VICTORIAN CURRICULUM
SMITH | SMART | JAMES | MAHONY | LANGSFORD WILLING
JACARANDA
MATHS QUEST VICTORIAN CURRICULUM THIRD EDITION
9
D
TE
CO RR EC
N
U
E
G
PA
PR O
O
FS
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page i — #1
JACARANDA
MATHS QUEST
9
FS
VICTORIAN CURRICULUM
U
N
CO RR EC
TE
D
PA
G
E
PR O
O
THIRD EDITION
U
N
CO RR EC
TE
D
PA
G
E
PR O
O
FS
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page ii — #2
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page iii — #3
JACARANDA
MATHS QUEST
9
FS
VICTORIAN CURRICULUM
PR O
O
THIRD EDITION
PA
G
E
CATHERINE SMITH JAMES SMART GEETHA JAMES CAITLIN MAHONY
U
N
CO RR EC
TE
D
BEVERLY LANGSFORD WILLING
CONTRIBUTING AUTHORS Michael Sheedy | Kahni Burrows | Paul Menta
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page iv — #4
Third edition published 2023 by John Wiley & Sons Australia, Ltd Level 4, 600 Bourke Street, Melbourne, Vic 3000
The Publishers of this series acknowledge and pay their respects to Aboriginal Peoples and Torres Strait Islander Peoples as the traditional custodians of the land on which this resource was produced.
First edition published 2014 Revised edition published 2018 Second edition published 2021
This suite of resources may include references to (including names, images, footage or voices of) people of Aboriginal and/or Torres Strait Islander heritage who are deceased. These images and references have been included to help Australian students from all cultural backgrounds develop a better understanding of Aboriginal and Torres Strait Islander Peoples’ history, culture and lived experience.
Typeset in 10.5/13 pt TimesLT Std
FS
© John Wiley & Sons Australia, Ltd 2014, 2018, 2021, 2023
O
All activities in this resource have been written with the safety of both teacher and student in mind. Some, however, involve physical activity or the use of equipment or tools. All due care should be taken when performing such activities. To the maximum extent permitted by law, the author and publisher disclaim all responsibility and liability for any injury or loss that may be sustained when completing activities described in this resource. The Publisher acknowledges ongoing discussions related to gender-based population data. At the time of publishing, there was insufficient data available to allow for the meaningful analysis of trends and patterns to broaden our discussion of demographics beyond male and female gender identification.
PA
Reproduction and communication for other purposes Except as permitted under the Act (for example, a fair dealing for the purposes of study, research, criticism or review), no part of this book may be reproduced, stored in a retrieval system, communicated or transmitted in any form or by any means without prior written permission. All inquiries should be made to the publisher.
PR O
Reproduction and communication for educational purposes The Australian Copyright Act 1968 (the Act) allows a maximum of one chapter or 10% of the pages of this work, whichever is the greater, to be reproduced and/or communicated by any educational institution for its educational purposes provided that the educational institution (or the body that administers it) has given a remuneration notice to Copyright Agency Limited (CAL).
It is strongly recommended that teachers examine resources on topics related to Aboriginal and/or Torres Strait Islander Cultures and Peoples to assess their suitability for their own specific class and school context. It is also recommended that teachers know and follow the guidelines laid down by the relevant educational authorities and local Elders or community advisors regarding content about all First Nations Peoples.
E
ISBN: 978-1-394-23540-7
G
The moral rights of the authors have been asserted.
