Mathematics – Further Mathematics

This course is an additional A Level in Mathematics, expanding upon the many areas of study met in A Level Mathematics. A genuine love of maths and an enquiring mind are essential for students wishing to take this course. You must be confident with the algebra studied at higher level GCSE and show an enthusiasm to overcome the challenges that A Level Further Mathematics provides.

Subject content

This course can be studied as either an AS Level or A Level qualification. The content of A Level Further Mathematics splits broadly into the two strands  of compulsory (Core) Pure Maths and Further Applied Maths.

Core Pure Maths: This builds on the knowledge and understanding of algebra from GCSE and extends the content introduced in A Level Mathematics. You will meet new topics such as complex numbers, matrices, proof, hyperbolic functions,  polar coordinates and further calculus. The Further Applied content will be chosen from additional Mechanics and Statistics options as well as a relatively modern branch of maths known as Decision Maths.

Decision Maths: You will learn how to solve problems involving networks, graph theory, linear programming and a range of algorithms which enable particular problems in science, business and industry to be tackled using a very modern approach.

You can view EDEXCEL course specifications by clicking on the link below;

Additional entry requirements

GCSE Grade 7 preferably 8  in Mathematics (plus a maths entry test).

Since A Level Further Mathematics is a second A Level in maths, you must also be studying A Level Mathematics alongside this course. In most cases we  would expect A Level (or AS Level) Further Mathematics to be taken as a fourth A Level course. Students will need to purchase a specific calculator for the course: Casio FX991ex.

Learning methods

You will deepen your understanding of mathematics by discussion and group work as well as independent research and practical work.


For AS Level there are two exams: Core Pure Maths and Further Applied Maths. All candidates will sit these exams at the end of the first year to assess  their suitability to progress onto the A Level course. For A Level there are three exams: two Core Pure papers and one Further Applied paper. The content from both years of study are examined in these three papers.

Progression opportunities

A Level Further Mathematics is a highly regarded and prestigious subject. Many university degree courses in mathematics, physics and engineering now ask specifically for Further Mathematics to at least AS Level. Graduates go on to have a range of careers from accountancy and computing to scientific research and medicine.