1. Fundamentals of Arithmetic and Algebra - Fractions, ratios, integer powers, direct proportion, indices, inequalities, HCF and LCM, calculator use.

2. Equations and Graphs - Solving equations, simultaneous equations, quadratic equations, travel graphs, quadratic graphs, reciprocal graphs.

3. Percentages and Proportions - Compound and inverse percentages, estimating, financial arithmetic, foreign currency, proportion applications.

4. Functions and Sequences - Relations, composite functions, inverse functions, formulae for sequences, difference method, finding sequence formulas.

5. Advanced Algebra and Calculus - Factor theorem, algebraic fractions, differentiation, tangents, turning points, kinematics.