# Maths Quest 11 : General Mathematics B

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The successful VCE Maths Quest series has been completely revised in these second editions to comprehensively cover the VCE 2006-2009 Mathematics Study Design. Additional exam practice has also been included in the form of further analysis tasks for each chapter. VCE Maths Quest offers teachers and students a complete resource package, including the Student Text, Teachers editions and Fully Worked Solutions Manual for each of the student texts. The Teacher Edition contains everything in the student edition package plus more, such as: * Answers printed in red next to most questions in each exercise and each investigation * Annotated study design information and a readily accessible work program. The teacher edition CD-ROM now contains four tests per chapter with fully worked solutions, Worksheets and their solutions, a work program, and other curriculum advice - all in a fully editable Word format.

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## Product details

- 17 Mar 2006
- John Wiley & Sons Australia Ltd
- Milton, QLD, Australia
- Teacher’s edition
- 2nd Teacher's edition
- 0731402596
- 9780731402595

## Table of contents

Chapter 1: Matrices Operations with matrices Multiplying matrices Multiplicative inverse and solving matrix equations Applications of matrices Matrices and transformations Chapter 2: Real and complex number systems The Real Number System Surds Simplifying surds Addition and subtraction of surds Multiplication of surds Division of surds Rationalising denominators Introduction to complex numbers Addition and subtraction of complex numbers Multiplication of complex numbers Division of complex numbers Surds and complex numbers as roots to quadratic equations Chapter 3: Sequences and series Describing sequences Arithmetic sequences Arithmetic series Geometric sequences Geometric series Applications of sequences and series Chapter 4: Simulation Random experiments, events and event spaces Modelling probabilities Long-run proportion Defining, recording and interpreting simulations Chapter 5: Linear relations and equations Linear equations Solving problems using linear equations Substitution and transposition in linear relations Linear recursion relations Simultaneous equations Solving problems using simultaneous equations Chapter 6: Non-linear relations and equations Substitution and transposition into non-linear relations Further formulas Solving non-linear equations using graphs and tables Solving non-linear equations using simple numerical approaches Quadratic equations Solving simultaneous equations using algebra Solving simultaneous equations with a graphics calculator Chapter 7: Algebra and logic Statements (propositions), connectives and truth tables Valid and invalid arguments Techniques of proof Sets and Boolean algebra Digital logic Chapter 8: Linear graphs and modelling Plotting straight line graphs Using a graphics calculator to plot linear functions Finding the gradient of a straight line Determining an equation of a straight line Sketching straight line graphs Application of linear modelling Line of best fit (by eye) Chapter 9: Sketching and interpreting linear and non-linear graphs The circle The ellipse The parabola The hyperbola Polar coordinates Polar equations Polar graphs Addition of ordinates, reciprocals and squares of simple graphs Chapter 10: Variation Direct variation Further direct variation Inverse variation Further inverse variation Joint variation Part variation Transformation of data Chapter 11: Kinematics Introduction to kinematics Velocity-time graphs and acceleration-time graphs Constant acceleration formulas Instantaneous rates of change Chapter 12: Linear programming Graphs of linear inequations Solutions of simultaneous linear equations Graphs of simultaneous linear inequations Graphs of systems of linear inequations Maximising and minimising linear functions Solving linear programming problems Further applications of linear programming Chapter 13: Geometry in two and three dimensions Review of basic geometry Geometric constructions Polygons Three-dimensional geometry Circle geometry Tangents, chords and circles Geometry in architecture, design and art Chapter 14: Coordinate geometry Distance between two points Midpoint of a line segment Dividing a line segment internally in the ratio a : b Dividing a line segment externally in the ratio a : b Parallel lines Perpendicular lines Applications Chapter 15: Vectors Introduction to vectors Operation on vectors Magnitude, direction and components of vectors notation Application of vectors Chapter 16: Trigonometric ratios and their applications Trigonometry of right-angled triangles Applications of right-angled triangles Non-right-angled triangles - the sine rule Non-right-angled triangles - the cosine rule Area of triangles Radian measurement Arcs, sectors and segments Answers

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