Mathematics revision is different from revision in most other subjects. You cannot revise maths by reading notes or highlighting a textbook. Maths is a doing subject: you learn it by solving problems, and you get better at it by solving more problems, at increasing levels of difficulty, under increasingly realistic conditions. This guide covers the revision techniques that are most effective for maths at GCSE and A-Level, and lists the best free websites for practice questions, worked examples, and past papers.
In English or History, you build knowledge by reading, making notes, and constructing arguments. In Maths, you build knowledge by practising procedures until they become automatic, then applying them to unfamiliar problems. Reading through a method without working through examples yourself produces almost no learning. You might understand the steps when you see them, but understanding is not the same as being able to do it. The only way to find out whether you can actually solve a problem is to attempt it, with a blank page and no help, and see what happens.
This means that effective maths revision is active and self-testing from the start. It is not a subject where you read first and practise later. Practice is the revision.
The first step is to work out which topics you are weakest on. There is no point spending an hour practising topics you can already do fluently. Use a topic checklist (most exam boards publish these, and several of the websites listed below provide them) and rate yourself on each topic: confident, partly confident, or not confident. Then prioritise the "not confident" topics. This is where your time will have the most impact.
Another effective diagnostic method is to sit a past paper under timed conditions, mark it, and use the results to identify which topics caused you to lose marks. This is more honest than self-assessment because it forces you to confront what you cannot actually do under pressure, as opposed to what you think you can do when you have unlimited time and your notes in front of you.
The topics you instinctively avoid are almost always the ones you need to practise most. If you feel a knot of dread when you see "circle theorems" or "algebraic proof", that is a signal to prioritise it, not to skip it.
When you are learning or relearning a topic, begin with worked examples. Watch a video or read through a solution step by step, making sure you understand why each step follows from the previous one. Then close the solution and try a similar problem yourself. If you get stuck, look back at the worked example to find the step you missed, then try another problem without help. The cycle is: see it done, try it yourself, check, repeat. The ratio should shift over time: early on, you might need to check the worked example frequently. As you gain confidence, you should be able to complete problems without referring back.
Cramming all your algebra practice into one evening and then moving on to geometry the next day is less effective than spreading your algebra practice across several days. Spacing your practice forces your brain to retrieve the method each time, which strengthens your memory of it. A practical way to implement this is to do a short daily practice session (fifteen to twenty minutes) on a mix of topics rather than a long session on a single topic. The "5-a-day" resources available on several revision websites are designed for exactly this purpose.
Interleaving means mixing different types of problem within a single practice session rather than doing them in blocks. When you practise algebra for twenty minutes, then geometry for twenty minutes, then probability for twenty minutes, your brain learns to match each type of problem to the correct method. When a problem appears on the exam, you do not just need to solve it; you first need to recognise what type of problem it is. Interleaved practice trains this recognition skill, which blocked practice does not.
Past papers are the single most valuable revision resource for maths. They show you the exact format, style, and difficulty level of the questions you will face. But past papers are most useful when you do them properly: under exam conditions, without notes, with a timer running. Afterwards, mark your paper using the mark scheme, identify the questions you got wrong, and work through the solutions for those questions. Then, a few days later, attempt those specific questions again to check whether you have genuinely learned from the mistake.
Save the most recent two or three past papers for the final weeks before the exam. Use older papers for topic-based practice earlier in your revision. This way, your final practice papers give you the most accurate possible simulation of the real thing.
When you get a question wrong, do not just look at the correct answer and move on. Work out exactly where you went wrong. Was it a misread of the question? A procedural error? A gap in knowledge? A careless arithmetic mistake? Each type of error requires a different response. A knowledge gap means you need to go back and learn the topic. A procedural error means you need to practise the method more carefully. A misread means you need to slow down and underline key words in the question. An arithmetic error means you need to check your working more methodically.
Use a topic checklist or a timed past paper to identify the topics where you lose the most marks.
Watch a video or read a worked solution. Then attempt a similar problem on your own before checking.
Use 5-a-day exercises or topic-mixed worksheets to build retrieval and recognition skills through spaced, interleaved practice.
