A level Further Mathematics



Recommended Background:

Students in year 13 who have already completed A level Mathematics and obtained a grade A or A* and who are likely to be taking some mathematics papers at university as part of a degree course.

Course Description:

The course will cover more advanced aspects of mathematics including polynomials and rational functions, differential equations, polar co-ordinates, summation, proof by induction, calculus, complex numbers, matrices and linear space, vectors, Newton’s laws of motion, projectile motion, momentum and impulse, circular motion, equilibrium and rotation of rigid bodies, simple harmonic motion, the geometric distribution, correlation and regression, bivariate data, inference using the Normal and t-distributions and chi-squared tests. This course will be guided self-study and requires a great deal of self-motivation to get through the enormous workload. The course assessment is two, three-hour examination papers, one on pure mathematics and one on the statistics and mechanics, at the end of the year.


  • Polar Co-ordinates
  • Mathematical Induction
  • Further Calculus
  • Matrices
  • Further Statistical Distributions
  • chi2-tests
  • Circular Motion
  • Variable Forces
  • Simple Harmonic Motion


Paper 1 Pure Mathematics External Compulsory Weighting: 50%
Paper 2 Statistics & Machanics External Compulsory Weighting: 50%