# Maths Quest Preliminary Mathematics General 4E Solutions Manual Flexisaver & eBookPLUS

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

ISBN13 | 9781118511756 |

Pub date | November 2012 |

Pages | 160 |

RRP | $44.95 |

**Shrink-wrapped, looseleaf textbook for student binder + eBookPLUS**

Available for select titles in 2012,

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**Maths Quest Preliminary Mathematics General Fourth Edition** is written for the NEW Mathematics General Stage 6 Syllabus.

This text provides comprehensive coverage of the five strands: Financial Mathematics, Data and Statistics, Measurement, Probability, and Algebra and Modelling. It also covers the two Focus Studies: Mathematics and Communication, and Mathematics and Driving.

The Preliminary Mathematics General course is structured to prepare students for pathways to both the HSC Mathematics General 1 course and the HSC Mathematics General 2 course.

In this text, students are encouraged to understand and experience the application of mathematics in the world, to appreciate the beauty and wonder of mathematics, and to realise the possibilities for their own lives and careers that the study of mathematics can give them.

This text strives to ignite the potential in each student.

**This resource contains the following award-winning features:**

• Two major collaborative, online projects with an emphasis on the themes of the Focus Studies, delivered through ProjectsPLUS.

• Interactivities that bring concepts to life.

• Easy-to-follow worked examples in the Think–Write format.

• Carefully graded exercises that conclude with further development questions designed to extend and challenge students.

• Investigations to stimulate students’ interest and engagement.

• Comprehensive chapter reviews.

• A glossary of mathematical terms that define the terminology introduced in each topic.

• eBookPLUS references throughout to direct students and teachers to relevant online material.

** **This title features eBookPLUS: an electronic version of the textbook and a complimentary set of targeted digital resources. These flexible and engaging ICT activities are available at the

Your eBookPLUS resources include:

• the entire textbook in electronic format

• WorkSHEETS – Word documents to assist with revision and practice

• Spreadsheets

• ProjectsPLUS – two major online, collaborative projects

**JacarandaPLUS website.**Your eBookPLUS resources include:

• the entire textbook in electronic format

• WorkSHEETS – Word documents to assist with revision and practice

• Spreadsheets

• ProjectsPLUS – two major online, collaborative projects

The * Maths Quest Preliminary Mathematics General Solutions Manual 4e* contains fully worked solutions to every question in the textbook.

