This subject is for those who love maths and really want to take it further. It allows you to delve deeper into the subject in a more challenging way. It is highly recommended if you are hoping to pursue a course in a STEM subject (Science, Technology, Engineering and Mathematics) at university.

In order to take this course you must also be enrolled on the A Level Mathematics course.


Grade 7 or above in GCSE mathematics AND accepted top study A Level Mathematics.

Students wishing to study Further Mathematics will poses a clear understanding of why they wish to continue study in this field. This will usually be because they already have decided to study Mathematics at University or because the recognise how Mathematics supports other fields of study such as Science and Engineering.


All students study the same core mathematical content for Further Mathematics. The remaining content of the course includes further study of pure mathematics, statistics, mechanics and other areas of mathematics.

Topic areas studied include complex numbers, which allow the solution of a range of equations that would otherwise have no solutions, through the introduction of ‘imaginary’ numbers, and matrices which consist of grids of numbers that can be used to represent transformations and are used to solve simultaneous equations amongst many other uses.

Other areas of pure mathematics are covered such as polar co-ordinates, differential equations and hyperbolic functions. Each of these builds on earlier topics and encourages the development of a wider understanding of the ways in which mathematical topics are interconnected.


The breadth of mathematical applications is immense. It underpins most of science, technology and engineering and is also important in areas as diverse as business, law, nutrition, sports science and psychology. There are many opportunities to use mathematics to make a difference in society, for example through the analysis involved in medical research, developing new technology, modelling epidemics or in the study of patterns of criminal activity to identify trends.

If you plan to apply for a STEM (Science,Technology, Engineering and Mathematics) degree you should consider taking Further Mathematicsl. Further Mathematics is also a fantastic qualification for those students who love mathematics and want to devote more time to studying wider aspects of the subject.


Individual problem solving 

Logical reasoning

Presenting clear arguments

Working with others to solve problems

Applying Maths in context 

Using ICT to help solve problems