A Level

Further Mathematics

A more advanced and challenging exploration of mathematics to complement Maths A Level.
100% Exam
7+ in Maths

What is Further Mathematics?

Further Maths is an extension of the Maths A Level. If you enjoy mathematics and are keen to develop your knowledge and skill even further, Further Maths provides an excellent opportunity to do so.

Further Maths develops on the Maths A Level by exploring more complex theories and ideas while challenging you to become more advanced and independent in your mathematical knowledge. Just some of the complex theories studied include Hyperbolic Functions, Further Calculus, 2D Elastic Collisions and Linear Programming.

Why study Further Mathematics?

The combination of Maths and Further Maths  A Levels can support you into so many degree-level subjects, or into employment in roles such as actuarial science, accountancy, business, finance, engineering, information technology and environmental science.

Maths and Further Maths A Levels are a great way to show any future employer or university that you possess an exceptional ability to think logically, understand complex terms and theories, a deep and extensive knowledge of mathematics and the perseverance to learn difficult subject material in the world of mathematics.



Further Maths Exam Results




A* to C


A* to B


Further Maths goes beyond what you learn at A level to introduce complex and challenging theories to stretch your abstract thinking.

Further Maths Student

Further Mathematics
Course Content

You will find a wide range of complex theories in this challenging, but inspiring, course to really test your problem-solving skills. 

PAPER 1 - 2
Pure Mathematics
25% Per Paper
1 Hour 30 Minutes Per Paper

Papers 1 and 2 are comprised of the following topics:

  • Complex Numbers
  • Hyperbolic Functions
  • Polar Coordinates
  • Further Algebra and Functions
  • Further Calculus
  • Differential Equations
Applied Mathematics
25% Per Paper
1 Hour 30 Minutes Per Paper

Papers 3 comprises of questions relating to Decisions, and Paper 4 comprises of questions relating to Mechanics:


  • Algorithms on Graph Theory
  • Linear Programming
  • Critical Path Analysis



  • Momentum and Impulse
  • Elastic Strings
  • Springs and Elastic Energy
  • Elastic Collisions in 2D
Mrs E Morris

Mrs E Morris


Thank you so much for your interest in Further Mathematics at A Level. We have a fabulous team of energetic and enthusiastic maths specialists at St Paul’s ready to support you on your journey.  

Should you have any questions at all about studying Further Mathematics at A Level, or the possible career paths beyond College, please do not hesitate to contact me.

Send me a message

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