Further Mathematics

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This qualification is only available to learners in the highest-performing mathematics set. The Further Mathematics GCSE course aims to stretch the highest-achieving students by assessing their higher-order mathematical skills, particularly in algebraic reasoning, in greater depth.

This prepares them for further studies at Level 3, while also maximising their potential. It offers the opportunity for stretch and challenge that builds on the Key Stage 4 curriculum and is intended as an additional qualification to the GCSE Mathematics, rather than as a replacement.

The content assumes prior knowledge of the Key Stage 4 Programme of Study and covers the areas of algebra and geometry, which are crucial to further study in the subject, in greater depth and breadth. This qualification places an emphasis on higher-order technical proficiency, rigorous argument and problem-solving skills.

It also gives an introduction to calculus and matrices and develops further skills in trigonometry, functions and graphs.

The AQA Level 2 Certificate in Further Mathematics is an untiered Level 2 linear qualification for learners who:

  • either already have, or are expected to achieve, grades 7, 8 and 9 in GCSE mathematics
  • are likely to progress to A-Level study in Mathematics and possibly Further Mathematics.

Course Content

The topics covered in Mathematics are covered by these content headings:

  • Number
  • Algebra
  • Coordinate Geometry (2 dimensions only)
  • Calculus
  • Matrix Transformations
  • Geometry


This involves two equally-weighted written examination papers of 1 hour and 45 minutes long; paper one is non-calculator and paper two requires a calculator.

There is a mix of question styles, from short, single-mark questions to multi-step problems. The mathematical demand increases as a student progresses through the paper.

Each paper will also cover both assessment objectives which are:

  • AO1: Recall and use knowledge of the prescribed content for routine and multi-step procedures
  • AO2: Apply mathematical reasoning, skills and knowledge to solve mathematical problems including rigorous justification and formal proof.
Key Course Details
Exam boardAQA
AssessmentWritten examination (100%)