The full AS Pure Maths topic list, structured to the Edexcel specification — algebra, coordinate geometry, trigonometry, exponentials, differentiation and integration.
Differentiation is live now, with step-by-step worked examples, graded practice questions and full answers — in the same format as our GCSE Maths resources. The remaining topics are being built out next.
Simplifying, expanding and manipulating algebraic expressions, including surds and indices.
Coming soonSolving quadratic equations by factorising, completing the square and the quadratic formula.
Coming soonSolving linear and quadratic simultaneous equations, and linear and quadratic inequalities.
Coming soonSketching curves and applying translations, stretches and reflections to graphs.
Coming soonGradient, equations of lines, and parallel and perpendicular lines.
Coming soonEquation of a circle, tangents, chords and circle geometry problems.
Coming soonAlgebraic fractions, polynomial division and proof by deduction and exhaustion.
Coming soonExpanding (a+b)ⁿ using Pascal's triangle and binomial coefficients.
Coming soonSine and cosine rules, area of a triangle, and graphs of trig functions.
Coming soonSolving trig equations and proving identities using standard relationships.
Coming soonExponential graphs and growth/decay, introducing logarithms and their laws.
Coming soon2D vectors, magnitude, direction and problem solving with vector geometry.
Coming soonFinding gradients, stationary points and rates of change from first principles.
15 practice questions · worked examplesReversing differentiation to find areas under curves and general solutions.
Coming soonAlamin builds a personalised learning plan around your child's specific gaps — enhanced by AI-powered practice between sessions.
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