Skip to Main Content

Further Mathematics

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.

Further Maths will be offered at AS and A level.
In order to take this course you must also be enrolled on mathematics.

Qualifications & Assessments

Exam Board OCR-B(MEI)
Level Level 3
Qualification A Level
Assessment Method Examination
Entry Requirements Entry Requirements

All students study the same core pure mathematical content for Further Mathematics, which makes up half of the content for A Level and a third for AS level. The remaining half for A Level is split equally between mechanics, statistics and extra pure mathematics. The remaining two-thirds for AS Level is split equally between mechanics and statistics.

At AS, 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.

At A level, 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 Mathematics to at least AS level. 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.

  • UKMT Senior Maths Challenge
  • Maths Inspiration Lecture
  • Maths Fest
  • Dame Kathleen Ollerenshaw Lecture
  • Making Maths at Manchester
  • Problem Solving Course
  • Trip abroad

Related Courses

Chemistry

Chemistry is a linear A level course that requires, and develops, a variety of skills from mathematical calculations and problem solving to analysis and practical skills.

Photograph of chemistry students performing an experiment

Computer Science

Computers and technology are at the heart of almost everything we do. Entertainment, business, transport and education all rely on computers.

Photograph of a Computer Science student creating a program

Economics

Economics is concerned with the activities of different groups such as consumers, businesses and governments. It examines issues which are increasingly dealt with in the media such as debt, recession,[...]

Photograph of an Economics student studying

Mathematics

This course is for those who enjoy the challenges of mathematics and want an A level which is highly thought of by both employers and universities.

Photograph of an A level maths student.

Physics

The Advancing Physics course shows how Physics is exciting, always developing, of great practical use in many ways and in many careers, as well as probing some of the deepest[...]

Photograph of a physics student stood in front of a whiteboard.

Statistics

Using and understanding data is becoming increasingly important in many areas of study and employment. Understanding of statistics is a crucial skill, and this A Level aims to give students[...]

Photograph of a student with a calculator
News & Blog

Latest From Aquinas

I am thrilled for Aquinas students who have produced another outstanding set of results. Over 58% of A level results have been at the highest grades of A*, A or B, with a 99% pass rate. In addition, 70% of Vocational grades were at Distinction* or Distinction grades with a 100% pass rate. These amazing […]

Aquinas students celebrate their A level results

On Wednesday 19th June the media department took a group of students to visit the excellent facilities at the University of Central Lancashire (UCLAN)’s Media Factory. The students were given a tour of the facilities including a state of the art fully functioning TV studio.

Photograph of inside the Media Factory's TV studio control room.

You can never rely on the British weather, from pouring down rain, to beautiful blue sky, our L6 successfully completed their Duke of Edinburgh Gold practice expedition. What an amazing, all be it, wet, experience they had. Their resilience shown to keep going, support each other and work as a team to finish what was […]

Photoshop of students walking up a hill

After sadly losing our dear friend and colleague Grainne last year the Art & Design department are raising money for Sarcoma UK. Those of you that knew Grainne will know, she was energetic, loved life and the great outdoors and was always up for a challenge. So today (7th June) we are hiking 3560ft to […]

Photograph of the art department travelling to Snowdonia