm span a reasonable indicator of a person’s height? Yes

Give sound reasons for your decision.

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 75 •

UNIT 26–1 Your Score ✓ 1

1. Solve these. (a) 100 + 15 =

(b) 900 + 24 =

(d) 700 + 86 =

(e) 400 + 47 =

(f) 60 – 9 =

(g) 90 – 6 =

(h) 10 – 5 =

(i) 40 – 8 =

(j) 20 – 2 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

r o e t s Bo r e p ok u S Calculator

64 3 21

(b)

21 3 5

(c)

Rate Your Choice ✓ Boiling!

73 2 24

(d)

2 43 3

Freezing!

3. Look at these shapes.Will each of them tile? Explain.

(a)

(e)

51 5 32

(f) +

53 42 4

ew i ev Pr

Teac he r

Written

(c)

Won't tile

. te

Will tile

m . u

Will tile

w ww

(b)

Will tile

(d)

o c . che e r o t r s super Will tile

Won't tile

Which is larger

• 76 • New Wave Maths for WA Book E

Prove your answer—explain how you reached your conclusion.

R.I.C. Publications www.ricgroup.com.au

S3.3—Look at a shape and decide whether or not it will tile. Support answers with an explanation.

UNIT 26–2 Your Score ✓ 1

1. Solve these. (a) 500 + 5 =

(b) 200 + 39 =

(d) 200 + 7 =

(e) 800 + 62 =

(f) 90 – 20 =

(g) 20 – 10 =

(h) 40 – 30 =

(i) 70 – 50 =

(j) 50 – 30 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

r o e t s Bo r e p ok u S Calculator

432 51 + 214

(b)

322 1 + 43

Rate Your Choice ✓ Boiling!

(c)

7 630 + 42

(d)

53 214 + 520

(e)

Freezing!

3. Read each statement. Decide whether it is likely to happen or not likely to happen.

(a) Your hair will turn pink on Friday.

Likely

(b) Fish will fall from the sky.

Likely

324 4 + 150

(f)

14 321 + 3

ew i ev Pr

Teac he r

(a)

Written

Not likely Not likely

w ww

(f) A dinosaur will come to your next birthday party.

. te

C&D3.1—Describe and order events according to the likelihood of them happening.

4. Order these events from most likely to least likely.

Likely

Not likely

m . u

Likely

(e) It will rain during winter.

Not likely

most likely

o c . (b) Your teacher will dye c his/her hair purple. e her r o t (c) You will eat tomorrow. s super (a) You will finish your homework today.

(d) You will be taken to school on a yacht. (e) You will visit aliens in space. (f) It will rain on the weekend.

least likely

Make a list of events you would like to happen. Order them from most to least likely and explain why you chose to order them that way. R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 77 •

UNIT 26–3 Your Score ✓ 1

1. Solve these. (a) 100 + 20 =

(b) 400 + 50 =

(d) 300 + 90 =

(e) 600 + 70 =

(f) 60 – 15 =

(g) 40 – 15 =

(h) 80 – 15 =

(i) 70 – 15 =

(j) 50 – 15 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

r o e t s Bo r e p ok u S

Calculator

(a) 69 + 7 = (d) 59 + 8 =

(e) 76 + 6 =

(f) 7 + 46 =

Freezing!

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

(b) 8 + 73 =

3. Shade the diagrams below as directed.

(a) Shade 3/5, use a different colour to shade another 1/5.

(f) Shade 3/8, use a different colour to shade another 5/8.

© R. I . C.Pub l i cat i ons (b) Shade / , use a different colour to (g) Shade / , use a different colour to shade another /r . r another /n . l •f o evi ew pur pshade ose so y• How many fifths are shaded? 3

How many eighths are shaded? 2

How many tenths are shaded?

w ww

How many sevenths are shaded?

m . u

(h) Shade 2/8, use a different colour to shade another 4/8.

. te o c How many quarters are shaded? How many eighths are shaded? . c e her r (d) Shade / , use a different colour to o t s super shade another / . 1

Show how you can divide this block of chocolate so that three people will each receive the same amount.

How many tenths are shaded? (e) Shade 3/6, use a different colour to shade another 2/6.

How many sixths are shaded? • 78 • New Wave Maths for WA Book E

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N3.1b—Read and write fractional notation.

(g) 827 g

(h) 4936 g

(i) 1200 g

(j) 2745 g

(b) 2.076 kg

(d) 0.06 kg

(e) 4.275 kg

7 8 9 10

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7.65m – 3.47m

4.82m – 2.35m

(b)

(c)

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7.63m – 1.49m

Written

(a)

Mental

(f)

(e)

(d)

Freezing!

5.94m – 2.56m

6.54m – 2.18m

8.53m – 2.27m

4. Find the perimeter of each shape.

5. Find the area of each shape.

(b) Area of enlarged shape =

(a) Area of original =

1 square represents 1 cm (not to scale)

Teac he r

m (a) Perimeter of original = .(b) Perimeter of enlarged shape = u

o c . che e r o t r s super

Calculator

3. Enlarge the shape shown so it is twice the dimensions of the original shape.

. te

2. Choose a form of calculation to complete some or all of the following calculations.

(f) 68 g

(a) 4.8 kg

… kilograms.

1. Write as … grams.

cm2

Investigate your findings on the effect that doubling the size has on perimeter and area to see if this is true in all cases.

r o e t s Bo r e p ok u S cm

ew i ev Pr

w ww

Your Score ✓ 1

M3.1, M3.2, M3.4a—Enlarge a shape and compare perimeter and area of the new and original shapes.

UNIT 27–1

New Wave Maths for WA Book E • 79 •

UNIT 27–2 Your Score ✓ 1

1. Write as … litres. (a) 7248 mL

(b) 4097 mL

(d) 6275 mL

(h) 5.493 L

(i) 1.69 L

9 10

(e)1006 mL

… millilitres. (f) 8.2 L

(g) 6 L

(j) 2.538 L

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

r o e t s Bo r e p ok u S

(b) $3 8 . 6 4 – $3 1 . 4 9

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(c)

$4 5 . 7 3 – $4 2 . 1 6

(a) 1/2

(b) 5/6

(d) 9/10

(e) 4/5

(f) 3/12

$2 8 . 9 5 (e) $6 7 . 5 6 (f) $4 7 . 8 2 – $2 3 . 6 8 – $6 3 . 1 7 –$4 3 . 2 8

Freezing!

3. Write these fractions in order from smallest to largest.

(d)

/4 /6 /8

ew i ev Pr

Teac he r

(a) $1 3 . 7 4 – $1 1 . 3 7

Calculator

Draw this model as you would see it if you were directly over the top, in front or on one end.

©/ R. I . C.Publ i cat i ons = o r v ew pur posesonl y• / •f / r / e =i /10

/12

FRONT

w ww

4. Write these fractions as numbers.

(a) one-third

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(d) seven-tenths

(a) 2/4

•

TOP o c . che e r o t r s super • three-fourths

(b) 6/8

•

• three-fifths

(b) three-fourths (c) five-eighths

(e) four-fifths (f) one-half

5. Match the equivalent fractions in words.

• five-sixths

(d) 10/12 •

• one-half

(e) 6/10 •

• one-fourth

(f) 2/8

• two-fifths

•

• 80 • New Wave Maths for WA Book E

END

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N3.1b—Order, read and write fractions. Match fraction equivalents.

m . u

/10

UNIT 27–3 Your Score ✓ 1

1. Write as … cents. (a) $43.00

(b) $38.00

(d) $18.40

(e) $20.90

(h) 4780c

(i) 6910c

(j) 2470c

9 10

… dollars. (f) 6000c

(g) 8000c

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

r o e t s Bo r e p ok u S

(b) $7 . 6 0 –$4 . 3 7

Rate Your Choice ✓ Boiling!

(d) $9 . 5 0 –$6 . 2 8

(e) $8 . 4 0 –$3 . 2 6

(f) $8 . 7 0 –$2 . 5 9

Freezing!

ew i ev Pr

Teac he r

(a) $4 . 7 0 –$1 . 4 5

Calculator

3. Work with cubes to complete these.

(a) What is the volume of this cube?

(d) Triple the dimensions of the original cube. Use 2-cm cubes to build a triple dimension model. What is the volume of this new model?

(b) Double the dimensions of the cube. Use 2-cm cubes to build a double dimension model. What is the volume of this new model?

w ww M3.2—Build models according to directions and compare volume.

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m . u

o c . che e r o t r s super

Decode the following message.

J uijol nbuit jt bxftpnf.

(f) Quadruple the dimensions of the original cube. Use 2-cm cubes to build a quadruple dimension model. What is the volume of this new model?

(g) From the information you have to date, what would be the volume of a model with dimensions five times the original model? Build the model and record its volume. estimate:

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actual: New Wave Maths for WA Book E • 81 •

UNIT 28–1 1. 15 x 6, I can see …

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a) 31 x 12 = (d) 52 x 11 = Rate Your Choice ✓ Boiling!

(e) 22 x 22 =

(f) 21 x 33 =

Teac he r

Freezing!

Use partitioning to add these pairs of numbers.

(a) 24 + 35 = (

30 ) + ( 4

50 +

9 =

(b) 83 + 98 = (

)+(

(d) 48 + 93 = (

)+(

130 –

7 = =

= = =

©+ R. I . Pu l i ca i on+s = )C + (. +b ) =t Use rounding• to add these. (We round for u thisr type addition.) f o rr ealways vi e wupp pofo sesonl y•

(e) 35 + 42 = (

(a) 58 + 65 = (

(b) 62 + 17 = (

w ww

70 ) – ( 2

)–(

–

)–(

–

. – te + ) – ( + ) = o c . che e r o t r s super +

)–(

123

m . u

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r o e t s Bo r e p ok u S (b) 42 x 21=

–

= = =

(a) 13 + 82 = (b) 69 + 74 = (c) 22 + 64 =

Use the number 3 and the signs +, –, x and ÷ to make the numbers 19 and 37.

