Get the official OCR A Level Further Mathematics A Y541/01 Pure Core 2 question paper from the June 2025 exam series. This examiner-authentic PDF contains the complete set of OCR assessment questions covering complex numbers, matrices, differential equations, Maclaurin series, polar coordinates and advanced algebra exactly as candidates received them in the live examination.
This OCR Y541/01 June 2025 question paper includes questions on vector products, complex roots of cubic equations, matrix transformations and inverse matrices, cube-number summation, square roots of complex numbers and polar-curve intersections. The paper also explores advanced Further Mathematics topics including partial fractions, improper integration, induction proofs involving hyperbolic functions, Maclaurin-series coefficients, differential-equation modelling and asymptotic approximations using sinh, cosh and tanh functions. Designed to test rigorous proof-writing, algebraic manipulation and analytical reasoning under timed conditions, this paper is ideal for OCR Further Mathematics revision and exam preparation. Pair it with the matching OCR Y541/01 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 Pure Core 2.
Teachers, tutors, sixth-form mathematics departments and revision-course providers can use this OCR Y541/01 paper for timed mock examinations, induction-proof workshops, differential-equation lessons, complex-number revision and Maclaurin-series practice. It is especially valuable for students aiming to strengthen proof-writing, algebraic reasoning and multistep analytical problem-solving under real exam conditions.
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