1. Algebra and Formulae | Substitution into expressions, rearranging formulas, solving linear and quadratic equations, simplifying algebraic fractions, and binomial expansions.
2. Geometry and Trigonometry | Pythagoras’ theorem, angle properties, bearings, transformations, similarity proofs in triangles, surface area and volume of 3D shapes, trigonometric calculations and compound figures.
3. Statistics and Data Interpretation | Drawing and analysing histograms, interpreting frequency polygons, identifying graphical mistakes, calculating averages and spread from grouped data.
4. Ratio, Proportion and Real-life Problems | Cost comparisons, compound depreciation, proportional division, gradient interpretation, speed-time-distance calculations, population and profit modeling.
5. Probability and Combinatorics | Tree diagrams, outcomes with replacement, calculating probabilities from card selections, permutations of outfit choices, expected values in compound events.
6. Graphing and Algebraic Geometry | Intersections of linear and non-linear graphs using substitution, interpretation of linear graph gradients, plotting travel and velocity-time graphs, transformation of functions.