Free AQA GCSE Mathematics
Practice Questions

1,426 AQA GCSE Mathematics questions with instant feedback across 72 topics, every one accompanied by an examiner-style mark scheme. Start your first quiz in 30 seconds — no card required.

• Standard formPractice📚 Notes
• Highest common factor (HCF) and lowest common multiple (LCM)Practice📚 Notes
• Sequences including arithmetic and geometric sequences, nth termPractice📚 Notes
• Pythagoras' theorem in 2D and 3DPractice📚 Notes
• Transformations of graphs and functionsPractice📚 Notes
• Iteration and iterative methods to solve equationsPractice📚 Notes
• Maps, scale drawings and scale factorsPractice📚 Notes
• Histograms with unequal class widths and frequency densityPractice📚 Notes
• Tree diagrams including conditional probabilityPractice📚 Notes
• Order of operations (BIDMAS/BODMAS)Practice📚 Notes
• Simultaneous equations involving one linear and one quadraticPractice📚 Notes
• Graphs of circles and other implicit curvesPractice📚 Notes
• Sampling methods and questionnaire designPractice📚 Notes
• Direct and inverse proportionPractice📚 Notes
• Gradients of curves and area under graphs including kinematics interpretationPractice📚 Notes
• Percentages: percentage of amounts, percentage change, reverse percentagesPractice📚 Notes
• Trigonometry in 3D problemsPractice📚 Notes
• Surds: simplifying, rationalising the denominator and basic calculationsPractice📚 Notes
• Ratio: simplifying, dividing quantities, solving problemsPractice📚 Notes
• Plans and elevationsPractice📚 Notes
• Circles: circumference, area and parts of a circle (arc, sector, segment)Practice📚 Notes
• Volume and surface area of prisms, cylinders, pyramids, cones and spheresPractice📚 Notes
• Solving linear equationsPractice📚 Notes
• Comparing distributions using statistical measures and diagramsPractice📚 Notes
• Cumulative frequency graphs and box plotsPractice📚 Notes
• Circle theorems: angles, tangents, chords and cyclic quadrilateralsPractice📚 Notes
• Quadratic and other non-linear inequalitiesPractice📚 Notes
• Properties of 2D shapes: angles, triangles, quadrilaterals and polygonsPractice📚 Notes
• Fractions: operations, converting between fractions, decimals and percentagesPractice📚 Notes
• Composite and inverse functionsPractice📚 Notes
• BearingsPractice📚 Notes
• Substitution into formulae and expressionsPractice📚 Notes
• Rearranging formulae (changing the subject)Practice📚 Notes
• Transformations: translation, rotation, reflection and enlargement including fractional and negative scale factorsPractice📚 Notes
• Combined events, possibility spaces and mutually exclusive and exhaustive eventsPractice📚 Notes
• Sine rule, cosine rule and area of a triangle using ½ab sinCPractice📚 Notes
• Solving quadratic equations by completing the square and the quadratic formulaPractice📚 Notes
• Vectors: notation, addition, subtraction and scalar multiplicationPractice📚 Notes
• Upper and lower bounds and error intervalsPractice📚 Notes
• Scatter graphs: plotting, drawing and interpreting lines of best fit, correlationPractice📚 Notes
• Statistical measures: mean, median, mode and range for discrete and grouped dataPractice📚 Notes
• Perimeter and area of 2D shapes including trapezium and compound shapesPractice📚 Notes
• Interior and exterior angles of polygonsPractice📚 Notes
• Real-life graphs: distance–time, speed–time, conversion and other contextsPractice📚 Notes
• Angles: at a point, on a straight line, parallel lines and transversalsPractice📚 Notes
• Laws of indices (including negative and fractional indices)Practice📚 Notes
• Simultaneous equations (linear)Practice📚 Notes
• Units: converting between metric and imperial, compound measures (speed, density, pressure)Practice📚 Notes
• Factorising quadratic expressionsPractice📚 Notes
• Exact trigonometric values for 0°, 30°, 45°, 60°, 90°Practice📚 Notes
• Representing and interpreting data: bar charts, pie charts, pictograms, line graphs and stem-and-leaf diagramsPractice📚 Notes
• Plotting and interpreting quadratic, cubic, reciprocal and other non-linear graphsPractice📚 Notes
• Algebraic fractions: simplifying, adding, subtracting, multiplying and dividingPractice📚 Notes
• Quadratic graphs: plotting, recognising features and interpretingPractice📚 Notes
• Trigonometry in right-angled triangles (SOH CAH TOA)Practice📚 Notes
• Rounding, estimation and limits of accuracyPractice📚 Notes
• Linear inequalities: solving and representing on a number linePractice📚 Notes
• Similarity: identifying similar shapes and using scale factors for lengths, areas and volumesPractice📚 Notes
• Expanding single and double bracketsPractice📚 Notes
• Constructions, loci and scale drawingsPractice📚 Notes

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