Cambridge A Level · Cambridge International

Further Mathematics 9231

Further Mathematics 9231 revision notes for Cambridge A Level.

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Explore 22 topic notes, learning objectives and practice.

2026–2027

AS/A Level

Roots of polynomial equations5 learning objectives · 6 practice questions
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Rational functions, asymptotes and curve sketching6 learning objectives · 6 practice questions
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Summation of series and the method of differences5 learning objectives · 6 practice questions
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Proof by mathematical induction5 learning objectives · 6 practice questions
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Matrices, determinants and linear transformations6 learning objectives · 6 practice questions
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Polar coordinates, curves and areas5 learning objectives · 6 practice questions
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Vectors, lines and planes in three dimensions6 learning objectives · 6 practice questions
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A Level

Eigenvalues, eigenvectors and diagonalisation6 learning objectives · 6 practice questions
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Hyperbolic functions and their inverses5 learning objectives · 6 practice questions
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Further differentiation and Maclaurin series6 learning objectives · 6 practice questions
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Reduction formulae, arc length, surface area and bounds for sums5 learning objectives · 6 practice questions
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Complex numbers and de Moivre's theorem6 learning objectives · 6 practice questions
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First-order and second-order differential equations6 learning objectives · 6 practice questions
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AS/A Level

Projectile motion and equilibrium of a rigid body6 learning objectives · 10 practice questions
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Circular motion6 learning objectives · 6 practice questions
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Hooke's law, elastic strings and energy6 learning objectives · 6 practice questions
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Momentum, collisions and motion under a variable force6 learning objectives · 7 practice questions
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AS/A Level

Continuous random variables6 learning objectives · 7 practice questions
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Inference with the normal and t-distributions6 learning objectives · 14 practice questions
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Chi-squared tests for goodness of fit and independence6 learning objectives · 7 practice questions
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Non-parametric tests6 learning objectives · 7 practice questions
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Probability generating functions5 learning objectives · 10 practice questions
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152 practice questions across 22 topics. Free accounts practise with 20 sample questions in this subject; paid plans include every question.