# Jacaranda Maths Quest 11 General Mathematics Units 1&2 for Queensland eBookPLUS & Print + StudyOn General Mathematics Units 1&2 for Qld (Book Code)

Author(s): |
Morris |

ISBN: |
9780730365617 |

Pub date: |
November 2018 |

RRP: |
$89.95 |

**Jacaranda Maths Quest 11 General Mathematics Units 1 & 2 for Queensland Print & eBookPLUS + studyON**

This combined print and digital title is designed to help teachers unpack the new curriculum and help students at the point of learning, so that every student can experience success in the classroom, at home and thus ultimately in the exam.

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.

The latest editions from the Jacaranda Maths Quest for Queensland series include these key updates:

• Inclusion of important language to help frame question sets such as Simple Familiar, Complex Familiar and Complex Unfamiliar

• New assessment practice sections designed as per QCAA guidelines and samples, including Problem Solving and Modelling Tasks

• New chapter questions and activities are aligned with Marzano and Kendall’s new taxonomy: 4 levels of cognitive process – retrieval, comprehension, analysis and knowledge

• Jacaranda’s unique exam preparation tool, studyON, is now included free and fully integrated to help prepare students for their exams

• Provides an unmatched interactive learning experience, through a variety of new interactivities to help students understand challenging concepts

• Free online Fully Worked Solutions with every student text

• Exam practice questions included in every chapter

**EXCLUSIVE OFFER: Get four eBookPLUS and four studyON activation codes free in every print text!**

About this resource ix

About eBookPLUS and studyON xii

Acknowledgements xiii

**Unit 1 Money, Measurement and Relations 1**

**1 Consumer arithmetic 1 1**

1.1 Overview 1

1.2 Rates and percentages 2

1.3 Wages 7

1.4 Earning wages 10

1.5 Working overtime 13

1.6 Earnings — commission and piecework 17

1.7 Payments — government allowances and pensions 23

1.8 Personal budgets 26

1.9 Review: exam practice 31

Answers 36

**2 Consumer arithmetic 2 42**

2.1 Overview 42

2.2 Unit cost

2.3 Mark-ups and discounts 46

2.4 Goods and services tax (GST) 50

2.5 Profit and loss 53

2.6 Simple interest 57

2.7 Compound interest and inflation on costs 61

2.8 Exchange rates 65

2.9 Dividends 67

2.10 Review: exam practice 72

Answers 75

Topic 1 Consumer arithmetic 80

Practice Assessment 1 Problem solving and modelling task 81

**3 Pythagoras’ theorem and mensuration 84**

3.1 Overview 84

3.2 Pythagoras’ theorem in two dimensions 85

3.3 Pythagoras’ theorem in three dimensions 90

3.4 Perimeter and area I 95

3.5 Perimeter and area II 101

3.6 Volume and capacity 109

3.7 Surface area of three-dimensional objects 118

3.8 Review: exam practice 127

Answers 131

**4 Similar figures and scale factors 133**

4.1 Overview 133

4.2 Similarity of two-dimensional figures 134

4.3 Linear scale factors 142

4.4 Scale drawings — maps and plans 150

4.5 Area and volume scale factors156

4.6 Review: exam practice 161

Answers 168

Topic 2 Shape and measurement 171

**5 Linear equations 172**

5.1 Overview 172

5.2 Linear patterns 173

5.3 Solving simple linear equations 178

5.4 Solving further linear equations 180

5.5 Developing linear equations 185

5.6 Review: exam practice 190

Answers 194

**6 Straight-line graphs and their applications 198**

6.1 Overview 198

6.2 Constructing straight line graphs 199

6.3 Determine and interpret the slope and intercepts of straight line graphs 215

6.4 Modelling practical situtions with straight line graphs 227

6.5 Review: exam practice 235

Answers 240

**7 Simultaneous equations and their applications 247**

7.1 Overview 247

7.2 Solving simultaneous linear equations graphically 248

7.3 Solving simultaneous equations algebraically 256

7.4 Solving practical problems using simultaneous equations 261

7.5 Piecewise linear graphs and step graphs 269

7.6 Review: exam practice 281

Answers 286

Topic 3 Linear equations and their graphs 291

**Unit 2 Applied Trigonometry, Algebra, Matrices and Univariate Data 299**

**8 Applications of trigonometry 299**

8.1 Overview 299

8.2 Review of trigonometric ratios 300

8.3 Applications of trigonometric ratios 304

8.4 Area of triangles 318

8.5 Angles of elevation and depression 323

8.6 The sine rule 328

8.7 The cosine rule 335

8.8 True bearings 341

8.9 Review: exam practice 346

Answers 351

Topic 1 Applications of trigonometry 354

**9 Linear and non-linear relationships 355**

9.1 Overview 355

9.2 Substitution 356

9.3 Formulas 360

9.4 Transposition 365

9.5 Review: exam practice 368

**10 Matrices and matrix arithmetic 373**

10.1 Overview 373

10.2 Types of matrices 374

10.3 Operations with matrices 384

10.4 Matrix multiplication 389

10.5 Applications of matrices 401

10.6 Review: exam practice 406

Answers 411

Topic 2 Algebra and matrices 416

**11 Univariate data analysis 417**

11.1 Overview 417

11.2 Classifying and displaying data 418

11.3 Construct, describe and interpret dot plots and stem and leaf plots 429

11.4 Construct, describe and interpret column graphs and histograms 435

11.5 Measures of centre 441

11.6 Measures of spread 452

11.7 Review: exam practice 461

Answers 466

**12 Univariate data comparisons 480**

12.1 Overview 480

12.2 Constructing boxplots 481

12.3 Outliers and fences 486

12.4 Parallel box plots 490

12.5 Review: exam practice 497

Answers 503

Topic 3 Univariate data analysis 508

Practice Assessment 3 Unit 2 examination 509

Practice Assessment 4 Units 1 & 2 examination 517

Glossary 527

Index 531