CIE IGCSE Additional Maths
Exam Questions

Language of Functions, Inverse Functions, Composite Functions

Solving Quadratics by Factorising, Quadratic Formula, Completing the Square, Quadratic Equation Methods, Discriminants, Quadratic Graphs, Quadratic Inequalities

Operations with Polynomials, Polynomial Division, Factor & Remainder Theorem, Solving Cubic Equations

Modulus Functions, Graphs of Cubic Polynomials

Linear Simultaneous Equations, Quadratic Simultaneous Equations

Exponential Functions, Logarithmic Functions, Laws of Logarithms, Exponential Equations, Transforming Relationships to Linear Form

Linear Graphs, Parallel & Perpendicular Lines

Equation of a Circle, Tangents to Circles, Intersection of Two Circles

Radian Measure, Arcs & Sectors

Trigonometric Functions, The Unit Circle, Graphs of Trigonometric Functions, Trigonometric Identities, Solving Trigonometric Equations, Trigonometric Proof

Permutations, Combinations, Problem Solving with Permutations & Combinations

Binomial Theorem

Language of Sequences & Series, Arithmetic Progressions, Geometric Progressions

Introduction to Vectors, Vector Addition, Problem Solving using Vectors, Compose & Resolve Velocities

Introduction to Differentiation, Differentiating Special Functions, Chain Rule, Product Rule, Quotient Rule, Applications of Differentiation, Second Order Derivatives, Modelling with Differentiation, Connected Rates of Change

Introduction to Integration, Integrating Powers of x, Definite Integrals, Finding Areas with Integration, Finding Areas Between Lines & Curves, Integrating Trig Functions, Integrating e^x & 1/x, Reverse Chain Rule

Kinematics Toolkit, Calculus for Kinematics, Sketching Travel Graphs