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, the formula sheet introduced from 2025, 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: Paper 1 is non-calculator, Papers 2 and 3 allow one. 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. The figures below are drawn from OCR's published specification.

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 7.5% of marks at both tiers. Basic probability, tree diagrams, Venn diagrams, expected outcomes, and (Higher only) conditional probability. Tree diagrams are almost guaranteed to appear and are some of the most predictable mark-grabbers on the paper.

Around 7.5% of marks at both tiers. Averages from lists and tables, scatter graphs, pie charts, box plots, and cumulative frequency. Higher tier extends to histograms with unequal class widths. Statistics questions are usually worth 3-5 marks each and reward clear, methodical working.

From summer 2025, OCR provides a formula sheet for all three GCSE Maths papers. The Ofqual change introduced during the pandemic has been confirmed as permanent. The content of the sheet is essentially identical across AQA, Edexcel, and OCR.

Formulae on the sheet include the area of a trapezium, volume of a prism, the quadratic formula, the sine and cosine rules, and the area of a triangle using sine. What is NOT on the sheet (and you must still memorise) includes the area and circumference of a circle, Pythagoras' theorem, the basic trigonometric ratios (SOH CAH TOA), compound interest, and the equation of a straight line. Examiners assume you know these cold.

Equipment for the day: Black pen, pencil, ruler, protractor, pair of compasses, eraser, and a scientific calculator for Papers 2 and 3. The Casio fx-83 and fx-85 are the standard 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 1 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 1 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 between paper 3 and paper 8, because by then students are revising their actual weak spots.

The formula sheet is useful but not exhaustive. Print a copy and highlight what is on it. Then make flashcards for the formulae NOT on the sheet that you still need to know: Circle area and circumference, SOH CAH TOA, the equation of a straight line, and the compound interest formula are the most common omissions.

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 exist for a reason. Even on a non-calculator paper, examiners will award marks for a correct method with a wrong final answer. 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.