CO RR EC
TE
D
Trademarks Jacaranda, the JacPLUS logo, the learnON, assessON and studyON logos, Wiley and the Wiley logo, and any related trade dress are trademarks or registered trademarks of John Wiley & Sons Inc. and/or its affiliates in the United States, Australia and in other countries, and may not be used without written permission. All other trademarks are the property of their respective owners. Front cover images: © virinaflora/Adobe Stock Photos; © Marish/Shutterstock; © Good Studio/Adobe Stock Photos; © Visual Generation/Shutterstock Illustrated by various artists, diacriTech and Wiley Composition Services
U
N
Typeset in India by diacriTech
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page v — #5
Contents About this resource.......................................................................vii Acknowledgements.....................................................................xiv
147
3.1 Overview ....................................................... 148 3.2 Solving linear equations and inequations ...... 150 3.3 Solving linear equations with brackets .......... 161 3.4 Solving linear equations with variables on both sides ..................................................... 165 3.5 Solving problems with linear equations ......... 169 3.6 Rearranging formulas ................................... 175 3.7 Review .......................................................... 181 Answers ................................................................. 187
FS
NAPLAN practice
3 Linear equations
PR O
O
Set A Calculator allowed Set B Non-calculator Set C Calculator allowed Set D Non-calculator Set E Calculator allowed Set F Non-calculator
4 Congruence and similarity
E
1
CO RR EC
2 Algebra
TE
D
PA
1.1 Overview ........................................................... 2 1.2 Real numbers ................................................... 4 1.3 Rounding numbers and significant figures ...... 11 1.4 Review of exponent laws ................................ 16 1.5 Raising powers ............................................... 24 1.6 Negative exponents ........................................ 28 1.7 Scientific notation ........................................... 34 1.8 Square roots and cube roots .......................... 41 1.9 Surds (extending) ............................................ 44 1.10 Review ............................................................ 56 Answers ................................................................... 64
G
1 Number skills and exponent laws
191
4.1 Overview ....................................................... 192 4.2 Ratio and scale ............................................. 195 4.3 Congruent figures ......................................... 204 4.4 Nets, polyhedra and Euler’s formula ............. 212 4.5 Similar figures ............................................... 217 4.6 Area and volume of similar figures ................ 229 4.7 Review .......................................................... 238 Answers ................................................................. 247
2.1 Overview ......................................................... 72 2.2 Using variables ............................................... 74 2.3 Algebra in worded problems ........................... 83 2.4 Simplification of algebraic expressions ........... 88 2.5 Expanding brackets ........................................ 95 2.6 Difference of two squares and perfect squares ......................................................... 104 2.7 Further expansions ....................................... 109 2.8 The highest common factor .......................... 112 2.9 The highest common binomial factor ............ 118 2.10 Solving worded problems ............................. 122 2.11 Review .......................................................... 131 Answers ................................................................. 138
N U
71
5 Pythagoras and trigonometry
253
5.1 Overview ....................................................... 254 5.2 Pythagoras’ theorem .................................... 258 5.3 Applications of Pythagoras’ theorem ............ 267 5.4 Trigonometric ratios ...................................... 274 5.5 Calculating unknown side lengths ................ 282 5.6 Calculating unknown angles ......................... 291 5.7 Angles of elevation and depression .............. 299 5.8 Review .......................................................... 305 Answers ................................................................. 315
6 Linear and non-linear graphs
321
6.1 Overview ....................................................... 322 6.2 Plotting linear graphs .................................... 325 6.3 Features of linear graphs .............................. 331 6.4 The equation of a straight line ....................... 339 6.5 Sketching linear graphs ................................ 348 6.6 Technology and linear graphs ....................... 356 6.7 Practical applications of linear graphs .......... 360 6.8 Midpoint of a line segment and distance between two points ...................................... 365 6.9 Non-linear relations ....................................... 371 6.10 Review .......................................................... 385 Answers ................................................................. 393
Semester review 1
410
CONTENTS
v
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page vi — #6
7 Proportion and rates
413
12 Quadratic equations and graphs
7.1 Overview ....................................................... 414 7.2 Direct linear proportion ................................. 416 7.3 Proportionality .............................................. 421 7.4 Introduction to rates ..................................... 426 7.5 Constant and variable rates .......................... 429 7.6 Review .......................................................... 436 Answers ................................................................. 444
