AQAGCSEMathematics
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Geometry & Measures

Shapes, angles, constructions, transformations, and mensuration

Practice 88 subtopics in Geometry & Measures. All questions match the AQA GCSE specification.

About Geometry & Measures

Geometry & Measures is a key topic in the AQA GCSE Mathematicsspecification. This topic covers shapes, angles, constructions, transformations, and mensuration.

Master all 88 subtopics below with unlimited AI-generated questions. Each subtopic page includes sample questions and the ability to generate unlimited practice questions with detailed solutions.

All Subtopics (88)

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Angles at a pointAngles on a straight lineVertically opposite anglesAngles in trianglesAngles in quadrilateralsInterior angles of polygonsExterior angles of polygonsAngle sum of polygonsProperties of trianglesProperties of quadrilateralsProperties of other polygonsSymmetryLines of symmetryRotational symmetryParts of a circleCircle theorems (H)Tangent and radius perpendicular (H)Angles in the same segment (H)Angle at centre theorem (H)Angles in a semicircle (H)Cyclic quadrilaterals (H)Alternate segment theorem (H)Arc lengthSector areaSegment area (H)Angles in parallel linesCorresponding anglesAlternate anglesCo-interior anglesCongruent shapesCongruent trianglesSimilar shapesScale factorsLength, area and volume scale factors (H)Applying circle theorems (H)Constructions with ruler and compassPerpendicular bisectorAngle bisectorConstructing trianglesConstructing 60° and 90° anglesLociLoci problemsPerimeter of shapesArea of rectanglesArea of trianglesArea of parallelogramsArea of trapeziumsArea of compound shapesCircumference of a circleArea of a circleVolume of cuboidsVolume of prismsVolume of cylindersVolume of pyramids (H)Volume of cones (H)Volume of spheres (H)Volume of frustums (H)Surface area of 3D shapesSurface area of cylindersSurface area of cones (H)Surface area of spheres (H)Pythagoras theoremPythagoras in 2DPythagoras in 3D (H)Trigonometric ratios (SOHCAHTOA)Finding sides using trigonometryFinding angles using trigonometryExact trigonometric values (H)Sine rule (H)Cosine rule (H)Area of triangle using sine (H)Trigonometry in 3D (H)Three-figure bearingsBearings calculationsTranslationsReflectionsRotationsEnlargementsNegative scale factors (H)Fractional scale factorsDescribing transformationsCombined transformations (H)Column vectorsVector notationAdding and subtracting vectorsMultiplying vectors by scalarsGeometric proofs using vectors (H)Position vectors (H)

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