Further Maths

Students who have a particular talent and enjoyment of mathematics should consider studying Further Mathematics at A Level in addition to Mathematics. The course will extend the knowledge gained through studying the A level Mathematics course and also cover new areas of mathematics. This means that A Level Mathematics is a required subject in order to study A Level Further Mathematics. The mathematics covered will be helpful not just to students intending to study mathematics at degree level but to any potential physicists, engineers or computer scientists.


  • Develop a deeper understanding of Further Mathematics and an ability to use it in a variety of contexts, while extending mathematical thinking and problem solving
  • To extend your range of mathematical skills and techniques and use them in more difficult, unstructured problems.
  • Develop an understanding of coherence and progression in mathematics and of how different areas of mathematics can be connected

Exam board:    OCR (MEI)
Syllabus title:  OCR Level 3 Advanced GCE in Further Mathematics B (MEI)
Course code:    H645

Course content

The qualification comprises one mandatory core Further Pure paper and then a combination of a minimum of 3 optional / minor papers. The minor papers will be Statistics, Mechanics and one of the following units: Modelling with Algorithms, Numerical Methods, Extra Pure, or Further Pure with Technology.

Further Pure Mathematics is an exciting part of maths which introduces you to imaginary numbers, parabolic and hyperbolic equations, matrices and proof by induction. It is extremely rewarding, but not for the faint hearted. You will also delve further into imaginary numbers, first and second order differential equations and polar coordinates.

Assessment and weighting

The course is assessed through exams only, with 4 exams taken for a full A-Level at the end of the 2-year course.

Paper 1 covers all Further Pure mathematics with Paper 2, 3 and 4 giving options of topics including extension of Further Mechanics, Further Statistics and the additional unit studied.

Paper 1 is worth 144 marks (50%) and is a 2 hour 40 minute exam with papers 2, 3 and 4 all worth 60 marks each (16 2/3%) and are 1 hour 15 minute exams.


Future opportunities/ career

A-Level Further Mathematics is a “facilitating subject”, approved by Russell Group universities. It is a preferred course for studying Mathematics, Physics and Engineering, and would also feed into courses in Chemistry and Economics.

Qualifications/ School record


To study ​Further Maths you really need to have a passion for the subject considering you’ll be taking 2 Maths A Levels. You will cover a lot of complex content in a very short space of time, so you really need to enjoy the challenge and enjoy spending several hours working through Maths problems.

A Grade 8/9 at GCSE is therefore advisable although we will consider high Grade 7 candidates, in consultation with their year 11 Mathematics teacher.

  • Grade 7 or above in Maths
  • 95% attendance in Year 11
  • Good attitude to learning in Maths


  • Hard working

  • Resilient

  • Willing to seek help when stuck

  • Enjoy Maths (particularly Algebra)



  • Organisation and time management

  • Independent learner

  • Problem solver

  • Able to make connections within Maths and with the outside world

  • You need to have determination and perseverance. Maths can be difficult when you are faced with a complex problem, but rewarding when you manage to solve it correctly


  • Have participated in Maths Challenges / competitions in KS3 and/or KS4


Updated 08/03/2022