Why study A Level Further Mathematics?

Mathematics provides the foundations for everything we use in our lives on a daily basis. From using prime numbers for securing financial transactions on the internet to the logistical complications of timetabling our train networks to the mathematics of 4-D ultrasound scans during pregnancy. Further Mathematics takes your study of the subject beyond the requirements of the Mathematics course and gives a much wider range of content and higher degree of difficulty.

Universities hold this qualification in high regard and some universities adjust their entry requirements based on whether one of the A Levels is Further Mathematics. Having Further Mathematics on a CV is something that will distinguish you from others as a gifted Mathematician.

How will I be assessed?

Further Mathematics is assessed purely by examination at the end of the course.

Four exams of 1½ hours each:

The first two papers will assess Core Maths and the second two options selected from Further Pure, Mechanics or Decision Maths.


Further Mathematics is a demanding course that is suitable only for the most able Mathematicians; it is therefore required that you have Grade 8 or 9 in Mathematics at GCSE level. In order to take A Level Further Mathematics you must also be taking A Level Mathematics It is advised that A Level Further Mathematics is taken as one of four A Level subjects.

What will I study?

Core Pure 1 and 2:
  • Proof
  • Complex Numbers
  • Matrices
  • Further Calculus
  • Further Algebra
  • Polar Coordinates
  • Differential Equations
  • Hyperbolic Functions
  • Further Vectors
  • Series

  • Dimensional Analysis
  • Work Energy and Power
  • Impulse and Momentum
  • Centre of Mass
  • Motion in a Circle
  • Further Dynamics and Kinematics

  • Graphics and Networks
  • Algorithms (including Network, Simplex)
  • Decision Making in Project Management
  • Graphical Linear Programming
  • Game Theory
Further Pure:
  • Sequence and Series
  • Number Theory
  • Groups
  • Further Vectors
  • Surfaces
  • Partial Differentiation
  • Further Calculus

Hear what the students think