A complete guide to OCR GCSE Maths

OCR GCSE Maths (specification J560) is the third major exam board for the qualification, used by a sizeable minority of schools in England. The structure mirrors AQA and Edexcel closely – three papers at the end of Year 11, no coursework – but the question style has a slightly different flavour, with OCR often leaning more into problem-solving contexts.

This guide covers how the OCR papers are structured, the six topic areas and their weightings, what's on the formula sheet (and what you'll still need to memorise), and the revision techniques that move the needle on a maths grade.

OCR GCSE Maths is fully linear: All three papers are sat at the end of Year 11, typically across May and June. There is no controlled assessment, no coursework, and no module-based testing. Your final grade comes entirely from the three written papers.

All three papers are the same length, carry the same number of marks, and contribute equally to the final grade. The only structural difference is the calculator: One of the three papers is non-calculator (J560/02 at Foundation, J560/05 at Higher); the other two allow a calculator. The same six topic areas are tested across all three papers.

All three OCR papers test the same six topic areas. Weightings shift between tiers: Foundation leans more on Number and Ratio, Higher leans harder on Algebra and Geometry. Ofqual's GCSE Maths subject content sets the approximate weightings below across boards (OCR doesn't publish per-paper topic weightings).

Around 15% of marks at Higher and 25% at Foundation. Covers integers, fractions, decimals, percentages, indices, standard form, rounding, and estimation. Higher tier adds surds and error bounds. Solid number skills underpin almost every other topic, so weakness here costs marks across the whole paper.

Around 30% of marks at Higher and 20% at Foundation. Simplifying, expanding, factorising, solving linear and quadratic equations, simultaneous equations, inequalities, sequences, and graphs. Higher tier adds algebraic fractions, completing the square, and proof. This is where Higher candidates gain the most over Foundation.

Around 20% of marks at Higher and 25% at Foundation. Sharing in a ratio, scaling, direct and inverse proportion, percentage change, compound measures (speed, density, pressure), and growth and decay. OCR has a reputation for setting wordy multi-step problems here, so careful reading is essential.

Around 20% of marks at Higher and 15% at Foundation. Angles, polygons, area and volume, Pythagoras, basic trigonometry, transformations, and constructions. Higher tier adds circle theorems, vectors, and trigonometry of non-right-angled triangles. Always sketch a diagram if one is not provided.

Around 15% of marks at both Higher and Foundation, combined into a single weighting per the Ofqual subject content. Probability covers basic probability, tree diagrams, Venn diagrams, expected outcomes, and (Higher only) conditional probability. Statistics covers averages from lists and tables, scatter graphs, pie charts, box plots, and cumulative frequency. Higher tier extends to histograms with unequal class widths. Tree diagrams and cumulative-frequency questions are among the more predictable mark-grabbers on the paper.

OCR provides a formula sheet on every J560 paper for the 2025, 2026 and 2027 exam series (extended from the original COVID-era arrangement; Ofqual is consulting on continuing the provision beyond 2027).

The sheet covers a wide range of formulae you no longer need to memorise: the area and circumference of a circle, Pythagoras' theorem, the basic trigonometric ratios (SOH CAH TOA), the compound interest formula, the area of a trapezium, the volume of a prism and standard 3D shapes, and – on the Higher tier sheet – the quadratic formula, the sine and cosine rules, and the area of a triangle using sine. The main thing genuinely NOT on the sheet (and that you still need to memorise) is the equation of a straight line, y = mx + c. Anything else needed for a specific question will be given in the question itself.

Equipment for the day: Black pen, pencil, ruler, protractor, pair of compasses, eraser, and a scientific calculator for Papers 1 and 3 (or Papers 4 and 6 at Higher). The Casio fx-83 and fx-85 are common choices.

OCR GCSE Maths is tiered. Higher Tier targets grades 4-9 with a safety net at grade 3 for students who narrowly miss grade 4. Foundation Tier targets grades 1-5 and is capped at grade 5. The two tiers have separate papers, not just different questions.

Your school enters you for one tier, based on your performance in mocks. A rough guide: Consistently scoring above 60% on Higher mocks means Higher is the right choice. Below 30% on Higher mocks, Foundation is usually safer – a grade 5 is a grade 5 on either tier.

Grade boundaries shift every year depending on how difficult the papers were. OCR publishes the official boundaries on results day each August.

Maths revision is different from most other subjects. You cannot improve by re-reading notes – you have to do questions. The students who hit top grades are the ones who treat revision as a daily practice habit, not a cramming exercise.

Paper 2 is where most students leak marks they did not need to lose. Long multiplication, long division, fraction arithmetic, and percentage calculations without a calculator all need to be reflexes. Ten minutes a day will do more for your Paper 2 score than a single three-hour session the week before the exam.

Doing past papers and stacking them on a shelf is wasted work. Mark each paper honestly, list every topic you dropped marks on, then revise those topics before doing the next paper. The biggest score jumps tend to come once you start fixing recurring weaknesses, not from just doing more papers.

OCR provides a formula sheet on every J560 paper (confirmed for 2025–2027). Spend an hour with a copy and highlight what's printed: circle area and circumference, Pythagoras, SOH CAH TOA, compound interest and (at Higher) the quadratic formula and the sine/cosine rules are all on it. The equation of a straight line, y = mx + c, is the most notable formula NOT printed, so that's the main one to make a flashcard for. Anything else needed for a specific question will be given in the question itself.

If you are aiming for grade 7 or above, Algebra and Geometry will deliver half your marks. If you are aiming for grade 5 at Foundation, Number and Ratio matter most. Look at the topic weightings and put your revision hours where the marks live. There is no point spending two weeks on probability if you cannot solve a linear equation.

Method marks are awarded on most calculation questions – mark schemes reward correct method even with a wrong final answer. Even on a non-calculator paper, this applies. Write each step on a new line, keep your equals signs aligned, and label your diagrams. Messy working leaks marks even when the underlying maths is right.