FS
8 Financial mathematics (extending)
447
PR O
E
808
13 Algorithmic thinking 13.1 Overview 13.2 Programs 13.3 Arrays 13.4 Loops 13.5 Set structures 13.6 Sorting algorithms 13.7 The Monte Carlo method 13.8 Review Answers
CO RR EC
10 Probability
TE
D
PA
9.1 Overview ....................................................... 488 9.2 Absolute, relative and percentage error ........ 492 9.3 Perimeter and circumference ........................ 498 9.4 Area .............................................................. 508 9.5 Area and perimeter of a sector ..................... 518 9.6 Surface area of rectangular and triangular prisms ........................................................... 525 9.7 Surface area of a cylinder ............................. 531 9.8 Volume of prisms and cylinders .................... 536 9.9 Review .......................................................... 549 Answers ................................................................. 559
Semester review 2
G
487
O
8.1 Overview ....................................................... 448 8.2 Salaries and wages ....................................... 451 8.3 Penalty rates ................................................. 455 8.4 Simple interest .............................................. 461 8.5 Compound interest ....................................... 469 8.6 Review .......................................................... 478 Answers ................................................................. 483
9 Measurement
715
12.1 Overview ....................................................... 716 12.2 Quadratic equations ..................................... 718 12.3 The Null Factor Law ...................................... 723 12.4 Solving quadratic equations with two terms ............................................................ 727 12.5 Factorising and solving monic quadratic equations ...................................................... 731 12.6 Graphs of quadratic functions ...................... 737 12.7 Sketching parabolas of the form y Ⴝ ax2 ....... 746 12.8 Sketching parabolas of the form y Ⴝ (x Ⴜ h)2 Ⴛ k .............................................. 752 12.9 Sketching parabolas of the form y Ⴝ (x Ⴛ a)(x Ⴛ b) ............................................ 764 12.10 Applications .................................................. 768 12.11 Review .......................................................... 774 Answers ................................................................. 783
565
10.1 Overview ....................................................... 566 10.2 Theoretical probability .................................. 572 10.3 Experimental probability ............................... 579 10.4 Venn diagrams and two-way tables .............. 588 10.5 Compound events ........................................ 605 10.6 Review .......................................................... 618 Answers ................................................................. 625
11 Statistics
633
U
N
11.1 Overview ....................................................... 634 11.2 Collecting data ............................................. 638 11.3 Organising data ............................................ 647 11.4 Displaying data ............................................. 657 11.5 Measures of centre ....................................... 672 11.6 Measures of spread ...................................... 688 11.7 Review .......................................................... 697 Answers ................................................................. 703
vi
CONTENTS
Algorithms and pseudocode (Optional) ............................ 810 Glossary ............................................................................... 833 Index ..................................................................................... 840
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page vii — #7
About this resource
O
FS
NEW FOR
G
E
PR O
VICTORIAN CURRICULUM V2.0
JACARANDA
PA
MATHS QUEST 9
VICTORIAN CURRICULUM
D
THIRD EDITION
TE
Developed by teachers for students
CO RR EC
Tried, tested and trusted. The third edition of the Jacaranda Maths Quest series, revised second edition, continues to focus on helping teachers achieve learning success for every student — ensuring no student is left behind, and no student is held back.
Because both what and how students learn matter
Learning is effortful
Learning is rewarding
Whether students need a challenge or a helping hand, you’ll find what you need to create engaging lessons.
Learning happens when students push themselves. With learnON, Australia’s most powerful online learning platform, students can challenge themselves, build confidence and ultimately achieve success.
Through real-time results data, students can track and monitor their own progress and easily identify areas of strength and weakness.
U
N
Learning is personal
Whether in class or at home, students can get unstuck and progress! Scaffolded lessons, with detailed worked examples, are all supported by teacher-led video eLessons. Automatically marked, differentiated question sets are all supported by detailed worked solutions. And Brand-new Quick Quizzes support in-depth skill acquisition.
And for teachers, Learning Analytics provide valuable insights to support student growth and drive informed intervention strategies.
ABOUT THIS RESOURCE
vii
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page viii — #8
Learn online with Australia’s most
FS
• Trusted, curriculum-aligned content • Engaging, rich multimedia • All the teacher support resources you need • Deep insights into progress • Immediate feedback for students • Create custom assignments in just a few clicks.
