1
Exponents and surds
1.1 Revision
1.2 Rational exponents and surds
1.3 Solving surd equations
1.4 Applications of exponentials
1.5 Summary
2
Equations and inequalities
2.1 Revision
2.2 Completing the square
2.3 Quadratic formula
2.4 Substitution
2.5 Finding the equation
2.6 Nature of roots
2.7 Quadratic inequalities
2.8 Simultaneous equations
2.9 Word problems
2.10 Summary
3
Number patterns
3.1 Revision
3.2 Quadratic sequences
3.3 Summary
4
Analytical geometry
4.1 Revision
4.2 Equation of a line
4.3 Inclination of a line
4.4 Parallel lines
4.5 Perpendicular lines
4.6 Summary
5
Functions
5.1 Quadratic functions
5.2 Average gradient
5.3 Hyperbolic functions
5.4 Exponential functions
5.5 The sine function
5.6 The cosine function
5.7 The tangent function
5.8 Summary
6
Trigonometry
6.1 Revision
6.2 Trigonometric identities
6.3 Reduction formula
6.4 Trigonometric equations
6.5 Area, sine, and cosine rules
6.6 Summary
7
Measurement
7.1 Area of a polygon
7.2 Right prisms and cylinders
7.3 Right pyramids, right cones and spheres
7.4 Multiplying a dimension by a constant factor
7.5 Summary
8
Euclidean geometry
8.1 Revision
8.2 Circle geometry
8.3 Summary
9
Finance, growth and decay
9.1 Revision
9.3 Timelines
9.4 Nominal and effective interest rates
9.5 Summary
10
Probability
10.1 Revision
10.2 Dependent and independent events
10.3 More Venn diagrams
10.4 Tree diagrams
10.5 Contingency tables
10.6 Summary
11
Statistics
11.1 Revision
11.2 Histograms
11.3 Ogives
11.4 Variance and standard deviation
11.5 Symmetric and skewed data
11.6 Identification of outliers
11.7 Summary
12
12 Linear programming
12.1 Introduction