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How to Revise A-Level Mathematics

Master A-Level Maths with adaptive practice on pure mathematics, statistics, and mechanics. Exam-style questions with full worked solutions.

Revision Strategy

Revising Mathematics effectively comes down to active problem-solving rather than passive reading. Simply re-reading notes or watching worked examples gives you a false sense of confidence. Instead, attempt questions from scratch, check your answers, and then carefully work through any mistakes. This cycle of attempt, check, and correct is what builds genuine mathematical fluency.

Focus on building strong foundations before tackling harder material. If you are struggling with a complex topic, it is almost always because an earlier concept is not secure. For example, confidence with algebraic manipulation is essential before you can handle simultaneous equations or calculus. Identify the prerequisite skills for any topic you find difficult and shore those up first.

Practise under timed conditions regularly. Mathematics exams reward speed as well as accuracy, and many students who understand the material still run out of time because they have not practised working efficiently. Set yourself mini-tests of five or ten questions and aim to complete them within a set time, gradually reducing the allowance as you improve.

Study Tips for A-Level Mathematics

  • Work through past paper questions by topic immediately after revising each area — A-Level Maths is learned by doing, not by reading.
  • Build a formula sheet from memory for each module and test yourself regularly, as the formula booklet only covers some results and you must know key identities by heart.
  • When revising mechanics, always draw a clear force diagram before writing any equations — this prevents sign errors and helps you identify which forces are acting.
  • For statistics, practise interpreting context-based questions carefully. Examiners test whether you can choose the correct distribution and justify your modelling assumptions in words.

Exam Tips for A-Level Mathematics

  • Show every step of your working clearly. A-Level Maths papers award method marks even if your final answer is wrong, so never skip steps to save time.
  • If you are stuck on a multi-part question, move on and come back — later parts often use a given result from earlier, so you can still pick up marks even if you could not complete part (a).
  • Read the question carefully for command words like hence (you must use the previous result) versus hence or otherwise (you can use any valid method). Using the wrong approach can cost you time.

Topics to Cover

10 topics in A-Level Mathematics

Pure Mathematics
Algebra & Functions
Calculus
Trigonometry
Vectors
Statistics
Mechanics
Proof
Sequences & Series
Numerical Methods

Available Exam Boards

A-Level Mathematics specification guides for each exam board

Frequently Asked Questions

How hard is A-Level Maths compared to GCSE? +
A-Level Maths is a significant step up from GCSE. The content is more abstract, problems require multi-step reasoning, and you need to apply concepts in unfamiliar contexts. Most students who achieved a grade 7 or above at GCSE adapt well, but consistent practice is essential.
How many exams are there in A-Level Maths? +
A-Level Maths typically consists of three two-hour written exams. Two papers cover pure mathematics content (calculus, algebra, trigonometry, proof) and one paper covers statistics and mechanics combined.
What careers does A-Level Maths lead to? +
A-Level Maths opens doors to careers in finance, engineering, data science, actuarial work, software development, accounting, economics, and research science. It is one of the most versatile qualifications for both university and employment.
Do I need Further Maths as well as Maths for university? +
Further Maths is required for some mathematics and engineering courses at top universities such as Cambridge, Imperial, and Warwick. For most other courses, A-Level Maths alone is sufficient, though Further Maths strengthens your application and better prepares you for degree-level content.

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