# Maths Quest 8 for Victoria Australian Curriculum Edition & LearnON

Author/s |
Smith |
---|---|

ISBN13 | 9780730311850 |

Pub date | October 2014 |

Pages | 592 |

RRP | $69.95 |

** Maths Quest 8 for Victoria Australian Curriculum edition with learnON** is a combined print and digital product that includes the familiar Maths Quest 8 printed textbook (2014 Edition) and an activation code for learnON, Jacaranda’s immersive new eBook, which has been updated for the 2017 Victorian Curriculum: Mathematics. The new eBook also includes additional teacher resources such as quarantined questions and answers, curriculum grids and teacher notes –

*no separate eGuide purchase is required.*

About eBookPLUS vii

Overview viii

Acknowledgements x

NUMERACY

Topic 1 Numeracy 1 2

1.1 Overview 2

1.2 Set A 4

1.3 Set B 9

Answers 14

NUMBER AND ALGEBRA

Topic 2 Integers 16

2.1 Overview 16

2.2 Adding and subtracting integers 18

Exercise 2.2 19

2.3 Multiplying integers 23

Exercise 2.3 24

2.4 Dividing integers 26

Exercise 2.4 27

2.5 Combined operations on integers 29

Exercise 2.5 30

2.6 Review ONLINE ONLY 33

eBookPLUS activities 37

Answers 38

NUMBER AND ALGEBRA

Topic 3 Index laws 40

3.1 Overview 40

3.2 Review of index form 42

Exercise 3.2 43

3.3 First Index Law (multiplying numbers

in index form with the same base) 45

Exercise 3.3 47

3.4 Second Index Law (dividing numbers in index form with the same base) 49

Exercise 3.4 50

3.5 Third Index Law (the power of zero) 52

Exercise 3.5 53

3.6 Fourth Index Law (raising a power to another power) 55

Exercise 3.6 56

3.7 Review ONLINE ONLY 59

eBookPLUS activities 63

Answers 64

ProjectsPLUS ICT ACTIVITY

Attack of the killer balloons pro-0095 66

NUMBER AND ALGEBRA

Topic 4 Real numbers 68

4.1 Overview 68

4.2 Addition and subtraction of fractions 70

Exercise 4.2 74

4.3 Multiplication and division of fractions 76

Exercise 4.3 78

4.4 Terminating and recurring decimals 80

Exercise 4.4 83

4.5 Addition and subtraction of decimals 85

Exercise 4.5 86

4.6 Multiplication and division of decimals 88

Exercise 4.6 91

4.7 Estimation 92

Exercise 4.7 96

4.8 Review ONLINE ONLY 99

eBookPLUS activities 103

Answers 104

NUMBER AND ALGEBRA

Topic 5 Ratios and rates 108

5.1 Overview 108

5.2 Introduction to ratios 110

Exercise 5.2 110

5.3 Simplifying ratios 114

Exercise 5.3 116

5.4 Proportion 119

Exercise 5.4 120

5.5 Comparing ratios 123

Exercise 5.5 124

5.6 Dividing in a given ratio 126

Exercise 5.6 127

5.7 Rates 129

Exercise 5.7 130

5.8 Interpreting graphs 133

Exercise 5.8 136

5.9 Review ONLINE ONLY 139

eBookPLUS activities 143

Answers 144

FMPrelims.indd 3 04/08/14 10:09 AM

iv Contents

NUMBER AND ALGEBRA

Topic 6 Application of

percentages 148

6.1 Overview 148

6.2 Percentages, fractions and decimals 150

Exercise 6.2 152

6.3 Finding percentages of an amount 154

Exercise 6.3 155

6.4 Discount 158

Exercise 6.4 160

6.5 Profi t and loss 163

Exercise 6.5 165

6.6 Goods and Services Tax (GST) 168

Exercise 6.6 169

6.7 Review ONLINE ONLY 171

eBookPLUS activities 175

Answers 176

MEASUREMENT AND GEOMETRY

Topic 7 Congruence 178

7.1 Overview 178

7.2 Congruent fi gures 180

Exercise 7.2 181

7.3 Triangle constructions 184

Exercise 7.3 186

7.4 Congruent triangles 188

Exercise 7.4 191

7.5 Quadrilaterals 193

Exercise 7.5 195

7.6 Nets, polyhedra and Euler’s rule 198

Exercise 7.6 200

7.7 Review ONLINE ONLY 203

eBookPLUS activities 207

Answers 208

NUMBER AND ALGEBRA

Topic 8 Algebra 212

8.1 Overview 212

8.2 Using variables 214

Exercise 8.2 215

8.3 Substitution 219

Exercise 8.3 220

8.4 Working with brackets 221

Exercise 8.4 222