PR O
O
Everything you need for each of your lessons in one simple view
CO RR EC
TE
D
PA
G
E
Practical teaching advice and ideas for each lesson provided in teachON
Teaching videos for all lessons
U
N
Reading content and rich media including embedded videos and interactivities
viii ABOUT THIS RESOURCE
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page ix — #9
powerful learning tool, learnON
FS
New! Quick Quiz questions for skill acquisition
O
Differentiated question sets
PR O
Teacher and student views
Fully worked solutions eWorkbook
Digital documents Video eLessons Interactivities
Extra teaching support resources
Interactive questions with immediate feedback
U
N
CO RR EC
TE
D
PA
G
E
Textbook questions
ABOUT THIS RESOURCE
ix
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page x — #10
Get the most from your online resources Trusted Jacaranda theory, plus tools to support teaching and make learning more engaging, personalised and visible.
PR O
O
FS
Online, these new editions are the complete package
U
N
CO RR EC
TE
D
PA
G
E
Embedded interactivities and videos enable students to explore concepts and learn deeply by ‘doing’.
x ABOUT THIS RESOURCE
New teaching videos for every lesson are designed to help students learn concepts by having a ‘teacher at home’, and are flexible enough to be used for pre- and post-learning, flipped classrooms, class discussions, remediation and more.
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page xi — #11
PR O
O
FS
Brand new! Quick Quiz questions for skill acquisition in every lesson.
Instant reports give students visibility into progress and performance.
U
N
CO RR EC
TE
D
PA
G
E
Three differentiated question sets, with immediate feedback in every lesson, enable students to challenge themselves at their own level.
Every question has immediate, corrective feedback to help students overcome misconceptions as they occur and get unstuck as they study independently — in class and at home.
ABOUT THIS RESOURCE
xi
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page xii — #12
Maths Quest 7 includes Powering up for Year 7
PR O
O
FS
A six-week ‘Powering up for Year 7’ online program is designed to plug any gaps from earlier years.
PA D TE
CO RR EC
Go online to complete practice NAPLAN tests. There are 6 NAPLAN-style question sets available to help you prepare for this important event. They are also useful for practising your Mathematics skills in general.
G
E
NAPLAN Online Practice
Also available online is a video that provides strategies and tips to help with your preparation.
U
N
eWorkbook
xii ABOUT THIS RESOURCE
The eWorkbook enables teachers and students to download additional activities to support deeper learning.
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page xiii — #13
A wealth of teacher resources
PA
G
E
PR O
O
FS
Enhanced teacher support resources for every lesson, including: • work programs and curriculum grids • practical teaching advice • three levels of differentiated teaching programs • quarantined topic tests (with solutions)
D
Customise and assign
CO RR EC
TE
An inbuilt testmaker enables you to create custom assignments and tests from the complete bank of thousands of questions for immediate, spaced and mixed practice.
N
Reports and results
U
Data analytics and instant reports provide data-driven insights into progress and performance within each lesson and across the entire course. Show students (and their parents or carers) their own assessment data in fine detail. You can filter their results to identify areas of strength and weakness.
ABOUT THIS RESOURCE
xiii
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page xiv — #14
Acknowledgements The authors and publisher would like to thank the following copyright holders, organisations and individuals for their assistance and for permission to reproduce copyright material in this book.
FS
The Victorian Curriculum F–10 content elements are © VCAA, reproduced by permission. The VCAA does not endorse or make any warranties regarding this resource. The Victorian Curriculum F-10 and related content can be accessed directly at the VCAA website.
PR O
O
This may be a modified extract from the Victorian Curriculum F-10 and may include the work of other authors. VCAA does not endorse nor verify the accuracy of the information provided and accepts no responsibility for incomplete or inaccurate information. You can find the most up to date version of the Victorian Curriculum at http://victoriancurriculum.vcaa.vic.edu.au/.
