Algebra & Functions

Quadratics

Expanding Brackets

Quadratic Graphs

Discriminants

Completing the square

Solving Quadratic Equations

Solving Hidden Quadratics using Substitutions

Inequalities & Simultaneous Equations

Linear Simultaneous Equations using Elimination

Linear Simultaneous Equations using Substitution

Quadratic Simultaneous Equations

Linear Inequalities

Quadratic Inequalities

Inequalities on Graphs

Functions

Language of Functions

Composite Functions

Inverse Functions

Graphs of Functions

Sketching Polynomials

Sketching Reciprocal Graphs

Solving Equations Graphically

Proportional Relationships

Transformations of Functions

Translations

Stretches

Reflections

Combinations of Transformations

Combinations of Transformations

Modelling with Functions

Modelling with Functions

Coordinate Geometry

Equation of a Straight Line

Basic Coordinate Geometry

Equation of a Straight Line

Parallel & Perpendicular Gradients

Modelling with Straight Lines

Circles

Equation of a Circle

Finding the Centre & Radius

Bisection of Chords

Angle in a Semicircle

Radius & Tangent

Trigonometry

Basic Trigonometry

Definitions of Trigonometric Functions

Right-Angled Triangles

Non-Right-Angled Triangles

Trigonometric Functions

Graphs of Trigonometric Functions

Transformations of Trigonometric Functions

Circular Measure (Radians)

Radian Measure

Trigonometry Exact Values

Trigonometric Equations

Simple Trigonometric Identities

Linear Trigonometric Equations

Quadratic Trigonometric Equations

Strategy for Trigonometric Equations

Modelling with Trigonometric Functions

Modelling with Trigonometric Functions

Series

Binomial Expansion

Binomial Expansion

Arithmetic Progressions

Arithmetic Progressions

Sum of Arithmetic Progressions

Geometric Progressions

Geometric Progressions

Sum of Geometric Progressions

Sequences & Series

Language of Sequences & Series

Sigma Notation

Recurrence Relations

Modelling with Sequences

Differentiation

Differentiation

Definition of Gradient

Definition of Derivatives

Differentiating Powers of x

Chain Rule

Applications of Differentiation

Gradients, Tangents & Normals

Increasing & Decreasing Functions

Second Order Derivatives

Stationary Points & Turning Points

Sketching Gradient Functions

Modelling with Differentiation (Optimisation)

Connected Rates of Change

Integration

Integration

Fundamental Theorem of Calculus

Integrating Powers of x

Definite Integration

Reverse Chain Rule

Improper Integrals

Further Integration

Area Under a Curve

Area Between a Curve & a Line

Area Between 2 Curves

Volumes of Revolution

Adding & Subtracting Volumes

Modelling with Volumes of Revolution

Exam boards

• Cambridge (CIE) A Level Maths: Pure 3
• Cambridge (CIE) A Level Maths: Mechanics
• Cambridge (CIE) A Level Maths: Probability & Statistics 1
• Cambridge (CIE) A Level Maths: Probability & Statistics 2
• Edexcel A Level Maths: Pure

Study tools

• Cambridge (CIE) A Level Maths · Exam Questions
• Cambridge (CIE) A Level Maths · Past Papers

Related links

• A Level Maths · Revision Notes
• A Level Maths · Exam Questions
• A Level Maths · Past Papers
• A Level Maths · Glossary
• Cambridge (CIE) A Level Maths: Pure 1 · Exam specification