Further Mathematics A-level

A-level Further Mathematics is a highly specialised and challenging course designed to broaden and deepen the mathematical knowledge and skills developed when studying A-level Mathematics.

Studying Mathematics and Further Mathematics is a strong combination, and both are classed by the top universities as facilitating subjects, which means they will help you progress to competitive courses such as Medicine, Aeronautical Engineering, Physics and Economics as well as to Mathematics degrees. Many universities will make you a better offer if they see you are studying Further Mathematics.

What topics/modules are covered?

Compulsory content:

  • Mathematical argument, language and proof
  • Mathematical problem solving
  • Mathematical modelling

You will then select two of these options:

  • Mechanics
  • Statistics
  • Discrete

What are the entry requirements?

If you intend to study a programme of A-levels:

  • To study a programme of A-levels (plus a re-sit in GCSE maths if needed), you will need a minimum of five GCSEs at grades 9-4 including English Language (grade 4 or above).

If you intend to study a combination of A-levels and BTEC:

  • To study a combination of A-levels and BTEC Extended Certificate (plus a re-sit in GCSE maths or English if needed), you will need a minimum of four grades 9-4 at GCSE plus 1 BTEC equivalent. If you have studied a subject at GCSE/Level 2, you must get a grade at least at 9-4/Pass, if it is to be studied.

Additional entry requirements:

  • Grade 8 or above in GCSE Mathematics is required to study Further Mathematics at A-level. Further Mathematics must be taken alongside A-level Mathematics.

The College will always treat each applicant as an individual. Should you not have or not expect to obtain the grades stated above, or not have relevant industry-related experience, the College would still welcome your application for this course as this will enable us to identify whether this course is, in fact, the right course for you or whether another course may be more appropriate.

All course offers will be subject to satisfactory interview and reference.

How will I be assessed?

There are two written exams in each year. Each exam is one and a half hours long and worth a quarter of the final A-level grade.

Paper 1 may assess content from the following sections:

  • Proof
  • Complex numbers
  • Matrices
  • Further Algebra and functions
  • Further calculus
  • Further vectors
  • Polar coordinates
  • Hyperbolic functions

Paper 2 will assess two of the topics studied from Mechanics, Statistics or Discrete.

What can I do if I complete this course?

  • University
  • Higher/Degree Apprenticeship
  • Employment

Career Path

Further Mathematics is highly prized by universities and employers in whatever area you study. However, it is essential to take Further Mathematics to at least A-level if you wish to study Mathematics, Physics or Engineering at some top universities.

What qualification will I gain?

AQA A-level Further Mathematics (7367).

Start date



2 years.

Where will I be based?

Sixth Form Centre, South Sefton Campus.

Terms, Conditions and Disclaimer

We reserve the right to make changes and improvements to the provision of courses and other details. There are minimum numbers of students required for each course to run. Should there be insufficient numbers to run a particular course, then every effort will be made to enrol you on a similar, appropriate course.

Last modified on Monday, 27 November 2017 10:50