• 82 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3—Partition and round numbers to solve addition problems.

5. Use your chosen technique to add these.

UNIT 28–2 Your Score ✓ 1

1. Solve these.

(a) 3 x 80 =

(b) 8 x 50 =

(d) 2 x 40 =

(e) 7 x 90 =

(f) 32 ÷ 4 =

(g) 48 ÷ 8 =

(h) 24 ÷ 3 =

(i) 35 ÷ 7 =

(j) 18 ÷ 6 =

9 10

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a) 25 x 16 = (d) 35 x 15 = Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S (b) 64 x 17 =

(e) 43 x 18 =

(f) 28 x 19 =

Teac he r

Freezing!

Times Thrown

Tally

13+ 12 11

Number of Times Thrown

Total of Throw

10 9

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3. Keep a tally of the total of 36 throws of two dice. Record these results on the graph.

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5 4 3 2 1

m . u

w ww

C&D3.1, C&D3.2, C&D3.3, C&D3.4—Use chance events to record and analyse data.

o c . che e r o t r s super

Total of Two Dice

4. Explain how your results differ from those of your friends.

When throwing two dice explain why the total of seven should be the most frequent to occur.

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 83 •

UNIT 28–3 Your Score ✓ 1

1. Solve these.

(a) 6 x 30 =

(b) 9 x 60 =

(d) 7 x 70 =

(e) 20 x 2 =

(f) 64 ÷ 8 =

(g) 21 ÷ 3 =

(h) 15 ÷ 5 =

(i) 30 ÷ 6 =

(j) 42 ÷ 7 =

9 10

2. Choose a form of calculation to complete some or all of the following calculations. Written

(a)

Calculator

38 61

r o e t s Bo r e p ok u S

(b)

Rate Your Choice ✓ Boiling!

24 82

(c)

62 43

(d)

52 62

Teac he r

(d) 1/6

(f) 5/8

/10

1 1/ 2 1/ 3

w ww

(e) 3/9

43 72

. te / 7

1/ 4

/10

1/ 6

1/ 7

o c . che e r o t r s super / / 1

1/ 5

m . u

(f)

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(b) 5/8

81 32

Freezing!

3. Use this diagram to order the groups of fractions from largest to smallest.

(a) 1/6

(e)

1/ 8 1/ 9 1/ 10

4. Colour all the fractions equivalent to 1/2 blue.

(g) 4/9

5. Colour all the fractions equivalent to 1/3 green. 6. Colour all the fractions equivalent to 2/5 yellow.

Are you able to trace over this diagram without lifting your pencil and without drawing over any line more than once? Yes

• 84 • New Wave Maths for WA Book E

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N3.1b—Read, write and order fractions to show fraction equivalences.

Mental

(h) 27 ÷ 9 =

(i) 32 ÷ 4 =

(j) 40 ÷ 8 =

(d) 30 x 3 =

(e) 50 x 5 =

(g) 49 ÷ 7 =

(b) 40 x 4 =

(f) 54 ÷ 6 =

(a) 80 x 8 =

1. Solve these.

9 10

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62 3 71

57 4 29

3 86 29

Written

(f)

(e)

(d)

47 69 3

67 4 87

87 8 9

Calculator

Freezing!

pentagon

Teac he r

equilateral triangle

m What .did you find out? u

o c . che e r o t r s super

Rate Your Choice ✓ Boiling!

(c)

(b)

(a)

Mental

. te

2. Choose a form of calculation to complete some or all of the following calculations.

square

3. Use the shapes given and the space below to prove or disprove the above statement. You may also wish to try other regular shapes.

‘All regular shapes tessellate.’

r o e t s Bo r e p ok u S

ew i ev Pr

w ww

Your Score ✓ 1

S3.2, M3.2—Use 2-D regular shapes to show those that tessellate and those that do not.

hexagon

UNIT 29–1

New Wave Maths for WA Book E • 85 •

UNIT 29–2 Your Score ✓ 1

1. Solve these. (a) 60 x 6 =

(b) 80 x 7 =

(d) 40 x 8 =

(e) 60 x 9 =

(f) 56 ÷ 8 =

(g) 72 ÷ 9 =

(h) 36 ÷ 6 =

(i) 45 ÷ 9 =

(j) 24 ÷ 8 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

47 392 + 74

Calculator

(b)

r o e t s Bo r e p ok u S

6 497 + 62

Rate Your Choice ✓ Boiling!

(c)

76 591 + 843

Freezing!

3. Complete the following activities.

(d)

6 847 + 629

(e)

817 4 + 697

(f)

4 296 + 81

ew i ev Pr

Teac he r

(a)

Written

(a) How much more is $2.24 than $1.35? $2.24 – $1.35 = $0.89

(h) $3.52 is how much larger than $2.16?

(b) How much more is $4.36 than $2.17?

(i) $2.63 is how much larger than $1.42?

(d) How much greater is $3.65 than $1.23?

(k) $1.49 is how much larger than $1.23?

(e) How much greater is $2.43 than $1.25?

(l) $2.94 is how much larger than $1.71?

larger than $1.73? 4. Subtract these.

(a)

(b)

$3 . 6 2 – $2 . 1 4

(c)

$4 . 9 8 – $1 . 3 6

(d)

(m) $3.14 is how much larger than $1.11?

o c . che e r o t r s super

$2 . 7 2 – $0 . 3 6

(n) $4.37 is how much larger than $2.23?

Use six coins to make 50c.

N3.3—Subtract money.

w ww

. te (g) $2.45 is how much (f) How much greater is $3.34 than $2.16?

m . u

$5 . 1 2 – $3 . 6 1

• 86 • New Wave Maths for WA Book E

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UNIT 29–3 Your Score ✓ 1

1. Circle the digit in the tens place.

(a) 6 5 8 4

(b) 6 9

(d) 8 0

(e) 5 9 2

(f) 4 6 3 9

(g) 1 8 6 5 2

(h) 4 2 9 4

(i) 8 0 5

(j) 3 9 7

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

6875 + 2049

Calculator

(b)

Rate Your Choice ✓ Boiling!

3591 + 9216

(c)

8761 + 52

(d) 6 2 1 9 47 + 683

(e)

2143 2 + 5410

r o e t s Bo r e p ok u S

(f)

4273 + 1958

3. Use beads to measure the capacity of four containers. Draw the containers below.

Container 1

Container 2

Container 3

ew i ev Pr

Teac he r

Freezing!

Container 4

Number of beads

w ww

4. Use the information collected above to answer these questions.

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(a) Which container held the least number of beads?

o c . (c) What is the differencec between the capacity of the two containers? e h r e o t r – = s super (b) Which container held the most number of beads?

M3.2—Use an arbitrary unit to compare the capacity of various containers.

Number of beads

m . u

Number of beads

(d) Write the containers in order from least to most capacity.

5. Repeat the activity using cups of sand. Are your results the same? No

How many tens make one thousand?

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New Wave Maths for WA Book E • 87 •

Yes

Explain.

UNIT 30–1 Your Score ✓ 1

1. Round these numbers to the nearest ten.

(a) 6275 =

(b) 8439 =

(d) 1084 =

(e) 7215 =

(f) 6877 =

(g) 5381 =

(h) 4299 =

(i) 514 =

(j) 728 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

423 – 192

Calculator

(b)

(c)

535 – 292

(d)

826 – 473

(e)

748 – 356

(f)

652 – 236

Freezing!

3. Find the answers to these sums.

(a)

$1 . 8 5 + $1 . 4 2

(d)

$4 . 7 0 + $1 . 7 5

(g)

$5 . 4 7 + $2 . 9 9

(b)

$2 . 7 6 + $3 . 5 8

(e)

$3 . 2 6 + $2 . 9 0

(h)

$7 . 7 5 + $2 . 1 0

(c)

$1 . 9 9 + $2 . 6 5

(f)

$4 . 3 5 + $2 . 8 6

(i)

$6 . 3 4 + $3 . 5 8

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S 646 – 374

(j)

$3 . 8 0 + $2 . 7 0

(k)

$2 . 4 6 + $3 . 5 3

(l)

$5 . 1 5 + $3 . 4 9

w ww

m . u

. te o c (b) $3.30 + $2.90 + $4.10 + $1.25 = . che e r 1. Brett is not the (c) $6.45 + $2.00 + $0.75 + $3.85 = o t r s super shortest.

4. Now add these.

(a) $5.05 + $3.20 + $1.15 + $0.50 =

Bob, Coleen, Rochelle and Brett are of different heights in the same family. Place them in order from shortest to tallest.

shortest

(d) $5.60 + $1.95 + $3.65 + $4.80 =

2. Coleen is taller than Rochelle and Brett but shorter than Bob. 3. Bob is not shorter than Brett. 4. Brett is shorter than two other family members.

• 88 • New Wave Maths for WA Book E

tallest

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N3.3—Add money.

(e) $2.55 + $4.05 + $1.50 + $6.30 =

UNIT 30–2 Your Score ✓ 1

1. Complete these number sentences so they are true. (a) 8 x

=4x4

(f) 5 x 8 = 4 x

(b) 2 x 6 x (g)

= 24 (c) 5 x 5 x 2 =

=2x2x2

(h) 6 x

(d) 6 x 1 x 4 =

= 10 + 2 (i) 9 =

x 3 (e) 7 x 3 =

(j) 40 = 2 x 5 x

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

r o e t s Bo r e p ok u S Calculator

5 . 6 8 km (b) 7 . 6 4 L (c) 8.56m – 2 . 7 9 km – 3.78L – 6.67m

6 . 4 3 kg – 2 . 5 6 kg

(e)

8 . 3 6 m (f) 8 . 2 5 L – 2.79m –4.68L

Freezing!

ew i ev Pr

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(d)

3. Use ten two-colour counters; for example, one side red, the other side blue. Put the counters in a cup.Turn the cup upside down and count the sides displaying red and the sides displaying blue. Record the totals. Repeat the experiment ten times. Total in each turn

Colour

(b)

m . u

Total number of colours shown

w ww

C&D3.1, C&D3.2, C&D3.3, C&D3.4—Record and interpret frequency data in two-way tables and graphs.

