# Maths Quest HSC Mathematics General 2 4E & eBookPLUS

Author/s |
Rowland |
---|---|

ISBN13 | 9781118606599 |

Pub date | September 2013 |

Pages | 448 |

RRP | $84.95 |

Introduction vi

About eBookPLUS viii

Acknowledgements ix

CHAPTER 1 Credit and borrowing 1

1A Credit cards 1

Exercise 1A 5

1B Flat rate interest 7

Exercise 1B 9

1C Loan repayments 11

Exercise 1C 14

1D Present value and future

value 16

Exercise 1D 18

Summary 20

Chapter review 21

ICT activities 24

Answers 25

CHAPTER 2 Annuities and loan repayments 27

2A Future value of an annuity 27

Exercise 2A 31

2B Present value of an annuity 32

Exercise 2B 35

2C Loan repayments 36

Exercise 2C 38

2D Loan repayment graphs 40

Exercise 2D 40

Summary 43

Chapter review 44

ICT activities 46

Answers 47

CHAPTER 3 Interpreting sets of data 49

3A Grouped data 49

Exercise 3A 52

3B Measures of location and spread 54

Exercise 3B 57

3C Analysis of data sets 59

Exercise 3C 65

3D Comparison of data sets 69

Exercise 3D 72

3E Skewness 76

Exercise 3E 77

Summary 81

Chapter review 82

ICT activities 88

Answers 89

CHAPTER 4 The normal distribution 95

4A z -scores 95

Exercise 4A 98

4B Comparison of scores 100

Exercise 4B 101

4C Distribution of scores 103

Exercise 4C 105

Summary 108

Chapter review 109

ICT activities 113

Answers 114

CHAPTER 5 Sampling and populations 115

5A Sampling 115

Exercise 5A 116

5B Samples and means 118

Exercise 5B 118

5C Estimating populations 120

Exercise 5C 121

Summary 123

Chapter review 124

ICT activities 126

Answers 127

CHAPTER 6 Further applications of area and volume 129

6A Relative error 129

Exercise 6A 131

6B Area of parts of the circle 133

Exercise 6B 134

6C Area of composite shapes 136

Exercise 6C 138

6D Simpson’s rule 141

Exercise 6D 143

6E Surface area of some prisms 146

Exercise 6E 147

6F Surface area of cylinders and spheres 149

Exercise 6F 151

6G Volume of pyramids, cones and spheres 153

Exercise 6G 155

6H Volume of composite solids 157

Exercise 6H 159

6I Error in measurement 163

Exercise 6I 164

Summary 167

Chapter review 168

ICT activities 173

Answers 174

CHAPTER 7 Applications of trigonometry 177

7A Review of right-angled triangles 177

Exercise 7A 182

7B Using the sine rule to find side lengths 183

Exercise 7B 187

7C Using the sine rule to find angles 189

Exercise 7C 191

7D Using the cosine rule to find side lengths 193

Exercise 7D 196

7E Using the cosine rule to find angles 197

Exercise 7E 200

7F Area of a triangle 202

Exercise 7F 204

7G Bearings 206

Exercise 7G 210

7H Radial surveys 213

Exercise 7H 216

Summary 219

Chapter review 221

ICT activities 225

Answers 226

CHAPTER 8 Spherical geometry 229

8A Arc lengths 229

Exercise 8A 230

8B Great circles and small circles 233

Exercise 8B 234

8C Latitude and longitude 237

Exercise 8C 239

8D Distances on the Earth’s surface 240

Exercise 8D 242

8E Time zones 243

Exercise 8E 245

Summary 248

Chapter review 249

ICT activities 253

Answers 254

CHAPTER 9 Multi-stage events and applications of probability 257

9A Counting techniques 257

Exercise 9A 260

9B Tree diagrams 261

Exercise 9B 263

9C Probability and counting techniques 265

Exercise 9C 266

9D Expected outcomes 268

Exercise 9D 269

Summary 272

Chapter review 273

ICT activities 276

Answers 277

CHAPTER 10 Further algebraic skills and techniques 279

10A Addition and subtraction of algebraic expressions 279

Exercise 10A 280

10B The index laws 281

Exercise 10B 283

10C Expanding and simplifying 285

Exercise 10C 285

10D Solving equations 286

Exercise 10D 287

10E Equations and formulas 290

Exercise 10E 291

Summary 294

Chapter review 295

ICT activities 297

Answers 298

CHAPTER 11 Modelling linear relationships 301

11A Linear functions 301

Exercise 11A 305

11B Direct variation 307

Exercise 11B 308

11C Linear modelling 310

Exercise 11C 311

11D Problem solving 313

Exercise 11D 314

11E Simultaneous equations 315

Exercise 11E 318

Summary 321

Chapter review 322

ICT activities 324

Answers 325

CHAPTER 12 Modelling non-linear relationships 329

12A Quadratic functions 329

Exercise 12A 332

12B Cubics, hyperbolas and exponential

functions 334

Exercise 12B 336

12C Direct variation 337

Exercise 12C 340

12D Inverse variation 341

Exercise 12D 343

12E Graphing physical phenomena 345

Exercise 12E 347

Summary 350

Chapter review 351

ICT activities 354

Answers 355

CHAPTER 13 Mathematics and health 361

Body measurements 361

13A Drawing scatterplots 361

Exercise 13A 366

13B Correlation 370

Exercise 13B 374

13C Fitting a regression line 377

Exercise 13C 379

Medication 382

13D Units of measurement 382

Exercise 13D 383

13E Dosage rate 384

Exercise 13E 385

Life expectancy 386

13F Life expectancy 386

Exercise 13F 387

Summary 391

Chapter review 393

ICT activities 396

Answers 397

ICT activities — Projectsplus

pro-0152 Life expectancy 402

CHAPTER 14 Mathematics and resources 405

14A Interpreting information about water usage 405

Exercise 14A 409

14B Collecting and using water 412

Exercise 14B 414

14C Dams, land and catchment areas 415

Exercise 14C 417

14D Energy and sustainability 421

Exercise 14D 423

Summary 426

Chapter review 427

ICT activities 430

Answers 431

ICT ACTIVITIES — PROJECTSPLUS

pro-0152 Water catchment 432

Glossary 435

Index 437