Chapter 1
 Ex 1A
 Ex 1B
 Ex 1C
 Ex 1D
 Ex 1E
 Ex 1F
 Ex 1G
Chapter 2
 Ex 2A
 Ex 2B
 Ex 2C
 Ex 2D
 Ex 2E
 Ex 2F
 Ex 2G
 Ex 2H
 Ex 2I
Chapter 3
 Ex 3A
 Ex 3B
 Ex 3C
 Ex 3D
 Ex 3E
Chapter 4
 Ex 4A
 Ex 4B
 Ex 4C
 Ex 4D
 Ex 4E
 Ex 4F
 Ex 4G
 Ex 4H
ISBN: 0 7314 03274 RRP: $49.95 Due for publication: January 2006
Rational and Irrational Numbers
Operations with fractions
Finite and recurring decimals
Irrational numbers
Simplifying surds
Addition and subtraction of surds
Multiplication and division of surds
Writing surd fractions with a rational denominator
Algebra and Equations
Operations with pronumerals
Substituting into expressions
Expanding
Factorising using common factors
Adding and subtracting algebraic fractions
Multiplying and dividing algebraic fractions
Solving basic equations
Solving more complex equations
Solving inequations
Linear Graphs
Plotting linear graphs
Sketching linear graphs
Finding linear equations
Linear modelling
Sketching linear inequations
Quadratic Equations
Expanding algebraic expressions
Factorising expressions with two or four terms
Factorising expressions with three terms
Factorising by completing the square
Mixed factorisation
Solving quadratic equations
Using the quadratic formula
Using the discriminant

Chapter 5
 Ex 5A
 Ex 5B
 Ex 5C
 Ex 5D
 Ex 5E
Quadratic Graphs
Plotting parabolas
Sketching parabolas using the basic graph of y = x 2
Sketching parabolas in turning point form
Sketching parabolas of the form y = ax 2 + bx + c
Solving quadratic inequations using sketch graphs
Chapter 6
 Ex 6A
 Ex 6B
 Ex 6C
 Ex 6D
 Ex 6E
 Ex 6F
 Ex 6G
Chapter 7
 Ex 7A
 Ex 7B
 Ex 7C
 Ex 7D
 Ex 7E
 Ex 7F
Variation
Direct variation
Direct variation and ratio (rate)
Partial variation
Inverse variation
Other forms of direct and inverse variation
Identifying the type of variation
Joint variation
Simultaneous Equations
Graphical solution of simultaneous equations
Algebraic solutions of simultaneous equations – substitution method
Algebraic solutions of simultaneous equations – elimination method
Problem solving using simultaneous equations
Solving a quadratic equation and a linear equation simultaneously
Solving simultaneous inequations
Chapter 8
 Ex 8A
 Ex 8B
 Ex 8C
 Ex 8D
 Ex 8E
 Ex 8F
Chapter 9
 Ex 9A
 Ex 9B
 Ex 9C
 Ex 9D
 Ex 9E
 Ex 9F
Exponential Functions
Index laws
Negative indices
Fractional indices
Further use of index laws
Exponential functions and their graphs
Modelling exponential growth and decay
Measurement
Error in calculations
Perimeter
Area
Total surface area
Volume
Time, speed, density and concentration
Chapter 10 Circle Geometry
 Ex 10A
 Ex 10B
 Ex 10C
 Ex 10D
 Ex 10E Locus
Chapter 11 Further Geometry
 Ex 11A
 Ex 11B
 Ex 11C
 Ex 11D
 Ex 11E
 Ex 11F
Intersecting chords, secants and tangents
Angles in a circle
Cyclic quadrilaterals
Great circles
Review of 2-dimensional and 3-dimensional drawing
Cross-sectional view of objects
Similarity
Congruence
Nets, polyhedra construction and Euler’s rule
Transformation of points and figures

Chapter 12 Trigonometry
 Ex 12A
 Ex 12B
 Ex 12C
Using a calculator
Using trigonometric ratios to find side lengths
Using trigonometric ratios to find angles
 Ex 12D
 Ex 12E
 Ex 12F
Applications
Bearings
The unit circle – quadrant 1
 Ex 12G
 Ex 12H
Circular functions
Graphs of y = sin
Chapter 13 Probability
 Ex 13A
 Ex 13B
 Ex 13C
 Ex 13D
 Ex 13E
 Ex 13F
 Ex 13G
 and y = cos
Probability revision
Complementary events
Mutually exclusive events

Two-way tables and tree diagrams
Independent and dependent events
Karnaugh maps
Subjective probability
Chapter 14 Statistics
 Ex 14A
 Ex 14B
Collecting data
Presenting categorical and discrete data
 Ex 14C
 Ex 14D
 Ex 14E
 Ex 14F
Representing data grouped into class intervals
Measures of central tendency
Measures of spread
Bivariate data
 Ex 14G
 Ex 14H
Lines of best fit
Time series
Strategies for problem solving
Introduction to problem solving
Strategies for investigation and problem solving
 Create a table, then look for a pattern or a result
 Draw a diagram, then look for a pattern or a result
 Set up equations and find a solution, making use of technology such as a computer spreadsheet
 Work backwards from the answer
 Use a process of elimination
 Look at similar but simpler problems
 Create a mathematical model of a complicated situation
Communicating, reasoning and reflecting