GCSE Maths topics a tutor can cover
GCSE Maths is not one skill. The official subject content is commonly organised around number, algebra, ratio and proportion, geometry and measures, probability, and statistics. A useful tutor plan should identify which of those areas are secure, which are fragile and which need repeated exam-style practice.
- Foundation work usually prioritises secure arithmetic, fractions, percentages, basic algebra, graphs and essential geometry.
- Higher work adds more demanding algebra, trigonometry, proof, geometry and multi-step problem-solving.
- The exact specification and question style vary by exam board, so the tutor should align practice with the student’s board where possible.
- A topic checklist is useful only when it turns into practice, feedback and revision priorities.
- Number
- Fractions, decimals, percentages, ratio, powers, roots, standard form, bounds and accuracy.
- Algebra
- Simplifying, equations, inequalities, sequences, graphs, simultaneous equations and quadratic work where relevant.
- Ratio, proportion and rates of change
- Proportion, compound measures, percentage change, direct/inverse proportion and functional relationships.
- Geometry and measures
- Angles, shapes, area, volume, vectors, transformations, Pythagoras, trigonometry and circle work where relevant.
- Probability
- Probability scales, combined events, tree diagrams and conditional reasoning where required.
- Statistics
- Averages, spread, charts, sampling, interpretation and comparing data sets.