A-level Maths revision works best when you split it across the three strands every board examines: pure mathematics, statistics and mechanics. Start with a timed past paper to find your weak topics, revise those first, then build up to full papers under exam conditions and study the mark scheme for every question, including the ones you got right.
What does A-level Maths cover?
Before you can revise efficiently, you need a clear map of the subject. Every A-level Maths specification in England follows the same Department for Education subject content, so the core topics are very similar whichever board you sit. They fall into two strands.
Pure mathematics
Pure maths is the largest strand and underpins everything else. Topics include:
- Proof: proof by deduction, by exhaustion and by contradiction, and disproof by counter-example
- Algebra and functions: indices, surds, quadratics, polynomials, partial fractions and transformations of graphs
- Coordinate geometry: straight lines, circles and parametric equations
- Sequences and series: arithmetic and geometric sequences and the binomial expansion
- Trigonometry: radians, identities, small-angle approximations and inverse functions
- Exponentials and logarithms: natural logs and exponential models
- Differentiation and integration: including implicit and parametric differentiation, integration by parts and by substitution, and differential equations
- Numerical methods: including the Newton-Raphson method and the trapezium rule
- Vectors: in two and three dimensions
Pure maths rewards methodical practice. Each topic builds on earlier ones, so gaps compound quickly. That is why finding your weak areas early is the most useful thing you can do.
Applied mathematics: statistics and mechanics
Statistics and mechanics are both compulsory. There is no longer a choice between them.
Statistics topics include:
- Statistical sampling
- Data presentation and interpretation, including the large data set your board publishes
- Probability, including conditional probability
- The binomial and Normal distributions
- Statistical hypothesis testing
Mechanics topics include:
- Quantities and units
- Kinematics, including calculus and projectiles
- Forces and Newton's laws, including friction
- Moments
Revision tip: Many students under-prepare the applied content because it feels less familiar. Every board examines statistics and mechanics in the final papers, so leaving them to the last week is a costly mistake.
How is A-level Maths examined?
Every board sets three written papers of two hours, each worth 100 marks, sat in the same May/June series. There is no coursework. How pure, statistics and mechanics are split across the papers depends on the board, so check your own specification.
For AQA A-level Mathematics (7357), the specification Lift College teaches:
| Feature | Detail |
|---|---|
| Paper 1 | Pure mathematics, 2 hours, 100 marks, 33⅓% |
| Paper 2 | Pure mathematics plus mechanics, 2 hours, 100 marks, 33⅓% |
| Paper 3 | Pure mathematics plus statistics, 2 hours, 100 marks, 33⅓% |
| Total | 300 marks |
| Coursework | None, 100% examined |
| Calculator | Allowed in all three papers |
| Grades | A* to E |
| Exam series | May/June |
Grade boundaries are set after each series using your total mark across all three papers. You can see how they have moved in recent years in our A-level grade boundaries guide.
If you study online, you sit the same papers as school candidates at an exam centre. Our guide to A-level private exam centres explains how this works.
What is the best A-level Maths revision strategy?
There is no single magic method, but the same core principles come up again and again.
1. Diagnose before you revise
Do not start by re-reading your notes from the beginning. Instead:
- Sit a full past paper under timed conditions.
- Mark it honestly using the official mark scheme.
- Note every lost mark against its topic.
- Build your revision plan around your weakest topics first.
This way you spend your time where it makes the biggest difference.
2. Know your formula booklet
Every board provides a formula booklet in the exam, but it does not include everything, and knowing a formula is listed is not the same as knowing when to use it. Download your board's booklet, work through it during revision and mark up what is and is not provided. If you sit Edexcel, our Edexcel A-level Maths formula booklet guide walks through it section by section.
3. Practise past papers properly
Past papers are one of the most effective revision tools for A-level Maths, but only if you use them well:
| Less effective | More effective |
|---|---|
| Doing papers with notes open | Strict timed conditions, no notes |
| Skipping questions you find hard | Attempt every question, then review every error |
| Checking only the final answer | Read the mark scheme method, even when you got it right |
| Doing only the most recent papers | Mix recent and older papers for a wider range of question styles |
| Treating a paper as finished once marked | Re-attempt the questions you dropped a week later |
You can find papers by board and year in our A-level Maths past papers guide, or go straight to AQA, Pearson Edexcel or OCR. Sites such as Physics and Maths Tutor also group past paper questions by topic, which is useful for targeted practice.
