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Further Mathematics

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Why study Further Mathematics?

Exam board and specification codes: Edexcel 9FA0

Further Mathematics extends the concepts introduced during the Maths course and is aimed at students with a particular interest and ability in the subject. Students delve into more complex calculus and algebra, learn a variety of methods of proof and discover abstract concepts, such as the square root of minus one, beyond the scope of the Maths course.

Students develop more mathematical modelling skills, particularly in mechanics and statistics, and may learn to analyse practical problems in decision mathematics such as the travelling salesman or game theory. Most successful entrants to the course will have achieved an 8 or equivalent in their GCSE maths.

What is covered by the course?

Note. Half the content (the core pure maths) is compulsory. For the rest, students can specialise in statistics, mechanics, decision maths, pure maths or any combination of these. You will sit all external exams at the end of two years.

Year 1/AS

You will study a mixture of further pure maths, statistics and mechanics, with the pure and applied in an approximate 2:1 ratio. The pure will consist mainly of complex numbers, matrices, vectors and calculus. The statistics will involve discrete and continuous random variables and statistical tests. The mechanics will mostly consist of momentum, work and restitution.


All students will continue to study further pure maths, with some choosing to specialise in this area. Others will specialise in statistics and mechanics with other still opting for decision maths. Which of the ten available further maths options you can study will depend on both your Year 1 exam results as well as demand; unfortunately we can’t guarantee that all students get their first choice.

How is it examined?

There are four 90-minute exams, taken at the end of the second year, with an average mark of around 80% sufficient to achieve an A grade. You will sit two pure exams and two optional papers (see above). Year 1 students not continuing to Year 2 will sit two papers at the end of the first year.

Related university courses and careers?

Recommended for students wishing to study Mathematics, Engineering, Physics, Economics or related courses at university.

Suggested reading

Edexcel AS and A-Level Modular Mathematics textbooks (for individual modules)

https://qualifications.pearson.com/en/qualifications/edexcel-a- levels/mathematics-2017.html