# Jacaranda Maths Quest 8 Stage 4 NSW Australian Curriculum 2E LearnON & Print

Author(s): |
Smith |

ISBN: |
9780730347316 |

Pub date: |
November 2017 |

RRP: |
$70 |

*Jacaranda Maths Quest 8 Stage 4 NSW Australian curriculum, 2nd Edition learnON & Print**This combined print and digital title provides 100% coverage of the NSW 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 NSW Australian curriculum*series include these key features:

**Worked examples**featuring the familiar THINK/WRITE columns providing exemplary solutions and explanations**Carefully graded questions in each exercise**and individual pathway interactivities providing questions for learners at three levels**Worked solutions for every question**providing immediate feedback and help resolve misconceptions at the point of learning**Features a new exercise structure based on**, with two exercise sets per sub-topic to test knowledge and put theory into practice*Working Mathematically***The reading content contains embedded videos**addressing the 50 common maths misconceptions and hundreds of interactivities at the point of learning**Completely new curriculum grids**, work programs and even a poster for schools show complete coverage of every dot point in the curriculum

*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.

Overview ix

Acknowledgements xi

**1 NAPLAN Practice 1**

1.1 Overview 1

1.2 NAPLAN Practice 1 1

1.3 NAPLAN Practice 2 10

1.4 NAPLAN Practice 3 18

1.5 Review 25

Answers 26

**2 Computation with Integers 27**

2.1 Overview 27

2.2 Adding and Subtracting Integers 28

2.3 Multiplying Integers 33

2.4 Dividing Integers 36

2.5 Combined Operations on Integers 39

2.6 Review 43

Answers 47

**3 Fractions, Decimals and Percentages 51**

3.1 Overview 51

3.2 Addition and Subtraction of Fractions 52

3.3 Multiplication and Division of Fractions 59

3.4 Terminating and Recurring Decimals 63

3.5 Addition and Subtraction of Decimals 67

3.6 Multiplication and Division of Decimals 70

3.7 Estimation 74

3.8 Percentages, fractions and decimals 79

3.9 Finding percentages of an amount 84

3.10 Review 89

Answers 94

**4 Financial Mathematics 101**

4.1 Overview 101

4.2 Discount 102

4.3 The Unitary Method 108

4.4 Profit and Loss 112

4.5 Goods and Services Tax (GST) 118

4.6 Review 120

Answers 124

**5 Ratios and Rates 129**

5.1 Overview 129

5.2 Introduction to Ratios 130

5.3 Simplifying Ratios 134

5.4 Proportion 139

5.5 Comparing Ratios 143

5.6 Dividing in a Given Ratio 145

5.7 Rates 149

5.8 Interpreting Graphs 153

5.9 Review 158

Answers 163

**6 Congruence 169**

6.1 Overview 169

6.2 Congruent Figures 170

6.3 Congruent Triangles 174

6.4 Quadrilaterals 180

6.5 Review 184

Answers 188

**7 Algebraic Techniques 191**

7.1 Overview 191

7.2 Using Variables 192

7.3 Substitution 196

7.4 Working with Brackets 199

7.5 Substituting Positive and Negative Numbers 201

7.6 Number Laws and Variables 203

7.7 Simplifying Expressions 208

7.8 Multiplying and Dividing Expressions with Variables 211

7.9 Expanding Brackets 217

7.10 Factorising 221

7.11 Review 224

Answers 229

**8 Indices 237**

8.1 Overview 237

8.2 Review of Index Form 238

8.3 First Index Law (multiplying numbers in index form with the same base) 241

8.4 Second Index Law (dividing numbers in index form with the same base) 244

8.5 Third Index Law (the power of zero) 248

8.6 Fourth Index Law (raising a power to another power) 250

8.7 Review 254

Answers 260

**9 Measurement 265**

9.1 Overview 265

9.2 Perimeter 266

9.3 Circumference 272

9.4 Area of Rectangles, Triangles, Parallelograms, Rhombuses and Kites 279

9.5 Area of a Circle 287

9.6 Area of Trapeziums 292

9.7 Volume of Prisms and other Solids 295

9.8 Time 301

9.9 24-hour Clock and Time Zones 307

9.10 Review 313

Answers 319

**10 Equations 327**

10.1 Overview 327

10.2 Keeping Equations Balanced 328

10.3 Using Algebra to Solve Problems 330

10.4 Equations with the Unknown on Both Sides 336

10.5 Quadratic Equations 342

10.6 Review 344

Answers 349

**11 Linear Relationships 353**

11.1 Overview 353

11.2 The Cartesian plane 354

11.3 Translations in the Cartesian plane 359

11.4 Identifying Patterns 370

11.5 Linear Patterns 375

11.6 Linear Graphs 380

11.7 Graphing with Technology 388

11.8 Solving Equations Graphically 391

11.9 Review 397

Answers 403

**12 Probability 421**

12.1 Overview 421

12.2 Probability Scale 422

12.3 Sample Spaces and Theoretical Probability 426

12.4 Complementary Events 433

12.5 Mutually Exclusive and Compound Events 436

12.6 Venn diagrams and Two-Way Tables 442

12.7 Review 453

Answers 458

**13 Data Analysis 465**

13.1 Overview 465

13.2 Samples and Populations 466

13.3 Primary and Secondary Data 473

13.4 Organising and Displaying Data 482

13.5 Measures of Centre and Spread 492

13.6 Analysing Data 505

13.7 Review 512

Answers 516

**14 Pythagoras Theorem 529**

14.1 Overview 529

14.2 Right-angled Triangles 530

14.3 Finding the Hypotenuse 532

14.4 Finding a Shorter Side 536

14.5 Working with Different Units 539

14.6 Composite Shapes 543

14.7 Pythagorean Triads 548

14.8 Review 551

Answers 554

Glossary 557

Index 561