Year 9 Maths

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UK Key Stage 3 Maths skills for Year 9 — building toward GCSE, with instant feedback and worked explanations.

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Number

Standard form — writing numbers Standard form — converting to ordinary numbers Laws of indices — multiplying powers Laws of indices — dividing powers Negative indices Prime factor decomposition Estimating calculations

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Fractions, Percentages & Proportion

Mixed numbers to improper fractions Percentage change Reverse percentages Compound interest Direct proportion Inverse proportion Best value comparisons

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Algebra

Expanding double brackets Factorising expressions Solving equations with brackets Equations with unknowns on both sides Simultaneous equations Solving linear inequalities Substituting into a formula Rearranging a formula Geometric sequences

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Geometry & Measure

Pythagoras — finding the hypotenuse Pythagoras — finding a shorter side Trigonometry — finding a side Volume of a cuboid Volume of a cylinder Surface area of a cuboid Interior angles of a polygon Exterior angles of a polygon

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Statistics & Probability

Combined probability Probability — the NOT rule Estimating the mean (grouped data) Relative frequency Two-way tables

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Powers, Roots & Standard Form

Simplifying surds Adding and subtracting surds Rationalising the denominator Fractional indices Estimating square and cube roots Recurring decimals to fractions Upper and lower bounds Multiplying & dividing standard form

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Quadratics & Graphs

Expanding two brackets Expanding a perfect square Factorising quadratics Solving quadratics by factorising Simplifying algebraic fractions Straight-line graphs — gradient Straight-line graphs — finding c Forming and solving equations

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Geometry & Trigonometry

Trigonometry — finding an angle Distance between coordinates Arc length of a circle Area of a sector Volume of a cone Volume of a sphere Similar shapes — area scale factor Bearings

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Ratio, Proportion & Financial Maths

Compound measures — speed Compound measures — density Successive percentage change Simple vs compound interest Direct proportion (y ∝ x²) Inverse proportion (y ∝ 1/x) Currency conversion Sharing a ratio — unknown total

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Statistics & Probability II

Scatter graphs — correlation Scatter graphs — line of best fit Tree diagrams — three events Tree diagrams — at least one Cumulative frequency — median class Interquartile range Sample space diagrams Stratified sampling