Edexcel IGCSE Further Pure Maths Exam Questions By Topic

Exponential Functions, Logarithmic Functions, Properties of Indices, Properties of Logarithms, Solving Exponential Equations

Simplifying Surds, Rationalising Denominators

Factorising Quadratics, Completing the Square, Solving Quadratic Equations, Roots of Quadratic Equations

Algebraic Division, Factor & Remainder Theorems, Solving Cubic Equations, Simultaneous Equations

Solving Inequalities, Graphs of Inequalities

Basic Coordinate Geometry, Equations of a Straight Line

Graphing Functions, Graphs of Polynomials, Graphs of Rational Functions, Solving Equations Graphically

Sigma Notation, Arithmetic Sequences & Series, Geometric Sequences & Series

Binomial Expansion, General Binomial Expansion, Applications of Binomial Expansion

Radian Measure, Arcs & Sectors

Basic Trigonometry, Sin, Cos & Tan, Graphs of Trigonometric Functions

Sine & Cosine Formulae, Trigonometric Identities, Trigonometric Addition Formulae

Linear Trigonometric Equations, Quadratic Trigonometric Equations

Vector Basics, Position & Displacement Vectors, Magnitude of a Vector, Geometric Proof with Vectors

Introduction to Derivatives, Differentiating Basic Functions, Techniques of Differentiation

Finding Gradients, Stationary Points & Turning Points, Tangents & Normals, Rates of Change

Introduction to Integration, Integrating Basic Functions, Constants of Integration

Calculating Areas, Areas Between Curves, Volumes of Revolution

Kinematics Toolkit, Calculus for Kinematics