Table of Contents

About eBookPlus v Chapter 1 ? Credit and borrowing 1 Exercise 1A ? Credit cards 1 Exercise 1B ? Flat rate interest 3 Exercise 1C ? Loan repayments 6 Exercise 1D ? Present value and future value 8 Chapter review 11 Multiple choice 11 Short answer 11 Extended response 15 Chapter 2 ? Annuities and loan repayments 17 Exercise 2A ? Future value of an annuity 17 Exercise 2B ? Present value of an annuity 18 Exercise 2C ? Loan repayments 19 Exercise 2D ? Loan repayment graphs 23 Chapter review 24 Multiple choice 24 Short answer 25 Extended response 26 Chapter 3 ? Interpreting sets of data 27 Exercise 3A ? Grouped data 27 Exercise 3B ? Measures of location and spread 29 Exercise 3C ? Analysis of data sets 31 Exercise 3D ? Comparison of data sets 33 Exercise 3E ? Skewness 35 Chapter review 35 Multiple choice 35 Short answer 35 Extended response 39 Chapter 4 ? The normal distribution 41 Exercise 4A ? z-scores 41 Exercise 4B ? Comparison of scores 44 Exercise 4C ? Distribution of scores 46 Chapter review 48 Multiple choice 48 Short answer 49 Extended response 51 Chapter 5 ? Sampling and populations 53 Exercise 5A ? Sampling 53 Exercise 5B ? Samples and means 53 Exercise 5C ? Estimating populations 54 Chapter review 56 Multiple choice 56 Short answer 56 Extended response 56 Chapter 6 ? Further applications of area and volume 57 Exercise 6A ? Relative error 57 Exercise 6B ? Area of parts of the circle 59 Exercise 6C ? Area of composite shapes 60 Exercise 6D ? Simpson?s rule 66 Exercise 6E ? Surface area of some prisms 68 Exercise 6F ? Surface area of cylinders and spheres 69 Exercise 6G ? Volume of other solids 71 Exercise 6H ? Volume of composite solids 73 Exercise 6I ? Error in measurement 77 Chapter review 79 Multiple choice 79 Short answer 79 Extended response 83 Chapter 7 ? Applications of trigonometry 85 Exercise 7A ? Review of right-angled triangles 85 Exercise 7B ? Using the sine rule to find side lengths 87 Exercise 7C ? Using the sine rule to find angles 89 Exercise 7D ? Using the cosine rule to find side lengths 92 Exercise 7E ? Using the cosine rule to find angles 93 Exercise 7F ? Area of a triangle 95 Exercise 7G ? Bearings 97 Exercise 7H ? Radial surveys 102 Chapter review 108 Multiple choice 108 Short answer 109 Extended response 112 Chapter 8 ? Spherical geometry 115 Exercise 8A ? Arc lengths 115 Exercise 8B ? Great circles and small circles 116 Exercise 8C ? Latitude and longitude 117 Exercise 8D ? Distances on the Earth?s surface 118 Exercise 8E ? Time zones 119 Chapter review 121 Multiple choice 121 Short answer 121 Extended response 122 Chapter 9 ? Multi-stage events and applications of probability 125 Exercise 9A ? Counting techniques 125 Exercise 9B ? Tree diagrams 126 Exercise 9C ? Probability and counting techniques 129 Exercise 9D ? Expected outcomes 132 Chapter review 134 Multiple choice 134 Short answer 134 Extended response 136 Chapter 10 ? Further algebraic skills and techniques 137 Exercise 10A ? Addition and subtraction of algebraic expressions 137 Exercise 10B ? The index laws 138 Exercise 10C ? Expanding and simplifying 140 Exercise 10D ? Solving equations 141 Exercise 10E ? Equations and formulas 149 Chapter review 151 Multiple choice 151 Short answer 152 Extended response 153 Chapter 11 ? Modelling linear relationships 155 Exercise 11A ? Linear functions 155 Exercise 11B ? Direct variation 158 Exercise 11C ? Linear modelling 159 Exercise 11D ? Problem solving 161 Exercise 11E ? Simultaneous equations 164 Chapter review solutions 168 Multiple choice 168 Short answer 168 Extended response 170 Chapter 12 ? Modelling non-linear relationships 171 Exercise 12A ? Quadratic functions 171 Exercise 12B ? Cubics, hyperbolas and exponential functions 174 Exercise 12C ? Direct variation 176 Exercise 12D ? Inverse variation 178 Exercise 12E ? Graphing physical phenomena 181 Chapter review 183 Multiple choice 183 Short answer 183 Extended response 185 Chapter 13 ? Mathematics and health 187 Exercise 13A ? Drawing scatterplots 187 Exercise 13B ? Correlation 189 Exercise 13C ? Fitting a regression line 190 Exercise 13D ? Units of measurement 192 Exercise 13E ? Dosage rate 193 Exercise 13F ? Life expectancy 196 Chapter review 197 Multiple choice 197 Short answer 197 Extended response 198 Chapter 14 ? Mathematics and resources 199 Exercise 14A ? Interpreting information about water usage 199 Exercise 14B ? Collecting and using water 201 Exercise 14C ? Dams, land and catchment areas 202 Exercise 14D ? Energy and sustainability 203 Chapter review 205 Multiple choice 205 Short answer 205 Extended response 207