# Jacaranda Maths Quest 12 Mathematics Standard 2 5E for NSW eBookPLUS & Print

 Author(s): Roland ISBN: 9780730356219 Pub date: September 2018 RRP: \$80

Jacaranda Maths Quest 12 Mathematics Standard 2 for NSW 5e Print & eBookPLUS

This combined print and digital title has been rewritten to provide 100% coverage of the new Mathematics Standard Stage 6 Syllabus. Designed to help teachers unpack the Syllabus and help students at the point of learning, so every student can experience success in the classroom, at home and thus ultimately in the exam.

The new edition of Jacaranda Maths Quest 12 Mathematics Standard 2 for NSW includes these key updates:

• Developed from the ground up, every single word from the curriculum is explicitly covered so teachers can make clear links back to the Syllabus
• Provides an unmatched interactive learning experience with 1000s of new questions and many new interactivities
• Fully worked solutions for every question, available at no extra cost, provide instant feedback to help prevent the creation of misconceptions
• Powerful visuals to help with conceptual understanding and simple language ensure the text is appropriate for the learner
• Each topic contains a summary of all of the key learning points as well as two topic-level exercises comprised of 30+ questions

An access code for the eBookPLUS comes free on the inside cover of your printed text, so you can make the most of both the print and digital formats.

Overview viii

Acknowledgements x

1 Simultaneous linear equations 1

1.1 Overview 1

1.2 Review of linear equations 2

1.3 Graphing linear equations 7

1.4 Simultaneous linear equations 14

1.5 Review 22

2 Non-linear relationships 41

2.1 Overview 41

2.2 Exponential functions 42

2.4 Reciprocal functions 70

2.5 Review 83

3 Non-right-angled trigonometry 99

3.1 Overview 99

3.2 Review of trigonometric ratios 100

3.3 The sine rule 108

3.4 The cosine rule 112

3.5 Area of a triangle 118

3.7 Angles of elevation and depression 131

3.8 Applications to practical problems 137

3.10 Review 146

4 Rates and ratios 156

4.1 Overview 156

4.2 Working with rates 157

4.3 Household appliances 164

4.4 Working with ratios 168

4.5 Building plans and elevation views 173

4.6 Sections of land 181

4.7 Review 193

5 Investments 205

5.1 Overview 205

5.2 Applications of simple interest 206

5.3 Compound interest 211

5.4 Comparing investments and compounding problems 219

5.5 Shares 227

5.6 Review 234

6 Depreciation and loans 247

6.1 Overview 247

6.2 The declining-balance method of depreciation 248

6.3 Reducing balance loans 253

6.4 Credit cards 261

6.5 Review 275

7 Annuities 287

7.1 Overview 287

7.2 Introduction to annuities 288

7.3 Using recurrence relations to model annuities 293

7.4 Annuity calculations 302

7.5 Review 309

8 Bivariate data analysis 318

8.1 Overview 318

8.2 Scatterplots 319

8.3 Lines of best fit 328

8.4 The statistical investigation process 342

8.5 Review 352

9 The normal distribution 372

9.1 Overview 372

9.2 The bell curve 373

9.3 z-scores 380

9.4 Using normal distributions 386

9.5 Review 399

10 Networks and shortest paths 407

10.1 Overview 407

10.2 Solving problems with networks 408

10.3 Weighted networks and shortest paths 422

10.4 Minimum spanning trees 434

10.5 Review 447

11 Critical path analysis 466

11.1 Overview 466

11.2 Critical paths 467

11.3 Critical path analysis with backward scanning 478

11.4 Network flow 486

11.5 Review 499