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Further Mathematics

A level

Further Maths acts as a perfect bridge between A Levels and university education, helping you to develop the skills required to work at degree level in any subject. Encounter fascinating concepts such as the complex roots of equations from the start of our Further Mathematics course. You will study advanced mechanics and statistics, as well as solve intricate problems and explore new mathematical ideas.

You will be taught in two dedicated groups over your two years at college, one for Maths and one for Further Maths, meaning our course is structured so that you can work at a faster pace and a greater depth.

Students studying both Maths and Further Maths have an excellent choice of careers, many in well paid professions. Further maths is also highly regarded by many top universities for mathematics, science and engineering courses as well as computing and economics.

Course Content

If you are a strong mathematician, who enjoys complex problem solving and exploring new Mathematics ideas, you should consider Further Mathematics.

Further Mathematics is taken in addition to the Mathematics A level course so you will achieve two A levels.

You will study three areas in parallel with the Maths A Level course:

  • core further pure maths
  • further statistics
  • further mechanics

The remaining 50% of the content is optional and we have selected the units below:

Pure Maths

Further Pure maths consists of the following topic areas: Complex numbers, roots of equations, calculus methods, volumes of revolution, matrix methods and transformations, proof, series summations, vectors, polar coordinates, hyperbolic functions, methods in differential equations and modelling with differential equations.

Further Statistics

Further Statistics consists of the following topic areas: Random variables, probability distributions and associated hypothesis tests, chi-squared hypothesis testing, central limit theorem, probability generating functions, power and size of a hypothesis test.

Further Mechanics

Further Mechanics consists of the following topic areas: Momentum and impulse in 1D and 2D, work-energy theorem, elastic collisions in 1D and 2D, elastic potential energy, oblique impact of two spheres and successive elastic collisions in 2D.


  • 100% Exam
  • Exam Board: Edexecel

Special Features

Further Maths can be a challenge, even for the most able students, but the rewards are high.

This subject is out of reach of all but a select few – less than 2% of all A level candidates take Further Maths so you are really setting yourself apart. It is therefore a very impressive qualification and can open doors to courses at top universities, which might otherwise be out of reach. It will also make life a lot easier in Maths related courses once you get to University.

Students benefit from the STIMULUS project at the University of Cambridge and enter 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 drop-in workshops and support for students wanting to take STEP or AEA papers.

Entry Requirements

  • At least 7 GCSEs at Grade 4, including GCSE English.
  • Grade 6 in two of GCSE Biology, Chemistry or Physics; or Grade 6,6 in GCSE Science and GCSE Additional Science
  • Grade 7 in GCSE Maths.

Please note; you may be required to pay course costs towards your study on this course. Please click here for a full list of 2021/2022 course costs. 

After Long Road

Further maths is required on many degrees with a high Maths content such as Engineering, Physics and Economics. If you know this is the route you want to take, it is a good idea to take Further Maths in order to set yourself up for your degree and ensure you start off armed with the knowledge.

The study of Further Mathematics at this level can lead to a range of careers including Mathematics, Physics, Chemistry, Computing, Engineering, Accounting, Law and Architecture.

Further Maths will also give you a significant head start in courses such as Maths, Engineering and Computing.

Students who recently completed this course are now studying…

  • Mechanical Engineering at Imperial College London,
  • Physics at Manchester University,
  • Biology at Nottingham University,
  • Medicine at Plymouth.
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