The full AS Pure Maths topic list, structured to the Edexcel specification — algebra, coordinate geometry, trigonometry, exponentials, differentiation and integration.
All 14 topics below are now live, with step-by-step worked examples, graded practice questions and full answers — in the same format as our GCSE Maths resources.
Simplifying, expanding and manipulating algebraic expressions, including surds and indices.
15 practice questions · worked examplesSolving quadratic equations by factorising, completing the square and the quadratic formula.
15 practice questions · worked examplesSolving linear and quadratic simultaneous equations, and linear and quadratic inequalities.
15 practice questions · worked examplesSketching curves and applying translations, stretches and reflections to graphs.
15 practice questions · worked examplesGradient, equations of lines, and parallel and perpendicular lines.
15 practice questions · worked examplesEquation of a circle, tangents, chords and circle geometry problems.
15 practice questions · worked examplesAlgebraic fractions, polynomial division and proof by deduction and exhaustion.
15 practice questions · worked examplesExpanding (a+b)ⁿ using Pascal's triangle and binomial coefficients.
15 practice questions · worked examplesSine and cosine rules, area of a triangle, and graphs of trig functions.
15 practice questions · worked examplesSolving trig equations and proving identities using standard relationships.
15 practice questions · worked examplesExponential graphs and growth/decay, introducing logarithms and their laws.
15 practice questions · worked examples2D vectors, magnitude, direction and problem solving with vector geometry.
15 practice questions · worked examplesFinding gradients, stationary points and rates of change from first principles.
15 practice questions · worked examplesReversing differentiation to find areas under curves and general solutions.
15 practice questions · worked examplesAlamin builds a personalised learning plan around your child's specific gaps — enhanced by AI-powered practice between sessions.
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