Pure Mathematics (A Level)
10
specification units
43
named subtopics
Year 12–Year 13
year groups
Pearson Edexcel A Level Pure Mathematics (A Level) is organised here into 10 specification units covering 43 named subtopics, studied across Year 12–Year 13. The units are Proof, Algebra & Functions, Coordinate Geometry, Sequences & Series, Trigonometry, Exponentials & Logarithms, Differentiation, Integration, Numerical Methods and Vectors.
Each subtopic is tagged on the question bank, so you can practise one skill at a time, sit a full Edexcel A Level past paper, or build a mixed worksheet from several units at once. Answers are checked against the Pearson Edexcel A Level mark scheme, awarding method, accuracy and final-answer marks separately so you can see exactly where marks were lost.
Algebra & Functions is the widest unit on this specification with 6 subtopics, so it is usually the highest-value place to start revision.
How Pearson Edexcel A Level Pure Mathematics (A Level) is examined
Edexcel A Level Pure Mathematics is the largest single block of content in the qualification and the strongest predictor of the overall grade. The step up from AS is in synthesis: questions combine calculus, trigonometry and algebra inside one problem rather than testing them separately.
Assessment at a glance
- •Pure content dominates the A Level papers, with applied statistics and mechanics assessed separately.
- •Calculator permitted, but exact-form answers, proofs and modelling justifications are written to require analytic work.
- •Longer multi-part questions reward clear structure; examiners award method marks for a correct approach even where the arithmetic fails.
Where marks are most often lost
- •Parametric and implicit differentiation, especially where a chain of substitutions is needed.
- •Integration by parts and by substitution, where the choice of substitution is the whole question.
- •Proof by contradiction and proof by induction-style reasoning, where the logical structure is marked, not just the algebra.
- •Trigonometric identities in unfamiliar disguise — R-form, double angle and small-angle approximations.
What to revise first: Calculus first — differentiation techniques then integration techniques — followed by trigonometry and functions. Sequences, series and numerical methods are quicker wins once calculus is secure.
Proof
- Proof by deduction
- Proof by exhaustion
- Disproof by counterexample
- Proof by contradiction
Algebra & Functions
- Indices & surds
- Quadratics
- Simultaneous equations & inequalities
- Polynomials
- Functions & transformations
- Partial fractions
Coordinate Geometry
- Straight lines
- Circles
- Parametric equations
Sequences & Series
- Binomial expansion
- Arithmetic series
- Geometric series
- Recurrence relations
Trigonometry
- Trig ratios & graphs
- Identities
- Radians
- Compound & double angles
- Solving equations
Exponentials & Logarithms
- Exponential models
- Logarithms
- Natural log & e
- Modelling with logs
Differentiation
- First principles
- Rules of differentiation
- Stationary points
- Implicit & parametric
- Applications
Integration
- Indefinite & definite
- Areas under curves
- Integration by parts & substitution
- Differential equations
Numerical Methods
- Location of roots
- Iteration
- Newton-Raphson
- Numerical integration
Vectors
- 2D & 3D vectors
- Magnitude & direction
- Position vectors
- Geometric problems
How to revise Edexcel A Level Pure Mathematics (A Level)
- 1
Diagnose with one mixed set
Start with a mixed set drawn from all 10 units to find where Pure Mathematics (A Level) marks are actually being lost, rather than revising what already feels comfortable.
- 2
Drill unit by unit
Work through the subtopics in order, from Proof to Vectors, doing short focused sets rather than long unfocused sessions.
- 3
Sit a full past paper under timing
Once two or three units are solid, sit a complete Edexcel A Level Pure Mathematics (A Level) paper to timing and mark it against the official mark scheme.
- 4
Re-practise only the dropped marks
Convert every dropped mark into a targeted set on that subtopic, then re-test it a week later to check the fix stuck.
Continue with Pure Mathematics (A Level)
Every board and level we cover for this subject
A Level MathematicsSearchable formula sheet with worked micro-examples
Predicted papersPractice papers built from the topics that recur most
Past paper practiceSit whole papers online with examiner-grade marking
Other specifications for this subject
Pure Mathematics (A Level) — frequently asked questions
Everything students and parents ask about revising Edexcel A Level Pure Mathematics (A Level).
The fastest route is past-paper-first revision: practise exam-style questions by topic, mark every answer against the real Pearson Edexcel A Level mark scheme, then drill the topics where you lose marks. On MathsGradeUp you can do all of this for Pure Mathematics (A Level) in one place — topic practice, full past papers and instant examiner-grade feedback.
Pearson Edexcel A Level Pure Mathematics (A Level) is mapped to the official specification and covers 10 units, including Proof, Algebra & Functions, Coordinate Geometry, Sequences & Series, Trigonometry, Exponentials & Logarithms and more. Every unit is broken down into subtopics so you can target exactly what you need to revise.
Yes. You can open full Edexcel A Level Pure Mathematics (A Level) past papers, write directly on them with pen and maths tools, save your work, export a PDF, and submit for examiner-grade marking against the mark scheme.
Yes — our predicted papers for Pure Mathematics (A Level) are assembled from the topics that recur most in Pearson Edexcel A Level exams and the topics you have practised least. They are a revision aid built from the specification, not leaked content.
Each answer is checked against the real Pearson Edexcel A Level mark scheme, awarding method, accuracy and final-answer marks the way a real examiner would. You see exactly where marks were earned or dropped, with feedback you can act on.
Pure Mathematics (A Level) on the Pearson Edexcel A Level specification is aimed at Years 12–13. You can filter practice by year group and topic so the questions always match where you are in the course.
Yes. The Pure Mathematics (A Level) content follows the current Pearson Edexcel A Level specification, including all units and subtopics, so what you practise reflects what you will actually be examined on.
Yes — Pure Mathematics (A Level) practice, past papers and marking are free during our early launch period. Subscription plans may be introduced later, but launch users get full access now.
You do not just get an answer to copy. Pure Mathematics (A Level) marking guides you with hints, worked steps and mark-scheme-based feedback so you understand the method and pick up the marks yourself next time. Questions are tagged calculator and non-calculator so you can practise exactly the way each paper is sat.
Yes. Parents and tutors can see completed Pure Mathematics (A Level) practice, accuracy, weak topics and overall exam readiness, making it easy to support revision and focus on the right areas.
Short, regular sessions beat occasional long ones. Aim for a few focused Pure Mathematics (A Level) sessions a week, always finishing by marking your work so each session ends with clear next steps. The progress dashboard shows what to revise next.