7 6

. te

5 4 3 2 1

b 1

o c . che e r o t r s super

b 9

b 10

Number of Turns 4. Summarise your findings.

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New Wave Maths for WA Book E • 89 •

(g) 47 – 3 =

(h) 69 – 8 =

(i) 54 – 1 =

(j) 85 – 4 =

(d) 600 + 83 =

(e) 100 + 91 =

(b) 700 + 73 =

(f) 36 – 5 =

(a) 300 + 82 =

1. Solve these.

• 90 • New Wave Maths for WA Book E

$6 . 0 0 – $3 . 5 7

$7 . 0 0 – $4 . 5 3

(b)

(c)

(f)

(e)

(d)

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$5 . 0 0 – $3 . 5 6

$4 . 0 0 – $2 . 7 6

$8 . 0 0 – $5 . 3 9

Calculator

Freezing!

S3.4—Name an object based on spatial features used in a description.

How many times do you need to multiply 10 by itself to make one million?

Rate Your Choice ✓ Boiling!

$8 . 0 0 – $3 . 9 8

(a)

Written

I am a

I have one edge.

I have one vertices.

(a) I have two faces.

I am a

I have 12 edges.

I have eight vertices.

(d) I have six faces.

I am a

I have two edges.

I have no vertices.

4. Use the shapes above to solve these ‘What am I?’ questions.

m (b) I have eight faces. . I have 12 vertices. uI have 18 edges.

o c . che e r o t r s super

2. Choose a form of calculation to complete some or all of the following calculations.

Teac he r

3. Look at the 3-dimensional shapes. Write the name for each.

. te

Mental

9 10

r o e t s Bo r e p ok u S

ew i ev Pr

w ww

Your Score ✓ 1

UNIT 30–3

(i) 19 – 6 =

(j) 26 – 4 =

(d) 800 + 65 =

(e) 500 + 47 =

8 9 10

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80 4 8 0

40 2 4 0

60 4 8 0

Written

(f)

(e)

(d)

Remove one tile, keeping the perimeter the same.

Rate Your Choice ✓ Boiling!

(c)

(b)

(a)

Mental

50 3 5 0

70 4 9 0

90 5 4 0

Freezing!

m . u

o c . che e r o t r s super

Calculator

Teac he r

3. Draw a plan of your house and block showing the relative size and position of each of the main features. If you live on a farm, draw a plan of your farm showing fence lines and other main features.

. te

2. Choose a form of calculation to complete some or all of the following calculations.

(h) 78 – 5 =

(g) 59 – 7 =

(b) 200 + 34 =

(f) 96 – 2 =

Your Score ✓ 1

(a) 400 + 58 =

1. Solve these.

ew i ev Pr

w ww

S3.1—Draw a plan, keeping in mind the relative size of items on the drawing.

UNIT 31–1

r o e t s Bo r e p ok u S

New Wave Maths for WA Book E • 91 •

UNIT 31–2 Your Score ✓ 1

1. Solve these. (a) 500 + 20 =

(b) 200 + 60 =

(d) 100 + 50 =

(e) 400 + 30 =

(f) 56 – 20 =

(g) 84 – 50 =

(h) 92 – 70 =

(i) 36 – 10 =

(j) 53 – 40 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

r o e t s Bo r e p ok u S Calculator

(b) 80 8 5 0

(c)

80 9 6 0

Rate Your Choice ✓ Boiling!

(d)

30 7 5 0

(e)

60 8 4 0

(f)

40 7 6 0

70 9 8 0

Teac he r

Freezing!

ew i ev Pr

3. Use the 10 by 10 grid to show 3 lots of 0.30 by colouring blue and 2 lots of 0.20 by outlining in red. Hint: the entire grid is equal to one whole.

How much does each picture show?

4. Use this information to solve these.

(b) 0.3 x 2 =

w ww

m . u

. te o c (d) 0 . 3 (g) 0 . 3 (i) 0 . 3 . c e x 6 h x 6 x 7r er t so super

5. Complete these multiplication problems.

(a) 0 . 2 x 2

How many triangles are there in this shape?

(e) 0 . 2 x 9

(f) 0 . 3 x 9

• 92 • New Wave Maths for WA Book E

(h) 0 . 2 x 7

(j) 0 . 2 x 6

N3.1a—Calculate and read decimal numbers.

(b) 0 . 2 x 8

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UNIT 31–3 Your Score ✓ 1

1. Solve these. (a) 600 + 80 =

(b) 500 + 70 =

(d) 600 + 40 =

(e) 700 + 60 =

(f) 71 – 20 =

(g) 62 – 30 =

(h) 84 – 60 =

(i) 35 – 10 =

(j) 56 – 20 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

r o e t s Bo r e p ok u S Calculator

(b) 20 6 4 0

(c)

40 8 4 0

Rate Your Choice ✓ Boiling!

(d)

30 6 6 0

(e)

20 8 4 0

(f)

30 9 6 0

40 4 4 0

Teac he r

Freezing!

ew i ev Pr

3. Measure the length of the middle finger of the left hand and the length of the left shoe of each member of your class. Record these results, to the nearest centimetre, on a separate sheet of paper. Answer the questions below about your class member’s finger and shoe lengths.

My shoe length:

My finger length:

(a) Who has the shortest shoe?

(f) Who has the longest finger?

(b) How long is it?

(g) How long is it?

(h) l Who hast the shortest © R. I . C.Pub i ca i o nsfinger? How iss it? o (d) How long it? •isf orr evi ew pu(i)r p olong se nl y• (c) Who has the longest shoe?

(j) The range of finger lengths is from

(e) The range of shoe lengths is from

m . u

w ww

M3.2, N3.3, N3.1a—Measure, using consistent units, record and order data. Add numbers each less than 10.

4. Arrange ten of the finger lengths and shoe lengths from shortest to longest.

Finger: Shoe:

. te

o c . c 3h (c) 6 (d) 7e (e) r er o9 5 5 t s s r u e p 9 6 5

5. Rearrange these numbers to make it easier to add.

(a)

2 6 8 7 +4

(b)

7 +5

3 +2

7 +1

3 4 5 6 +3

You need to measure exactly 1 cup of water.You only have two jugs. One jug holds 5 cups, the other holds 3 cups. How can you use these containers to measure 1 cup of water exactly?

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New Wave Maths for WA Book E • 93 •

UNIT 32–1 Your Score ✓ 1

1. Solve these. (a) 500 + 35 =

(b) 300 + 48 =

(d) 200 + 93 =

(e) 200 + 42 =

(f) 84 – 10 =

(g) 35 – 20 =

(h) 78 – 50 =

(i) 52 – 30 =

(j) 97 – 70 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

r o e t s Bo r e p ok u S Calculator

67 58

(b)

Rate Your Choice ✓ Boiling!

76 84

(c)

93 58

(d)

72 46

(e)

85 39

(f) x

67 58

Freezing!

3. Use the price list from your school canteen to solve these.

(a) How much change would you receive from $5.00 if you bought: $5. 0 0

1 piece of fruit:

–

1 drink:

ew i ev Pr

Teac he r

Written

1 lunch item:

(b) Name and write the least number of coins you need to buy:

w ww

1 drink

1 lunch item

. te

1 morning tea item 1 treat 1 piece of fruit

Coins needed

o c . che e r o t r s super

(c) Order the cost of available drinks at your school canteen from least to most expensive. Write the name of each drink and its cost.

Using your school canteen price list, work out the most expensive and least expensive lunch you could possibly have. Each combination must have 1 piece of fruit, 1 drink and 1 lunch item. • 94 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.1a, N3.3—Read, write and calculate amounts of money.

Cost

m . u

Item

UNIT 32–2 Your Score ✓ 1

1. Complete these patterns. (a) /// \\\ ///

(b)

(c)

(f) 1, 6, 11, 16,

(g) 86, 80, 74, 68,

(d) (h) 30, 5, 25, 10, 20,

(e) (i)1, 3, 6, 10, 15,

(j) 5, 12, 19, 26,

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a) 30 x 14 = (d) 90 x 15 =

(e) 60 x 14 =

(f) 50 x 17 =

Freezing!

You will need two ten-sided dice (each marked 0 – 9) to complete this activity. 3. Complete the table on the right. This table shows all of the possible totals that can be made by throwing two ten-sided dice together and adding the numbers thrown.

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S (b) 30 x 18 =

9 8 7

(a) List all the possible numbers that can be made from throwing two ten-sided dice together.

w ww

(b) Which total do you think is most likely to occur?

C&D3.1, C&D3.2—Record data, interpret and justify results of chance events.

Explain why.

. te

m . u

3 4

2 1

5 o6 c . che e r o t r s super 0

From the table above how many times would you expect a total of 2 to occur

Explain why. Explain your reasoning.

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New Wave Maths for WA Book E • 95 •

UNIT 32–3 Your Score ✓ 1

1. Write as … centimetres. (a) 5.27 m

(b) 6.00 m

(d) 2.89 m

(e) 0.47 m

… metres. (f) 2768 cm

(g) 36 cm

(h) 800 cm

(i) 420 cm

(j) 8746 cm

2. Choose a form of calculation to complete some or all of the following calculations. Mental

60 64

(b)

Rate Your Choice ✓ Boiling!