Images
U
N
CO RR EC
TE
D
PA
G
E
• © SensorSpot/Getty Images: 667 • © michaelangelus/Getty Images: 781 • natthapol/Adobe Stock Photos: 496 • Shutterstock: 414, 416 • Shutterstock/Kahan Shan: 417 • © Aila Images/Shutterstock: 10 • © Albachiaraa/Shutterstock: 518 • © Alex Mit/Shutterstock: 180 • © Alexander Raths/Shutterstock: 782 • © ALPA PROD/Shutterstock: 460 • © Andrii Yalanskyi/Shutterstock: 426 • © anek.soowannaphoom/Shutterstock: 639 • © Aquarius Studio/Shutterstock: 671 • © BlueBarronPhoto/Shutterstock: 63 • © Brian A Jackson/Shutterstock: 4 • © Business stock/Shutterstock: 461 • © cassiede alain/Shutterstock: 751 • © CGN089/Shutterstock: 54 • © Ciprian Vladut/Shutterstock: 322 • © ClaudioValdes/Shutterstock: 160 • © Creativa Images/Shutterstock: 450 • © Dario Lo Presti/Shutterstock: 392 • © Daxiao Productions/Shutterstock: 174 • © Dean Drobot/Shutterstock: 90 • © DenisProduction.com/Shutterstock: 180 • © Dima Moroz/Shutterstock: 261 • © Diyana Dimitrova/Shutterstock: 63 • © Dragon Images/Shutterstock: 454 • © Drazen Zigic/Shutterstock: 458 • © Fablok/Shutterstock: 39 • © fizkes/Shutterstock: 477 • © Galina Barskaya/Shutterstock: 81 • © Ground Picture/Shutterstock: 175, 456 • © Harvepino/Shutterstock: 462 • © hidesy/Shutterstock: 448 • © inspiredbyart/Shutterstock: 423 • © ITTIGallery/Shutterstock: 469 • © Jesus Cervantes/Shutterstock: 687 • © jocic/Shutterstock: 15 • © Kaspars Grinvalds/Shutterstock: 418 • © ksy9/Shutterstock: 773 • © Kuki Ladron de Guevara/Shutterstock: 15 • © Leah-Anne Thompson/Shutterstock: 392 • © leolintang/Shutterstock: 434 • © Lerner Vadim/Shutterstock: 372 • © Lightspring/Shutterstock: 311 • © Marques/Shutterstock: 52 • © Merydolla/Shutterstock: 192 • © michaeljung/Shutterstock: 460 • © Mila Supinskaya Glashchenko/Shutterstock: 168 • © Monkey Business Images/Shutterstock: 55, 85, 454, 468 • © New Africa/Shutterstock: 464 • © NikoNomad/Shutterstock: 39, 62 • © Nilobon Sweeney/Shutterstock: 15 • © Norman Pogson/Shutterstock: 254 • © OSTILL is Franck Camhi/Shutterstock: 782 • © PavleMarjanovic/Shutterstock: 781 • © Petr Toman/Shutterstock: 428 • © pikselstock/Shutterstock: 449 • © Pius Lee/Shutterstock.com: 307 • © PlusONE/Shutterstock: 236 • © Potstock/Shutterstock: 164 • © puhhha/Shutterstock: 2 • © rachel ko/Shutterstock: 169 • © Rawpixel.com/Shutterstock: 137, 185 • © REDPIXEL.PL/Shutterstock: 468 • © Robert Kneschke/Shutterstock: 21 • © Samuel Borges Photography/Shutterstock: 433 • © SERGEI PRIMAKOV/Shutterstock: 425 • © Sergey Nivens/Shutterstock: 35 • © Serhiy Stakhnyk/Shutterstock: 148 • © Shutterstock: 203 • © Shutterstock/Africa Studio: 810 • © Shutterstock/Bankoo: 72 • © Shutterstock/Brilliantist Stud: 831 • © Shutterstock/enciktepstudio: 826 • © Shutterstock/Kaewta Mungkung: 820 • © Shutterstock/nuntarat eksaweta: 831 • © Skylines/Shutterstock: 125 • © smallblackcat/Shutterstock: 227 • © Sofiaworld/Shutterstock: 233 • © Stuart Monk/Shutterstock: 164 • © szefei/Shutterstock: 476 • © Taras Vyshnya/Shutterstock: 425 • © ThomasLENNE/Shutterstock: 122 • © Tom Hirtreiter/Shutterstock: 442 • © UfaBizPhoto/Shutterstock: 469 • © Vladitto/Shutterstock: 