Further Maths

Course description

It is taken in addition to A level maths.

You will study three areas of mathematics: -Further Pure Mathematics, Further Statistics and Further Mechanics.

Concepts studied during A level maths are developed to cope with more challenging situations and new ideas are introduced to widen the range of problems you can deal with.

Year 1

Year 2


Algebraic methods - proof

Algebraic and partial fractions

Functions and modelling

Sequences and series

The binomial theorem




sec, cosec and cot

Parametric equations


Numerical methods



Regression, correlation and hypothesis testing

Normal Distribution

Conditional Probability




Application of Forces


Further kinematics



Complex Numbers

Argand Diagrams


Roots of Polynomials

Volumes of Revolution


Linear Transformations

Proof by Induction


Volumes of Revolution

Polar Coordinates

Hyperbolic Functions

Differential Equations

Modelling with Differential Equations


Discrete Probability Distributions

Poisson and Binomial Distributions

Geometric and Negative Binomial Distributions

Hypothesis Testing

The Central Limit Theorem

Chi Squared Tests

Probability Generating Functions

Quality of Tests


Momentum and Impulse

Work, Energy and Power

Elastic Springs and Strings

Elastic Collisions in One Dimension

Two Dimensional Collisions

A Level exam structure

A 2-year linear programme of study. Four exams taken at the end of year 13

Paper 1- Core Pure maths (1.5 hours) -75 marks

Paper 2- Core Pure maths (1.5 hours) -75 marks

Paper 3- FS1 (1.5 hours)- 75 marks

Paper 4- FM1 (1.5hours)- 75 marks

Possible progressions

Naturally it enables students to progress onto Maths degrees, but it also opens the door to Computer Science, Economics, Engineering, Actuarial Science at the best universities in the world.

Our Further Maths alumni currently work in the following area/roles:   

Mechanical engineering, chemical engineering, chartered accountancy, consultancy, project management, financial trading, teacher, actuary, doctor, dentist, optician, physiotherapist, radiologist, data research officer, research fellow at Cambridge, microbiologist, merchant banker, overseas banking and many more prestigious occupations.                   


GCSE Grade 7 to 9 with a teacher recommendation if you have a Grade 7.

Good subject combinations

Physics, Geography, Biology, Sociology, Chemistry and Psychology.

What do students say about your course?

"I am currently reading Mathematics at Cambridge University. The Maths Department encouraged me to be an independent learner. I was able to work at a pace that suited me with students of a similar ability level thanks to the way further maths is timetabled. My teachers were always not only knowledgeable but humorous and approachable."