AQA AS Maths: Pure
Exam Questions

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

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

Quadratic Graphs, Discriminants, Completing the square, Solving Quadratic Equations, Solving Hidden Quadratics using Substitutions

Linear Simultaneous Equations using Elimination, Linear Simultaneous Equations using Substitution, Quadratic Simultaneous Equations

Linear Inequalities, Quadratic Inequalities, Inequalities on Graphs

Expanding Brackets, Polynomial Division, Factor Theorem, Factorisation

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

Translations, Stretches, Reflections

Modelling with Functions

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

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

Binomial Expansion

Definitions of Trigonometric Functions, Right-Angled Triangles, Non-Right-Angled Triangles

Graphs of Trigonometric Functions, Transformations of Trigonometric Functions, Simple Trigonometric 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 Exponentials & Logarithms in Modelling, Logarithmic Graphs

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

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

Fundamental Theorem of Calculus, Integrating Powers of x, Definite Integration, Area Under a Curve, Area Between a Curve & a Line

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