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Mathematics is intertwined in everything we see and everything we do. A level Further Mathematics develops the Mathematics learnt in A level Mathematics, deepens curiosity into its intricacies and develops skills for further study or employment.

Our Curriculum 

A level Further Mathematics both extends knowledge learnt in A level Mathematics, such as calculus and trigonometry, and introduces students to new concepts and areas, such as decision mathematics. 


The Further Mathematics curriculum at A level consists of two different areas; Pure Mathematics and Decision Mathematics. Below is a list of the different topics within these areas;

Core Pure Maths includes: Matrices, Complex Numbers, Integration, Series, Proof by Induction, Vectors, Differential equations, Hyperbolic functions, Polar coordinates

Decision Maths includes: Algorithms, Graphs, Networks, Critical Path Analysis, Game Theory, Transportation and Allocation problems, Dynamic Programming, Recurrence Relations

Exam Board and Specification

Exam Board: Edexcel

Exam Specification: A level Further Mathematics 9FM0

Entry Requirements

Please see the entry requirements document here

Is This Course Right For Me?

If you have thoroughly enjoyed Mathematics thus far and have a good understanding of algebraic techniques then Further Mathematics may be for you. In this course you will have the opportunity to explore familiar Core Mathematics in greater detail as well as meeting some higher level topics for the first time. By following the Further Mathematics course you will also be able to study more areas of applied Mathematics such as Decision Mathematics. If you are thinking of studying Mathematics or a related course at university, then Further Mathematics is required for some courses and advisable in many others.

Please watch our short video to see what studying Mathematics and Further Mathematics at Guilsborough Sixth Form is like. 

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I really enjoy Maths so studying Further Maths was a natural choice. I definitely don't regret it. Further Maths has opened my eyes to different parts of maths

Tom, Year 12 student

Where will A Level Further Mathematics take me past Sixth Form?

A level Further Mathematics is required for those who would like to continue to study Mathematics at university and is desirable for many other degrees and careers.


The Mathematics studied at A level and the skills developed are used in many careers such as 

  • Engineering
  • Accounting and Finance
  • Medicine
  • Physics
  • Psychology
  • Geography

Some of our past students who have studied Further Mathematics at A level now have careers in;

  • Engineering with companies such as Dyson, Land Rover Jaguar

Please visit out Careers Guidance page for more information 


Some examples of universities and their entry requirements to study Mathematics and other related degrees are;

Imperial College London BSc Mathematics A* A* Mathematics and Further Mathematics A in another subject

University of Bristol BSc Mathematics AAA including Mathematics and Further Mathematics

University of Durham BSc Mathematics requires A*AA 

University of Birmingham BSc Mathematics requires AAA

Coventry University BSc Mathematics requires ABB

University of Leicester BEng General Engineering requires BBB