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Further Mathematics

A level

If you are a strong mathematician, who enjoys complex problem solving and exploring new Mathematics ideas, you should consider Further Mathematics. Further Mathematics can only be taken in addition to the Mathematics A level course and so you will achieve two A levels.

Please note; may be required to pay course costs towards your study on this course. Please click here for a full list of 2020 Course Costs.

Course Content



Year 1

You will study the following compulsory topics from Further Pure Maths: complex numbers, roots of polynomials, matrices and applications, proof by induction, series and the use of vectors to solve problems with lines and planes in 3D. You will also be studying topics from two applied options, Statistics and Mechanics. The statistics and mechanics will develop the ideas introduced in the mathematics course and also bring in some additional topics.

Year 2

In the second year of the course, there is a greater focus on the compulsory Further Pure Maths. We cover the following topics: more advanced complex numbers,
series and calculus methods, polar coordinates, hyperbolic functions and differential equations. We will also continue our study of the applied options. In Statistics, we study more advanced theoretical probability and hypothesis tests. In Mechanics, we study elastic strings and collisions in 2D.


  • 100% exam

Special Features



Cambridge benefits from having a Further Mathematics Centre based at the Centre for Mathematical Sciences and they often provide revision sessions for Further Mathematics modules.

Students also benefit from the STIMULUS project. Students are entered for the Senior Maths Challenge. In addition, we enter a team for the Senior Team Challenge made up of students from years 12 and 13*. There are also opportunities to attend lectures and other activities. We also offer support for students wanting to take STEP or AEA papers.

Entry Requirements


  • At least 7 GCSEs at Grade 4 including GCSE English.
  • Grade 7 in GCSE Maths
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