The TMUA explained

What the TMUA is for

Applicants to the most competitive mathematical courses usually have the same top predicted grades, so grades alone can't separate them. The TMUA gives every applicant the same questions under the same conditions, whatever their school system, and tests the kind of mathematical thinking these degrees demand: applying what you know to unfamiliar problems, and reasoning carefully about mathematical arguments.

It is run by UAT-UK, a collaboration between Imperial College London and the University of Cambridge, which also runs the ESAT and TARA.

Who needs to take it

For 2027 entry, the TMUA is used by Cambridge, Oxford, Imperial, LSE, Warwick and UCL, and recommended by Durham for some courses. At some universities it is compulsory; at others it is recommended, and the same university can do both for different courses. The subjects are mainly Mathematics, Computer Science, Economics and related courses such as Data Science and Actuarial Science.

The full list, course by course, is in which universities use the TMUA. Oxford adopted the TMUA for 2027 entry in place of its own MAT; see the MAT to TMUA switch.

The format

The test takes two and a half hours in total. It is taken on a computer at a Pearson VUE test centre: you read the questions and choose your answers on screen, and do your working on materials the centre provides. You can't use a calculator or a dictionary.

What it covers

UAT-UK describes the content as that typically covered in higher-level GCSE Mathematics and AS-level Mathematics, and publishes a full specification. Paper 2 also draws on logic and proof: the language of mathematical statements, such as "if", "only if" and "necessary and sufficient", and the ability to judge whether an argument or proof is valid. UAT-UK publishes separate notes on logic and proof for this reason.

The mathematics itself is rarely the hard part. The difficulty comes from unfamiliar questions, the time limit and the absence of a calculator.

How it is scored

• Each question is worth one mark, and your score depends on how many you answer correctly.
• Wrong answers don't lose marks, so it is worth answering every question.
• You receive one overall score on a scale from 1.0 to 9.0, to one decimal place, which allows scores from different sittings to be compared.
• There is no pass mark. Each university decides how to use the score.

Some universities publish information about the scores of their applicants or offer holders. Treat unofficial "good score" figures with caution: they vary by course and year, and many are guesses.

When to sit it

There are two sittings for 2027 entry: 15 or 16 October 2026, and 8 January 2027. Most Oxford and Cambridge applicants must sit in October; some other universities accept January, so check your courses before you book. You can sit the TMUA only once per application cycle. Booking for October closes on 28 September 2026. Every date, and how to register, is in TMUA dates, registration and fees.

How universities use the result

Your score goes automatically to the universities on your UCAS application that use the TMUA, and they consider it alongside the rest of your application. Where the test is compulsory, applying without it can make your application invalid. Where it is recommended, a strong score can support your application. How much weight it carries varies by university and course.

The TMUA and other tests

• ESAT: the equivalent test for engineering and the sciences, run by UAT-UK. It is modular, and its mathematics modules overlap with TMUA content, but it doesn't have the TMUA's logic and proof paper.
• STEP: a much longer, written mathematics exam. Cambridge uses it in its offers for Mathematics, so it is sat in June, after offers are made, rather than to decide who is interviewed.
• MAT: Oxford's former mathematics test, last sat in October 2025 and replaced by the TMUA. See the MAT to TMUA switch.
• TARA: a test of academic reasoning skills that isn't specific to any subject, used by Oxford and UCL for some courses.

Preparing for the TMUA

Good preparation means knowing the content in the specification, getting used to the conditions (no calculator, multiple choice, a strict clock), and taking Paper 2's logic and proof seriously. How to prepare for the TMUA explains where to start and which official materials to use.