Further Mathematics

Exam Board and Specification Codes: Edexcel (8FM0, 9FM0)

Further Mathematics extends the concepts introduced during the Maths course and is aimed at students with a particular interest and ability in the subject. Students delve into more complex calculus and algebra, learn a variety of methods of proof and discover abstract concepts, such as the square root of minus one, beyond the scope of the Maths course.

Students develop more mathematical modelling skills, particularly in mechanics and statistics, and may learn to analyse practical problems in decision mathematics such as the travelling salesman or game theory.

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What is covered by the course?

Year 1

Component 1 - Core Mathematics

Compulsory

Component 2 - Applied modules

Further statistics, further mechanics, decision

Year 2

Component 3 - Core Pure Mathematics 1

Complex numbers, algebra, calculus, matrices, vectors
Compulsory

Component 4 - Core Pure Mathematics 2

Complex numbers, algebra, calculus, polar forms, differential equations
Compulsory

Component 5 - Applied modules

Further statistics, further mechanics, decision
Optional

How is it examined?

Paper 1 - Written Assessment (1 hour and 40 minutes)

Core
50% of the total AS-Level

Paper 2 - Written Assessment (1 hour and 40 minutes)

2 applied options combined from two of FS1, FM1 or D1
50% of the total AS Level

Paper 3 - Written Assessment (1 hour and 30 minutes)

Core Pure Mathematics
25% of the A-Level

Paper 4 - Written Assessment (1 hour and 30 minutes)

Core Pure Mathematics 2
25% of the A-Level

Paper 5 - Written Assessment (1 hour and 30 minutes)

2 applied options from FS1 FM1 or D1
25% of the A-Level

Paper 6 - Written Assessment (1 hour and 30 minutes)

2 applied options from FS1 FM1 or D1
25% of the A-Level

Related university courses & careers?

Students who study both Mathematics and Further Mathematics (commonly called Double Maths) are usually looking to take a highly-mathematical course at university, such as Engineering, Physics or Mathematics itself. For many other university courses Double Maths would be considered to be too much Mathematics, unless Further Mathematics is a fourth A-Level.

Mathematics is required for a huge variety of courses at university including Mathematics, Physics, Engineering, Computing, Economics and Psychology. In addition, A-Level Mathematics is preferred for many other courses, including Business, Chemistry and Geography.

Suggested literature & resources

‘Edexcel AS and A level Further Mathematics Further Pure Mathematics 1 Textbook’ by Pearson Edexcel Qualifications
‘Edexcel A level Further Mathematics Core Pure Mathematics Book 2 Textbook’ by Pearson Edexcel Qualifications