A Level: Mathematics (Further)

Course title: Advanced GCE in Further Mathematics (H245)

Exam board: OCR

Subject specific entry criteria: Grade 8 or above in GCSE Mathematics.

Course overview

Pure Core topics include:

  • Complex Numbers
  • Matrices
  • Proof by Induction
  • Roots of Polynomials
  • Vectors
  • Differential Equations
  • Polar Equations
  • Hyperbolic Functions
  • Further Integration

Mechanics topics include:

  • Work, Energy and Power
  • Dimensional Analysis
  • Collisions
  • Elasticity
  • Circular Motion

Additional Pure Mathematics topics include:

  • Group Theory
  • Number Theory
  • Recurrence Relations
  • Surfaces & Partial Differentiation
  • Further Vectors
Assessment overview

AS Further Maths examinations will be taken at the end of Year 12.

Paper 1:

  • Pure Core 1 (Y540)
  • 75 marks
  • 1 hour 30 minutes written paper
  • 25% of total A Level

Paper 2: 

  • Pure Core 2 (Y541)
  • 75 marks
  • 1 hour 30 minutes written paper
  • 25% of total A Level

Paper 3: 

  • Additional Pure (Y545)
  • 75 marks
  • 1 hour 30 minutes written paper
  • 25% of total A Level
Future progression

Further Mathematics students are demonstrating commitment to their studies, as well as learning content that is hugely beneficial for any mathematically rich degree. A number of elite universities require a Further Mathematics qualification to study a mathematical degree whilst others may reduce their grade requirements for Further Mathematics students.

Potential careers

Mathematics allows entry to a huge range of careers in areas including: Engineering, Science, Research, Computing, Cryptology, Accountancy, Finance and Consultancy.

How to succeed in Further Mathematics

Further Mathematics is one of the most demanding A Level courses, requiring intensive study and reiteration of skills throughout the syllabus. Algebraic fluency is essential to succeed and must be coupled with the ability to process very abstract concepts and problems. It is recognised as one of the more intensive study programmes and requires a lot of self-resilience and independence. A flair and passion for Maths is essential to succeed.