# Jacaranda Maths Quest 8 Australian Curriculum 3E LearnON & Print

Author(s): | Smith |

ISBN: | 9780730346746 |

Pub date: | November 2017 |

RRP: | $79.95 |

*Jacaranda Maths Quest 8 Australian Curriculum, 3rd Edition learnON & Print*This combined print and digital title provides 100% coverage of the Australian 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

*Jacaranda Maths Quest Australian Curriculum*series include these key features:

**Videos to address the 50 most commonly held misconceptions about maths**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**enables progression and caters to learners of different levels**Fully worked solutions**demonstrate best practice and help prevent misconceptions**Investigations and rich tasks**that provide 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.

To complement the Maths Quest series,

*assessON Maths Quest*is available for Years 7–10.

About this resource x

Acknowledgements xii

**Topic 1 Numeracy 1 1**

1.1 Overview 1

1.2 Set A 2

1.3 Set B 6

Answers 12

**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

Answers 33

**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

Answers 60

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

Answers 102

**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

Answers 142

**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

Answers 175

**Topic 7 Congruence 180**

7.1 Overview 180

7.2 Congruent figures 181

7.3 Triangle constructions 185

7.4 Congruent triangles 189

7.5 Quadrilaterals 195

7.6 Nets, polyhedra and Euler’s rule 199

7.7 Review 203

Answers 208

**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

Answers 253

**Topic 9 Numeracy 2 261**

9.1 Overview 261

9.2 Set C 262

9.3 Set D 267

Answers 272

**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

Answers 324

**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

Answers 363

**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

12.6 Measures of spread 402

12.7 Analysing data 408

12.8 Review 414

Answers 420

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

Answers 479

**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

Answers 530

**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

15.7 Pythagorean triads 565

15.8 Pythagoras in 3-D 568

15.9 Review 571

Answers 576

**Topic 16 Numeracy 3 579**

16.1 Overview 579

16.2 Set E 580

16.3 Set F 583

Answers 588

**Topic 17 Programming**

17.1 Overview

17.2 Expressions

17.3 Decisions

17.4 Functions

17.5 Testing

17.6 Debugging

17.7 Review

Answers

Glossary 589

Index 593