Edexcel A Level Further Maths specification (9FM0)

Understanding the exam specification is key to doing well in your Edexcel A Level Further Maths exam. It lays out exactly what you need to learn, how you'll be assessed, and what skills the examiners seek. Whether you're working through the course for the first time or revising for your final exams, the specification helps you stay focused and confident in your preparation.

We've included helpful revision tools to support you in putting the specification into practice. Wherever you're starting from, you'll find everything you need to feel prepared, from the official specification to high-quality resources designed to help you succeed.

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In the next section, you'll find a simplified summary of the official Edexcel A Level Further Maths specification, along with a breakdown of key topics, assessment structure, and useful study resources. We've also included links to topic-level guides and revision tools to help you put the specification into practice.

Disclaimer

This page includes a summary of the official Edexcel A Level Further Maths (9FM0) specification, provided to support your revision. While we've made every effort to ensure accuracy, Save My Exams is not affiliated with the awarding body.

For the most complete and up-to-date information, we strongly recommend consulting the official Edexcel specification PDF.

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Specification overview

A Level Further Mathematics extends learners’ knowledge and understanding beyond the standard A Level Mathematics, preparing them for further study in mathematically rich disciplines. The course enables students to explore deeper mathematical theory and to experience the interconnectivity of mathematical topics. It fosters fluency in reasoning, proof and modelling, and promotes a sophisticated command of algebra, calculus, and discrete mathematics. Further Mathematics supports progression into fields such as engineering, physics, computing, and economics.

Subject content breakdown

Core Pure Mathematics

  • Complex numbers and transformations
  • Matrices, linear transformations and determinants
  • Series and proof by induction
  • Roots of polynomials and methods of solving equations
  • Vectors in three dimensions
  • Calculus: further integration and differentiation
  • Hyperbolic functions
  • Polar coordinates
  • Differential equations

Optional Application Areas (choose two)

  • Mechanics

    • Momentum, impulse, collisions
    • Work, energy, power
    • Circular motion and centres of mass
    • Elastic strings and springs
  • Statistics

    • Probability generating functions
    • Discrete and continuous probability distributions
    • Hypothesis testing
    • Correlation and regression
  • Discrete Mathematics

    • Graph theory, algorithms, shortest paths
    • Linear programming
    • Critical path analysis
    • Boolean algebra and logic circuits
  • Further Pure Mathematics

    • Further calculus techniques
    • Further vector geometry
    • Inequalities and parametric equations
    • Advanced functions and transformations

Assessment structure

Paper 1 – Core Pure Mathematics 1

  • 1 hour 30 minutes, 75 marks
  • Pure compulsory content

Paper 2 – Core Pure Mathematics 2

  • 1 hour 30 minutes, 75 marks
  • Builds on Paper 1 content

Paper 3 – Optional Application Paper 1

  • 1 hour 30 minutes, 75 marks
  • Choose one: Mechanics, Statistics, Discrete, Further Pure

Paper 4 – Optional Application Paper 2

  • 1 hour 30 minutes, 75 marks
  • Choose one not already selected in Paper 3

  • All four papers are required for the full A Level qualification
  • Each paper contributes 25% to the overall A Level grade

Key tips for success

Doing well in your Edexcel A Level Further Maths isn't just about how much you study, but how you study. Here are a few proven tips to help you stay on track

  • Start with a clear plan: Break the subject into topics and create a revision schedule that allows enough time for each. Start early to avoid last-minute stress.
  • Focus on understanding, not memorising: Use our revision notes to build a strong foundation in each topic, making sure you actually understand the material.
  • Practise regularly: Attempt past papers to familiarise yourself with the exam format and timing. Mark your answers to see how close you are to full marks.
  • Be strategic with your revision: Use exam questions by topic to focus on weaker areas, and flashcards to reinforce important facts and terminology.
  • Learn from mistakes: Whether it's from mock exams or practice questions, spend time reviewing what went wrong and why. This helps prevent repeat mistakes in the real exam.
  • Stay balanced: Don't forget to take regular breaks, eat well, and get enough sleep, a healthy routine makes revision much more effective.

With the right approach and consistent practice, you'll build confidence and improve your chances of exam success.

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Frequently Asked Questions (FAQs)

You can download the official specification directly from the Edexcel website, or right here on this page using the PDF Specification Download button. Alongside the specification, we've made it easy to access all the essential revision resources you'll need, including topic summaries, past papers, and exam-style practice questions, all matched to the current specification.
Treat the specification like a checklist. Use it to track your progress, identify areas that need more work, and ensure you're covering everything that might appear in the exam. Our linked resources for each topic will help you revise more effectively.
Always refer to the Exam Code and First Teaching Year shown at the top of this page. These details confirm which version of the specification you're studying. If your course or materials refer to a different code, double-check with your teacher or exam centre.