1. Algebraic reasoning—simplifying expressions, expanding brackets, solving equations and inequalities, nth term of sequences, formula rearrangement
2. Geometry and coordinates—scale factor enlargement, parallelogram vertex identification, angle types, midpoint calculation, triangle construction, bearings, angle estimation from diagrams
3. Number and arithmetic—percentages, rounding, ordering values, price increase/decrease, averages (mean, mode), prime factorization, HCF
4. Ratio and proportion—distance allocation in triathlon, price sharing, reverse percentages, simultaneous linear equations (cakes and drinks)
5. Data handling—scatter graphs, line of best fit, grouped frequency table, estimated mean, probability from two-way tables