# Jacaranda Maths Quest 7 Stage 4 NSW Australian Curriculum 2E LearnON & Print

 Author(s): Smith ISBN: 9780730347378 Pub date: November 2017 RRP: \$69.95
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Jacaranda Maths Quest 7 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 Working Mathematically, with two exercise sets per sub-topic to test knowledge and put theory into practice
• 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 2

1.3 NAPLAN Practice 2 7

1.4 NAPLAN Practice 3 13

1.5 Review 20

Answers 21

2 Computation with Integers 23

2.1 Overview 23

2.2 Place Value 24

2.3 Adding and Subtracting Positive Integers 28

2.4 Multiplying and Dividing Positive Integers 33

2.5 Long Division 41

2.6 Rounding and Estimating 45

2.7 Integers on the Number Line 48

2.8 Addition and Subtraction of Integers 53

2.9 Multiplication and Division of Integers 58

2.10 Order of Operations 62

2.11 Review 67

Answers 74

3 Factors, Multiples, Indices and Primes 87

3.1 Overview 87

3.2 Factors and Multiples 88

3.3 Lowest Common Multiple and Highest Common Factor 92

3.4 Index Notation 98

3.5 Prime Numbers and Composite Numbers 101

3.6 Squares and Square Roots 106

3.7 Cubes and Cube Roots 111

3.8 Review 114

Answers 118

4 Fractions 127

4.1 Overview 127

4.2 What are Fractions? 128

5 Geometry 175

5.1 Overview 175

5.2 Types of Angles and Naming Angles 176

5.3 Parallel and Perpendicular Lines 182

5.4 Triangles 190

5.5 Quadrilaterals 201

5.6 Line and Rotational Symmetry 209

5.7 Review 214

Answers 222

6 Decimals 233

6.1 Overview 233

6.2 Place Value and Comparing Decimals 234

6.3 Converting Decimals to Fractions and Fractions to Decimals 240

6.4 Rounding and Repeating Decimals 244

6.5 Adding and Subtracting Decimals 249

6.6 Multiplying Decimals (Including by Multiples of 10) 254

6.7 Dividing Decimals (Including by Multiples of 10) 260

6.8 Review 266

Answers 270

7 Percentages 277

7.1 Overview 277

7.2 Percentages as Fractions 278

7.3 Percentages as Decimals 282

7.4 Fractions and Decimals to Percentages 284

7.5 Finding Percentages of an Amount 289

7.6 One Amount as a Percentage of Another 296

7.7 Common Percentages and Short Cuts 300

7.8 Review 305

8 Algebraic Techniques 317

8.1 Overview 317

8.2 Using Rules 318

8.3 Finding a Formula 323

8.4 Substitution 329

8.5 Terms, Expressions and Equations 336

8.6 Simplifying and the Distributive Law 342

8.7 The Associative and Commutative Laws 348

8.8 Review 350

Answers 357

9 Measurement 367

9.1 Overview 367

9.2 Units of Measurement and Converting Units of Measurement 368

9.3 Reading Scales and Measuring Length 374

9.4 Perimeter 381

9.5 Area 388

9.6 Area of Composite Shapes, Using Addition and Subtraction .401

9.7 Volume 406

9.8 Capacity 416

9.9 Plans and Views 419

9.10 Review 427

Answers 437

10 Probability 447

10.1 Overview 447

10.2 The Language of Chance 448

10.3 The Sample Space 452

10.4 Simple Probability 454

10.5 Using a Table to Show Sample Spaces 459

10.6 Experimenting with Chance 464

10.7 Review 470

Answers 475

11 Equations 483

11.1 Overview 483

11.2 Solving Equations Using Trial and Error 484

11.3 Building up Expressions 489

11.4 Solving Equations Using Backtracking 494

11.5 Keeping Equations Balanced 499

11.6 Checking Solutions 505

11.7 Review 509

Answers 513

12 Representing and Interpreting Data 519

12.1 Overview 519

12.2 Classifying Data 520

12.3 Displaying Data in Tables 522

12.4 Measures of Centre and Spread 527

12.5 Representing Data Graphically 1 535

12.6 Representing Data Graphically 2 544

12.7 Comparing Data 555

12.8 Review 559

Answers 566

Glossary 579

Index 585