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# Maths Quest 8 for Victoria Australian Curriculum Edition & LearnON

Author/s Smith 9780730311850 October 2014 592 \$69.95

This 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.

KEY FEATURES

Worked solutions available to students and teachers for every problem solving and reasoning question.
• An enhanced emphasis on both problem solving & reasoning, creating greater understanding of both mathematical concepts and skills.
Assessment material incorporating both AusVELS Progression Points and the Australian Curriculum Achievement Standards.
• Improvements to student engagement, with enhanced Individual Pathway activities, new interactivities and new videos telling the Story of Mathematics.
• Newly designed CAS calculator companions containing instructions & worked examples for both the Ti-Nspire & Casio Classpad.

Overview viii
Acknowledgements x

NUMERACY
Topic 1 Numeracy 1 2
1.1 Overview 2
1.2 Set A 4
1.3 Set B 9

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

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
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

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
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

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
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

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

NUMERACY
Topic 9 Numeracy 2 258
9.1 Overview 258
9.2 Set C 260
9.3 Set D 266

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
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

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
Exercise 12.6 405
12.7 Analysing data 408
Exercise 12.7 411
12.8 Review ONLINE ONLY 415
eBookPLUS activities 419
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

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

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
Exercise 15.7 550
15.8 Pythagoras in 3-D 551
Exercise 15.8 553
15.9 Review ONLINE ONLY 555
eBookPLUS activities 559
NUMERACY

Topic 16 Numeracy 3 562
16.1 Overview 562
16.2 Set E 564
16.3 Set F 568

Glossary 575
Index

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