# Jacaranda Maths Quest 8 Victorian Curriculum 1E (Revised) LearnON & Print

 Author(s): Boucher ISBN: 9780730348542 Pub date: November 2017 RRP: \$79.95
Jacaranda Maths Quest 8 Victorian Curriculum, 1st Revised Edition learnON & Print

This combined print and digital title provides 100% coverage of the 2017 Victorian Curriculum for Mathematics. The textbook comes with a complimentary activation code for learnON, the powerful digital learning platform making learning personalised and visible for both students and teachers.

The latest editions of the Jacaranda Maths Quest Victorian Curriculum series include these key features:

• Videos to address the 50 common maths misconceptions are directly embedded at the point of learning
• Worked examples featuring the familiar THINK/WRITE columns provide exemplary solutions and explanations
• Carefully graded questions in each exercise enable progression and cater to learners of different levels
• Fully worked solutions demonstrating best practice and helping prevent misconceptions
• Investigations and rich tasks providing students with opportunities for open-ended problem solving
• Reading content with integrated media providing a dynamic and uninterrupted learning experience

For teachers, learnON includes additional teacher resources such as quarantined questions and answers, curriculum grids and work programs.

The revised print edition has been updated to ensure 1:1 correspondence learnON, for a seamless teaching and learning experience.

To complement the Maths Quest series, assessON Maths Quest is available for Years 7–10.

Acknowledgements xii

Topic 1 Numeracy 1 1

1.1 Overview 1

1.2 Set A 2

1.3 Set B 6

Topic 2 Integers 13

2.1 Overview 13

2.2 Adding and subtracting integers 14

2.3 Multiplying integers 19

2.4 Dividing integers 22

2.5 Combined operations on integers 25

2.6 Review 28

Topic 3 Index laws 37

3.1 Overview 37

3.2 Review of index form 38

3.3 First Index Law 41

3.4 Second Index Law 44

3.5 Third Index Law 48

3.6 Fourth Index Law 51

3.7 Review 54

Project: Attack of the killer balloons 65

Topic 4 Real numbers 67

4.1 Overview 67

4.2 Addition and subtraction of fractions 68

4.3 Multiplication and division of fractions 74

4.4 Terminating and recurring decimals 78

4.5 Addition and subtraction of decimals 83

4.6 Multiplication and division of decimals 86

4.7 Estimation 90

4.8 Review 96

Topic 5 Ratios and rates 108

5.1 Overview 108

5.2 Introduction to ratios 109

5.3 Simplifying ratios 113

5.4 Proportion 117

5.5 Comparing ratios 122

5.6 Dividing in a given ratio 125

5.7 Rates 128

5.8 Interpreting graphs 132

5.9 Review 137

Topic 6 Application of percentages 148

6.1 Overview 148

6.2 Percentages, fractions and decimals 149

6.3 Finding percentages of an amount 154

6.4 Discount 158

6.5 Profit and loss 163

6.6 Goods and Services Tax (GST) 168

6.7 Review 170

Topic 7 Congruence 180

7.1 Overview 180

7.2 Congruent figures 181

7.3 Triangle constructions 185

7.4 Congruent triangles 189

7.6 Nets, Polyhedra and Euler’s rule 199

7.7 Review 203

Topic 8 Algebra 214

8.1 Overview 214

8.2 Using variables 215

8.3 Substitution 219

8.4 Working with brackets 222

8.5 Substituting positive and negative numbers 224

8.6 Number laws and variables 227

8.7 Simplifying expressions 232

8.8 Multiplying and dividing expressions with variables 235

8.9 Expanding brackets 240

8.10 Factorising 244

8.11 Review 247

Topic 9 Numeracy 2 261

9.1 Overview 261

9.2 Set C 262

9.3 Set D 267

Topic 10 Measurement 273

10.1 Overview 273

10.2 Perimeter 274

10.3 Circumference 279

10.4 Area of rectangles, triangles, parallelograms, rhombuses and kites 285

10.5 Area of a circle 292

10.6 Area of trapeziums 296

10.7 Volume of prisms and other solids 299

10.8 Time 305

10.9 24-hour clock and time zones 311

10.10 Review 317

Topic 11 Linear equations 332

11.1 Overview 332

11.2 Identifying patterns 333

11.3 Backtracking and inverse operations 338

11.4 Keeping equations balanced 341

11.5 Using algebra to solve problems 345

11.6 Equations with the unknown on both sides 351

11.7 Review 358

Topic 12 Representing and interpreting data 369

12.1 Overview 369

12.2 Samples and populations 370

12.3 Primary and secondary data 377

12.4 Organising and displaying data 385

12.5 Measures of centre 394

12.7 Analysing data 408

12.8 Review 414

Project: How to burglar-proof your bedroom 431

Topic 13 Probability 433

13.1 Overview 433

13.2 Probability scale 434

13.3 Experimental probability 438

13.4 Sample spaces and theoretical probability 445

13.5 Complementary events 453

13.6 Venn diagrams 456

13.7 Tree diagrams and two-way tables 463

13.8 Review 473

Topic 14 Coordinates and linear graphs 491

14.1 Overview 491

14.2 The Cartesian plane 492

14.3 Linear patterns 497

14.4 Plotting linear graphs 500

14.5 The y-intercept and gradient 506

14.6 Sketching linear graphs 514

14.7 Solving equations graphically 518

14.8 Review 523

Topic 15 Pythagoras’ theorem 546

15.1 Overview 546

15.2 Right-angled triangles 547

15.3 Finding the hypotenuse 549

15.4 Finding a shorter side 553

15.5 Working with different units 556

15.6 Composite shapes 560

15.8 Pythagoras in 3-D 568

15.9 Review 571

Topic 16 Numeracy 3 579

16.1 Overview 579

16.2 Set E 580

16.3 Set F 583

Topic 17 Programming

17.1 Overview

17.2 Expressions

17.3 Decisions

17.4 Functions

17.5 Testing

17.6 Debugging

17.7 Review