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A-Level Maths Revision Notes

Complete revision notes covering Pure Mathematics, Statistics, and Mechanics. Perfect for AS and A2 revision.

30+ Topic Guides
All Free Downloadable PDFs
3 Modules Pure, Stats & Mechanics
AS

Algebraic Expressions

Master algebraic manipulation, expansion, and factorization techniques.

What's Included:
  • Laws of Indices
  • Expanding Brackets
  • Factorizing Expressions
  • Algebraic Fractions
  • Partial Fractions
10 pages 25 min read
AS

Differentiation

Learn differentiation rules and applications to problems.

What's Included:
  • Basic Differentiation
  • Chain, Product & Quotient Rules
  • Stationary Points
  • Applications to Optimization
  • Tangents & Normals
12 pages 30 min read
AS

Integration

Master integration techniques and definite integrals.

What's Included:
  • Basic Integration
  • Integration by Substitution
  • Integration by Parts
  • Definite Integrals
  • Area Under Curves
11 pages 28 min read
AS

Trigonometry

Advanced trigonometric identities and equations.

What's Included:
  • Trigonometric Identities
  • Solving Trig Equations
  • Compound Angle Formulas
  • R-α Transformations
  • Reciprocal Functions
9 pages 22 min read
A2

Exponentials & Logarithms

Master exponential and logarithmic functions.

What's Included:
  • Laws of Logarithms
  • Exponential Functions
  • Natural Logarithms (ln)
  • Solving Log Equations
  • Exponential Growth & Decay
8 pages 20 min read
A2

Vectors

Vector algebra in 2D and 3D space.

What's Included:
  • Vector Notation & Operations
  • Scalar (Dot) Product
  • Vector Equations of Lines
  • 3D Vectors
  • Applications to Geometry
10 pages 25 min read
AS

Statistical Sampling

Sampling methods and data representation.

What's Included:
  • Types of Sampling
  • Measures of Location
  • Measures of Spread
  • Outliers
  • Data Presentation
7 pages 18 min read
AS

Probability

Probability theory and conditional probability.

What's Included:
  • Basic Probability Rules
  • Conditional Probability
  • Venn Diagrams
  • Tree Diagrams
  • Independent Events
8 pages 20 min read
A2

Statistical Distributions

Binomial and Normal distributions.

What's Included:
  • Binomial Distribution
  • Normal Distribution
  • Z-scores & Tables
  • Normal Approximations
  • Hypothesis Testing
10 pages 25 min read
AS

Kinematics

Motion in one and two dimensions.

What's Included:
  • Displacement, Velocity & Acceleration
  • SUVAT Equations
  • Graphs of Motion
  • Projectile Motion
  • Variable Acceleration
9 pages 22 min read
AS

Forces & Newton's Laws

Force analysis and applications of Newton's laws.

What's Included:
  • Newton's Laws of Motion
  • Resolving Forces
  • Friction
  • Connected Particles
  • Inclined Planes
10 pages 25 min read
A2

Moments & Statics

Moments, equilibrium, and centers of mass.

What's Included:
  • Moments & Equilibrium
  • Centre of Mass
  • Toppling & Sliding
  • Rigid Body Mechanics
  • Frameworks
8 pages 20 min read

A-Level Maths Formula Sheet

Download our comprehensive formula sheet with all the key formulas for Pure, Statistics, and Mechanics. Color-coded by module for easy reference.

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