Further Maths

Why should I study Further Mathematics?

Why should I study this subject?

To study Further Maths you also need to be studying Maths, so it is essential that you really enjoy, and are good at maths – the number of maths lesson you have will be doubled! Further Maths A-Level gives you the opportunity to study all types of maths (pure maths, statistics, mechanics, decision maths) to a greater depth. If you are considering applying for maths at university you are strongly advised to take this course.

What will I study?

AS/Y12 Further Maths, compulsory content:

Complex numbers; Matrices; further algebra & functions; further calculus; further vectors; Polar coordinates; hyperbolic functions; further coordinate geometry,

Optional content from: mechanics, statistics or discrete maths.

A-Level/Y13 Further Maths, compulsory content: All AS content plus: Proof; Differential equations; Trigonometry; & Numerical methods.

Optional content from: mechanics, statistics and discrete maths.

What are the entry requirements?

Level 4 in English Language and Level 8 Maths with a minimum average GCSE point score of 5.2.

What skills do I need?

  • To understand and use mathematical language & symbols, present mathematical arguments, translate situations into mathematical models and use those models to solve mathematical problems.
  • Excellent algebraic skills.
  • A great enthusiasm for Mathematics.


How will I be taught?

Using a variety of methods; whole class discussion & teaching, independent study, small group work, with relevant, regular feedback from your teacher. Some students may be able to pick up AS Further Maths in Year 13 (dependent on progress in Y12 Mathematics)

How will I be assessed?

A-Level maths is assessed by means of a three 2 hour written examinations. There is no coursework.

What will the course prepare me for?

Mathematics is a much sought after qualification for entry to a wide variety of careers and Higher Education courses. Examples include Accountancy, Law, Teaching, Engineering, IT, Medicine, Mathematics and Computing.

For students applying to study Mathematics at highly competitive universities (such as Oxford, Cambridge, Warwick), Further Maths A-Level will often be expected, alongside Mathematics and possibly two other full A-Levels.

How much private study should I expect to do?

As an approximate guideline, Year 12 requires three to four hours of independent study each week. In Year 13  four to five hours.

What materials will I need to purchase?

Graphical calculators are exceptionally useful for students studying Further Mathematics and students will have the opportunity to purchase one, should they choose, in September.

What is the exam board?


This subject is for you if…
you have real flair for maths, you want it to take up two subject choices and you’re considering maths or a maths related course at university.

This subject is not for you if…
you are not an exceptionally committed and passionate mathematician – it is too challenging to ‘coast’ through.

“If Maths is good… Further maths is better! Fun and challenging.”
Charlie Peck, Holy Family

“Further Maths is an interesting, albeit challenging, subject, perfect for anybody hoping to take maths beyond A-Level. It is taught by good staff who are always willing to help.”
Eva Shelmerdine, Horbury Academy