8.5 Substituting positive and

negative numbers 224

Exercise 8.5 225

8.6 Number laws and variables 226

Exercise 8.6 231

8.7 Simplifying expressions 232

Exercise 8.7 234

8.8 Multiplying and dividing expressions

with variables 236

Exercise 8.8 239

8.9 Expanding brackets 242

Exercise 8.9 243

8.10 Factorising 245

Exercise 8.10 247

8.11 Review ONLINE ONLY 249

eBookPLUS activities 253

Answers 254

NUMERACY

Topic 9 Numeracy 2 258

9.1 Overview 258

9.2 Set C 260

9.3 Set D 266

Answers 272

MEASUREMENT AND GEOMETRY

Topic 10 Measurement 274

10.1 Overview 274

10.2 Perimeter 276

Exercise 10.2 279

10.3 Circumference 281

Exercise 10.3 283

10.4 Area of rectangles, triangles,

parallelograms, rhombuses

and kites 287

Exercise 10.4 291

10.5 Area of a circle 295

Exercise 10.5 296

10.6 Area of trapeziums 299

Exercise 10.6 300

10.7 Volume of prisms and

other solids 302

Exercise 10.7 305

10.8 Time 308

Exercise 10.8 311

10.9 24-hour clock and time zones 314

Exercise 10.9 317

10.10 Review ONLINE ONLY 321

eBookPLUS activities 325

Answers 326

FMPrelims.indd 4 04/08/14 10:09 AM

NUMBER AND ALGEBRA

Topic 11 Linear equations 330

11.1 Overview 330

11.2 Identifying patterns 332

Exercise 11.2 335

11.3 Backtracking and inverse operations 336

Exercise 11.3 338

11.4 Keeping equations balanced 340

Exercise 11.4 341

11.5 Using algebra to solve problems 344

Exercise 11.5 347

11.6 Equations with the unknown on

both sides 350

Exercise 11.6 353

11.7 Review ONLINE ONLY 357

eBookPLUS activities 361

Answers 362

STATISTICS AND PROBABILITY

Topic 12 Representing and

interpreting data 366

12.1 Overview 366

12.2 Samples and populations 368

Exercise 12.2 372

12.3 Primary and secondary data 376

Exercise 12.3 381

12.4 Organising and displaying data 384

Exercise 12.4 389

12.5 Measures of centre 393

Exercise 12.5 398

12.6 Measures of spread 402

Exercise 12.6 405

12.7 Analysing data 408

Exercise 12.7 411

12.8 Review ONLINE ONLY 415

eBookPLUS activities 419

Answers 420

ProjectsPLUS ICT ACTIVITY

How to burglar-proof your bedroom pro-0097 428

STATISTICS AND PROBABILITY

Topic 13 Probability 430

13.1 Overview 430

13.2 Probability scale 432

Exercise 13.2 434

13.3 Experimental probability 436

Exercise 13.3 438

13.4 Sample spaces and theoretical

probability 443

Exercise 13.4 446

13.5 Complementary events 451

Exercise 13.5 452

13.6 Venn diagrams 454

Exercise 13.6 458

13.7 Tree diagrams and two-way tables 461

Exercise 13.7 465

13.8 Review ONLINE ONLY 471

eBookPLUS activities 475

Answers 476

NUMBER AND ALGEBRA

Topic 14 Coordinates and

linear graphs 482

14.1 Overview 482

14.2 The Cartesian plane 484

Exercise 14.2 486

14.3 Linear patterns 488

Exercise 14.3 490

14.4 Plotting linear graphs 492

Exercise 14.4 494

14.5 The y-intercept and gradient 497

Exercise 14.5 501

14.6 Sketching linear graphs 506

Exercise 14.6 508

14.7 Solving equations graphically 509

Exercise 14.7 512

14.8 Review ONLINE ONLY 515

eBookPLUS activities 519

Answers 520

MEASUREMENT AND GEOMETRY

Topic 15 Pythagoras’

theorem 528

15.1 Overview 528

15.2 Right-angled triangles 530

Exercise 15.2 530

15.3 Finding the hypotenuse 532

Exercise 15.3 534

15.4 Finding a shorter side 536

Exercise 15.4 537

15.5 Working with different units 540

Exercise 15.5 541

Contents v

FMPrelims.indd 5 04/08/14 10:09 AM

15.6 Composite shapes 543

Exercise 15.6 545

15.7 Pythagorean triads 548

Exercise 15.7 550

15.8 Pythagoras in 3-D 551

Exercise 15.8 553

15.9 Review ONLINE ONLY 555

eBookPLUS activities 559

Answers 560

NUMERACY

Topic 16 Numeracy 3 562

16.1 Overview 562

16.2 Set E 564

16.3 Set F 568

Answers 573

Glossary 575

Index