80 39

(c)

50 89

(d)

Pattern

100, 99, 97, 94

(b)

13, 15, 17, 19

(e)

40 67

(f) x

70 58

Freezing!

3. Look at the number patterns. Write the rule and finish the pattern.

(a)

70 87

Rule

ew i ev Pr

Teac he r

r o e t s Bo r e p ok u S Calculator

Next three digits

w ww Table

0x6 = 1x6 =

0 . 6t e

2x6 =

3x6 =

4x6 =

5x6 =

6x6 =

7x6 =

8x6 =

9x6 =

10 x 6 =

(a)

m . u

4. Now look at these tables.

What do you notice about the highlighted numbers?

o c . (b) Which of these numbers do you think would be divisible by 6? ch e r Circle. er o st super 353 425 624 848

• 96 • New Wave Maths for WA Book E

Explain how you know.

What two numbers made up of the same digits reversed, differ by 54?

R.I.C. Publications www.ricgroup.com.au

N3.4—Recognise, record and complete number patterns involving operations.

(a)

Written

(g) $0.92 =

(h) $6.00 =

(i) $8.40 =

(j) $27.64 =

(b) 756c =

(d) 4700c =

(e) 6827c =

(f) $4.28 =

(a) 82c =

… cents.

1. Write as … dollars.

9 10

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Rate Your Choice ✓ Boiling!

(f)

742 65 817 4 67

(e) 6 1 4 7 2439 6150 + 2218

(b) 3 1 4 7 28 694 +8 1 7 5

(d) 6 5 9 4 37 + 859

Calculator

817 69 +7 2 6 5

(a)

Written

Freezing!

m . u

o c . che e r o t r s super

2. Choose a form of calculation to complete some or all of the following calculations.

(b) Draw your findings in the space below.

. te

Mental

(a) Verify that there are only four possible ways of putting this pattern on a square tile.

Teac he r

3. Use the pattern to answer these.

r o e t s Bo r e p ok u S

ew i ev Pr

Your Score ✓ 1

w ww

S3.3—Prove or disprove the statement by finding repetition in a pattern.

UNIT 33–1

New Wave Maths for WA Book E • 97 •

UNIT 33–2 Your Score ✓ 1

1. Solve these. (a) 2 x 100 =

(b) 8 x 100 =

(d) 9 x 100 =

(e) 3 x 100 =

(f) 600 ÷ 6 =

(g) 800 ÷ 8 =

(h) 300 ÷ 3 =

(i) 500 ÷ 5 =

(j) 700 ÷ 7 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

r o e t s Bo r e p ok u S Calculator

(b)

516 275 834 269 + 418

Rate Your Choice ✓ Boiling!

(c)

653 724 816 527

Freezing!

3. Estimate to give an approximate answer to these.

(a) A school bus trip over four days involved travelling distances of 286 km, 411 km, 174 km and 357 km. Approximately how far did the bus travel?

(d) 7 9 2 4 386 7242 + 37

(e) 8 4 3 7 24 + 697

(f)

473 862 417 + 396

ew i ev Pr

472 693 281 549 + 327

Teac he r

(a)

Written

(d) A horse in a show jumping contest recorded the following times in three faultless rounds; 46 sec., 48 sec. and 43 sec. What is the approximate total time the horse took to complete the three rounds?

(e) The following numbers of students from five schools attended a concert; 359, 236, 403, 639 and 287. Approximately how many students attended the concert?

o c . che e r o t r s super

(b) In a five-day test match, crowds of 2384, 6927, 4815, 1423 and 2815 attended. Approximately how many people attended the match over the five days? people

students

How many surfaces are there for this construction?

Approximately how much did the babysitter earn? $

• 98 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.2, N3.3—Read and calculate whole numbers in word problems.

w ww

. te

m . u

seconds

UNIT 33–3 Your Score ✓ 1

1. Solve these. (a) 3 x 800 =

(b) 8 x 500 =

(d) 2 x 400 =

(e) 7 x 900 =

(f) 400 ÷ 2 =

(g) 900 ÷ 3 =

(h) 600 ÷ 3 =

(i) 800 ÷ 2 =

(j) 800 ÷ 4 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

r o e t s Bo r e p ok u S Calculator

1 . 8 4 L (b) 3.93L 2.50L + 6.39L +

5 . 9 2 cm (c) 4 . 3 7 cm 4 . 8 3 cm 6 . 5 1 cm +

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$2 . 9 3 (d) $9 . 1 0 $7 . 7 6 $6 . 4 1 +

6 . 2 0 m (e) 3 . 4 7 m (f) 8.76m 8.26m 4.18m 3.41m 1.45m +7.25m +

5 . 3 6 kg 7 . 2 4 kg 2 . 8 7 kg 4 . 3 9 kg

ew i ev Pr

Teac he r

(a)

Written

Freezing!

3. Use your ruler to measure the perimeter of each of these shapes to the nearest centimetre. Use 1-cm tiles to find the area of each shape. Record your findings in the shapes.

(a)

(b)

w ww

M3.2, M3.4a—Use uniform units to measure and order perimeter and area of polygons.

cm2

(c)

. tecm

(e)

(d)

cm 2

m . u

o c .P = che P = cm r e o A= t r cms Au = s per 2

cm cm2

4. Order these shapes from least to most according to:

(a) Perimeter:

(b) Area:

R.I.C. Publications www.ricgroup.com.au

A ladder hangs over the side of a ship moored to a buoy.The ladder is 1 metre above the water surface. The tide comes in, rising 5 metres. Where is the bottom of the ladder now compared with the surface of the water?

New Wave Maths for WA Book E • 99 •

UNIT 34–1 Your Score ✓ 1

1. Solve these. (a) 6 x 300 =

(b) 9 x 600 =

(d) 7 x 700 =

(e) 200 x 2 =

(f) 180 ÷ 6 =

(g) 240 ÷ 3 =

(h) 140 ÷ 7 =

(i) 280 ÷ 4 =

(j) 150 ÷ 5 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

r o e t s Bo r e p ok u S Calculator

Rate Your Choice ✓ Boiling!

Freezing!

3. Complete these. Example: 43 x 7 = (40 + 3) x 7 = (40 x 7) + (3 x 7) = 301

ew i ev Pr

Teac he r

(a) $1 7 . 0 0 (b) $1 8 . 0 0 (c) $1 4 . 0 0 (d) $1 9 . 0 0 (e) $1 5 . 0 0 (f) $1 6 . 0 0 – $1 4 . 0 8 –$1 2 . 0 6 – $1 2 . 0 2 – $1 5 . 0 7 – $1 3 . 0 8 – $1 3 . 0 2

(a) 35 x 3 = ( 30

)x 3

= ( 30

)+( 5

(b) 27 x 8 = (

+ 7

x 8

)+(

x 8

©R . I . C=. Pu bl i cat i o ns )x ( x )+( x )= • o+rr e ew u p es n y• (e) 84 x 6 = ( f )v x i =( p x r )o + (s x o ) =l +

(d) 32 x 4 = (

(f) 75 x 8 = ( (g) 53 x 5 = (

w ww

(h) 96 x 7 = ( (i) 62 x 9 = (

= ( 40

)+(

x 7

)+(

+ . te

m . u

)= )=

o c . (a) Five boys shared 210 c marbles. e hr r o How many did each receive?e t s super (b) Dad had $120 to share among his four daughters. How much did each receive? (c) Jade put $80 evenly into four separate bank accounts. How much did she put in each account? (d) 120 tickets were distributed among six people to sell. How many did each have to sell?

• 100 • New Wave Maths for WA Book E

How many different ways can you draw a single line through the calendar month of January so that the line begins at the first day of the month and finishes at the last day of the month and passes through each day once only? Use coloured pencils and do not enter undated or blank cells.

6 13 20 27

JANUARY 1 2 3 4 7 8 9 10 11 14 15 16 17 18 21 22 23 24 25 28 29 30 31

5 12 19 26

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N3.2, N3.3—Partition two-digit numbers to assist with multiplying.

4. Solve these problems.

UNIT 34–2 Your Score ✓ 1

1. Solve these. (a) 800 x 8 =

(b) 400 x 4 =

(d) 300 x 3 =

(e) 500 x 5 =

(f) 160 ÷ 8 =

(g) 450 ÷ 9 =

(h) 350 ÷ 5 =

(i) 180 ÷ 3 =

(j) 280 ÷ 4 =

9 10

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

r o e t s Bo r e p ok u S Calculator

Rate Your Choice ✓ Boiling!

(c)

8.49L – 3.25L

(d)

6 . 5 3 m (e) 7 . 6 4 kg (f) 6 . 7 5 kg – 3.21m – 2 . 4 3 kg – 2 . 2 2 kg

Freezing!

3. Use a six-sided die to find the probability of rolling a given number. For example, to roll a 4 = 1 chance in 6 = 1/6

(a) What is the probability of rolling a 6? (b) What is the probability of rolling a 2?

ew i ev Pr

Teac he r

(a) 5 . 6 3 kg (b) 5 . 7 4 km – 1 . 3 2 kg – 2 . 5 1 km

4. Use a 10-sided die to find the probability of rolling a given number.

w ww

(a) What is the probability of rolling a 9? (b) What is the probability of rolling a 3?

m . u

For example, to roll a 7 = 1 chance in 10 = 1/10

. te of not rolling an 8? (d) What is the probability o c . che e r o t r s su pe (a) how many students are at school and in your classr today? (c) What is the probability of not rolling a 4?

C&D3.1—Describe chance outcomes referring to probability.

5. In your class today …

Use the numbers 1 to 5 to make each line total equal 8.

(b) what is the probability of you being chosen for a task by your teacher?

