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This course is aimed at exceptionally strong students whose main interest is in Mathematics.

It is well suited to mathematicians who are amongst the very best in their current school with a real passion for studying abstract ideas and solving complex problems – the harder the better! Those who choose this course regularly know more about this vast subject, enjoying it for its own sake.

You can expect to meet many new concepts and methods very quickly. The problems set will often be searching, and you will need to be able to explain or justify your solutions with the utmost rigour.

Further Mathematics is a double A Level. You will have twice the number of lessons as other subjects, and it will require at least double the amount of self-study. However, you will achieve a double grade as within the course you complete the Maths A Level content alongside a Further Mathematics A Level.

This course should be studied alongside two other Level 3 Extended Certificates/A Levels and you will earn four qualifications in total through your Study Programme.


In the first year you will study Further Mathematics AS Level, alongside completing most of the A Level Mathematics course (we usually complete this material around November of your second year).

In your second year, all of the areas met on the Mathematics course are developed, alongside introductions to new topics.

In Pure Maths, these extra topics include:

  • Complex Numbers
  • Hyperbolic Functions
  • Second Order Differential Equations
  • Polar Coordinates
  • Proof by Induction

Mechanics topics include:

  • Circular Motion
  • Work, Energy and Power
  • Elastic Strings

Extra Statistics topics include:

  • Continuous Random Variables
  • Hypothesis Testing for Association
  • Confidence Intervals


You will need (or equivalent to):

  • GCSE Mathematics grade 7 (A* for IGCSE) or above
  • GCSE English Language or Literature grade 4/C or above
  • plus three more GCSEs grade 4/C or above

It is strongly recommended you have:

  • GCSE Mathematics grade 8 or above

There are three, 2 hour written exams at the end of the course.

Further Maths students usually (but not always) progress to degrees or careers in Science and Technology. Previous students have gone to study for degrees in Mathematics, the Sciences, Engineering, Finance, Economics, Medicine amongst many other subjects.

Others have progressed to Apprenticeships, most frequently in Finance or Accountancy or in Engineering. These routes have lead to careers in many different fields.

Do I have to do Further Maths to study Maths or Physics at university?

No, not at most universities. Only a small number would probably insist upon it – even most Russell Group universities do not require it for Maths or Physics, but some may give a very slightly lower offer for Maths or Physics if you have taken Further Maths as one of your A Levels.

Do I take A Level Mathematics after one year?

Although we currently complete most or even all of the content of A Level Maths in the lower sixth year, we do not enter students for the public exam until the end of the second year when students are likely to do even better.

Do I need a new calculator?

You will eventually need at least an Advanced Scientific Calculator, but there is no need to purchase one for the start of the course. We will advise on some suitable models towards the end of the first term.