GCSE Further Mathematics


Further Mathematics is an optional GCSE subject designed for students with above average mathematical ability. It aims to broaden the mathematical experience of high attaining students, beyond the limits of the GCSE Mathematics specification.

Students hoping to study GCSE Further Mathematics at Foyle College are required to be placed in the top half of the year group in the Year 10 Junior Certificate Mathematics examination .

Course Details

The CCEA GCSE Further Mathematics course is studied. There is only one level of entry which allows access to grades A* - E.

The course is covered in Year 12, with 9 periods of class-time per week. 

Course Content

The course is divided into two sections, namely Pure Mathematics and Mechanics and Statistics.  Topics covered in each section are detailed below.

Pure Mathematics Mechanics and Statistics
Algebra Linear Motion
Matrices Newton's Laws
Trigonometry Equilibrium and Motion
Logarithms Moments
Differentiation Summarising Data
Integration Bivariate Analysis
Vectors Probability

Scheme of Assessment

There is no controlled assessment. Assessment is by examination only.


Paper 1            Pure Mathematics                                                       50 %

Paper 2            Applied Mathematics (Mechanics and Statistics)           50 %

Each paper lasts 2 hours and contains approximately 12 compulsory questions. The examination is taken in June of Year 12.


Pupils are entered for the UK Mathematics Trust Intermediate Maths Challenge competition in February. In 2012, two Gold, eight Silver and ten Bronze Awards were achieved, with Ethan Smith qualifying for the Pink Kangaroo round.

Benefits of Studying GCSE Further Mathematics

GCSE Further Mathematics is a prerequisite for studying A-Level Mathematics at Foyle College. It bridges the gap between GCSE and A-level by allowing much of the AS Mathematics course to be studied in Year 12. Most students who choose this option continue to study Mathematics at A-level.

The knowledge and skills delivered by the Further Mathematics course are also invaluable in helping students cope with the mathematical content of other A-level subjects. For example, Pure Mathematics is useful in Science, Mechanics is useful in Physics and Statistics is useful in Business Studies and Geography.

Career Opportunities

Further Mathematics provides an extra GCSE mathematical qualification that will enhance career prospects. Highly numerate students are eagerly sought in all areas of employment.