Click here to view

**Maths Quest Preliminary Mathematics General Fourth Edition eBookPLUS**.About eBookPLUS vii

Chapter 1 — Earning money 1

Exercise 1A — Calculating salary payments 1

Exercise 1B — Calculating wages 1

Exercise 1C — Commission and royalties 2

Exercise 1D — Payment by piece 3

Exercise 1E — Working overtime 4

Exercise 1F — Government allowances 6

Exercise 1G — Additions to and deductions from gross pay 7

Exercise 1H — Budgeting 8

Chapter review 10

Multiple choice 10

Short answer 10

Extended response 11

Chapter 2 — Investing money 13

Exercise 2A — Calculation of simple interest 13

Exercise 2B — Graphing simple interest functions 13

Exercise 2C — Calculation of compound interest 15

Exercise 2D — Calculating compound interest from a table of compounded values 18

Exercise 2E — Share dividends 19

Exercise 2F — Graphing share performance 20

Exercise 2G — Inflation and appreciation 21

Chapter review 22

Multiple choice 22

Short answer 22

Extended response 23

Chapter 3 — Taxation 25

Exercise 3A — Calculating allowable deductions 25

Exercise 3B — Taxable income 26

Exercise 3C — Medicare levy 27

Exercise 3D — Calculating tax 27

Exercise 3E — Calculating GST and VAT 30

Exercise 3F — Graphing tax functions 31

Chapter review 32

Multiple choice 32

Short answer 32

Extended response 33

Chapter 4 — Statistics and society, data collection and sampling 35

Exercise 4A — Statistical processes 35

Exercise 4B — Target populations and sampling 36

Exercise 4C — Population characteristics 37

Exercise 4D — Types of data 38

Exercise 4E — Bias 38

Chapter review 39

Multiple choice 39

Short answer 39

Extended response 39

Chapter 5 — Displaying single data sets 41

Exercise 5A — Types of graphs and stem-and-leaf plots 41

Exercise 5B — Frequency tables and cumulative frequency 41

Exercise 5C — Range and interquartile range, deciles and percentiles 44

Exercise 5D — Five-number summaries 46

Exercise 5E — Appropriate graphs and misuse of graphs 48

Chapter review 50

Multiple choice 50

Short answer 50

Extended response 51

Chapter 6 — Summary statistics 53

Exercise 6A — Calculating the mean 53

Exercise 6B — Median and mode 55

Exercise 6C — Standard deviation 57

Exercise 6D — Best summary statistics 58

Chapter review 61

Multiple choice 61

Short answer 61

Extended response 62

Chapter 7 — Measurement 65

Exercise 7A — Measurements as approximations 65

Exercise 7B — Units of measurement and scientific notation 66

Exercise 7C — Ratios 67

Exercise 7D — Rates 69

Exercise 7E — Percentage change 71

Chapter review 72

Multiple choice 72

Short answer 72

Extended response 73

Chapter 8 — Perimeter, area and volume 75

Exercise 8A — Perimeter of plane shapes 75

Exercise 8B — Area of plane shapes 77

Exercise 8C — Field diagrams 79

Exercise 8D — Applications of area 80

Exercise 8E — Volume of prisms 81

Chapter review 83

Multiple choice 83

Short answer 83

Extended response 84

Chapter 9 — Similar figures and trigonometry 85

Exercise 9A — Similar figures and scale factors 85

Exercise 9B — Solving problems using similar figures 86

Exercise 9C — Calculating trigonometric ratios 88

Exercise 9D — Finding an unknown side 88

Exercise 9E — Finding angles 90

Exercise 9F — Applications of right-angled triangles 91

Chapter review 92

Multiple choice 92

Short answer 92

Extended response 93

Chapter 10 — Probability 95

Exercise 10A — Multi-stage events 95

Exercise 10B — The fundamental counting principle 96

Exercise 10C — Probability statements 97

Exercise 10D — Relative frequency 97

Exercise 10E — Equally likely outcomes 98

Exercise 10F — The probability formula 99

Exercise 10G — Writing probabilities as decimals and percentages 101

Exercise 10H — Range of probabilities 102

Exercise 10 I — Complementary events 104

Chapter review 105

Multiple choice 105

Short answer 106

Extended response 107

Chapter 11 — Algebraic manipulation 109

Exercise 11A — Operations with algebraic expressions 109

Exercise 11B — Further multiplication and division 110

Exercise 11C — Expanding and simplifying algebraic expressions 112

Exercise 11D — Substitution 113

Exercise 11E — Solving equations 115

Chapter review 119

Multiple choice 119

Short answer 119

Extended response 120

Chapter 12 — Modelling linear relationships 121

Exercise 12A — Graphing linear functions 121

Exercise 12B — Gradient and *y*-intercept 124

Exercise 12C — Drawing graphs using gradient and intercept 125

Exercise 12D — Simultaneous equations 126

Exercise 12E — Practical applications of linear functions 127

Chapter review 128

Multiple choice 128

Short answer 128

Extended response 130

Chapter 13 — Mathematics and communication 131

Exercise 13A — Calculating costs 131

Exercise 13B — Reading a mobile phone bill 131

Exercise 13C — Phone usage 131

Exercise 13D — Choosing the best mobile phone plan for your needs 132

Exercise 13E — Units of storage 132

Exercise 13F — Digital transfer rates 133

Exercise 13G — Random selection 133

Chapter review 134

Chapter 14 — Mathematics and driving 135

Exercise 14A — Depreciation of new cars 135

Exercise 14B — Insurance and stamp duty 136

Exercise 14C — Financing your vehicle 137

Exercise 14D — Fuel costs 138

Exercise 14E — Straight line depreciation 139

Exercise 14F — Declining balance method of depreciation 139

Exercise 14G — Speed and stopping distances 141

Exercise 14H — Blood alcohol concentration (BAC) 144

Chapter review 147

Multiple choice 147

Short answer 147

Extended response 148