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 101 •

UNIT 34–3 1. Today’s number is … 48

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

Calculator

(a) 0.2 x 4 = (d) 0.2 x 3 = Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S (b) 0.3 x 3 =

(e) 0.2 x 2 =

(f) 0.1 x 6 =

Freezing!

(a)

ew i ev Pr

Teac he r

3. Look at these photos. Estimate the time of day and season each was taken and explain why.

(c)

Reason:

. te

Time:

(d)

o c . che e r o t r s super Season:

Reason:

Time:

Season:

Reason:

Show how you can be third and third-last in a line. • 102 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

M3.3—Use clues to estimate time of day or year.

w ww

(b)

Reason:

Season:

m . u

Season:

Time:

9 10

(f) 47 693 =

(g) 84 271 =

(h) 37 =

(i) 861 =

(j) 2748 =

(a) 4728 =

(b) 69 587 =

(d) 9281 =

(e) 4768 =

1. Write the place value of the underlined digit.

. te

o c . che e r o t r s super

R.I.C. Publications www.ricgroup.com.au

Written

Rate Your Choice ✓ Boiling!

(f) 0.6 x 7 =

(e) 0.8 x 7 =

(d) 0.6 x 9 =

(b) 0.8 x 5 =

(a) 0.9 x 4 =

Mental

Calculator

Freezing!

Pentagons

Quadrilaterals

(b) What is the common feature of each set of drawings?

m . u

2. Choose a form of calculation to complete some or all of the following calculations.

(a) Draw a number of different pentagons and quadrilaterals.

Teac he r

3. The following shapes show some different hexagons.

r o e t s Bo r e p ok u S

ew i ev Pr

w ww

Your Score ✓ 1

S3.4—Draw variations of 2-D shapes, maintaining common features such as number of sides.

UNIT 35–1

New Wave Maths for WA Book E • 103 •

UNIT 35–2 Your Score ✓ 1

1. Round these numbers to the nearest ten.

(a) 6984 =

(b) 3468 =

(d) 2089 =

(e) 1499 =

(f) 7438 =

(g) 6917 =

(h) 4761 =

(i) 8217 =

(j) 4287 =

9 10

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

3.5m x 7

Calculator

(b)

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S

5.6m x 5

(c)

7.4m x 5

(d)

4.5m x 6

(e)

6.4m x 4

(f) 4 . 6 m x 8

3. Read and answer these word problems.

(a) There are 28 marbles and I will get one-fourth. How many marbles will I get?

ew i ev Pr

Teac he r

Freezing!

(d) There are 50 pages in my book. I have read one-fifth. How many pages have I read?

w ww

(b) I have four friends over for dinner. We order pizza. It is cut into 15 slices. I will get one-fifth.

. te

m . u

How far have I left to walk?

(f) My bicycle cost $80. I have paid onefourth of the total amount.

o c . che e r o t r s super (c) There are 10 apples in the fruit basket. I ate two-fifths.

How much money have I paid?

How many apples did I eat?

or ? Which is the largest Show or explain how you made your decision.

• 104 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.1b—Find unit fractions of a whole number.

How many slices will I get?

UNIT 35–3 Your Score ✓ 1

1. Solve these.

(a) 500 + 400 =

(b) 600 + 800 =

(d) 700 + 400 =

(e) 900 + 900 =

(f) 500 – 200 =

(g) 200 – 100 =

(h) 800 – 500 =

(i) 900 – 700 =

(j) 700 – 100 =

9 10

2. Choose a form of calculation to complete some or all of the following calculations. Mental

3.2 x 23

r o e t s Bo r e p ok u S Calculator

(b)

Rate Your Choice ✓ Boiling!

4.1 x 22

(c)

2.1 34

(d)

3.4 x 12

My School Day

0600

7.00 a.m.

0700

8.00 a.m.

0800

11.00 a.m.

1100

12.00 p.m.

1200

1.00 p.m.

1300

2.00 p.m.

1400

3.00 p.m.

1500

4.00 p.m.

1600

5.00 p.m.

1700

School 1100 1200

1600

w ww

Lunch

1500

. te Watch television School

Do homework

1700

M3.4a—Read and make a daily schedule.

hours

(b) Is this more or less ©R . I . C . P u b l i c a t i o n sthan Carl? 9.00 a.m. 0900 •f orr e vi ew pur pose sonl y• 10.00 a.m. 1000

Get ready for school

1400

(a) How much TV do you watch?

0600

Breakfast

1300

You

o hours c . che e r time do you and o (e) What r st super Carl go to bed?

Athletics training

6.00 p.m.

1800

You

1900

Dinner

7.00 p.m.

1900

Carl

2000

Watch television

8.00 p.m.

2000

9.00 p.m.

2100

10.00 p.m.

2200

11.00 p.m.

2300

2200

Carl

(d) For how long does Carl do athletics training?

1800

2100

3.3 12

6.00 a.m.

Asleep

0700

1000

(f)

m . u

Carl's School Day

0900

2.2 x 33

Freezing!

3. Make your own timetable to show the main activities you do on a school day.

0800

(e)

ew i ev Pr

Teac he r

(a)

Written

Read a book Go to sleep

2300 R.I.C. Publications www.ricgroup.com.au

(f) Who gets up earlier? You

Carl

New Wave Maths for WA Book E • 105 •

UNIT 36–1 Your Score ✓ 1

1. Solve these.

(a) 600 + 300 =

(b) 800 + 400 =

(d) 900 + 700 =

(e) 100 + 600 =

(f) 500 – 400 =

(g) 600 – 200 =

(h) 700 – 300 =

(i) 300 – 200 =

(j) 400 – 100 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

r o e t s Bo r e p ok u S Calculator

5 0 . 7 2 (b) 34.31 21.48 17.08 + 30.40 + 40.74

Rate Your Choice ✓ Boiling!

(c)

38.74 20.96 + 16.84

(d)

26.06 19.40 + 23.37

(e)

46.27 30.08 + 24.83

(f)

26.07 42.34 + 72.49

ew i ev Pr

Teac he r

(a)

Written

Freezing!

3. Show, on the map below, the best place to put the following items.

(a) park bench (b) bus stop

Deli

swings

step-blocks

Newsagent

(f) rubbish bins

w ww

(h) gate

. te

Draw a path that passes horizontally or vertically through each cell in the grid once only. Start in the cell marked A.

o c . che e r o t r s super

Supermarket

pond

Butcher

A • 106 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

S3.1—Place features on a map in sensible locations.

(g) fence

slide

m . u

bouncy-horse

UNIT 36–2 Your Score ✓ 1

1. Solve these. (a) 400 + 30 =

(b) 600 + 50 =

(d) 700 + 60 =

(e) 50 + 300 =

(f) 200 – 30 =

(g) 800 – 70 =

(h) 400 – 20 =

(i) 100 – 90 =

(j) 700 – 60 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

r o e t s Bo r e p ok u S Calculator

4 2 . 1 8 (b) 25.56 31.93 16.27 + 21.56 + 26.44

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3. With the help of your teacher and teachers from other classes, make a tally to show the birth months of at least 100 children or, if fewer than 100, all the children in your school.

(c)

26.87 25.26 + 21.81

(d)

15.34 16.82 + 27.37

(e)

Freezing!

Season Birth Month

Tally

(f)

52.81 27.43 + 26.48

Total

December Summer

38.49 23.64 + 43.94

ew i ev Pr

Teac he r

(a)

Written

January

Order

May

C&D3.2, C&D3.3—Collect, record and summarise data using a tally accurately.

w ww

Winter

m . u

June July August

. te

September

o c . che e r o t (a) Which month has the most births? r s super Spring

October

November

(b) Which month has the least births?

(c) Which season has the most births? (d) Which season has the least births? (e) What is the total number of births for months beginning with J? (f) What is the difference between the months with the most and fewest births? (g) Order the months from fewest to most births.

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 107 •

UNIT 36–3 Your Score ✓ 1

1. Solve these. (a) 90 + 100 =

(b) 500 + 20 =

(d) 10 + 900 =

(e) 800 + 60 =

(f) 500 – 80 =

(g) 900 – 50 =

(h) 600 – 40 =

(i) 300 – 10 =

(j) 500 – 60 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

r o e t s Bo r e p ok u S

Calculator

$2 1 . 4 8 (b) $2 5 . 5 4 (c) $1 7 . 3 6 (d) $1 5 . 7 4 (e) $2 4 . 7 8 (f) $4 6 . 8 7 $1 5 . 2 6 $1 3 . 2 8 $1 2 . 1 1 $1 4 . 5 4 $1 1 . 9 8 $6 5 . 4 9 + $2 3 . 9 3 + $2 1 . 6 1 + $1 3 . 5 4 + $2 7 . 2 6 + $1 2 . 1 2 + $3 4 . 8 7

Rate Your Choice ✓ Boiling!

Freezing!

3. Read this graph and answer the questions. Number of Children Who Play Team Sports

ew i ev Pr

Teac he r

(a)

Written

Key

Cricket

= 200 children

Soccer

= 100 children

. te

o c . T-ball: Soccer: Cricket: Aussie Rules: che e r o st (b) What is the difference between r thes most and e least played sports? r up (a) Write the total number to children who play each sport.

–

Find three different ways to write the number one.

• 108 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

C&D3.4, N3.3—Interpret and summarise data shown in a pictograph.

w ww

Aussie Rules

m . u

T-ball

=3+4

=2+7

=8+5

=2+3

(b) 4 + 3 =

(d) 5 + 8 =

(e) 3 + 2 =

(h) 3 +

7 8

9 10

= 12 = 9 + 3

(g) 8 + 6 = 14 =

(f) 5 + 6 = 11 =

. te

R.I.C. Publications www.ricgroup.com.au

(j) 6 +

= 10 = 4 + 6

(i) 9 + 7 = 16 =

o c . che e r o t r s super

50 8 5 0

80 9 6 0

60 8 4 0

Written

Rate Your Choice ✓ Boiling!