363 • © Walter Cicchetti/Shutterstock: 137 • © wavebreakmedia/Shutterstock: 41, 186 • © XiXinXing/Shutterstock: 459 • Africa Studio/Shutterstock: 497 • Gitanna/Shutterstock: 498 • Microgen/Shutterstock: 494 • © Adisa/Shutterstock: 645 • © Africa Studio/Shutterstock: 585 • © Alan Poulson Photography/Shutterstock: 620 • © Alex James Bramwell/Shutterstock: 621 • © AlexanderTrou/Shutterstock, Marish/Shutterstock, vectorstudi/Shutterstock: 71, 147, 191, 253, 321, 447, 487, 565, 633 • © AlexanderTrou/Shutterstock,Marish/Shutterstock, vectorstudi/Shutterstock: 715 • © alexsl/Getty Images: 281 • © Analia Aguilar Camacho/Shutterstock: 531 • © andrea crisante/Shutterstock: 529 • © Andresr/Shutterstock: 359, 600 • © Anel Alijagic/Shutterstock: 171 • © antoniodiaz/Shutterstock: 453 • © ARTvektor/Shutterstock: 617 • © Ashley Whitworth/Shutterstock: 516 • © Barney Magrath/NASA: 40 • © bikeriderlondon/Shutterstock: 576 • © Binikins/Shutterstock: 480 • © Bo Valentino/Shutterstock: 594 • © Chatchai Somwat/Shutterstock: 648 • © CHRISTOPHE ROLLAND/Shutterstock: 685 • © chrupka/Shutterstock: 614 • © Corbis: 771 • © David
xiv
ACKNOWLEDGEMENTS
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page xv — #15
CO RR EC
TE
D
PA
G
E
PR O
O
FS
H.Seymour/Shutterstock: 546 • © defpicture/Shutterstock: 517 • © Desmos, Inc.: 758, 759 • © Dimedrol68/Shutterstock: 424 • © Dmitry Natashin/Shutterstock: 54 • © dotshock/Shutterstock: 772 • © Edw/Shutterstock: 183 • © Eric Gevaert/Shutterstock: 438 • © ESB Professional/Shutterstock: 419, 467 • © freesoulproduction/Shutterstock: 28 • © Galina Barskaya/Shutterstock: 77 • © Hallgerd/Shutterstock: 239 • © hddigital/Shutterstock: 479 • © Henri et George/Shutterstock: 183 • © ILYA GENKIN/Shutterstock: 364 • © Image Addict: 555 • © J.D.S/Shutterstock: 125 • © Jennifer Wright/John Wiley & Sons Australia: 534 • © jessicakirsh/Shutterstock: 620 • © jiris/Shutterstock: 23 • © John Wiley & Sons Australia: 87, 103 • © John Wiley & Sons Australia/Jo Patterson: 493 • © Juergen Faelchle/Shutterstock: 506 • © Kari-Ann Tapp/John Wiley & Sons Australia: 656 • © Khakimullin Aleksandr/Shutterstock: 182 • © Kitch Bain/Shutterstock: 606 • © kurhan/Shutterstock: 179 • © Laitr Keiows/Shutterstock: 505 • © Larry-Rains/Shutterstock: 129 • © lucadp/Shutterstock: 530 • © LuckyImages/Shutterstock: 665 • © Luna Vandoorne/Shutterstock: 174 • © Lyn Elms/John Wiley & Sons Australia: 307 • © Magdalena Kucova/Shutterstock: 488 • © Maksim Kabakou/Shutterstock: 129 • © Martin Charles Hatch/Shutterstock: 695 • © Maxisport/Shutterstock: 228 • © metamorworks/Shutterstock: 566 • © Michael William/Shutterstock: 171 • © MilanB/Shutterstock: 217 • © Mmaxer/Shutterstock: 82 • © Monkey Business Images/Shutterstock, racorn/Shutterstock, Kari-Ann Tapp/John Wiley & Sons Australia: 736 • © monticello/Shutterstock: 604 • © Nata-Lia/Shutterstock: 546 • © Naypong Studio/Shutterstock: 203 • © Neale Cousland/Shutterstock: 86 • © Nikodash/Shutterstock: 505 • © Olaf Speier/Shutterstock: 574 • © OZBEACHES/Shutterstock: 716 • © PeopleImages/E+/Getty ImagesDean Drobot/Shutterstock: 451 • © Philip