Author(s): Gregory K. Powers
Publisher: Cambridge University Press
Year: 2019
Language: English
Pages: 312
City: Port Melbourne, Victoria
Tags: HSC
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
