A-level Maths
AS in Year 12, and the full A-level over Years 12 and 13.
Topics
Topics marked A-level aren't in AS.
1 Proof 2 topics
- Proof Methods
- Proof by Contradiction A-level
2 Algebra and Functions 9 topics
- Indices and Surds
- Quadratics
- Simultaneous Equations and Inequalities
- Polynomials and Algebraic Division
- Rational Expressions and Partial Fractions A-level
- Graphs of Functions
- Transforming Graphs
- Composite and Inverse Functions A-level
- Functions in Modelling A-level
3 Coordinate Geometry 4 topics
- Straight Lines
- Circles
- Parametric Equations A-level
- Parametric Modelling A-level
4 Sequences and Series 6 topics
- Binomial Expansion
- Binomial Expansion for Rational Powers A-level
- Sequences and Recurrence Relations A-level
- Sigma Notation and Series A-level
- Arithmetic and Geometric Series A-level
- Sequences and Series in Modelling A-level
5 Trigonometry 7 topics
- Trigonometric Ratios and Rules
- Radians and Small Angle Approximations A-level
- Trigonometric Graphs and Exact Values
- Trigonometric Functions and Identities A-level
- Trigonometric Equations
- Trigonometric Formulae and Proof A-level
- Trigonometry in Context A-level
6 Exponentials and Logarithms 4 topics
- Exponential Functions
- Logarithms and Log Laws
- Solving Exponential Equations
- Exponential Models and Logarithmic Graphs
7 Differentiation 7 topics
- Derivatives and Gradients
- Differentiation from First Principles
- Differentiating Powers, Exponentials and Trigonometric Functions A-level
- Stationary Points and Curve Sketching
- Product, Quotient and Chain Rules A-level
- Implicit and Parametric Differentiation A-level
- Differential Equations in Context A-level
8 Integration 8 topics
- Integration Basics
- Definite Integrals and Area Under a Curve
- Area Between Curves A-level
- Integration as a Limit of a Sum A-level
- Integration by Substitution and by Parts A-level
- Integration Using Partial Fractions A-level
- Differential Equations by Separation of Variables A-level
- Differential Equation Models A-level
9 Numerical Methods 4 topics
- Locating Roots A-level
- Iteration and Newton-Raphson A-level
- Numerical Integration A-level
- Numerical Methods in Context A-level
10 Vectors 4 topics
- Vectors in 2D
- Vectors in 3D A-level
- Vector Arithmetic and Geometry
- Vector Problem Solving
11 Statistical Sampling 1 topic
- Populations, Samples and Sampling Methods
12 Data Presentation & Interpretation 4 topics
- Statistical Diagrams
- Scatter Graphs and Correlation
- Measures of Central Tendency and Spread
- Standard Deviation, Outliers and Data Cleaning
13 Probability 3 topics
- Probability Laws and Combined Events
- Conditional Probability A-level
- Probability Modelling A-level
14 Statistical Distributions 3 topics
- Discrete Distributions and the Binomial Model
- The Normal Distribution A-level
- Choosing Statistical Models A-level
15 Statistical Hypothesis Testing 4 topics
- Hypothesis Testing with the Binomial Distribution
- Significance, Critical Regions and P-Values
- Hypothesis Testing with the Normal Distribution A-level
- Correlation in Hypothesis Testing A-level
16 Quantities and Units 2 topics
- Units and Quantities in Mechanics
- Moments A-level
17 Kinematics 5 topics
- Kinematics Basics
- Kinematics Graphs
- Constant Acceleration
- Kinematics with Calculus
- Motion in Two Dimensions and Projectiles A-level
18 Forces & Newton's Laws 5 topics
- Forces and Newton's Laws
- Weight, Equilibrium and Connected Particles
- Resolving Forces and Coplanar Forces A-level
- Dynamics in a Plane A-level
- Friction A-level
19 Moments 1 topic
- Moments in Statics A-level
Exam papers
- Two exam-style papers for every topic
- Two topic exams for most chapters in each tier, 1 hour 15 minutes each
- AS mock papers: Pure Mathematics (2 hours), and Statistics and Mechanics (1 hour 15 minutes). A-level mock papers: Pure Mathematics 1, Pure Mathematics 2, and Statistics and Mechanics, 2 hours each.
- Topic exams and mock papers show the grade you're working at
- In all, over 1,600 exam-style questions in 233 papers
Free and paid
Practice
- Over 900 practice questions, with worked solutions
- Recap cards for every topic
- A formula book
- One topic exam to try in each tier: Algebra & Functions Topic Exam 1
Exam papers
- Every exam paper on this page
- AS and the full A-level
- Pay once, no subscription
Exam boards
Covers all of England's national A-level Maths content, which every exam board in England shares.
Mock papers are set out like a typical exam paper. Your board's papers may be arranged differently, but the maths is the same.
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