Jacaranda Maths Quest Mathematics Standard 11

Overview vii

Acknowledgements ix

1 Formulae and equations 1

1.1 Overview 1

1.2 Evaluating expressions 2

1.3 Linear equations 8

1.4 Blood alcohol content 13

1.5 Medication dosages 16

1.6 Review 19

Answers 24

2 Linear relationships 29

2.1 Overview 29

2.2 Direct variation 30

2.3 The gradient and intercepts 36

2.4 Sketching linear graphs 46

2.5 Linear models 50

2.6 Review 57

Answers 63

3 Practicalities of measurement 79

3.1 Overview 79

3.2 Units of measurement 80

3.3 Limits of accuracy 87

3.4 Scientific notation 93

3.5 Review 99

Answers 104

4 Perimeter and area 109

4.1 Overview 109

4.2 Perimeter 1 110

4.3 Perimeter 2 115

4.4 Area 1 121

4.5 Area 2 127

4.6 Applications of Pythagoras’ theorem 132

4.7 Irregularly shaped blocks of land 139

4.8 Review 148

Answers 156

5 Surface area and volume 163

5.1 Overview 163

5.2 Surface area 1 164

5.3 Surface area 2 171

5.4 Volume 1 176

5.5 Volume 2 182

5.6 Review 185

Answers 190

6 Units of energy and mass 195

6.1 Overview 195

6.2 Units of mass and energy 196

6.3 Food and nutrition 201

6.4 Energy expended in activities 209

6.5 Energy consumption 215

6.6 Review 219

Answers 225

7 Working with time 229

7.1 Overview 229

7.2 Time and timetables 230

7.3 Positions on the Earth’s surface 239

7.4 Time zones 241

7.5 Review 248

Answers 252

8 Interest and depreciation 255

8.1 Overview 255

8.2 Percentage increase or decrease 256

8.3 Simple interest 261

8.4 Applications of simple interest 266

8.5 Review 274

Answers 279

9 Earning and managing money 285

9.1 Overview 285

9.2 Getting paid 286

9.3 Commission, piecework and royalties 290

9.4 Taxation and deductions 294

9.5 Performing financial calculations 300

9.6 Review 307

Answers 312

10 Budgeting and household expenses 317

10.1 Overview 317

10.2 Household expenses 318

10.3 Purchasing, running and maintaining a vehicle 325

10.4 Budgeting 333

10.5 Review 340

Answers 347

11 Data Analysis: Classifying and Representing Data 353

11.1 Overview 353

11.2 Data collection methods 354

11.3 Classifying data and displaying categorical data 360

11.4 Organising and displaying data 371

11.5 Comparing data 379

11.6 Review 389

Answers 396

12 Data analysis: univariate data 407

12.1 Overview 407

12.2 Measures of central tendency 408

12.3 Measures of spread 416

12.4 Graphical distributions 425

12.5 Parallel boxplots 433

12.6 Review 439

Answers 446

13 Relative frequency and probability 453

13.1 Overview 453

13.2 Theoretical probability 454

13.3 Multi-stage experiments 458

13.4 Experimental probability 464

13.5 Review 472

Answers 476

Glossary 485

Index  491