Cambridge HSC General Mathematics is an all-new textbook and student CD-ROM for the NSW Stage 6 HSC syllabus. The HSC course topics are introduced in a logical sequence, divided into manageable sections that make sense to students and teachers. This full-colour, student-friendly text is designed to cater for students with a range of abilities. The text features: * Area of study and outcomes that are listed at the beginning of each chapter * Precise step-by-step worked solutions to encourage independent learning * Graded exercises which build on basic skills and understanding through Development questions that encourage students to apply understanding to particular contexts * Essential rules, formulae and important concepts that are highlighted throughout * Graphics calculator and spreadsheet activities, * Chapter reviews that include a chapter summary and multiple-choice and short-response questions * Diagnostic tests to assess understanding and areas of concern. * Comprehensive glossary and HSC formula sheet.

 

This book has been graded for interest at 14-16 years.

There are 496 pages in this book. This book was published 2010 by Cambridge University Press .

This book has the following chapters: 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.