TMUA Score Conversion: How Marks Become a 1 to 9 Score

TMUA score conversion turns the number of questions you answer correctly, out of 40 across the two papers, into a single score on a scale from 1.0 to 9.0, reported to one decimal place. UAT-UK sets that scale for each cohort, fixing the median candidate at 4.5 and the 90th percentile at 7.0, so a given raw mark does not always convert to the same score. There is no pass mark, and universities read the score alongside the rest of the application.

How TMUA scoring works

Every TMUA question is worth one mark, there is no penalty for a wrong answer, and both papers count equally towards one overall score. UAT-UK then reports that result on a scale from 1 (low) to 9 (high), to one decimal place.

The scale is statistically equated, which means results from different test versions and sittings, including the October and January sittings, are reported on a common scale.

What a TMUA score means

Because the median and 90th percentile are fixed, a TMUA score tells you where you stand in the cohort more directly than a raw mark would. The two official anchor points give the reading below; positions between and beyond them can only be approximated, since UAT-UK publishes no other fixed points.

UAT-UK states that the tests are designed to separate highly capable applicants, including those with top grades at school, and that candidates should not expect to score as highly as they do in school exams. A score near the median is a normal result.

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Can you convert a past-paper mark into a TMUA score?

Not exactly. The archived TMUA papers on the UAT-UK website come with worked answers and an answer key but no conversion table, and the computer-based specimen and practice tests give feedback on each answer without a score. UAT-UK says this is deliberate: the scale depends on each year's cohort, so a fixed conversion for practice material would be misleading.

What you can do is track your raw mark out of 40 across papers sat under timed conditions. A rising raw mark across papers of similar difficulty is the clearest sign of progress, and the TMUA past papers guide sets out a schedule for using them.

Why third-party TMUA score converters disagree

Some websites offer converters built on older score tables or on their own users' results. They cannot be checked against official data for the current scale, and the paper-based tests were run by a different organisation, so older advice about "good" scores may not carry over to scores now. Treat any converted figure as a rough guide at best.

What is a good TMUA score?

A good TMUA score is one that strengthens your application at the universities you apply to, and most of them publish no cut-off. A score above the median of 4.5 is above average for the cohort, and 7.0 or more is in the top tenth.

University statements vary, so read each course page:

• Imperial considers ESAT and TMUA scores alongside the rest of the UCAS application when deciding on interviews and offers, says a high score does not guarantee a place and a low score does not mean rejection, and publishes historic score data by department and outcome on an interactive dashboard on its scores page.
• LSE requires the TMUA for BSc Economics and BSc Econometrics and Mathematical Economics, recommends it for several mathematics, statistics and data courses where a good score may make an application more competitive, and accepts only the first sitting in an admissions cycle.
• Warwick asks Mathematics applicants to sit the TMUA or STEP, unless they are eligible for a contextual offer, and its typical offer refers to a "strong score" in the TMUA.
• Cambridge and Oxford use the TMUA alongside interviews and other evidence; most applicants must sit the October sitting.

The TMUA guide lists the courses that require or recommend the test.

When do TMUA results come out?

TMUA results arrive in your UAT-UK account between four and six weeks after your sitting, on a release date that UAT-UK publishes on its deadlines page, and UAT-UK sends them automatically to the TMUA universities on your UCAS application. Applicants who sit in October, as most Oxford and Cambridge applicants must, therefore submit their UCAS application before they know their score. Exact dates are in the key facts.

How to raise your TMUA score

Raising a TMUA score is mostly about accuracy and speed on familiar mathematics, since the content is GCSE Higher and AS-level pure mathematics. Three habits make the biggest difference:

1. Know the specification completely, including the logic and proof topics for Paper 2, which most A-level courses do not teach directly. The TMUA specification guide sets them out with worked examples.
2. Practise without a calculator until arithmetic and algebra are quick and reliable, since no calculator is allowed.
3. Sit timed papers and review every error, logging whether each one came from a gap, a method, a misreading or a slip.

The TMUA preparation plan turns these into a week-by-week schedule.

Related guides

• TMUA past papers: every official paper and how to use them
• ESAT, TMUA and TARA dates
• Applying for maths at Cambridge
• Oxford mathematics: the application and the TMUA
• Cambridge economics application guide
• Super-curricular activities for economics
• University admissions tests in the UK

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Students preparing for the TMUA often want structured practice alongside their application, with someone checking timed work and planning the weeks before the test. Our tutors are graduates of Russell Group universities, including Oxford and Cambridge, and the tutor pool includes former heads of department and school leaders, experienced exam-board examiners, teachers from independent and boarding schools, and educational consultants with independent-school admissions experience.

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