1. Algebra and Ratios – Solving ratio problems in financial contexts; simplifying algebraic expressions; solving quadratic equations by factorization and using the quadratic formula.

2. Geometry and Transformations – Finding midpoints and vectors; performing rotations, reflections, and translations; solving problems involving trapeziums, circles, and tangents.

3. Statistics and Probability – Calculating mean, mode, and median; drawing histograms and pie charts; computing probabilities of independent and dependent events.

4. Mensuration and Volume – Calculating surface areas and volumes of cones, prisms, and spheres; using density and mass formulas; determining water displacement.

5. Speed, Distance, and Time – Solving problems involving average speed; working with train and car travel times; converting between different units of speed.

6. Functions and Graphs – Interpreting quadratic functions and derivatives; finding tangents to curves; solving inequalities and composite functions.