Further maths

Why choose A level further mathematics?

A level further mathematics will stretch and challenge you, offering a deeper level of maths beyond A level Mathematics. It’s an ideal choice if you’re aiming for a degree, apprenticeship or career in STEM subjects such as engineering, physics, or computer science.

Developed with input from universities, the course builds a strong foundation for future study by expanding your knowledge and skills in advanced mathematical thinking and problem-solving.

You’ll strengthen your reasoning, precision, and communication – skills that are valued in science, technology, finance and many other fields.

How will A level further mathematics be delivered?

Further mathematics is taught through in-depth theoretical lessons that extend core mathematical concepts and challenge students through complex problem solving.

You will study several key areas:

• Mathematical argument, language and proof – developing skills in logical reasoning, mathematical notation, and constructing proofs
• Mathematical problem solving – learning strategies for tackling unfamiliar problems using a range of mathematical techniques
• Mathematical modelling – applying mathematics to real-world contexts, forming and refining models
• Compulsory core content – covering complex numbers, matrices, calculus, vectors, and other advanced topics
• Application 1: Statistics – focusing on probability distributions, hypothesis testing, and statistical techniques
• Application 2: Discrete mathematics – including algorithms, graph theory, and decision mathematics used in computing and logistics

Assessment

A level further mathematics is assessed through three written exam papers, each lasting 2 hours and carrying 100 marks. Each paper contributes equally to the final grade.

• Paper 1: All core content
• Paper 2: All core content
• Paper 3: Optional discrete and statistics content

All exams are taken at the end of the two-year course. There is no coursework component.

Progression

A level Further mathematics is highly regarded by universities and employers. It provides a strong foundation for a wide range of degree courses and career paths.

Studying this subject can help students to:

• Progress to competitive university courses, including those at Russell Group and Oxbridge institutions
• Prepare for degrees in mathematics, engineering, physics, computer science, and economics
• Meet the entry requirements or preferred subject lists for many STEM-related courses
• Strengthen their university applications with a challenging and respected qualification
• Develop transferable skills in problem solving, logical reasoning, and data analysis
• Access a wide range of careers, including finance, software development, actuarial science, and research