OCR A Level Further Mathematics A Purecore 1 Paper 1 2025 Qp

Get the official OCR A Level Further Mathematics A Y540/01 Pure Core 1 question paper from the June 2025 exam series. This examiner-authentic PDF contains the complete set of OCR assessment questions covering matrices, complex numbers, differential equations, vectors, series, hyperbolic functions and advanced trigonometry exactly as candidates received them in the live examination.

This OCR Y540/01 June 2025 question paper includes questions on matrix transformations and reflections, hyperbolic differentiation and normal equations, integration and volume of revolution, cubic equations with algebraic root relationships and plane intersections using matrices. The paper also explores advanced Further Mathematics topics including telescoping series using the method of differences, 3D vector geometry involving telephone cables and shortest-distance modelling, exponential forms of complex numbers, pendulum differential-equation modelling and de Moivre’s Theorem for tangent identities and quartic equations. Designed to test rigorous proof-writing, mathematical modelling and analytical reasoning under timed conditions, this paper is ideal for OCR Further Mathematics revision and exam preparation. Pair it with the matching OCR Y540/01 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 1.

Teachers, tutors, sixth-form mathematics departments and revision-course providers can use this OCR Y540/01 paper for timed mock examinations, differential-equation workshops, vector-geometry lessons, de Moivre’s Theorem revision and proof-based problem-solving practice. It is especially valuable for students aiming to strengthen advanced algebraic reasoning, modelling interpretation and multistep analytical problem-solving under real exam conditions.