Maths Quest for Queensland Senior Series

Learning with learnON vii

Teaching with Learnon xiii

Acknowledgements xiv

Unit 1 Number, Data and Money 1

Topic Fundamental Topic

1 Calculations 3

1.1 Overview 4

1.2 Number operations 5

1.3 Order of operations and reasonableness 15

1.4 Estimation 21

1.5 Decimal significance 26

1.6 Calculator skills 32

1.7 Approximation 36

1.8 Review 43

Answers 47

Topic 1 Number

2 Ratios 51

2.1 Overview 52

2.2 Introduction to ratios 53

2.3 Ratios of two quantities 61

2.4 Divide into ratios [complex] 71

2.5 Scales, diagrams and maps [complex] 80

2.6 Review 87

Answers 91

3 Rates 93

3.1 Overview 94

3.2 Identifying rates 95

3.3 Conversion of rates 100

3.4 Calculation with rates involving direct proportion [complex] 105

3.5 Comparison of rates 110

3.6 Rates and costs 114

3.7 Review 125

Answers 128

4 Percentages 131

4.1 Overview 132

4.2 Calculating percentages 133

4.3 Express as a percentage 141

4.4 Percentage increase and decrease [complex] 146

4.5 Real-world application of percentages — Simple interest [complex] 154

4.6 Review 159

Answers 162

5 Units of energy 165

5.1 Overview 166

5.2 Units of energy 167

5.3 Energy in food 173

5.4 Energy in activities 182

5.5 Energy consumption 189

5.6 Review 194

Answers 198

Topic 2 Representing Data

6 Data classification, presentation and interpretation 201

6.1 Overview 202

6.2 Classifying data 203

6.3 Categorical data 207

6.4 Numerical data 223

6.5 Recognising and identifying outliers 237

6.6 Comparing different data [complex] 240

6.7 Review 247

Answers 253

Practice Assessment 1

Problem-solving and modelling task guide

Topic 3 Managing Money

7 Earning money 261

7.1 Overview 262

7.2 Salary, wages and overtime 263

7.3 Income payments — commission, piecework and royalties 271

7.4 Convert between different pay periods [complex] 276

7.5 Personal taxation, PAYG and employee superannuation 280

7.6 Determining PAYG tax using tax tables [complex] 288

7.7 Determining taxable income by applying tax deductions [complex] 294

7.8 Calculating simple tax returns [complex] 297

7.9 Review 307

Answers 311

8 Budgeting [complex] 315

8.1 Overview 316

8.2 Products and services 317

8.3 Rent and utility costs 325

8.4 Car expenses 336

8.5 Personal budget plan 343

8.6 Review 351

Answers 355

Practice Assessment 2

Unit 1 Examination

11.5 Misleading graphs [complex] 445

11.6 Review 455

Answers 462

12 Drawing and using graphs 465

12.1 Overview 466

12.2 Drawing and using line graphs [complex] 467

12.3 Drawing and using column graphs and pie graphs 477

12.4 Graphing with technology [complex] 488

12.5 Review 499

Answers 504

Topic 3 Time and Motion

Unit 2 Data and Travel 359

Topic 1 Data Collection

9 Census, surveys and simple survey procedures 361

9.1 Overview 362

9.2 Investigating a census 363

9.3 Sampling methods – advantages and disadvantages [complex] 367

9.4 Target population 375

9.5 Investigating questionnaire design principles [complex] 377

9.6 Review 385

Answers 388

10 Sources of bias 391

10.1 Overview 392

10.2 Faults in collecting data 393

10.3 Investigating possible misrepresentation of results [complex] 397

10.4 Investigating errors and misrepresentation in surveys [complex] 401

10.5 Review 408

Answers 412

13 Time 511

13.1 Overview 512

13.2 Representing and calculating time and time intervals 513

13.3 Interpreting timetables 521

13.4 Interpreting complex timetables and planning routes [complex] 529

13.5 Compare travel time 536

13.6 Review 548

Answers 557

14 Distance and speed 561

14.1 Overview 562

14.2 Distance, scales and maps 563

14.3 Investigate distances and directions [complex] 569

14.4 Calculating speed, distance and time, and their units 578

14.5 Distance-time graph and cost of the journey [complex] 585

14.6 Review 598

Answers 602

Topic 2 Graphs

11 Reading, interpreting and using graphs 415

11.1 Overview 416

11.2 Two-way tables 417

11.3 Line graphs, pie graphs and step graphs 422

11.4 Column graphs and picture graphs 436

Practice Assessment 3

Problem-solving and modelling task

Practice Assessment 4

Unit 2 Examination

Glossary 605

Authors: Mark Barnes

Format: Paperback

Pages: 624

ISBN-13: 9781394269587

Publication date: 20240926