(c)

(b)

(a)

Mental

(f)

(e)

(d)

Calculator

Freezing!

70 9 1 0

70 8 4 0

40 7 6 0

Teac he r

3. Draw the playing field for your favourite sport. Record all line markings. Point out any symmetry, shapes, repetition or divisions used on the field.

m . u

2. Choose a form of calculation to complete some or all of the following calculations.

=9+8

(a) 8 + 9 =

1. Complete these number sentences.

Your Score ✓ 1

ew i ev Pr

w ww

S3.3, M3.4b—Roughly draw a plan to scale and note its symmetrical features.

UNIT 37–1

r o e t s Bo r e p ok u S

New Wave Maths for WA Book E • 109 •

UNIT 37–2 Your Score ✓ 1

1. Write these as … 24-hour time. (a) 6.00 a.m. =

(b) 10.00 p.m. =

(d) 1.45 a.m. =

(e) 3.15 p.m. =

(i) 1245 =

(j) 0720 =

… 12-hour time. (f) 1425 =

(g) 1910 =

(h) 0030 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

Calculator

(b) 20 6 0 0

r o e t s Bo r e p ok u S (c)

30 6 0 0

Rate Your Choice ✓ Boiling!

(d)

50 7 0 0

(e)

20 5 0 0

30 9 0 0

20 4 0 0

Teac he r

Freezing!

(a) 2 + 7 + 5

(b) 4 + 9 + 5

ew i ev Pr

3. Rearrange these numbers to make the calculations easier.

(d) 2 + 7 + 3 + 5 = (e) 4 + 9 + 2 (f)

(f)

. te

pages

o c . (c) The football team bought 25 jumpers at $38 each. ch e $r ejumpers? How much did they pay for the o t r s super (d) Eighty-seven sporting teams raised an average of $67 each. (b) The netball team bought 20 shirts at $35 each. How much did they pay for the shirts?

How much money did they raise in total?

(e) An angler caught 27 fish. Each fish was worth $12.00. How much was the catch worth?

(f) A golfer bought 90 new golf balls at $6.00 for 10 balls. How much did he spend on golf balls?

Work out the value of your name if A = $1, B = $2, C = $3 and so on, up to … Z = $26.

My name = $

• 110 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3—Use conventional algorithms to solve the problems.

w ww

(a) A school bought 30 books, each with 50 pages. How many pages were in all 30 books?

m . u

4. Solve these.

UNIT 37–3 Your Score ✓ 1

1. Write as … cents. (a) $8.99

(b) $24.15

(d) $18.27

(e) $21.40

(h) 5000c

(i) 425c

(j) 3c

… dollars. (f) 16c

(g) 4728c

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a)

Calculator

(b) 30 5 7 0

r o e t s Bo r e p ok u S (c)

60 8 4 0

Rate Your Choice ✓ Boiling!

(d)

40 7 6 0

(e)

50 9 0 0

40 9 6 0

70 9 1 0

(a)

(c)

(e)

ew i ev Pr

Teac he r

Freezing!

3. Write the time shown on these clocks.

w ww

. te

(f)

m . u

(b)

(f)

o c . che e r o t r s super

M3.2—Read and write the time from analog and digital clocks.

4. Write the time shown on these clocks in words.

(a) How many minutes are in one week?

(b)

(c)

(d) R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 111 •

© R. I . C.Publ i cat i ons How much money do you think is spent on dog food in Australia in one year? f o r r ev i e r posesonl y• In your group,• decide how you are going to w answerp thisu question.

w ww

. te

ANSWER:

m . u

OUR PLAN

o c . che e r o t r s super

2. Describe how your group arrived at the answer.

• 112 • New Wave Maths for WA Book E

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WM3.2, WM3.4, N3.1a, N3.2, N3.3—Work mathematically to discuss and explain the best way to solve a problem.

r o e t s Bo r e p ok u S

ew i ev Pr

Teac he r

UNIT 38–1

UNIT 38–2 Your Score ✓ 1

1. Solve these.

(a) 10 x 30 =

(b) 10 x 20 =

(d) 10 x 50 =

(e) 10 x 80 =

(f) 360 ÷ 6 =

(g) 400 ÷ 8 =

(h) 320 ÷ 4 =

(i) 490 ÷ 7 =

(j) 240 ÷ 6 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a) 0 . 2 3 x 7

Calculator

(b) 0 . 5 7 x 6

Teac he r

Rate Your Choice ✓ Boiling!

(c)

0.48 x 8

(d) 0 . 9 4 x 6

(e) 0 . 7 5 x 5

r o e t s Bo r e p ok u S

(f)

0.54 x 7

Freezing!

Means of Transport to School Walk

Car

Bus

Girls

Boys

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3. Complete the table below to find out how each student in your class came to school today.

Bicycle

Other

Total

w ww

Classification 1

C&D3.2, C&D3.3—Collect and classify data using two-way tables.

. te Classification 2

m . u

4. Classify the students in your class in three different ways. Describe how you classified them and how many there are in each group.

o c . che e r o t r s super

Classification 3

Make four squares by removing two toothpicks.

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 113 •

UNIT 38–3 Your Score ✓ 1

1. Solve these.

(a) 10 x 60 =

(b) 10 x 90 =

(d) 10 x 10 =

(e) 10 x 0 =

(f) 150 ÷ 5 =

(g) 90 ÷ 3 =

(h) 100 ÷ 5 =

(i) 180 ÷ 6 =

(j) 280 ÷ 7 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a) x

Written

19 6

Calculator

(b) x

Teac he r

Rate Your Choice ✓ Boiling!

16 7

(c)

18 8

(d)

17 9

(e)

r o e t s Bo r e p ok u S x

15 6

(f) x

14 6

Freezing!

ew i ev Pr

3. Use real materials to find the solutions to these problems.

(a) 0.8 m of ribbon is divided into lengths of 0.2 m. (d) Divide a two-metre rod into 0.5 m lengths.

How many lengths will there be?

How many people will get a share?

(f) I ate 0.2 of a pizza leaving 0.8 of the pizza to share among four people.

o c . che e r o t r s super

How much will each receive?

How much of the pizza will each receive?

Which will weigh more, a kilogram of feathers or a kilogram of rocks? Feathers

Rocks

Explain. • 114 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.3, N3.1a—Use own methods to solve an algorithm.

w ww

. te

m . u

How many lengths are there?

(h) 80 ÷ 2 =

(i) 140 ÷ 7 =

(j) 120 ÷ 6 =

(d) 10 x 34 =

(e) 10 x 47 =

(g) 120 ÷ 4 =

(b) 10 x 39 =

(f) 200 ÷ 4 =

(a) 10 x 87 =

Your Score ✓ 1

8 9 10

o c . che e r o t r s super

R.I.C. Publications www.ricgroup.com.au

Rate Your Choice ✓ Boiling!

542.6m + 232.6m

(f)

Freezing!

423.9m + 264.4m

3 4 3 . 8 m (e) 263.8m + 214.7m + 514.7m

(b)

(c)

1 2 5 . 6 m (d) 432.5m + 812.7m + 456.9m

Calculator

(a)

Written

Use a different colour to show each route.

Yes

Is there more than one way you can go from home (H) to the shop (S) visiting the park (P) and the garage (G) without going over any path twice?

m . u

2. Choose a form of calculation to complete some or all of the following calculations.

Teac he r

In the space below, draw the routes you take from your house to the school, the park, the shopping centre and/or the sports ground. Use a different colour to show each route. Mark the important landmarks along each route.

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Mental

w ww

1. Solve these.

r o e t s Bo r e p ok u S

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S3.1, M3.4b—Demonstrate an understanding of proximity when drawing pathways on a map.

UNIT 39–1

New Wave Maths for WA Book E • 115 •

UNIT 39–2 Your Score ✓ 1

1. Solve these.

(a) 10 x 23 =

(b) 10 x 49 =

(d) 10 x 58 =

(e) 10 x 66 =

(f) $540 ÷ 9 =

(g) $160 ÷ 4 =

(h) $200 ÷ 5 =

(i) $240 ÷ 3 =

(j) $350 ÷ 7 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

r o e t s Bo r e p ok u S Calculator

Rate Your Choice ✓ Boiling!

ew i ev Pr

Teac he r

(a) 2 1 6 . 5 L (b) 2 4 6 . 8 L (c) 4 5 8 . 9 L (d) 2 7 5 . 8 L (e) 4 3 8 . 7 L (f) 2 1 7 . 6 L 112.2L 332.5L 131.3L 242.7L 194.1L 281.5L +3 9 5 . 7 L +2 5 7 . 7 L +276.5L +3 8 6 . 5 L +2 5 2 . 6 L +3 9 1 . 7 L

Freezing!

3. Use the four digits 7, 2, 3 and 9 to make as many different whole numbers as you can.

How many did you find?

What is the difference between them?

–

(a) 674

(b) 48 372 (c) 79 864 (d) 3 874 691

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(k) 6428

o c . che e (m) 4762 r o t r s super (n) 83 416 (l) 53 764

N3.1a—Read and write numbers into the thousands.

w ww

4. Write the total value of the digit underlined in each number.

m . u

Circle the largest and smallest numbers you made.

(e) 8938 (f) 4326 (g) 8724 (h) 4726

By removing four toothpicks, leave the remaining toothpicks to show five squares.

(i) 59 481 (j) 6 438 275 • 116 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

9 10

(f) 9483 =

(g) 6487 =

(h) 4968 =

(i) 7273 =

(j) 86 749 =

(a) 4872 =

(b) 3627 =

(d) 4867 =

(e) 8181 =

1. Write the place value of the underlined digit.

R.I.C. Publications www.ricgroup.com.au

Rate Your Choice ✓ Boiling!

