Further Mathematics

AQA Level 2 Certificate in Further Maths is a unique qualification designed to stretch and challenge high achieving mathematicians who:

  • either already have, or are expected to achieve the top grades in GCSE Mathematics
  • are likely to progress to A-Level study in Mathematics and possibly Further Mathematics
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It complements GCSE Maths by encouraging students’ higher Mathematical skills, particularly algebraic reasoning. It builds on the Key Stage 4 curriculum and is intended as an additional qualification to GCSE Mathematics, rather than as a replacement. It doesn’t infringe upon AS Level Maths but does help students prepare for the extra rigour required in further studies at Level 3.

At Trentham Academy, our grade 9-7 students study Level 3 Further Mathematics, alongside their Higher-tier GCSE Mathematics, throughout Year 10 and Year 11. This is aimed at ‘bridging the gap’ between GCSE and A-Level Mathematics.

This qualification is taught in parallel with GCSE Mathematics, slit into six distinct topic areas, although the questions asked do range across these topics.

  1. Number
  2. Algebra
  3. Coordinate Geometry (2 dimensions only)
  4. Calculus
  5. Matrix Transformations
  6. Geometry

Knowledge / Skills Gained

Grade 7-9 Mathematics (at GCSE)

An understanding of Mathematics at A-Level

The confidence provided at the start of Year 12, as an advantage over peers who have not studied Further Mathematics

The ability to apply knowledge successfully in different contexts

Algebraic presentation and proof skills.

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Overlap with other qualifications

Some topics from number, ratio & proportion, algebra and shape, are included in GCSE Mathematics.

A large quantity of the Level 2 Further Mathematics course also appears in A-Level Business / Finance, Accounting, and Physics

Revision and Practice Resources:

Practice Papers:


Y9 & 10 Further Maths

Y11 Further Maths

Mathematics Department

Mrs L Gaggini – Senior Lead Practitioner, Subject Leader of Mathematics and Statistics

Mrs J Bloore – Second in Mathematics, Numeracy Across The Curriculum Coordinator

Mr B Goddard – Assistant Headteacher, Teacher of Mathematics

Ms M Roberts – Lead Practitioner

Mrs N Walker – Teacher of Mathematics and Statistics

Mr B Brennan – Teacher of Mathematics

Mr J Davies – Teacher of Mathematics

The Academy believes in developing the person as a whole so they can accomplish educational excellence."