1. Algebra and Functions - Surds, logarithms, laws of logarithms, solving exponential equations, polynomial factorization, remainder theorem.

2. Equations and Inequalities - Quadratic equations (factorization, quadratic formula, discriminant), simultaneous equations, linear and quadratic inequalities.

3. Graphs and Transformations - Sketching and interpreting cubic and reciprocal functions, transformations of graphs, solving equations graphically.

4. Sequences and Series - Arithmetic and geometric sequences, sum of series, convergence of geometric series.

5. Calculus - Differentiation rules (product, chain, quotient), finding tangents and normals, stationary points, integration applications (area, volume, kinematics).

6. Trigonometry - Radians, arc length, trigonometric graphs, sine and cosine rules, trigonometric identities and equations.