Further Mathematics - AS and A Level

Exam Board: EDEXCEL

Introduction to the Course

Mathematics is the science of number, quantity and space. AS and A2 are the further development of GCSE concepts to allow problem solving in the real world. Further Mathematics is divided into Pure, Decision and Further Statistics. The full Advanced Level qualification is a two year course which consists of the AS and A2 courses.

Entry Requirements

Standard entry requirements including: Grade 8 at Higher Tier in GCSE Mathematics. You will also need to be studying A Level Mathematics.

Students need to enjoy the subject and must have a positive attitude and be prepared to work consistently. Students need to be aware that Mathematics is not an easy option.

Course Content

Students will undertake the following sections of study:

Year 12 Modules

Core Pure 1:

Complex numbers, co-ordinate systems, matrix algebra, series, vectors and proofs.

Decision 1:

Algorithms, networks, graph theory, minimum spanning trees, Dijkstra’s and Floyd’s algorithms.

Further Statistics 1:

Discrete probability distributions, Poisson distribution, Geometric and Negative Binomial distributions, Hypothesis Testing.

Year 13 Modules

Core Pure 2:

Further calculus, first and second order differential equations, polar coordinates, hyperbolic functions and proofs.

Decision 1:

Critical path analysis, linear programming, Route Inspection and Travelling Salesman problems.

Further Statistics 1:

Chi Squared, Probability Generating Functions, Central limit Theorem, Quality of Tests.


There are two papers sat at AS Level which are weighted 50% each and are marked out of 80. There are four papers sat at A Level which are weighted 25% each and are marked out of 75; there is no coursework.

Future Career Progression

You will be able to combine Further Mathematics with any other subject; recent research shows that people with A Level Mathematics (any Grade) earn, on average,10% more than those without. Further Mathematics is ideal for those wishing to study Mathematics, Physics, Computer Science or Engineering at University.

Download Course Expectations (PDF).