Edexcel AS Maths: Pure
Exam Questions

Language of Proof, Proof by Deduction, Proof by Exhaustion, Disproof by Counter Example

Laws of Indices, Manipulating Surds, Surds - Rationalising the Denominator

Quadratic Graphs, Discriminants, Completing the square, Solving Quadratic Equations, Further Solving Quadratic Equations (Hidden Quadratics)

Linear Simultaneous Equations - Elimination, Linear Simultaneous Equations - Substitution, Quadratic Simultaneous Equations

Linear Inequalities, Quadratic Inequalities, Inequalities on Graphs

Expanding Brackets, Polynomial Division, Factor Theorem, Factorisation

Sketching Polynomials, Reciprocal Graphs - Sketching, Solving Equations Graphically, Proportional Relationships

Translations, Stretches, Reflections

Modelling with Functions

Basic Coordinate Geometry, Parallel & Perpendicular Gradients, Equation of a Straight Line, Modelling with Straight Lines

Equation of a Circle, Finding the Centre & Radius, Bisection of Chords, Angle in a Semicircle, Radius & Tangent

Binomial Expansion

Trigonometry - Definitions, Right-Angled Triangles, Non-Right-Angled Triangles

Graphs of Trigonometric Functions, Transformations of Trigonometric Functions

Trigonometry - Simple Identities, Linear Trigonometric Equations, Quadratic Trigonometric Equations, Strategy for Trigonometric Equations

Exponential Functions, Logarithmic Functions, "e", Derivatives of Exponential Functions

Laws of Logarithms, Exponential Equations

Exponential Growth & Decay, Using Exps & Logs in Modelling, Using Log Graphs in Modelling

Definition of Gradient, First Principles Differentiation, Differentiating Powers of x

Gradients, Tangents & Normals, Increasing & Decreasing Functions, Second Order Derivatives, Stationary Points & Turning Points, Sketching Gradient Functions, Modelling with Differentiation inc. Optimisation

Fundamental Theorem of Calculus, Integrating Powers of x, Definite Integration, Area Under a Curve, Area between a curve and a line

Basic Vectors, Magnitude & Direction, Vector Addition, Position Vectors, Problem Solving using Vectors