A-level maths pure worksheets
Free A-level pure maths worksheets for Edexcel AS (8MA0) and A2 (9MA0): 33 topics, each with original exam-style questions, an answers sheet and solutions written out by hand, every line of algebra shown. Print them or answer online. No account needed.
Pure Mathematics is two thirds of the A-level: Paper 1 at AS, and Papers 1 and 2 of the full A-level are entirely pure. This page lists the 33 pure topics from our A-level maths library in teaching order, the 19 AS topics first and then the 14 A2 topics that build on them. Each sheet has about 12 original questions pitched at exam standard, an answers sheet and a solutions sheet written by hand that shows the working a printed mark scheme skips.
The topics follow the Edexcel specification, but the pure content is almost identical across AQA and OCR, so the sheets are usable for any board.
All 33 pure topics
AS topics are Year 12 and the first year of the full A-level; A2 topics are Year 13. A Year 13 student revising should expect both to be examined together.
AS Pure Mathematics (Year 1, Paper 1)
- Indices and surds
- Quadratic functions
- Quadratic and simultaneous equations
- Inequalities
- Sketching curves and transformations
- Straight lines
- Circles
- Algebraic division and the factor theorem
- Proof
- Binomial expansion
- Sine and cosine rules
- Trigonometric graphs and exact values
- Trigonometric identities and equations
- Vectors
- Differentiation: first principles and basic rules
- Tangents, normals and stationary points
- Integration
- Exponentials and logarithms
- Exponential models and logarithmic graphs
A-level Pure Mathematics (Year 2, Papers 1 and 2)
- Algebraic methods and partial fractions
- Functions
- Sequences and series
- Binomial expansion for any rational n
- Radians
- Reciprocal trigonometric functions
- Addition formulae, double angles and R sin(x + a)
- Parametric equations
- Differentiation
- Numerical methods
- Integration: further methods
- Differential equations and modelling
- Vectors in three dimensions
- Proof by contradiction
How to use the worksheets
Print it. Every topic has three PDFs: the worksheet, an answers sheet and a solutions sheet with every line of working written out by hand, including the algebra that printed mark schemes usually skip. Print the worksheet first and keep the solutions back until the questions have been attempted.
Or answer online. Open the topic page, type each final answer into the box and check it. The page marks it straight away and keeps your best score in this browser. Score 80% or more and the topic is ticked as done on the A-level library.
Use the solutions properly. At A-level most marks are method marks, so compare your working line by line rather than just the final answer. If a line differs, cover the solution and redo the question from that point. If the method was fine but the algebra slipped, note the slip and move on; that is a different problem from not knowing the method.
Keep a RAG sheet. The A-level RAG sheet colours each topic red, amber or green from your scores, so you can see which topics still need work before a mock or the real papers.
Frequently asked questions
- Which exam board are these written for?
- Edexcel, AS 8MA0 and A-level 9MA0, and the topic names follow the Edexcel textbooks. The pure content is set nationally, though, so the same topics are examined by AQA and OCR with only small differences in emphasis; the sheets work for any of the three.
- Can a Year 12 use the A2 topics?
- Not yet, in most cases: A2 topics such as partial fractions, the chain rule and integration by parts assume the AS work is done. A Year 12 should work down the AS list in order. A Year 13 revising for the full A-level needs both lists, since Papers 1 and 2 examine everything.
- How hard are the questions?
- Exam standard. Each sheet starts with routine questions to check the method and builds to questions of the length and difficulty found in the later part of an Edexcel paper. The solutions show every line, so a student stuck on a harder question can see how it is set up rather than only the answer.
- Are these a substitute for past papers?
- No, they are the step before. Past papers mix every topic and are best used once the topics are secure. Use a topic sheet to fix a weak area the RAG sheet shows as red, then a past paper to check it holds up under mixed conditions.