Maths Library England (UK) Year 9 Year 9 maths, age 13 to 14, KS3 In Year 9, pupils consolidate their Key Stage 3 mathematical learning and prepare for the transition to GCSE. They formalise work with standard form, index laws, and linear equations, while deepening algebraic techniques including factorisation and linear graphs. In geometry, pupils master Pythagoras' theorem and circle properties, alongside exploring compound measures and probability.
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Equivalent levels Topics Number Percentages Ratio Algebra Geometry Measurement Statistics Probability Curriculum items Indicative, from National Curriculum for England. See the official document for the authoritative text.
Express numbers in standard index form and calculate with scientific notation. Apply index laws for positive, zero, and negative integer powers. Solve multi-step problems involving percentages, including percentage change and reverse percentage ideas. Solve direct and inverse proportion problems using unit rates and fractional comparisons. Expand single brackets and factorise linear expressions by taking out common factors. Solve complex linear equations with unknowns on both sides and brackets. Solve simple linear inequalities in one variable and represent solutions on a number line. Plot and interpret linear graphs, identifying the gradient and intercepts. Deduce expressions to calculate the nth term of linear arithmetic sequences. Apply Pythagoras' theorem to find missing lengths in right-angled triangles. Solve problems involving the area and circumference of circles and composite shapes. Calculate compound measures including speed, distance, and time with appropriate units. Calculate and compare averages and spread from grouped and ungrouped discrete data. Determine probabilities of single and combined events using systematic sample spaces. Previous: Year 8 | Next: Year 10