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Further Mathematics A Level

Examining Board: Edexcel


Overview

Choosing to study A Level Further Mathematics is an exceptional academic statement that sets you apart as a premier problem solver ready to tackle the universe’s most complex intellectual challenges. Taken alongside standard A Level Maths, this course introduces deeply rewarding, highly abstract concepts—such as complex numbers, matrices, hyperbolic functions, and polar coordinates—offering a profound look into the elegant architecture of advanced logic. 

 It is the ultimate "super-facilitating subject", actively demanded or strongly preferred by elite Russell Group universities for hyper-competitive degrees like physics, computer science, engineering, and economics. By committing to Further Maths, you are not just practicing higher-level arithmetic; you are developing a rare depth of mathematical fluency and cognitive resilience that signals to top-tier universities and global industries that you are capable of mastering the world's most sophisticated technical fields. 


Course Content

A Level Further Mathematics has the following topics:
  • Core Pure Maths Content: Proof; Complex Numbers; Matrices; Further Algrebra and Functions; Further Calculus; Further Vectors; Polar Coordinates; Hyperbolic Functions; Differential Equations.

Options Content - Choose to study either 2 units of the same content OR 1 unit from 2 different topics.

  • Statistics and Mechanics: Both build on work covered in A level and include Poisson testing, hypothesis testing, and chi-squares tests for statistics, momentum and impulse, and elastic collisions for mechanics. 

  • Further Pure Mathematics: Expanding on the compulsory Pure topics plus conic sections, numerical methods and inequalities. 

  • Decision Mathematics: Route inspection, linear programming, the Travelling Salesman problem, and critical path analysis.

Entry Requirements

 5 GCSEs at grade 4 or above, including English Language, and a Grade 8 or above in GCSE Maths. 

How is it Assessed?

Paper 1: Core Pure Mathematics 1 (25%)  

Paper 2: Core Pure Mathematics 2 (25%) 

Paper 3: Your First Option (25%)   

Paper 4: Your Second Option (25%)   

This can be any other Option 1 that you haven’t already picked or the corresponding Option 2 to your first option. See below for possible option combinations. 

Future Pathways

An A Level in Further Mathematics is a “super-facilitating subject” highly regarded by both Universities and employers alike. Our past alumni have gone on to study a plethora of degree subjects, usually with a strong mathematical content, at some of the top Universities in the country including; Mathematic at Oxford University and the University of Bristol, Engineering degrees and Physics degrees. Career opportunities include: Quantitative Analyst, Actuary, Investment Banker / Financial Analyst, AI Engineer, Data Scientist, Cryptographer, Aerospace Engineer, Renewable Energy Engineer, Meteorologist / Climate Modeller, Pure Mathematician and Theoretical Physicist. 

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