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

Maths Quest Preliminary Mathematics General 4E Solutions Manual Flexisaver & eBookPLUS
Title information
Author/s
Rowland
ISBN13 9781118511756
Pub date November 2012
Pages 160
RRP $44.95
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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

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Maths Quest Preliminary Mathematics General 4E & eBookPLUS

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