Access the official OCR A Level Further Mathematics B (MEI) Y436/01 Further Pure with Technology question paper from the June 2025 examination series. This downloadable PDF contains the complete OCR A Level Further Pure with Technology assessment sat on Monday 23 June 2025, including all original parametric curves, envelope equations, modular arithmetic, Euler’s theorem, differential equations, Runge–Kutta methods, and spreadsheet-modelling questions exactly as presented in the live examination.
The paper covers a broad range of OCR Further Pure with Technology topics including parametric equations, normal-envelope derivations, cartesian transformations, Fermat’s little theorem, Euler’s totient function, modular arithmetic, co-prime integers, differential equations, tangent fields, Runge–Kutta numerical methods, spreadsheet construction, iterative approximations, numerical solutions of differential equations, and proof by contradiction using modulo arithmetic. It also includes OCR “show detailed reasoning” questions designed to assess mathematical rigour, computational modelling, structured proof-writing, and advanced numerical reasoning under timed exam conditions.
Question contexts include envelopes of normals to ellipses, Euler totient function programming, modular exponentiation problems, tangent-field interpretation for differential equations, numerical approximation using Runge–Kutta methods, and spreadsheet-based iterative modelling. The paper features realistic OCR examiner-style computational and analytical tasks commonly used in A Level Further Mathematics Further Pure with Technology assessments.
Use this OCR Y436/01 June 2025 question paper to practise authentic OCR Further Pure with Technology questions under timed conditions and improve exam technique using real examiner-standard assessment materials. Pair it with the matching OCR Y436/01 June 2025 mark scheme on markscheme.net for complete revision and self-assessment. Optimised for 2025/2026 OCR Further Mathematics revision, mobile-friendly, and instantly downloadable.
This document is designed for OCR A Level Further Mathematics students studying the Further Pure with Technology module within the OCR MEI specification, including Year 13 students preparing for 2026 examinations, resit candidates, independent learners, and home-educated students targeting top grades in OCR Further Mathematics.
It is also highly valuable for teachers, tutors, sixth forms, mathematics departments, and revision centres using OCR Further Mathematics technology and numerical-modelling materials for classroom teaching, mock examinations, retrieval practice, exam-technique training, and advanced computational mathematics revision sessions.
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