Single Maths is demanding. Further Maths is a different animal. Here's an honest breakdown of who each course is really for — and what top UK universities actually expect.

A-Level Maths is already one of the hardest subjects on the UK curriculum. Further Maths sits on top of it as a second, separate A-Level — and the jump is bigger than most students expect.

If you're deciding between them (or whether to add Further Maths as a third or fourth A-Level), this guide will save you a term of second-guessing.

The short version

Single Maths (A-Level Mathematics): Pure + Statistics + Mechanics. Rigorous, but doable alongside three other A-Levels. Required or preferred for most STEM, economics, and computer science degrees.
Further Maths: A full second A-Level taken on top of Single Maths. Deeper pure content (complex numbers, matrices, differential equations, further calculus) plus optional applied modules. Expected — sometimes required — for maths, physics, and engineering at top-tier universities.

You cannot take Further Maths without also taking Single Maths.

What's actually in each course

Single Maths (Edexcel / AQA / OCR — content is very similar):

Pure: algebra, functions, sequences, trigonometry, calculus (differentiation and integration), exponentials and logs, vectors, numerical methods.
Applied: statistics (probability, distributions, hypothesis testing) and mechanics (kinematics, forces, moments).

Further Maths adds:

Core Pure: complex numbers, matrices, further calculus, polar coordinates, hyperbolic functions, differential equations, proof by induction.
Optional modules (school chooses two): Further Pure, Further Statistics, Further Mechanics, or Decision Maths.

The Further Pure content is essentially first-year undergraduate maths, one year early.

Who should take Single Maths

Take Single Maths if:

You want to study engineering, physics, computer science, economics, or any science at a good UK university.
You enjoy maths but it isn't your top subject.
You're already carrying three demanding A-Levels and don't have bandwidth for a fourth.
Your target universities list Maths as required but Further Maths only as "preferred" or "helpful."

Single Maths alone is enough for the vast majority of STEM degrees at Russell Group universities.

Who should take Further Maths

Take Further Maths if:

You're applying for Maths, Physics, or Engineering at Cambridge, Oxford, Imperial, Warwick, or LSE. For Maths at Cambridge, Further Maths is effectively required. For Physics and Engineering at these universities, it's strongly expected where offered.
You're aiming for Economics at LSE, UCL, or Warwick — Further Maths is a real advantage.
You genuinely enjoy maths and score consistently above 85 percent on GCSE / IGCSE Higher without much effort.
Your school offers it (many state schools don't — this is not your fault, and universities know it).

Important: If your school doesn't offer Further Maths, the Further Mathematics Support Programme (FMSP) offers free tuition. Universities will not penalise you for lacking access, but they do expect you to have sought it out if you're applying to the top tier.

What top universities actually say

Cambridge (Maths): "Further Mathematics to A-Level (or equivalent) is required where available."
Oxford (Maths): "Further Mathematics is highly recommended."
Imperial (Engineering): "Further Mathematics is preferred where available."
Warwick (Maths): Further Maths at grade A is part of the standard offer.
LSE (Economics): Further Maths is not required but "strongly preferred" — and most successful applicants have it.

Translation: for elite maths and physics programmes, "recommended" or "preferred" often functions as "required in practice."

The workload reality

Further Maths is not "a bit more maths." It's a second full A-Level. Expect:

Roughly 4-5 extra hours of independent study per week on top of Single Maths.
Faster pace — teachers assume you've mastered Single Maths content quickly so they can move on.
Content that's genuinely new (complex numbers, matrices) rather than deeper versions of what you've seen before.

Students who thrive in Further Maths usually finish their Single Maths homework quickly and want more. Students who struggle with Single Maths pace should not add Further Maths — a strong Single Maths A is worth more than a weak Further Maths grade.

The AS-Level middle path

Many students take AS Further Maths — one year, half the content, worth half an A-Level. This is a smart compromise if:

You want to signal mathematical ambition to universities without carrying a full fourth A-Level into Year 13.
You're unsure whether to commit and want a low-risk trial in Year 12.
Your school offers it (not all do).

Universities view AS Further Maths favourably. It's not as strong as the full A-Level for Cambridge Maths, but it's significantly better than nothing.

The honest test: should you take Further Maths?

Answer yes to at least three of these:

You scored a grade 8 or 9 (or A* equivalent) at GCSE / IGCSE Maths.
You genuinely enjoy maths — you'd solve problems for fun.
You're applying to a top-10 UK university for Maths, Physics, Engineering, or Computer Science.
Your school offers Further Maths (or you can access FMSP).
You can commit an extra 4-5 hours per week without your other A-Levels suffering.

Two yeses or fewer? Take Single Maths, get an A*, and use the time to strengthen your other subjects. That's a stronger UCAS application than a scraped Further Maths pass.

What we tell our students

For students aiming at Cambridge Maths, Oxford Physics, or Imperial Engineering, Further Maths is non-negotiable and we build our tutoring around it — including STEP, MAT, and PAT prep in Year 13.

For everyone else, the honest advice is: master Single Maths first. A strong foundation in Pure, Statistics, and Mechanics opens more doors than a shaky Further Maths grade.

Bottom line

Applying to top-tier Maths / Physics / Engineering? Take Further Maths if your school offers it. This isn't optional in practice.
Applying to standard STEM or Economics? Single Maths is enough. Get the A*.
Unsure? Take AS Further Maths in Year 12 and decide in June.

Not sure which fits your target universities? Book a free diagnostic and we'll map your subject choices against your UCAS shortlist.

A-Level Further Maths vs Single Maths: Which One Do You Actually Need?