OCR A Level Further Maths Paper 1 Extra Pure 2025

Access the official OCR A Level Further Mathematics B (MEI) Y435/01 Extra Pure question paper from the June 2025 examination series. This downloadable PDF contains the complete OCR A Level Extra Pure assessment sat on Friday 20 June 2025, including all original group theory, recurrence relations, matrix transformations, eigenvalue problems, multivariable calculus, and advanced proof-based questions exactly as presented in the live examination.

The paper covers a broad range of OCR Extra Pure topics including binary operations, associative proofs, identity elements, cyclic groups, modulo arithmetic, generators and subgroups, recurrence relations, characteristic equations, stationary points of surfaces, contour analysis, normal vectors, matrix eigenvalues and eigenvectors, 3-D rotation matrices, and vector equations of axes of rotation. It also includes OCR “show detailed reasoning” questions designed to assess mathematical rigour, structured proof-writing, abstract algebra reasoning, and advanced multivariable analysis under timed exam conditions.

Question contexts include container-growth recurrence modelling, modular arithmetic groups under addition modulo 9, surface optimisation and contour geometry, rotation matrices in three dimensions, and proof-based eigenvalue analysis. The paper features realistic OCR examiner-style reasoning tasks commonly used in A Level Further Mathematics Extra Pure assessments.

Use this OCR Y435/01 June 2025 question paper to practise authentic OCR Extra Pure questions under timed conditions and improve exam technique using real examiner-standard assessment materials. Pair it with the matching OCR Y435/01 June 2025 mark scheme on markscheme.net for complete revision and self-assessment. Optimised for 2025/2026 OCR Further Mathematics revision, mobile-friendly, and instantly downloadable.

This document is designed for OCR A Level Further Mathematics students studying the Extra Pure module within the OCR MEI specification, including Year 13 students preparing for 2026 examinations, resit candidates, independent learners, and home-educated students targeting top grades in OCR Further Mathematics.

It is also highly valuable for teachers, tutors, sixth forms, mathematics departments, and revision centres using OCR Further Mathematics Extra Pure materials for classroom teaching, mock examinations, retrieval practice, proof-based learning, exam-technique training, and advanced algebra and multivariable-calculus revision sessions.