Further Mathematics

A Level

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Further Mathematics is an intensive course, so it’s ideal if you really enjoy mathematics. It is studied alongside A Level Mathematics and will expose you to a broader application of the subject. It introduces topics beyond the mainstream A Level syllabus such as complex numbers, matrices and polar coordinate systems.

You must have very strong mathematical skills and be willing to work hard to master a wide range of rigorous methods. In the second year you can choose between a mechanics-based route, favoured by Physics students, or Statistics with Numerical Analysis, more appropriate for careers in finance or operations analysis.

Students typically go on to study for degrees in Engineering, Computer Science and Economics. If you are planning to study a Mathematics related degree, then you should seriously consider this course.

A minimum of five GCSEs at grades A*-C, including English and Mathematics at grade 4 or above. This course must be studied alongside A level Mathematics.

The two-year course follows the MEI (Mathematics in Education and Industry) specification as administered by the Oxford and Cambridge Board. Further Mathematics students must take twelve modules, the contents of which are summarised below.

Year 1:

  • Further Pure 1: Further concepts for advanced mathematics: Complex numbers, matrices, proof, algebra
  • Statistics 2: Data representation, probability, distribution, hypothesis testing, sampling
  • Mechanics 1: Force, Newton’s Laws of Motion, centre of mass, momentum, simple harmonic motion
  • Numerical analysis

Year 2:

  • Further Pure 2: Further methods for advanced mathematics, further complex numbers and matrices, hyperbolic functions and their inverses
  • Two more units can be taken from a choice of Statistics 3, Mechanics 2 and 3, Numerical methods

Extensive materials similar to those for A Level Mathematics are produced to support each of the modules and the course is taught in classes of approximately fifteen students.

Each week students are given a maths conundrum to develop their problem-solving skills and extend their knowledge beyond the syllabus. This is excellent preparation for the entrance examinations of the best universities.

The current plan from the awarding body is to have two 90 minute exams on the pure mathematics content and two 90 minute exams on the four applied choices which are: Additional pure, decision, mechanics and statistics.

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Matthew Randell, A Level student

The tutors were really supportive and it was all thanks to them that I have achieved what I have. I’ve also made loads of great friends and really enjoyed my time at South Downs College.

Lizaveta Sinkerich, A Level student

Everyone at the College was really helpful, and there’s lots of facilities, meaning it’s very easy to get your work done on time, and get good grades. The teaching and support was excellent, they were always on top of it, and made sure you got work done on time and you were challenged. Everyone is friendly and its really diverse, meaning you can get involved in lots of different things.

Conor Ward, BTEC student


Most students progress to higher education to study a wide variety of subjects. If you are planning to study for a degree in a subject rich in mathematics (including engineering, sciences, computing, finance) you will benefit from taking Further Mathematics.

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