Free CXC CAPE Pure Mathematics
Practice Questions

144 CXC CAPE Pure Mathematics questions with instant feedback across 24 topics, every one accompanied by an examiner-style mark scheme. Start your first quiz in 30 seconds — no card required.

• Numerical methods and approximationsPractice
• Trigonometric identities and equationsPractice
• Coordinate geometry: lines and circlesPractice
• Limits and continuityPractice
• Second-order differential equationsPractice
• Complex numbers and the Argand diagramPractice
• Integration and areas under curvesPractice
• Techniques of integrationPractice
• Indices, surds and logarithmsPractice
• Sequences and convergencePractice
• The remainder and factor theoremsPractice
• Applications of differentiationPractice
• First-order differential equationsPractice
• Radian measure, arcs and sectorsPractice
• Functions, relations and inversesPractice
• De Moivre's theorem and rootsPractice
• The binomial theoremPractice
• Permutations, combinations and probabilityPractice
• Quadratics, the discriminant and inequalitiesPractice
• Differentiation from first principles and rulesPractice
• Matrices and systems of equationsPractice
• Arithmetic, geometric and power seriesPractice
• Differentiation of transcendental functionsPractice
• Vectors in two and three dimensionsPractice

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