How to Revise IGCSE Maths Effectively – Evidence-Based Strategies

The Problem with How Most Students Revise

Most IGCSE Maths students revise by reading through their notes, highlighting key points, and perhaps watching a few YouTube videos. These methods feel productive — you spend time, you feel like you are learning — but decades of cognitive science research shows they are among the least effective study strategies.

The gap between how students typically revise and what actually works is enormous. The good news is that the most effective revision strategies are not harder or more time-consuming. They are just different. And once you understand them, you can revise smarter rather than longer.

Strategy 1: Practice Testing (The Most Powerful Technique)

Practice testing means attempting questions without looking at the answers or your notes first. It is the single most effective study technique identified by researchers, and it is perfectly suited to maths revision.

Why it works: When you retrieve information from memory, you strengthen the neural pathways that store that information. Every time you successfully recall a method or solve a problem from memory, you make it easier to do so again in the future. This is called the testing effect, and it is one of the most robust findings in cognitive science.

How to apply it:

• Instead of reading through worked examples, close your book and attempt similar questions from memory.
• Use past paper questions as your primary revision tool.
• When you finish a practice question, check the mark scheme immediately. If you got it wrong, study the correct method, then try a similar question without looking.
• Create flashcards for formulae and key methods. Test yourself regularly rather than simply reading them.

The key insight: It should feel difficult. If revision feels easy, you are probably not learning much. The effort of trying to recall a method is exactly what makes practice testing so effective.

Strategy 2: Spaced Repetition (Beat the Forgetting Curve)

Spaced repetition means spreading your revision of each topic over time rather than cramming it all into one session.

Why it works: After you learn something, you begin forgetting it almost immediately. This is called the forgetting curve, and it is a universal feature of human memory. However, each time you revisit the material, you forget it more slowly. By spacing out your revision sessions, you take advantage of this effect and build long-term retention.

How to apply it:

• After studying a topic, review it again after one day, then after three days, then after one week, then after two weeks.
• Keep a simple revision log: write down what you studied and when, so you know when each topic is due for review.
• Do not wait until you have completely forgotten a topic to revisit it. The ideal time to review is just as you are starting to forget — when it requires effort to recall but is not yet lost.

Practical example: If you study trigonometry on Monday, do a few trigonometry questions on Tuesday, then again on Thursday, then the following Monday. Each review session can be short — even 10-15 minutes is effective.

Strategy 3: Interleaving (Mix Your Topics)

Interleaving means mixing different topics within a single revision session rather than practising one topic exclusively.

Why it works: When you practise one topic for an extended period (called “blocking”), you know what method to use before you even read the question. This feels easy and productive, but it does not prepare you for the exam where questions from different topics appear in random order. Interleaving forces you to identify which method to use, which is a crucial exam skill.

How to apply it:

• Instead of spending an hour on algebra followed by an hour on geometry, alternate between the two within each session.
• Use mixed-topic practice papers rather than topic-specific worksheets.
• When you create a set of practice questions, deliberately include questions from several different topics.

Warning: Interleaving feels harder and slower than blocked practice. Students often feel like they are performing worse when interleaving. But the research is clear: despite feeling less effective, interleaving produces better long-term learning and better exam performance.

Strategy 4: The Worked Example Effect

The worked example effect describes the finding that studying carefully explained solutions is more effective than attempting problems independently when you are first learning a topic.

Why it works: When a topic is completely new to you, your working memory is overwhelmed by trying to figure out the method and perform the calculations simultaneously. Studying a worked example allows you to focus entirely on understanding the method without the cognitive load of problem-solving.

How to apply it:

• When encountering a new topic for the first time, study 2-3 worked examples carefully before attempting questions independently.
• As you study each example, ask yourself: “Why did they do this step? What would happen if they had done something different?”
• Once you understand the method from the examples, immediately switch to practice testing (attempting questions without looking at solutions).

Important transition: The worked example effect only applies when a topic is new to you. Once you understand the method, continuing to study worked examples becomes less effective than independent practice. The key is to transition from studying examples to practising independently as quickly as possible.

Strategy 5: Elaborative Interrogation (Ask “Why?”)

Elaborative interrogation means asking yourself “why” and “how” questions as you study, rather than passively absorbing information.

Why it works: When you explain something to yourself, you build deeper understanding and create more connections in your memory. These connections make the information easier to retrieve during the exam.

How to apply it:

• After learning a method, ask yourself: “Why does this method work?”
• When you see a formula, ask: “Where does this come from? Can I derive it?”
• When you get a question wrong, ask: “Why did I make this mistake? What was I thinking? How can I avoid this next time?”
• Try explaining a method out loud as if you were teaching it to someone else. If you cannot explain it clearly, you do not understand it well enough.

Putting It All Together: A Weekly Revision Plan

Here is how to combine these strategies into a practical weekly revision schedule:

Monday to Friday (1-2 hours per day):

• Start with 15 minutes of spaced review: revisit topics you studied in previous sessions using flashcards or quick practice questions.
• Spend 30-45 minutes on focused study using worked examples (for new topics) or practice testing (for topics you have already learned).
• Finish with 15-30 minutes of interleaved practice: mixed questions from several different topics.

Weekend (2-3 hours one day):

• Complete a full past paper under timed conditions (practice testing).
• Mark it using the mark scheme and analyse your mistakes (elaborative interrogation).
• Update your revision plan based on what you got wrong (spaced repetition scheduling).

What to Stop Doing

Just as important as adopting effective strategies is abandoning ineffective ones:

• Stop re-reading notes. Reading is passive and produces minimal learning.
• Stop highlighting. Research shows highlighting does not improve exam performance.
• Stop watching videos without practising. Videos are useful for initial understanding but are no substitute for doing questions.
• Stop cramming. Last-minute cramming produces short-term recall that fades quickly. Spaced practice produces lasting knowledge.

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