OCR A Level Further Mathematics Paper 1 2025 Question Paper

Get the official OCR A Level Further Mathematics A Y545/01 Additional Pure Mathematics question paper from the June 2025 exam series. This examiner-authentic PDF contains the complete set of OCR assessment questions covering advanced pure mathematics topics including modular arithmetic, vectors, matrices, recurrence relations, group theory, parametric calculus and multivariable calculus exactly as candidates received them in the live examination.

This OCR Y545/01 June 2025 question paper includes questions on orders modulo 37, simultaneous congruences, Cayley tables, cyclic groups, tetrahedron geometry, tangent planes, Hessian matrices, stationary points, parametric surface-area integration and first- and second-order recurrence relations. The paper also explores advanced Further Mathematics concepts including matrix groups under modular arithmetic, fish-population modelling, limiting values of recursive sequences and proofs involving divisibility by 31. Designed to test high-level algebraic reasoning, proof construction and analytical problem-solving under timed conditions, this paper is ideal for OCR Further Mathematics revision and exam preparation. Pair it with the matching OCR Y545/01 June 2025 mark scheme on markscheme.net for complete examiner-standard revision and worked-solution practice. Updated for the 2025/2026 academic year, mobile-friendly and instantly downloadable from markscheme.net.

This document is designed for Year 13 OCR A Level Further Mathematics students preparing for the 2026 examination series, including independent learners, resit candidates and high-achieving mathematics students seeking authentic OCR exam practice in Additional Pure Mathematics.

Teachers, tutors, sixth-form mathematics departments and revision-course providers can use this OCR Y545/01 paper for timed mock examinations, proof-writing workshops, recurrence-relation lessons, group-theory revision and advanced calculus practice. It is especially valuable for students aiming to strengthen mathematical reasoning, modular arithmetic skills and multistep problem-solving under real exam conditions.