A-Level Maths vs A-Level Further Maths: Which Should You Take?

The question every Year 11 student faces

You've done well at GCSE Maths. You're heading into sixth form. Now someone's telling you to think about whether to do "just" A-Level Maths or the full Further Maths too.

Here's everything you need to know to make the right call.

What A-Level Maths actually covers

A-Level Maths is a two-year course divided into:

• Pure Mathematics (roughly 67% of the course) — algebra, calculus, trigonometry, proof, vectors, exponentials, logarithms
• Statistics (roughly 17%) — probability, distributions, hypothesis testing, data interpretation
• Mechanics (roughly 17%) — kinematics, Newton's laws, forces, moments

This is assessed across three 2-hour papers. For most students, this is a significant step up from GCSE — particularly the calculus content.

What Further Maths adds

A-Level Further Maths builds on top of A-Level Maths. It is always taken alongside it, never instead of it. Additional content includes:

• Complex numbers — Argand diagrams, de Moivre's theorem, roots of polynomials
• Matrices — transformations, determinants, solving systems
• Further calculus — polar coordinates, improper integrals, reduction formulae
• Hyperbolic functions
• Decision mathematics or Further Statistics or Further Mechanics (depending on board and school)

Further Maths is widely considered the hardest A-Level available. The content depth is genuinely university-level in places.

What universities actually require

Medicine: A-Level Maths alone is sufficient at almost all UK medical schools. Some (Imperial, UCL) recommend but don't require it.

Engineering: Most Russell Group engineering programmes require A-Level Maths. Oxbridge, Imperial, and some courses at UCL/Bath/Warwick strongly prefer or require Further Maths.

Physics: Maths required, Further Maths strongly preferred at top universities.

Economics: Maths required. Further Maths increasingly preferred at LSE, Oxbridge, and UCL.

Computer Science: Maths required. Further Maths preferred at top programmes.

Mathematics degree: Further Maths is effectively required at any serious university. Without it, you'll struggle significantly in Year 1.

Should you take Further Maths?

Take Further Maths if:

• You're applying to study Maths, Physics, or Engineering at a competitive university
• You genuinely find A-Level Maths content engaging rather than a grind
• You got Grade 8 or 9 at GCSE without excessive tutoring

Don't take Further Maths if:

• You're applying to medicine, law, economics, or social sciences (Maths alone is fine)
• GCSE Maths required significant effort to get a 7 or above
• You're already taking three demanding subjects and time is a constraint

The honest answer most teachers won't give you

Further Maths gives you a massive advantage at university — but only if you actually understand it. A student who gets a B in Further Maths and deeply understands the content will outperform one who gets an A* by memorising patterns.

If you're on the fence, try the first chapter of complex numbers. If it clicks quickly and you want to explore further — do it. If it feels like brute force — stick with A-Level Maths and master it completely.

Either way, use Infinity Stars to build the foundations. The deeper your A-Level Maths, the easier Further Maths content becomes.