What is the TMUA? Papers, scoring, universities and preparation

The papers run one after the other, 2 hours 30 minutes in total. Calculators and dictionaries aren't allowed. The test is taken on a computer at a Pearson VUE test centre.

The official TMUA content specification lists the topics. In short:

• Paper 1 draws on GCSE Higher maths and AS-level pure maths: algebra and functions, sequences and series, coordinate geometry, trigonometry, exponentials and logarithms, and differentiation and integration.
• Paper 2 uses the same maths, but asks you to reason about it: whether statements are true, what "if... then" and "only if" mean, necessary and sufficient conditions, counterexamples and finding errors in proofs.

The maths isn't beyond AS level. What makes it hard is that questions are unfamiliar and you have to choose a method quickly, with about 3 minutes 45 seconds per question.

Requirements are set course by course. For 2027 entry, examples include:

• Imperial: courses in the Department of Computing (including joint Mathematics and Computer Science), the Department of Mathematics, and BSc Economics, Finance and Data Science.
• LSE: required for BSc Economics and BSc Econometrics and Mathematical Economics, and recommended for several other programmes.

Other universities, including Cambridge, Oxford and Warwick, use it for some maths, computer science or economics courses. Requirements have changed in recent years, so check the UAT-UK course list and each course page before booking.

Each correct answer earns a mark and wrong answers aren't penalised, so answer every question. Your marks are converted to a score from 1.0 to 9.0, to one decimal place. There's no pass or fail: universities use the score alongside the rest of your application.

UAT-UK doesn't publish the conversion from raw marks, so when you practise, track how many you get right per paper.

Check whether your course needs a particular window. Some universities expect the October sitting.

1. Check your courses on the UAT-UK course list.
2. Take a timed baseline: our free TMUA practice test is in the style of Paper 1, with 20 questions in 75 minutes and worked solutions.
3. Secure AS-level pure maths. Calculus, logs, series and trigonometry come up often. Our ESAT Mathematics 2 practice test is useful extra practice on the same topics at speed.
4. Learn the logic for Paper 2. It isn't on the A-level syllabus. Work through the logic section of the content specification and practise spotting the flaw in a proof.
5. Use the official practice and past papers from UAT-UK, under timed conditions.
6. Review every mistake: was it a content gap, a slip, or a slow method? Fix the cause, not just the answer.