3.174m +4.610m

4.352L + 2.430L

(b)

(c)

5 . 1 2 5 km + 3 . 2 3 0 km

(a)

Written

(f)

(e)

(d)

Freezing!

3 . 7 2 6 kg + 5 . 2 1 0 kg

2 . 4 3 2 km + 6 . 5 1 0 km

3.362L + 3.530L

Calculator

How many different combinations of clothing are there using the following items?

(j) throw a netball/basketball goal

(i) skip without stopping the rope

(h) hop the length of the netball court

(g) find a specific word in the dictionary—word:

(f) walk around the oval

(e) line up in two even lines

(d) run around the oval

m . u

o c . che e r o t r s super

2. Choose a form of calculation to complete some or all of the following calculations.

(b) run 100 m

(a) tie shoelaces

Teac he r

activity estimate

When measuring the following activities, estimate the time taken first then measure the time taken using a stopwatch, watch or egg timer. All activities do not need to be completed. However, if time permits they may all be attempted.

. te

Mental

r o e t s Bo r e p ok u S

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Your Score ✓ 1

w ww

M3.3, M3.2—Estimate, measure and record time taken to complete tasks.

actual

UNIT 39–3

New Wave Maths for WA Book E • 117 •

UNIT 40–1 Your Score ✓ 1

1. Round these to the nearest ten.

(a) 5692 =

(b) 8748 =

(d) 8918 =

(e) 7235 =

(f) 4788 =

(g) 6274 =

(h) 1065 =

(i) 2734 =

(j) 1676 =

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

(a) $6 . 4 8 x 4

Calculator

(b) $3 . 7 9 x 6

3. Find these differences.

(d) $4 . 9 3 x 7

(e) $5 . 6 7 x 5

r o e t s Bo r e p ok u S Freezing!

4. Now try these sums.

(a) From 3.25 take 2.6

(a) 4.35 m – 2.7 m =

(b) From 4.17 take 1.5

(b) 2.631 m – 1.218 m =

(d) From 3.276 take 1.524

(d) 5.146 m – 2.413 m =

(e) 4.54 mi –o 2.9n ms = © R. I . C.Publ i c at From 3.284 take 1.536 (f) 9.28 m – 6.5 m = •f orr evi ew pur p osesonl y•

(e) From 2.417 take 1.253

(h) From 4.231 take 2.468

w ww

(i) From 3.27 take 1.52 (j) From 4.863 take 2.594

5. Complete these sums.

(a) –

$5 . 2 7 $2 . 6 3

(c)

–

(b) $8 . 4 9 (d) . te – $2 . 5 2 – o c (l) From 6.721 take 3.194 . c e her r (m) From 5.123 take 2.321 o t s super (n) From 4.627 take 1.911 (k) From 2.498 take 1.199

(o) From 5.240 take 3.029 (p) From 4.906 take 2.019

• 118 • New Wave Maths for WA Book E

$4 . 2 9 $2 . 1 4

$6 . 2 1 $2 . 8 7

Use the numbers 1–9 inclusive to complete the magic square. Rows, columns and diagonals each total 15.

R.I.C. Publications www.ricgroup.com.au

N3.1a—Subtract decimals, measures and amounts of money.

(g) From 2.592 take 1.627

m . u

(f)

(f) $5 . 6 3 x 7

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

UNIT 40–2 Your Score ✓ 1

1. Complete these number sentences. (a) 5 x 7 x

= 70

(b) 2 x

(f) 3 x 7 x

= 84

(g) 8 x 4 x

x 4 = 48

= 48

(d)

= 64

(h) 3 x 2 x

= 30

(i) 2 x

x 4 x 2 = 80 (e) 4 x 6 x x 9 = 90

(j) 7 x 4 x

= 72 = 56

2. Choose a form of calculation to complete some or all of the following calculations. Mental

(a)

Written

0.13m x 23

Calculator

(b)

(c)

0.33m x 32

(d)

0.12m x 43

(e)

0 . 2 2 m (f) 0 . 2 2 m x 22 x 33

Freezing!

ew i ev Pr

Teac he r

Rate Your Choice ✓ Boiling!

r o e t s Bo r e p ok u S

0.23m x 21

30 28 26 24

150 100

w ww

rainfall (mL)

200

50 0

C&D3.4—Read and summarise information displayed in a graph.

. te

m . u

temperature (ºC)

3. Use the combined rainfall and temperature graph to answer the following questions. Combined Rainfall and Temperature Graph

o c . c e her r (a) Which is the hottest month? o t s super (b) Which are the coldest months? Jan.

Feb. March April

May

June

July

Aug.

Sept.

Oct.

Nov. Dec.

Months

(c) How much rain falls in the wettest month? (d) What amount of rain falls in the two months that receive the same rainfall?

By removing two toothpicks only, change this arrangement so that there are only two triangles.

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 119 •

UNIT 40–3 Your Score ✓ 1

1. Complete these number sentences. (a) 5 x 3 x

= 45

(b) 2 x 3 x

= 24

= 64

(d) 4 x 2 x

(f) 4 x 3 x

= 36

(g) 3 x 9 x

= 54

(h) 2 x 5 x

= 20

(i) 2 x

= 56 (e) 5 x 4 x

x 6 = 24

(j) 2 x

= 40

x 6 = 36

2. Choose a form of calculation to complete some or all of the following calculations. Mental

Written

r o e t s Bo r e p ok u S Calculator

Rate Your Choice ✓ Boiling!

(d) 0 . 6 9 m x 67

(e)

0.57m x 46

(f) 0 . 7 4 m x 53

Freezing!

ew i ev Pr

Teac he r

(a) 0 . 3 6 m (b) 0 . 7 5 m x 48 x 47

3. Use a calculator to solve these open number sentences by using the constant function. Example:

x3=9

9 – 3 = = =

The constant (=) button is pushed three times to get a display of 0: therefore, the answer is 3. The constant (=) button may be used in the reverse manner to find the same solution. x3=9

(h)

x 15 = 120

(o)

x 4 = 76

(b)

x 8 = 96

(i)

x 12 = 72

(p)

x 11 = 132

x 17 = 68

(j)

x 13 = 117

(q)

x 8 = 88

(d) (e)

x 15 = 90

(f)

x 6 = 96

(g)

x 9 = 81

(c)

. te

x 12 = 96

m . u

x 13 = 39

w ww

(a)

o c . x 18 = 126 x 14 = 56 (l) (s) che e r o (t) x 19 = 114 ruxp st 6 =e 84r (m)s (k)

x 7 = 98

(r)

x 14 = 126

(n)

x 16 = 112

(u)

x 19 = 133

Place the numbers 1, 2 and 3 in the grid so that no number appears twice in any single row or column.

• 120 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

N3.4—Use the constant function on a calculator to solve multiplication number sentences.

3 + = = = © R. I . C.Publ i cat i ons The constant (=) button is pushed three times to get a display of 9: therefore, the answer is 3. Use both of these methods solve these •f ortor e v i eproblems. w pur posesonl y• Example:

Essential Facts—General • digit

Symbols

• equation a statement of equality between two expressions (e.g. 3 x 4 = 6 + 6). • equivalent

the result when two or more numbers are multiplied (e.g. the product of 2, 3 and 4 is 2 x 3 x 4 = 24). • sum the result when two or more numbers are added.

r o e t s Bo r e p ok u S having the same value.

• even number

a positive (e.g. 8) or negative (e.g. –6) number exactly divisible by two.

• horizontal

describes a line or plane parallel to the horizon.

Mathematical Terms • addend

• mean (arithmetic mean)

any number which is to be added: 2 + 5 = 7 (2 and 5 are addends).

the average of a set of numbers (e.g. 5 + 3 + 6 + 1 + 5 = 20 ÷ 5 = 4.

• anticlockwise

• tessellating shapes shapes which cover an area with no gaps between them (e.g. squares).

• total

the result when two or more numbers are added.

ew i ev Pr

º . c $

any whole number from 0 to 9 (inclusive).

addition subtraction multiplication division greater than less than equal to not equal to approximately equal to degree decimal point cent dollar

Teac he r

+ – x ÷ > < =

• product

• traversable

a network is traversable if all paths can be traced over without going over the same path twice. • vertical

in. statistics, theu middle © R. I C .P bmeasurement l i cat i ons when information is arranged in ascending order (e.g. 5 is the median • ascending order • f orr evi ew pur posesonl y• of 1, 3, 5, 5, 6). Where there is no • median

moving in the opposite direction from the hands on a clock.

the arrangement of numbers from smallest to largest.

• modal score (mode)

w ww

describes dates arranged in the order in which they occur (e.g. 1920, 1936, 1992).

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o c . che e r o t r s super

moving in the same direction as the hands on a clock. • consecutive

consecutive numbers follow in order without interruption (e.g. 11, 12, 13). • descending order the arrangement of numbers from largest to smallest. • difference by how much a number is bigger or smaller than another.

R.I.C. Publications www.ricgroup.com.au

in statistics, the measurement that occurs most often (e.g. the modal score of 5, 3, 6, 1, 5 is 5).

m . u

middle score, an average of the two central scores is taken.

• chronological

• clockwise

a line which is at right angles to the horizon.

• net

a flat pattern that can be folded to make a three-dimensional model of a shape.

• numeral

a symbol used to represent a number.

• odd number a number that leaves a remainder of 1 when divided by 2. • place value indicates the position of a numeral (e.g. the place value of the 3 in the number 357 is hundreds).

New Wave Maths for WA Book E • 121 •

Essential Facts—Number Estimating

Place Value

An answer that is close to the exact answer and is found by rounding or by using your judgment to make your best guess.

