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Further Mathematics

Is this course for me?
If you have a great interest in Mathematics, and you have already opted to take A-level Mathematics, then you may also choose to study A-level Further Mathematics. Further Mathematics is particularly suited to those of you who have a keen interest and ability in Mathematics and perhaps intend to proceed to Higher Education on a course that demands a high level of Mathematics. Many universities prefer students to have studied Mathematics and Further Mathematics (to at least AS-level) if they wish to proceed onto a degree course in Mathematics. It is also for those of you who enjoy and can meet the challenge that Mathematics at this level can provide!

What qualifications do I need?
GCSE Mathematics at grade 7 or above. You must also have opted to study A-level Mathematics.

What does the course involve?
As its name implies, the mathematics studied in this course is beyond that needed for A-level Mathematics. New topics are introduced such as Complex Numbers, Polar Co-ordinates, Co-ordinate Systems, Hyperbolic Functions, Matrices and topics already met in the single A-level Mathematics course (such as Calculus and its applications, Vectors and Proof) are extended. It involves construction and interpretation of mathematical models and will consolidate, practise and extend algebraic skills and other mathematical skills, together with developing the skills to solve complex problems.

Throughout the course there will be opportunities to use ICT such as graphical calculators and computer software, together with the wide range of resources and material provided by Integral online. Students have the opportunity to enter national competitions and attend talks and workshops.

The units in AS Further Mathematics are:

  • Pure Core
  • Further Mechanics
  • Further Statistics


The units in A-level Further Mathematics are:

  • Pure Core 1
  • Pure Core 2
  • Further Mechanics
  • Further Statistics


How will my work be assessed?
Examinations take place in May/June during Years 12 and 13. There is no coursework. If you take the AS exams at the end of Year 12 and then chose to carry on to do the full A-level, your Year 12 results will not count towards your A-level grade, only the Year 13 exams will count, however your Year 12 results will be used on University application forms. Some students might choose to start AS Further Mathematics at the start of Year 13 as an additional AS once they have completed their AS in Mathematics.

What can I do afterwards?
Mathematical ability is very highly regarded by both universities and employers. An AS or A-level qualification in Further Mathematics provides an invaluable background for university courses which contain a substantial amount of Mathematics, such as Physics or Engineering. Students who go on to study Mathematics at university find Further Mathematics highly beneficial as it allows them to commence their University course having studied a broader range of Mathematical skills. Many universities state that they recommend that students intending to study Mathematics at university should study Further Mathematics; indeed at some universities Further Mathematics is part of the entry requirement for a Mathematics degree. Along with A-level Mathematics, Further Mathematics is recognised as excellent preparation for almost any career.