Download the official AQA Level 2 Certificate Further Mathematics Paper 1 Non-Calculator question paper for the June 2025 examination series (8365/1). This examiner-authentic PDF contains the complete 80-mark assessment sat on Thursday 12 June 2025, designed to test advanced GCSE-level mathematical reasoning, algebraic manipulation, geometry, trigonometry, calculus, functions, proof, and problem-solving without the use of a calculator.
The paper includes a wide range of Further Mathematics topics, including domains and ranges of functions, inverse functions, sequences, coordinate geometry, quadratics, surds, trigonometric graphs, algebraic fractions, factorisation, circle theorems, exponential graphs, simultaneous geometric reasoning, binomial expansion, optimisation, differentiation, transformations, proof, and advanced algebraic problem-solving. Students are also assessed on constructing mathematical arguments, simplifying expressions, proving identities, and solving multi-step non-calculator problems under timed exam conditions.
This June 2025 Paper 1 question paper is ideal for students preparing for the 2026 AQA Level 2 Further Mathematics exams, especially high-attaining GCSE mathematicians targeting grades 7–9 and progressing toward A-level Mathematics. Teachers, tutors, intervention coordinators, and revision providers can use the paper for mock examinations, classroom assessment, retrieval practice, and exam-technique training using authentic AQA exam formatting and mark allocations.
The paper contains 23 questions across 28 pages, including geometry diagrams, sketch graphs, trigonometric reasoning, proof questions, and algebraic modelling tasks. It follows the official AQA 8365 specification and provides valuable practice for non-calculator fluency, mathematical communication, and structured written solutions expected in Further Mathematics assessments. Fully optimised for desktop and mobile revision with instant PDF access.
This document is designed for students studying the AQA Level 2 Certificate in Further Mathematics, particularly Year 10 and Year 11 learners aiming for top GCSE Mathematics grades and preparing for progression to A-level Maths, Further Maths, Physics, Engineering, or Computer Science. It is especially valuable for students developing strong non-calculator algebraic fluency, proof skills, trigonometric reasoning, and advanced problem-solving techniques.
It is also highly useful for Further Mathematics teachers, private tutors, revision centres, intervention programmes, homeschool educators, and schools running high-attainer maths pathways. Teachers can use the paper for mock exams, timed assessments, diagnostic analysis, retrieval practice, and preparation for the 2026 AQA Further Mathematics examination series using official June 2025 exam-standard questions.
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