AQA GCSE Further Maths Paper  1 2025 Question Paper AQA GCSE Further Maths Paper  1 2025 Question Paper

AQA / GCSE

AQA GCSE Further Maths Paper 1 2025 Question Paper


Download AQA Level 2 Further Mathematics 8365/1 June 2025 Non-calculator Question Paper Pdf.
Description

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.

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Who is this Document for ?

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.

What you will learn ?
How AQA structures the Level 2 Further Mathematics non-calculator examination, including authentic multi-mark problem-solving questions covering algebra, geometry, calculus, trigonometry, functions, proof, and advanced GCSE reasoning techniques.
Techniques for solving higher-level algebraic problems involving inverse functions, cubic equations, algebraic fractions, factorisation, surds, exponential functions, sequences, and binomial expansion without calculator support.
How to apply coordinate geometry and trigonometric reasoning to midpoint problems, gradients, circle geometry, sketch graphs, tangent functions, and proof-based angle questions using exact mathematical working.
Strategies for optimisation, differentiation, and proving functions are increasing, including exam-style reasoning expected for top-band Further Mathematics responses.
How translation between algebraic forms, graphical interpretation, and geometric modelling is assessed in AQA Further Mathematics Paper 1 through authentic June 2025 exam questions and diagrams.
Experience completing a full 1 hour 45 minute AQA Further Mathematics Paper 1 under realistic timed conditions using official examiner formatting, mark weighting, and non-calculator assessment requirements.
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