How to revise for GCSE maths: A topic-by-topic guide

GCSE maths rewards practice more directly than almost any other subject. There is a finite set of topics, a limited set of question styles that come up year after year, and a well-defined mark scheme that tells you exactly what earns method marks. If you know your topics and drill past papers, the grades follow.

The hard part is doing the practice in a way that builds skill, not familiarity. This guide walks through the main topic areas, the non-calculator versus calculator split, and how to structure past paper practice so it teaches you something. It applies to AQA, Edexcel, and OCR, whose specs overlap heavily.

3 – Papers. Make up GCSE maths on all three main boards: One non-calculator paper and two calculator papers, each 1 hour 30 minutes and worth 80 marks (AQA and Edexcel) or 100 marks (OCR J560)

GCSE maths on all the major boards splits across the same broad topic areas: Number, algebra, ratio and proportion, geometry and measures, probability, and statistics. The exam does not group questions by topic; a single paper bounces between them. Your revision needs to bounce with it.

You will sit either the foundation tier (grades 1 to 5) or the higher tier (grades 4 to 9). Foundation covers the same core topics but stops short of surds, algebraic fractions, quadratic sequences, circle theorems, and rate of change. If you are aiming for grade 5 or above, you are almost certainly on higher; if grade 4 is your target, foundation gives you a better chance. Check with your teacher and revise from tier-specific past papers.

Paper 1 is non-calculator on all three main boards. It is worth a third of your total grade and catches most students out because you cannot fall back on a calculator to rescue an arithmetic slip. Our dedicated non-calculator guide covers the strategy in more depth.

You need automatic recall of a core set of facts: Times tables up to 12 by 12, square numbers up to 15 squared, cube numbers up to 5 cubed, common fraction-decimal-percentage conversions, and the first few powers of 2. If any feel shaky, five minutes of daily drill will fix them in a few weeks.

Beyond mental facts, practise the written methods you rely on: Long multiplication, short and long division, and column addition and subtraction with decimals. Choose one method for each and stick to it. Estimation questions appear on almost every non-calc paper. Round each number to one significant figure, do the simplified calculation, and give your answer. Estimate before any calculation, calc or non-calc, so you can spot when your answer looks wildly wrong.

Papers 2 and 3 allow a calculator, but this does not mean you can stop showing working. Most calculator questions still award method marks, and losing them on avoidable slips is one of the fastest ways to drop a grade.

Get comfortable with the model you will use. The Casio fx-83 or fx-85 is the most common and has functions for standard form, fractions, statistics, and trigonometry that save serious time. Practise the fraction, standard form, and memory buttons until they are automatic.

Calculator papers tend to have longer multi-mark questions, especially in the second half. If a five-mark question is not making progress after five minutes, move on and come back. A blank page scores zero; a half-attempted answer often picks up two or three method marks. Topics that lean heavily on calculator use include trigonometry, statistics (mean from grouped data), compound interest, and Pythagoras with awkward numbers.

Algebra appears in more questions than the topic label suggests. Rearranging formulae comes up in physics-style questions, straight line graphs in real-life graph questions, and solving equations underpins ratio, geometry, and probability across both tiers.

At foundation, the priorities are expanding single brackets, factorising simple expressions, solving linear equations, substituting into formulae, and finding the nth term of a linear sequence. Get these fluent and you have a large chunk of the paper covered.

At higher, add expanding double brackets, factorising quadratics (including the difference of two squares), solving quadratic equations (factorising, completing the square, quadratic formula), simultaneous equations, algebraic fractions, and rearranging harder formulae. These carry heavy marks in the back half. Rule of thumb: If you cannot do algebra fluently, you cannot fully access the higher paper.

For maths, past papers are not one revision technique among many. They are the core of the routine. Nothing else builds exam readiness in the same way, because past papers combine timed practice, topic interleaving, and mark-scheme calibration at once.

Start with topic-specific practice on your weakest areas (our most common topics guide is a good starting point), then move to full timed papers around six weeks out. Sit them under real conditions: Timer running, no phone, calculator only on the calculator papers. Our year-11 revision timetable sets out a six-month plan for fitting maths practice alongside your other subjects.

Mark strictly using the exam board's own mark scheme. Do not give yourself the benefit of the doubt on setting out or method. After each paper, keep an error log: For every question you dropped marks on, note the topic, the specific mistake, and one thing to do differently. Then work through similar questions until the error stops repeating.

Method marks are under-used in GCSE maths. On multi-mark questions, you can often score two out of three even if your final answer is wrong, as long as your method is clear enough that the examiner can follow it.

Set out each step on a new line with equals signs aligned. For long multiplication and division, show grid or column workings in full. For simultaneous equations, write out what you multiplied each equation by and what you subtracted. For trigonometry, write the formula before you plug in numbers. If a question asks you to explain, prove, or justify, write in sentences as well as maths: A single line of "co-interior angles sum to 180 degrees" often carries a mark that a blank line does not.

Foundation and higher share core content, but the emphasis differs. Foundation leans harder on number, ratio, basic algebra, and statistics. Higher pushes further into algebra (quadratics, algebraic fractions, iteration), geometry (circle theorems, sine and cosine rules), and probability (conditional probability, without-replacement tree diagrams).

On foundation, marks are spread evenly. If you are aiming for grade 4 or 5, focus on answering the first two thirds accurately rather than trying to crack the hardest questions. On higher, the back third of the paper carries the marks that separate grade 6 from grade 9. Full attempts at harder questions, even with imperfect method, tend to score better than perfect answers to easier ones already secured. Whichever tier you are on, use tier-appropriate past papers and mark schemes.