Mark them honestly, analyse your errors, and revisit the questions you got wrong a few days later.
The following websites are free (or have substantial free content) and are widely used by students and teachers across the UK. Each has different strengths, so it is worth exploring several to find the combination that works best for you.
corbettmaths.com is one of the most comprehensive free maths revision sites available. It offers short, clear video tutorials on every GCSE topic, accompanied by practice questions and answers. The "5-a-day" section provides daily sets of five questions at different levels (Foundation, Foundation Plus, Higher, Higher Plus, and Further Maths), which is an excellent tool for building consistent daily practice into your routine. Corbett Maths also provides revision cards, practice papers, and topic-specific worksheets. It is particularly strong for GCSE but also covers KS3 and primary-level content.
drfrost.org provides an enormous bank of practice questions, including past paper questions from AQA, Edexcel, and OCR, which can be attempted interactively online with instant marking and worked solutions. The platform covers everything from KS2 to A-Level Further Maths. If your school uses Dr Frost, your teacher can set homework and track your progress. Even without a school account, the key skills questions and topic resources are accessible. The video explanations are detailed and thorough, and the adaptive difficulty of the question sets makes it useful for students across the ability range.
mathsgenie.co.uk organises GCSE maths revision by grade level, so you can work through questions targeted at grades 1–3, 4–5, 6–7, or 8–9. Each topic comes with a video tutorial and a set of exam-style questions with answers. The grade-banded structure is helpful if you have a specific target grade and want to focus on the right level of difficulty. The site also hosts past papers from AQA and Edexcel with mark schemes.
savemyexams.com provides topic-by-topic revision notes, exam-style questions, and past papers across GCSE and A-Level Maths for all major exam boards. Some content requires a subscription, but a substantial amount is free. The revision notes are concise and clearly structured, and the questions are sorted by difficulty, making it easy to build up from accessible problems to exam-level challenges.
physicsandmathstutor.com is one of the largest collections of past papers, mark schemes, and topic-organised questions for GCSE and A-Level. Despite the name, it covers a wide range of subjects beyond physics and maths, including biology, chemistry, English, and history. For maths specifically, the past paper archive is extensive, and the questions-by-topic pages let you practise a single topic across multiple exam series. This is useful for targeting a specific weakness.
khanacademy.org offers free video courses covering mathematics from primary level through to university. The content is structured as a learning pathway, so you can work through topics in a logical sequence. While Khan Academy is based on the American curriculum, the mathematical content aligns closely enough with UK specifications to be useful for building understanding of core concepts. It is particularly helpful for students who need to go back to basics before tackling exam-level material.
desmos.com is a free online graphing calculator. It is not a revision site in the traditional sense, but it is a powerful tool for exploring mathematical concepts visually. You can plot functions, explore transformations, investigate the effects of changing coefficients, and check your graphwork. For topics such as quadratics, trigonometry, and transformations of graphs, Desmos helps you see what the algebra means. It is also allowed in some exam contexts as a checking tool during preparation.
revisionmaths.com collates past papers from all major UK exam boards for GCSE and A-Level Maths, with direct links to the papers and mark schemes. It is a useful hub if you want quick access to past papers without navigating each exam board's website individually.
The most common mistake is passive revision: reading through notes, watching videos without attempting problems, and looking at worked solutions without trying the question first. If you are not writing things down and solving problems with your own hand, you are not revising maths effectively.
The second most common mistake is avoiding your weakest topics. It is natural to gravitate toward topics you can already do because success feels good. But revision time spent on topics you have already mastered is largely wasted. The uncomfortable work of practising what you find hard is where the marks are gained.
The third mistake is doing past papers too early without having revised the individual topics first, or doing them too late without enough time to act on the results. The ideal approach is to use topic-based practice in the early and middle stages of revision, and switch to full past papers in the final two to three weeks.
Maths is not a spectator sport. You do not learn it by watching. You learn it by doing.
Build a routine that includes daily practice, honest self-assessment, and systematic attention to your weakest areas. The resources listed above are free and comprehensive. The only thing they cannot provide is the discipline to use them consistently. That part is up to you.