Further Mathematics A Level

Course Content

Further Mathematics at A level provides students with an in depth insight into the world of complex numbers, differential equations and the kinematics of particles. Through the use of clear analytical and mathematical problem solving techniques students will be able to present solutions in a clear and accurate manner. In combination with Sciences and Technology, students will equip themselves with a powerful tool with which to tackle higher education at any university.

Course (Paper 1, Paper2, Paper 3 and Paper 4)

Paper 1: Further Core Pure Mathematics 1

Students are introduced to complex numbers (as having both real and imaginary parts). The use of parametric equations is taught as an alternative to the standard Cartesian axes. A study of matrices and a variety of series are studied together with proof by mathematical induction to complete the course.

Paper 2: Further Core Pure Mathematics 2

Students study further complex numbers and use them to solve differential equations. Introduction to polar coordinates and inequalities allow the students to find new routes to tackle seemingly unanswerable problems.

Paper 3: Further Pure 1

This extends ideas first met in the Core Pure part of the course.  The content is as follows:

  • Further Pure: Further calculus, further differential equations, coordinate systems, further vectors and Inequalities

Paper 4: Further Mechanics 1 and Further Statistics 1

Students sit both papers and the higher of their scores here contribute to their overall grade.  The content for these are as follows:

  • Further Mechanics: Momentum and impulse, collisions, centres of mass, work and energy
  • Further Statistics: Poisson distribution, Geometric and negative binomial distributions, Central limit theorem, chi-squared tests.


The examinations consist of a 90-minute paper for each module. They contain 75 marks each. Calculators can be used for all papers.


To be a successful candidate in Further Mathematics you need to above all enjoy the subject. A Grade 8 or 9 in Mathematics and Grade 6 in English Language at GCSE are necessary to be accepted to the course as much of the work taught is given to students to tackle outside of their classroom. This A level must be studied alongside three other A levels including single Maths.

Students will take an algebra test at the beginning of the year which they will need to pass to take the course.

This A level must be studied alongside three other A levels including single Maths.


Examination Board: Edexcel.    Course Number: Further Mathematics (9FM0)