# MathsQuest 11 General Mathematics: VCE Units 1 and 2 & eBookPLUS + StudyOn VCE

ISBN: 978-0-730-32318-1

Dec 2015, Jacaranda

624 pages

Select type: Hardcover

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Introduction vii

Acknowledgements xi

Topic 1 Linear relations and equations 2

1.1 Kick off with CAS 3

1.2 Linear relations 4

1.3 Solving linear equations 9

1.4 Developing linear equations 14

1.5 Simultaneous linear equations 21

1.6 Problem solving with simultaneous equations 29

1.7 Review 37

Topic 2 Computation and practical arithmetic 42

2.1 Kick off with CAS 43

2.2 Computation methods 44

2.3 Orders of magnitude 55

2.4 Ratio, rates and percentages 62

2.5 Review 71

Topic 3 Financial arithmetic 74

3.1 Kick off with CAS 75

3.2 Percentage change 76

3.3 Financial applications of ratios and percentages 81

3.4 Simple interest applications 88

3.5 Compound interest applications 96

3.7 Review 111

Topic 4 Matrices 116

4.1 Kick off with CAS 117

4.2 Types of matrices 118

4.3 Operations with matrices 128

4.4 Matrix multiplication 132

4.5 Inverse matrices and problem solving with matrices 141

4.6 Review 154

Topic 5 Graphs and networks 160

5.1 Kick off with CAS 161

5.2 Definitions and terms 162

5.3 Planar graphs 176

5.4 Connected graphs 184

5.5 Weighted graphs and trees 192

5.6 Review 201

Topic 6 Sequences 210

6.1 Kick off with CAS 211

6.2 Arithmetic sequences 212

6.3 Geometric sequences 225

6.4 Recurrence relations 236

6.5 Review 245

Topic 7 Shape and measurement 250

7.1 Kick off with CAS 251

7.2 Pythagoras’ theorem 252

7.3 Perimeter and area I 261

7.4 Perimeter and area II 267

7.5 Volume 274

7.6 Surface area 284

7.7 Review 293

Topic 8 Similarity 298

8.1 Kick off with CAS 299

8.2 Similar objects 300

8.3 Linear scale factors 307

8.4 Area and volume scale factors 312

8.5 Review 317

Topic 9 Applications of trigonometry 320

9.1 Kick off with CAS321

9.2 Trigonometric ratios 322

9.3 Applications of trigonometric ratios 335

9.4 The sine rule 343

9.5 The cosine rule 349

9.6 Area of triangles 354

9.7 Review 360

Topic 10 Linear graphs and models 362

10.1 Kick off with CAS 363

10.2 Linear functions and graphs 364

10.3 Linear modelling 380

10.4 Linear equations and predictions 388

10.5 Further linear applications 401

10.6 Review 414

Topic 11 Inequalities and linear programming 424

11.1 Kick off with CAS 425

11.2 Graphs of linear inequalities 426

11.3 Linear programming 435

11.4 Applications of linear programming 449

11.5 Review 468

Topic 12 Variation 476

12.1 Kick off with CAS477

12.2 Direct, inverse and joint variation 478

12.3 Data transformations 484

12.4 Data modelling 491

12.5 Review 501

Topic 13 Investigating and comparing data distributions 512

13.1 Kick off with CAS 513

13.2 Data types and displays 514

13.3 Numerical data distributions 525

13.4 Measures of centre 536

13.6 Comparing numerical distributions 553

13.7 Review 565

Topic 14 Relationships between two numerical variables 580

14.1 Kick off with CAS 581

14.2 Scatterplots and basic correlation 582

14.3 Further correlation coefficients 589

14.4 Making predictions 594

14.5 Review 601