1. Algebra, Sequences, and Equations | Expanding expressions, solving linear and cubic equations, nth term of sequences, rearranging equations, iteration methods, forming expressions from geometric problems.
2. Geometry and Trigonometry | Pythagoras’ theorem, right-angle triangle problems, transformations, angle rules in polygons, proving congruent triangles, interpreting bearings, cosine and tangent rules.
3. Graphs and Interpretation | Plotting and interpreting travel and speed-time graphs, estimating areas under curves, calculating gradient and interpreting intercepts from line graphs.
4. Ratio, Proportion, and Real-Life Contexts | Compound measures (speed, density), proportional reasoning in recipes and population, working with compound interest, reverse percentages, LCM problems.
5. Probability and Statistics | Tree diagrams, Venn diagrams, interpreting frequency tables, probability from multiple events, identifying errors in diagrams, stem-and-leaf, pie charts, outliers.
6. Volume, Surface Area, and Similar Shapes | Area of compound shapes, volume from ratio of surface areas, unit conversions, visualizing 3D transformations, mathematical modeling with formulae involving powers.