Cambridge Preliminary General Mathematics

1. Earning money; 1.1 Salaries and wages; 1.2 Overtime and special allowances; 1.3 Annual leave loading and bonuses; 1.4 Commission; 1.5 Piecework, royalties and government; 1.6 Gross pay, net pay and wage deductions; 1.7 Financial institutions: costs; 1.8 Budgeting; 1.9 Household bills; Chapter summary and review questions; 2. Basic algebraic skills; 2.1 Linear number patterns; 2.2 Adding and subtracting like terms; 2.3 Multiplication and division of algebraic terms; 2.4 Expanding algebraic expressions; 2.5 Factorising algebraic expressions; 2.6 Substitution; 2.7 Linear equations; 2.8 Equations with fractions; 2.9 Using formulae; Chapter summary and review questions; 3. Units of measurement and applications; 3.1 Units of measurement; 3.2 Measurement errors; 3.3 Scientific notation and significant figures; 3.4 Calculations with ratios; 3.5 Rates and concentrations; 3.6 Percentage change; Chapter summary and review questions; 4. Statistics and society, data collection and sampling; 4.1 Statistical inquiry; 4.2 Classification of data; 4.3 Sample types; 4.4 The 'Capture-recapture' technique; 4.5 Designing a questionnaire; Chapter summary and review questions; 5. Language of chance; 5.1 Probability; 5.2 Sample space; 5.3 Multi-stage events; 5.4 Systematic lists; Chapter summary and review questions; 6. Modelling linear relationships; 6.1 Graphing linear functions; 6.2 Gradient and intercept; 6.3 Gradient intercept formula; 6.4 Simultaneous equations; 6.5 Linear functions as models; 6.6 Lines of best fit; Chapter summary and review questions; 7. Investing money; 7.1 Simple interest; 7.2 Simple interest graphs; 7.3 Compound interest; 7.4 Compound interest graphs; 7.5 Shares and dividends; 7.6 Using prepared tables; 7.7 Appreciation and inflation; Chapter summary and review questions; 8. Displaying single data sets; 8.1 Frequency tables; 8.2 Grouped frequency tables; 8.3 Cumulative frequency; 8.4 Range and interquartile range; 8.5 Frequency and cumulative frequency graphs; 8.6 Box-and-whisker plot; 8.7 Sector and divided bar graphs; 8.8 Radar charts; 8.9 Dot plots and stem-and-leaf plots; Chapter summary and review questions; 9. Applications of area and volume; 9.1 Area of triangles, quadrilaterals and circles; 9.2 Field diagrams; 9.3 Solid shapes; 9.4 Surface area of prisms and pyramids; 9.5 Volume of prisms and cylinders; 9.6 Volume of pyramids, cones and spheres; 9.7 Capacity; Chapter summary and review questions; 10. Relative frequency and probability; 10.1 Relative frequency; 10.2 Definition of probability; 10.3 Range of probabilities; 10.4 Complementary events; Chapter summary and review questions; 11. Taxation; 11.1 Allowable deductions; 11.2 Taxable income; 11.3 Medicare levy; 11.4 Calculating tax; 11.5 Calculating GST and VAT; 11.6 Graphing tax rates; Chapter summary and review questions; 12. Similarity of two-dimensional figures; 12.1 Similar figures and scale factors; 12.2 Problems involving similar figures; 12.3 Scale drawings; 12.4 Building plans; Chapter summary and review questions; 13. Summary statistics; 13.1 The median; 13.2 Mean and mode; 13.3 The mean from larger data sets; 13.4 Standard deviation; 13.5 Comparison of summary statistics; Chapter summary and review questions; 14. Right-angled triangles; 14.1 Pythagoras' theorem; 14.2 Applying of Pythagoras' theorem ; 14.3 Trigonometric ratios; 14.4 Using the calculator in trigonometry; 14.5 Finding an unknown side; 14.6 Finding an unknown angle; 14.7 Applications of right-angled triangles; 14.8 Angles of elevation and depression; Chapter summary and review questions; Diagnostic test; HSC Formula Sheet; Glossary; Answers.