CambridgeMaths stage 6. Year 12, Mathematics standard 1

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Acknowledgements Introduction 1 Rates 1A Rates 1B The unitary method 1C Using rates to make comparisons 1D Speed as a rate 1E Distance–time graphs 1F Fuel consumption rate 1G Heart rate 1H Blood pressure Chapter summary Multiple-choice Short-answer 2 Networks and paths 2A Networks 2B Travelling a network 2C Drawing a network diagram 2D Eulerian and Hamiltonian walks 2E Network problems 2F Minimal spanning trees 2G Shortest path Chapter summary Multiple-choice Short-answer 3 Investments 3A Simple interest 3B Simple interest graphs 3C Compound interest – Future value 3D Compound interest – Present value 3E Compound interest graphs 3F Appreciation and inflation Chapter summary Multiple-choice Short-answer 4 Right-angled triangles 4A Pythagoras’ theorem 4B Applying Pythagoras’ theorem 4C Trigonometric ratios 4D Using the calculator in trigonometry 4E Finding an unknown side 4F Finding an unknown angle 4G Solving practical problems 4H Angles of elevation and depression 4I Compass and true bearings Chapter summary Multiple-choice Short-answer 5 Simultaneous linear equations 5A Linear functions 5B Linear models 5C Simultaneous equations – graphically 5D Simultaneous equation models 5E Break-even analysis Chapter summary Multiple-choice Short-answer Practice Paper 1 6 Further statistical analysis 6A Constructing a bivariate scatterplot 6B Using a bivariate scatterplot 6C Line of best fit 6D Interpolation and extrapolation 6E Statistical investigation Chapter summary Multiple-choice Short-answer 7 Scale drawing 7A Ratios 7B Dividing a quantity in a given ratio 7C Similarity and scale factors 7D Scale drawing 7E Plans and elevations Chapter summary Multiple-choice Short-answer 8 Depreciation and loans 8A Declining-balance depreciation 8B Reducing-balance loans 8C Credit cards 8D Credit card statements 8E Fees and charges for credit card usage Chapter summary Multiple-choice Short-answer 9 Graphs of practical situations 9A Graphs of exponential functions 9B Exponential models 9C Quadratic functions 9D Quadratic models 9E Graphs of reciprocal functions 9F Reciprocal models 9G Miscellaneous problems Chapter summary Multiple-choice Short-answer Practice Paper 2 Reference Sheet Glossary Answers Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Practice Paper 1 Chapter 6 Chapter 8 Chapter 9 Practice Paper 2