OCR As Further Mathematics A Paper 1 2025 Question Paper

Get the official OCR AS Level Further Mathematics A Y535/01 Additional Pure Mathematics question paper from the June 2025 exam series. This examiner-authentic PDF contains the complete set of OCR assessment questions covering vectors, group theory, recurrence relations, divisibility tests, arithmetic sequences and multivariable calculus exactly as candidates received them in the live examination.

This OCR Y535/01 June 2025 question paper includes questions on divisibility by composite integers, vector products and geometric interpretation, stationary points on algebraic surfaces, contour analysis and binary operations on finite sets. The paper also explores advanced AS Further Mathematics topics including Cayley tables, cyclic and abelian group properties, induction proofs for divisibility, recurrence systems for investment modelling and arithmetic-sequence highest common factor analysis using modular reasoning. Designed to test rigorous proof-writing, algebraic manipulation and analytical reasoning under timed conditions, this paper is ideal for OCR AS Further Mathematics revision and exam preparation. Pair it with the matching OCR Y535/01 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 OCR AS 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 Y535/01 paper for timed mock examinations, vector-calculus workshops, group-theory lessons, induction-proof practice and recurrence-relation modelling activities. It is especially valuable for students aiming to strengthen proof-writing, algebraic reasoning and multistep analytical problem-solving under real exam conditions.