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Course description

Further Mathematics builds on the skills, knowledge and understanding set out in the whole GCSE subject content for Mathematics and the subject content for the A-Level Mathematics qualifications.  Assessments will be designed to reward students for demonstrating the ability to provide responses that draw together different areas of their knowledge, skills and understanding from across the full course of study for Mathematics.  Problem solving, proof and mathematical modelling will be assessed in Further Mathematics in the context of the wider knowledge which students taking A level Further Mathematics will have studied.

Course content

Core Pure Mathematics 1 and 2

Content overview:

  • Proof
  • Complex Numbers
  • Matrices
  • Further Algebra and Functions
  • Further Calculus
  • Further Vectors
  • Polar Coordinates
  • Hyperbolic Functions
  • Differential Equations

Decision Mathematics 1

Content overview:

  • Algorithms and Graph Theory
  • Algorithms on graphs
  • Critical Path Analysis
  • Linear Programming

The fourth unit will be decided during Year 12.


Entry requirements

5 GCSEs at Grade 4 or above.  (At least a grade 7 is required in Mathematics, although grade 8 or 9 would be advantageous.  Also studying A level Mathematics is essential).


Further Mathematics consists of four externally examined papers of 1.5 hours each, each paper is worth 25%.  Two papers are aimed at Pure Mathematics and there are two option papers.

Financial information


Future opportunities

This qualification is essential for pupils wishing to study Mathematics at University.  It is respected by Universities due to its academic rigour.  It will be of use for any job or course involving Mathematics, Physical Sciences, Engineering, Accountancy, Computer Science, Medicine, Architecture, Biological Sciences etc.

Further information

Contact: Ms Lynch at Royds School or Mrs Jamieson at Brigshaw High School

How to apply

You can apply for this course through UCAS Progress. Add this course to your favourites so you can start making an application.

Last updated date: 29 October 2017
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Key information

  • Start date: Next September
  • Duration: 2 year course