OCR GCSE Mathematics (9-1) Past Papers & Mark Schemes

OCR GCSE Mathematics (J560) uses a distinctive six-paper structure — three for Foundation tier and three for Higher — rather than the three-paper model used by other boards. Foundation candidates sit Papers 1, 2, and 3, while Higher candidates sit Papers 4, 5, and 6. In each set the first paper is non-calculator and the remaining two allow a calculator, with each paper lasting 1 hour 30 minutes and carrying 100 marks, for a total of 300 marks per tier. The specification organises content into six strands: Number, Algebra, Ratio, Proportion and Rates of Change, Geometry and Measures, Probability, and Statistics. Higher tier extends each strand — quadratic inequalities, sine and cosine rules, iteration, and conditional probability all appear only on Papers 4–6. The overlap zone at grades 4–5 means Foundation students aiming for grade 5 should practise Higher-tier questions in these areas. OCR provides a formulae sheet with each paper, but students are expected to memorise key results including the quadratic formula, Pythagoras' theorem, trigonometric ratios, area of a trapezium, and the rules for transforming functions. Examiners consistently report that students who rely on the formulae sheet lose time looking up results that should be instant recall. Grade boundaries vary substantially between series — a grade 7 on Higher tier might require 55% one year and 62% the next — so working through papers from multiple years gives a clearer picture of the standard expected.