Cambridge HSC General Mathematics

Introduction; 1; Credit and borrowing; 1.1 Flat rate loans; 1.2 Home loan repayments; 1.3 Comparing loans; 1.4 Credit cards; 1.5 Reducing balance loans; 2; Further applications of area and volume; 2.1 Areas of circles annuluses and sectors; 2.2 Areas of ellipses; 2.3 Area of composite solids; 2.4 Simpson's rule; 2.5 Surface area of cylinders and spheres; 2.6 Volume of composite solids; 2.7 Errors in measurement; 3; Algebraic skills and techniques; 3.1 Substitution and evaluation; 3.2 Adding and subtracting like terms; 3.3 Multiplying and dividing algebraic terms; 3.4 Equations; 3.5 Solving equations after substitution; 3.6 Changing the subject of formula; 3.7 Scientific notation; 4; Interpreting sets of data; 4.1 Mean; 4.2 Median; 4.3 Measures of spread; 4.4 Judgements about the data; 4.5 Stem-and-leaf plots; 4.6 Box-and whisker plots; 4.7 Radar charts and area charts; 4.8 Comparing summary statistics; 5; Applications of trigonometry; 5.1 Right-angled trigonometry; 5.2 Bearings; 5.3 Trigonometry with obtuse angles; 5.4 The sine rule; 5.5 Area of a triangle; 5.6 The cosine rule; 5.7 Problems involving non right triangles; 5.8 Surveys; 6; Multi-stage events; 6.1 Tree diagrams; 6.2 The fundamental counting principle; 6.3 Ordered selections; 6.4 Unordered selections; 6.5 Probability trees Product rule; 6.6 Probability trees Addition rule; 7; Annuities and loan repayments; 7.1 Future value of an annuity; 7.2 Present value of an annuity; 7.3 Using tables with annuity problems; 7.4 Loan repayments; 8; The normal distribution; 8.1 z-scores; 8.2 Properties of a normal distribution; 8.3 Normal distribution and z-scores; 9; Modelling linear and non-linear relationships; 9.1 Linear functions; 9.2 Quadratic functions; 9.3 Cubic exponential and hyperbolic functions; 9.4 Direct proportion; 9.5 Inverse proportion; 9.6 Modelling; 10; Spherical geometry; 10.1 Arc lengths of a circle; 10.2 Latitude and longitude; 10.3 Distances along great circles; 10.4 Distances along small circles; 10.5 Time differences and longitude; 10.6 Time zones; 11; Applications of probability; 11.1 Expected outcomes; 11.2 Financial expectation; 11.3 Probability simulations; 11.4 Two-way tables; 12; Depreciation; 12.1 Modelling depreciation; 12.2 Straight line depreciation; 12.3 Declining balance depreciation; 12.4 Depreciation tables and graphs; 12.5 Calculating tax deductions; 13—Correlation; 13.1 Scatterplots; 13.2 Lines of fit; 13.3 Median regression line; 13.4 Correlation coefficient; Diagnostic tests; HSC Formula Sheet; Glossary; Answers.