4. Build a 12-week revision timetable
A timetable stops you over-revising comfortable topics and avoiding hard ones. Here is a framework to adapt:
| Weeks | Focus |
|---|---|
| Weeks 1 and 2 | Diagnostic paper and topic audit; start your weakest pure topics |
| Weeks 3 to 5 | Pure: algebra, functions, coordinate geometry, sequences and series |
| Weeks 6 and 7 | Pure: trigonometry, exponentials and logarithms |
| Weeks 8 and 9 | Pure: differentiation, integration and numerical methods |
| Week 10 | Statistics: distributions, hypothesis testing and the large data set |
| Week 11 | Mechanics: kinematics, forces, projectiles and moments |
| Week 12 | Full timed papers under exam conditions; review errors only |
If you are resitting, you may already know your weak areas and can shorten the diagnostic phase.
5. Master proof and "show that" questions
Questions that ask you to prove or show that a result is true are a common place to drop marks. To earn them:
- Write every line of working clearly, even when a step feels obvious.
- Say what you are doing at each stage.
- Never assume the result you are trying to show.
6. Give the applied content its own sessions
Set aside dedicated time for statistics and mechanics. High-value areas include:
Statistics:
- Normal distribution: standardising, finding probabilities and the inverse Normal
- Hypothesis testing: stating the null and alternative hypotheses correctly and concluding in context
- Conditional probability: Venn diagrams, tree diagrams and the formula P(A|B)
- Your board's large data set: know what it contains, because questions can refer to it
Mechanics:
- Constant acceleration (SUVAT): choosing the right equation for the unknowns
- Resolving forces, including on inclined planes
- Connected particles and pulleys
- Projectiles: separating horizontal and vertical motion
Which exam board is right for A-level Maths?
AQA, Pearson Edexcel and OCR all offer A-level Maths in England, and the core content is the same across them. The differences are mainly in how the papers are structured, the large data set used in statistics and the style of questions. If you are resitting, it usually makes sense to stay with the board you sat before so your earlier work still applies.
Lift College's online A-level Maths course follows the AQA 7357 specification. For a wider comparison of the boards, see UK exam boards explained.
What resources should I use for A-level Maths revision?
Free resources
- Official past papers and mark schemes from your board: always your primary resource
- Physics and Maths Tutor: past paper questions grouped by topic, with revision notes
- ExamSolutions: worked video solutions to past paper questions
- Desmos and GeoGebra: free graphing tools for exploring functions, transformations and calculus
Paid resources
- Revision guides: publishers such as CGP produce board-specific A-level Maths guides
- Supported online courses: a course with a tutor who marks your work gives you the feedback on method that is hard to get when you revise alone
How many UCAS points is A-level Maths worth?
A-level Maths carries the standard A-level UCAS tariff points:
| Grade | UCAS tariff points |
|---|---|
| A* | 56 |
| A | 48 |
| B | 40 |
| C | 32 |
| D | 24 |
| E | 16 |
A-level Maths is often required or preferred for degrees in mathematics, physics, engineering, computer science and economics. Requirements vary widely, so always check the entry requirements for each course on UCAS and the university's own website. Our UCAS points calculator can help you work out your total.
A-level Maths at a glance
| Feature | Detail |
|---|---|
| Subject | A-level Mathematics |
| Exam boards in England | AQA, Pearson Edexcel, OCR |
| Lift College specification | AQA 7357 |
| Assessment | Three written papers, 2 hours each, 100 marks each |
| Coursework | None |
| Grades | A* to E |
| UCAS points | 56 for an A*, 48 for an A |
| Exam series | May/June |
| Typical duration with Lift College | 12 to 18 months, studying at your own pace |
Study A-level Maths online with Lift College
Whether you are taking A-level Maths for the first time, resitting to improve your grade or returning to study as an adult, Lift College's online course fits around your life. You follow the AQA 7357 specification with a named UK tutor who marks your work, study at your own pace (most learners finish in 12 to 18 months), and on the +Exams plan we enter you and book your seat at a Tutors & Exams centre.
Plans start from £49.99 a month, and you can try the course free for 7 days.
Not sure which A-level is right for you? Talk to our UK advisers or browse all our online A-levels. You can also read what our learners say on Trustpilot.