A-Level Mathematics
Pure Mathematics
Pure Mathematics is a core strand in Mathematics. Work through the topics below in any order, or follow your course — each guide includes explanations, common mistakes and exam-style practice.
Topic guides
Proof
Proof in A-Level Mathematics involves using logical deduction to demonstrate the truth of a mathematical statement.
Open guideAlgebra & Functions
Algebra and functions at A-Level involve manipulating complex algebraic expressions and understanding the behaviour of various functions.
Open guideCoordinate Geometry
Coordinate geometry at A-Level involves the study of geometric shapes and figures using coordinates.
Open guideSequences & Series
Sequences and series at A-Level Maths deal with arithmetic and geometric progressions.
Open guideTrigonometry
A-Level Trigonometry expands on GCSE concepts to include the study of trigonometric functions, their graphs, and identities.
Open guideExponentials & Logarithms
Exponentials and logarithms at A-Level explore the relationship between exponential growth/decay and their inverse functions, logarithms.
Open guideDifferentiation
Differentiation at A-Level is the process of finding the derivative or gradient of a function.
Open guideIntegration
Integration at A-Level is the reverse process of differentiation and is used to find the area under a curve.
Open guideNumerical Methods
Numerical methods at A-Level are techniques used to find approximate solutions to mathematical problems that are difficult or impossible to solve analytically.
Open guideVectors
Vectors at A-Level are used to represent quantities that have both magnitude and direction.
Open guide
Revision strategy
Students often slip on the details explained in our guides — read the “common mistakes” section in each topic.
- Alternate between reading a guide and doing timed questions — don’t only re-read notes.
- Return to this hub anytime; new guides appear automatically as we publish them.