OCR A Level Further Mathematics A PureCore 2 Paper 1 2025 QP OCR A Level Further Mathematics A PureCore 2 Paper 1 2025 QP

OCR / A Level

OCR A Level Further Mathematics A Purecore 2 Paper 1 2025 Qp


Download OCR A Level Further Mathematics Y541/01 June 2025 Question Paper Pdf. Instant Access.
Description

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.

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Who is this Document for ?

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.

What you will learn ?
Real OCR Further Mathematics Pure Core 2 questions on complex numbers, vector products and matrix transformations — common student errors flagged in the June 2025 series — incorrect algebraic manipulation and weak vector reasoning — so you can pre-empt them before the 2026 exam.
How OCR structures advanced proof and summation problems involving cube numbers, induction and partial fractions — common student errors flagged in the June 2025 series — incomplete proof structure and unsupported algebraic conclusions — so you can pre-empt them before the 2026 exam.
Examiner-style polar-coordinate and integration tasks using curve intersections, area determination and improper integrals — common student errors flagged in the June 2025 series — incorrect limits and integration setup — so you can pre-empt them before the 2026 exam.
The exact wording, structure and timing of OCR Y541/01 Pure Core 2 questions under authentic exam conditions — common student errors flagged in the June 2025 series — poor time allocation across proof and modelling questions — so you can pre-empt them before the 2026 exam.
How OCR rewards rigorous reasoning in Maclaurin-series expansion, hyperbolic-function approximations and differential-equation modelling — common student errors flagged in the June 2025 series — weak justification of approximation methods and coefficient extraction — so you can pre-empt them before the 2026 exam.
Realistic timed-practice opportunities for developing advanced calculus, algebraic modelling and mathematical-proof skills across OCR Further Mathematics topics — common student errors flagged in the June 2025 series — calculator over-reliance and incomplete explanation — so you can pre-empt them before the 2026 exam.
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