Yuan/Shutterstock: 202 • © PhotoDisc: 216, 285, 289, 545, 547 • © Phovoir/Shutterstock: 302 • © pics4sale/Shutterstock: 518 • © PinkBlue/Shutterstock: 530 • © Pressmaster/Shutterstock: 776 • © pryzmat/Shutterstock: 363 • © quka/Shutterstock: 197 • © Radu Bercan/Shutterstock: 767 • © Ramon grosso dolarea/Shutterstock: 86 • © Rawpixel.com/Shutterstock: 634 • © Redshinestudio/Shutterstock: 169 • © Renee Bryon/John Wiley & Sons: 298 • © Renee Bryon/John Wiley & Sons Australia: 272, 608 • © Renee Bryon/John Wiley & Sons Australia: 94, 245 • © Robyn Mackenzie/Shutterstock: 422, 606 • © Roma Koshel/Shutterstock: 573 • © s74/Shutterstock: 776 • © Shenjun Zhang/Shutterstock: 763 • © Sinisa Botas/Shutterstock: 586 • © Sonja Foos/Shutterstock: 669 • © Source: Wiley Art, 297 • © Stefan Schurr/Shutterstock: 437 • © StepStock/Shutterstock: 727 • © StockPhotosLV/Shutterstock: 330 • © sunsetman/Shutterstock: 428 • © Suzanne Tucker/Shutterstock: 179, 616 • © Texas Instruments: 356, 357 • © Tyler Olson/Shutterstock: 338 • © Used with permission from Microsoft: 642 • © Val Thoermer/Shutterstock: 586 • © Vitalii Vodolazskyi/Shutterstock Rtimages/Shutterstock: 456 • © Vitalinka/Shutterstock: 614 • © Volt Collection/Shutterstock: 262 • © wavebreakmedia/Shutterstock: 579 • © weknow/Shutterstock: 133 • © Wiley art: 123 • © WilleeCole Photography/Shutterstock: 240 • © Worytko Pawel/Shutterstock: 620 • © Yellow duck/Shutterstock, pattang/Shutterstock, Denis Tabler/Shutterstock, Nattika/Shutterstock, rangizzz/Shutterstock: 638 • © Yermek/Shutterstock: 698 • © Avesun/Shutterstock: 271 • © CASIO, 221–223: 283, 284, 292, 326, 327, 341, 366, 368, 373, 377, 378, 380, 381, 403, 404, 501, 582, 659, 689, 690, 720, 725, 733, 741, 758, 770 • © ChiccoDodiFC/Shutterstock: 290 • © Christina Richards/Shutterstock: 298 • © Haali/Shutterstock: 57, 182, 239, 306, 386, 479, 550 • © John Wiley & Sons Australia: 103 • © LightSecond/Shutterstock: 338 • © PhotoDisc: 298 • © Polka Dot Images: 298 • © Renee Bryon/John Wiley & Sons Australia: 271, 290 • © Texas Instruments, 221–223: 326, 327, 341, 368, 373, 377, 378, 380, 381, 403, 404, 501, 502, 582, 583, 642, 643, 659, 660, 689, 690, 720, 725, 733, 741, 758, 770 • © Texas Instruments Incorporated: 283, 284, 292
U
N
Every effort has been made to trace the ownership of copyright material. Information that will enable the publisher to rectify any error or omission in subsequent reprints will be welcome. In such cases, please contact the Permissions Section of John Wiley & Sons Australia, Ltd.
ACKNOWLEDGEMENTS
xv
“FMPrelims_PrintPDF” — 2023/10/28 — 6:21 — page xvi — #16
NAPLAN practice
PR O
O
Also available online is a video that provides strategies and tips to help with your preparation.
FS
Go online to complete practice NAPLAN tests. There are 6 NAPLAN-style question sets available to help you prepare for this important event. They are also useful for practising your Mathematics skills in general.
SET B Non-calculator
TE
D
PA
G
E
SET A Calculator allowed
U
N
CO RR EC
SET C Calculator allowed
xvi
SET E Calculator allowed
NAPLAN PRACTICE
SET D Non-calculator
SET F Non-calculator