AQA GCSE Further Maths Exam Questions By Topic

Simplifying Surds, Rationalising Denominators

Counting Principles

Expanding & Factorising, Factorising Quadratics, Quadratics Factorising Methods, Completing the Square, Solving Quadratic Equations, Equating Coefficients, Forming & Solving Equations

Binomial Expansion, Problem Solving with Binomial Expansion

Algebraic Fractions

Rearranging Formulae

Indices

Algebraic Proof

Factor Theorem, Applications of Factor Theorem

Quadratic & Polynomial Graphs, Exponential Graphs, Solving Equations using Graphs

Linear Simultaneous Equations, Quadratic Simultaneous Equations, Simultaneous Equations with 3 Variables

Linear Inequalities, Quadratic Inequalities

Functions Toolkit, Composite & Inverse Functions

Finding nth Terms of Sequences, Using nth Terms of Sequences

Coordinate Geometry, Gradients, Equation of a Straight Line

Equation of a Circle, Tangents to Circles

Definition of Gradient, Differentiating Powers of x

Tangents & Normals, Increasing & Decreasing Functions, Second Derivatives, Stationary Points & Turning Points, Modelling with Differentiation and Optimisation

Introduction to Matrices, Multiplying Matrices

Transformations with Matrices, Combining Matrix Transformations

Geometric Proof

Right-Angled Trigonometry, Sine, Cosine Rule & Area of Triangles, 3D Pythagoras & Trigonometry

Trigonometric Graphs, Trigonometric Identities, Solving Trig Equations