Fractions and Decimals • fractions

A prime factor is a prime number that will divide evenly into a given number; e.g. 2, 3 and 5 are prime factors of 30. • multiples A multiple of a number is that number multiplied by other whole numbers; e.g. The multiples of 5 are 5, 10, 15, 20, 25 etc.

Rounding

The key to rounding numbers is to understand what is ‘closer to’ and use this to ‘round to the nearest’ so the answer appears reasonable. The chart below demonstrates this: Round down Round up

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29

• decimals

The decimal number system is based on the number ten. The decimal place system is based on multiples of ten, where a whole number is divided into tenths, hundredths, thousandths … and so on. This diagram shows how we use decimal fractions or the decimal place system.

30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49

ew i ev Pr

r o e t s Bo r e p ok u S

A fraction is a number which usually represents a part of a whole number. It has a denominator, which is the number below the line, indicating how many parts the whole number is divided into. numerator 3 It has a vinculum numerator, which 4 denominator is the number above the line, indicating how many parts are in consideration.

Teac he r

Place value indicates the position of a numeral; e.g. 4032.87—4 thousands, 0 hundreds, 3 tens, 2 ones, 8 tenths, 7 hundredths Th H T O Tths Hths 4 0 3 2 8 7

• prime factors

50 51 52 53 54 55 56 57 58 59 © R. I . C.Publ i cat i ons 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75r 76 78 79 •f orr evi e w p u p77o s esonl y•

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Special Numbers

divided into ten equal parts

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• prime numbers

0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1

A prime number is a number that can be divided evenly by only 1 and itself; e.g. 2, 3, 5, 7,11, 13 and 17. One is not a prime number. It is a special number because it doesn’t fit into any particular category.

o c . che e r o t r s super

each tenth can be divided into a further ten equal parts to make hundredths

Patterns

90 91 92 93 94 95 96 97 98 99

m . u

1 whole

80 81 82 83 84 85 86 87 88 89

Patterns occur in numbers in many different ways. Simple number patterns such as odd and even numbers are easily identified.

• composite numbers

A composite number is a number that can be divided by more than itself and 1; e.g. 4, 6, 8, 9, 10, 12 and 14. • factors A factor of a number is a number that will divide evenly into that number; e.g.The factors of 12 are 1, 2, 3, 4, 6 and 12. All numbers except 1 have more than one factor.

• 122 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

Essential Facts—Measurement Abbreviations • Length mm cm m km

• Length millimetre centimetre metre kilometre

• Area

10 mm = 1 cm 100 cm = 1 m 1000 m = 1 km • Area

r o e t s Bo r e p ok u S mm2 cm2 m2 km2 ha2

square millimetres square centimetres square metres square kilometres square hectares

• Capacity mL L kL

millilitre litre kilolitre

• Mass

100 mm2 = 1 cm2 10 000 mm2 = 1 m2 10 000 m2 = 1 ha 100 ha = 1 km2

• Mass

1000 g = 1 kg 1000 kg = 1 t

ew i ev Pr

Teac he r

Equivalent Measures

• Volume

1000 mm3 = 1 cm3 1 000 000 cm3 = 1 m3 • Capacity

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gram kilogram tonne

°C °F °K

degrees Celsius degrees Fahrenheit degrees Kelvin

• Time sec. min. hr or h. d m. yr or y. C M

second minute hour day month year century millennium

60 seconds = 1 minute 60 minutes = 1 hour 24 hours = 1 day 7 days = 1 week 52 weeks = 1 year 28–31 days = 1 month 365 days = 1 year 366 days = 1 leap year 10 years = 1 decade 100 years = 1 century 1000 years = 1 millennium

m . u

w ww

. te

g kg t

o c . che e r o t r s super

New Wave Maths for WA Book E • 123 •

Essential Facts—Space • vertices

2-D Shapes 2-D shapes have two dimensions— width and length. They may have curved or straight sides. Shapes with straight sides are called polygons. Polygons have three or more sides and angles.

• right angle

The intersection of two or more edges of a three-dimensional figure. vertices

right angle

• obtuse angle faces

An angle more than 90°.

obtuse angle

• reflex angle

r o e t s Bo r e p ok u S edges

An angle between 180° and 360°.

height

Those polygons with sides of equal length are called regular polygons.

length

width

There are different types of 3-D shapes:

• prisms

Polygons with four straight sides are called quadrilaterals.

reflex angle

The two ends of a prism are the same size and shape.

Tessellation

ew i ev Pr

Teac he r

An angle of exactly 90°.

A repeating pattern of congruent plane figures that completely cover a plane with no gaps or overlapping.

w ww

3-D Shapes

Hexagonal Prism

A pyramid is made up of a base shape such as a triangle, square, hexagon or decagon. The opposite end of the shape forms a point called an apex.

Other shapes include circles and ellipses.

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Triangular Prism

Apex

A transformation is a movement that doesn't change the size or shape of a figure. These movements are:

m . u

Quadrilaterals with opposite sides equal length and parallel, and opposite angles equal, are called parallelograms.

• translation (flip)

o c . ch e r Angles er o t s super

Three-dimensional shapes are also called solid figures. A 3-D shape has length, width and height. Parts of a 3-D shape include: • faces The surface area of a threedimensional figure. • edges The intersection of two faces of a three-dimensional figure.

• 124 • New Wave Maths for WA Book E

Square Pyramid

Triangular Pyramid

• rotation (turn)

An angle is the space formed by two lines or surfaces that meet. Angles are measured in degrees (°). A protractor is a measuring tool used to measure the size of an angle.

• reflection (slide)

• acute angle An angle less than 90°. acute angle

R.I.C. Publications www.ricgroup.com.au

Essential Facts—Chance and Data • Pictograph A graph in which data is represented by pictures. One picture could represent one unit or many.

These are used for classification activities or to show possible outcomes of chance events.

4000 Un

ifo

The likelihood of an event occurring; e.g. we have a 1 in 6 chance of throwing a 6 on a die. This would be written as 1:6.

• Tree diagram

Chance

3000

No uniform

2000

r o e t s Bo r e p ok u S 1000

rm Unifo 12

Teac he r

10%

30%

for m

Counting Numbers 1–20 Even

Square

6 uni

Named after John Venn, an English logician. This diagram is used to represent the classification of sets of items.

20%

20% 10%

18 Gir l s

• Venn diagram

Children at school

A graph in which portions of a circle are used to show a total divided into parts.

A graph which represents information regarding frequency of outcomes using bar lengths.

• Pie graph

• Bar graph

ew i ev Pr

Information is often recorded in pictorial form. This can be done in many different ways depending on how we need the information to be presented.

ys Bo 14

Graphs

18, 20

17,

2, 6, 8,

10, 12, 14,

3, 5 7, 13, 15

• Arrow diagram

w ww

B A

• Line graph

A diagram used to display various possible choices.

. te

Tables

m . u

These are used to organise data for a particular purpose.

Number of children in each team Blue Red Green Gold 46 43 49 32 40 50 35 49 86 93 84 81

o c . che e r o t r s Tally super Boys Girls Total

A graph formed by drawing straight lines which join points representing data.

• Carroll diagram

Named after Lewis Carroll; author, mathematician and logician.This diagram is useful when recording classification data.

50 40 30 20 10

square

not square

This is when a stroke is used to record items. Tallies generally use a diagonal stroke on the fifth item. = 13

0 A

B C D

F G H

I blue

not blue

R.I.C. Publications www.ricgroup.com.au

New Wave Maths for WA Book E • 125 •

r o e t s Bo r e p ok u S

ew i ev Pr

Teac he r

Working Out

w ww

. te

m . u

o c . che e r o t r s super

• 126 • New Wave Maths for WA Book E

R.I.C. Publications www.ricgroup.com.au

Personal Record—Memory Masters

Teac he r

Unit

Term 2 Your Score ✓ 1

11–1 11–2 11–3 12–1 12–2 12–3 13–1 13–2 13–3 14–1 14–2 14–3 15–1 15–2 15–3 16–1 16–2 16–3 17–1 17–2 17–3 18–1 18–2 18–3 19–1 19–2 19–3 20–1 20–2 20–3

r o e t s Bo r e p ok u S

w ww

21–1 21–2 21–3 22–1 22–2 22–3 23–1 23–2 23–3 24–1 24–2 24–3 25–1 25–2 25–3 26–1 26–2 26–3 27–1 27–2 27–3 28–1 28–2 28–3 29–1 29–2 29–3 30–1 30–2 30–3

Term 1 2

ew i ev Pr

1–1 1–2 1–3 2–1 2–2 2–3 3–1 3–2 3–3 4–1 4–2 4–3 5–1 5–2 5–3 6–1 6–2 6–3 7–1 7–2 7–3 8–1 8–2 8–3 9–1 9–2 9–3 10–1 10–2 10–3

Your Score ✓ 1

. te

R.I.C. Publications www.ricgroup.com.au

Unit 31–1 31–2 31–3 32–1 32–2 32–3 33–1 33–2 33–3 34–1 34–2 34–3 35–1 35–2 35–3 36–1 36–2 36–3 37–1 37–2 37–3 38–1 38–2 38–3 39–1 39–2 39–3 40–1 40–2 40–3

Your Score ✓ 1

m . u

Unit

o c . che e r o t r s super

New Wave Maths for WA Book E • 127 •

How Did I Go? Consider your progress each term. For each term, list areas or things you did well in your workbook and other areas or things you can improve upon.

Term 1 What I did well …

What I can do better …

r o e t s Bo r e p ok u S What I can do better …

ew i ev Pr

Teac he r

What I did well …

Term 2

w ww

. te

What I can do better …

m . u

What I did well …

Term 4

o c . che e r o t r s super

• 128 • New Wave Maths for WA Book E

What I can do better …

R.I.C. Publications www.ricgroup.com.au