About this resource vii Acknowledgements xiv NAPLAN practice Set A Calculator allowed Set B Non-calculator Set C Calculator allowed Set D Non-calculator Set E Calculator allowed Set F Non-calculator 1 Integers 1 1.1 Overview 2 1.2 Adding and subtracting integers 4 1.3 Multiplying integers 11 1.4 Dividing integers 15 1.5 Order of operations with integers 19 1.6 Review 23 Answers 29 2 Index laws 33 2.1 Overview 34 2.
2 Review of index form 36 2.3 Multiplying powers 41 2.4 Dividing powers 45 2.5 The zero index 50 2.6 Raising powers 54 2.7 Review 60 Answers 67 3 Real numbers 71 3.1 Overview 72 3.2 The real number system 74 3.
3 Adding and subtracting fractions 80 3.4 Multiplying and dividing fractions 88 3.5 Terminating and recurring decimals 93 3.6 Adding and subtracting decimals 97 3.7 Multiplying and dividing decimals 102 3.8 Estimation 107 3.9 Review 114 Answers 121 4 Applications of percentages 127 4.1 Overview 128 4.
2 Percentages 130 4.3 Finding percentages of an amount 136 4.4 Discount 142 4.5 Profit and loss 148 4.6 Goods and Services Tax (GST) and Income Tax 155 4.7 Review 162 Answers 168 5 Ratios and rates 171 5.1 Overview 172 5.2 Introduction to ratios 174 5.
3 Simplifying ratios 181 5.4 Proportion 189 5.5 Comparing ratios 195 5.6 Dividing in a given ratio 199 5.7 Rates 205 5.8 Interpreting graphs 210 5.9 Review 219 Answers 225 6 Congruence 231 6.1 Overview 232 6.
2 Transformations and tessellations 236 6.3 Congruent figures 254 6.4 Triangle constructions and objects in 3D 262 6.5 Congruent triangles and similar shapes 270 6.6 Quadrilaterals 287 6.7 Review 295 Answers 302 Semester review 1 312 7 Algebra 315 7.1 Overview 316 7.2 Using pronumerals 318 7.
3 Substitution 323 7.4 Substituting positive and negative numbers 328 7.5 Number laws 331 7.6 Adding and subtracting terms 337 7.7 Multiplying and dividing terms 341 7.8 Expanding brackets 348 7.9 Factorising 353 7.10 Review 357 Answers 363 8 Measurement 369 8.
1 Overview 370 8.2 Length and perimeter 373 8.3 Circumference 381 8.4 Areas of rectangles, triangles, parallelograms, rhombuses and kites 390 8.5 Areas of circles 403 8.6 Areas of trapeziums 409 8.7 Volumes of prisms and other solids 414 8.8 Time 421 8.
9 24-hour clocks and time zones 427 8.10 Review 436 Answers 445 9 Linear equations 451 9.1 Overview 452 9.2 Backtracking and inverse operations 454 9.3 Keeping equations balanced 459 9.4 Solving linear equations and inequations 463 9.5 Equations with the unknown on both sides 473 9.6 Review 479 Answers 485 10 Representing and interpreting data 489 10.
1 Overview 490 10.2 Data collection methods 493 10.3 Primary and secondary data 504 10.4 Organising and displaying data 513 10.5 Measures of centre and spread 523 10.6 Analysing data 538 10.7 Review 546 Answers 552 11 Probability 561 11.1 Overview 562 11.
2 Experimental probability 565 11.3 Probability scale 573 11.4 Sample spaces and theoretical probability 577 11.5 Complementary events 585 11.6 Venn diagrams and two-way tables 590 11.7 Tree diagrams 603 11.8 Review 612 Answers 618 12 Coordinates and linear graphs 627 12.1 Overview 628 12.
2 The Cartesian plane 631 12.3 Linear patterns 638 12.4 Plotting linear graphs 645 12.5 Determining the rule for a linear relationship 651 12.6 Sketching linear graphs (extending) 666 12.7 Solving equations graphically 671 12.8 Non-linear graphs 680 12.9 Review 687 Answers 694 13 Pythagoras'' theorem 715 13.
1 Overview 716 13.2 Pythagoras'' theorem 719 13.3 Calculating shorter side lengths 726 13.4 Applying Pythagoras'' theorem 730 13.5 Pythagorean triads 736 13.6 Review 740 Answers 745 Semester review 2 748 14 Algorithmic thinking 14.1 Overview 14.2 Expressions 14.
3 Decisions 14.4 Functions 14.5 Testing 14.6 Debugging 14.7 Review Answers Glossary 750 Index 755.