Further Mathematics

What will you do on this course?

The course may only be taken with A Level Mathematics so together they occupy two subject choices. Further Maths extends many of the ideas  in the Maths course and opens up several new lines of study such as Complex Numbers and Matrices.  At the end of studying the two courses you will be equipped with a broad yet detailed set of analytical skills ready for a wide range of university courses.

Pure topics – Proof, Complex numbers, Matrices, Further Algebra and Functions, Further Calculus, Further Vectors, Polar coordinates, Hyperbolic functions, Differential equations, Trigonometry, Coordinate geometry.

Statistics – Discrete and Continuous Random Variables, Poisson Distribution, Type I +II Errors, Chi Squared Tests, Exponential and t-distributions.

Mechanics – Dimensions, Momentum, Work, Energy and Power, Circular Motion, Centre of Mass and Moments.

Discrete – Graph Theory, Networks and Flow, Linear Programming, Critical Path Analysis, Game Theory, Binary Operations and Group Theory.

The course is planned in a way to allow for AS entry at the end of Year 12 in consultation with teachers.

How will you be assessed?

AS Examinations – 2 papers, equally weighted

Paper 1 – Pure

Paper 2 – Statistics and Mechanics

A Examinations – 3 papers, equally weighted

Paper 1 – Pure topics only

Paper 2 – Pure topics only

Paper 3 – Statistics and Mechanics

What could this course lead to?

A Level Further Mathematics is applicable to Mathematics university degree courses and also sciences and engineering and is advantageous for many more.


Further Mathematics at A Level can be a challenging subject for some students. Ask your Maths teacher for advice about your suitability for this course.

What syllabus do you follow?