TMUA preparation guide

How TMUA Scoring Works: From Rasch Scaling to University Data

Every results day brings the same question: is a 4.9 good or not? UAT-UK publishes no grade boundaries, and the target scores circulating online routinely mix up the pre- and post-2024 scales. To read your own number you first need to know how it was produced. This guide covers the official scoring machinery, the published distribution, the 2024 rescale, and the only university data currently on the record with a named source.
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TMUA Scores at a Glance
Score scale
One score from 1.0 to 9.0, to one decimal place; both papers scaled together
Distribution
Typical is about 4.5; roughly 10% score above 7.0
Boundaries and appeals
No pass mark, no boundaries, no appeals; one sitting per cycle
2024 rescale
By Durham's conversion, a 6.5 from 2023 equals 5.0 on the current scale
Results days
2027 entry: 16 Nov 2026 (October sitting), 8 Feb 2027 (January sitting)

Distribution figures from the UAT-UK Explanation of Results, October 2025; conversion and university data from Durham's and Warwick's published pages and Imperial's 'Admissions tests scores 2025' dashboard.

In short
  • The TMUA reports one overall score from 1.0 to 9.0: both papers are Rasch-equated and scaled together, with no per-paper marks and no per-paper thresholds.
  • Officially, typical candidates score around 4.5 and roughly 10% score above 7.0; the 9.0 percentile figure elsewhere on the website is a typo, so trust the Explanation of Results document.
  • UAT-UK sets no grade boundaries, accepts no appeals and allows only one sitting per admissions cycle; no 'safe score' claim has an official source.
  • The scale changed in 2024: by Durham's published conversion a 6.5 from 2023 equals 5.0 on the current scale, so check the year, scale and publisher before trusting any target.
  • Imperial's department means (Maths 7.6, JMC 7.5, Computing 6.2, Business School 5.3) are historic averages, not cut-offs; overseas applicants should read the higher Overseas column, while Durham and Warwick anchor their published guidance around 5.0.
I

Part 1 of 3

Sections 01 to 03

01

One test, one score: the 1.0 to 9.0 scale

Your TMUA results statement shows a single number: an overall score between 1.0 and 9.0, reported to one decimal place. Paper 1 and Paper 2 receive no separate scores; UAT-UK equates and scales the two papers together into one overall score. That sets the TMUA apart from the ESAT and TARA, its UAT-UK siblings, where each module is equated and reported separately.

Score range

1.0 to 9.0, one decimal place

Capped at 1.0 and 9.0 at the two ends

Per-paper scores

None reported

Universities never see paper-level performance

Question weighting

Equal for every question across both papers

What counts is all forty questions taken together

Wrong answers

No penalty

The official advice is simply to attempt everything

The direct consequence for candidates: there is no per-paper threshold, so the idea that a weak Paper 2 can 'fail' you on its own has no basis in the mechanism. One misconception is also worth clearing early: the 1 to 9 is not a percentage of questions answered correctly, nor a rebadged raw mark, but a statistically scaled score, with the caps set out in the official Explanation of Results document. The next section explains how it is actually produced.
02

Rasch and equating: from raw marks to a scaled score

The official description of scoring splits into two steps: count the correct answers, then apply statistical scaling. No two test versions can be written to exactly the same difficulty and no two sittings attract exactly the same field of candidates; the process below is how UAT-UK removes those differences.
01Step 1

Raw marks

Based solely on the number of correct answers, with no negative marking and equal weight across both papers, so every uncertain question is worth attempting.
02Step 2

Rasch model analysis

Raw marks are not converted directly into the 1 to 9 scale: response data first goes through the Rasch model, an item response theory model, which quantifies the difficulty differences between test versions and sittings.
03Step 3

Equating onto one scale

A process called equating then removes those differences, so scores from different test versions and sittings sit on one unified scale: a 6.0 from October and a 6.0 from January represent the same standard, which lets admissions teams compare applicants across sittings fairly.
For your preparation: UAT-UK publishes only the final scaled scores and the distribution, with no grade boundaries of any kind; and since equating adjusts for the actual difficulty of each test version, there is no fixed conversion between a practice-paper percentage and a scaled score, so projecting one from the other is guesswork. Use practice results to diagnose gaps and pacing problems, not to predict the number on your results statement.
03

The official distribution: typical is about 4.5, roughly 10% above 7.0

Every sitting comes with an official Explanation of Results (EoR) document from UAT-UK, the single most authoritative guide to reading your number; it also includes a histogram of the full cohort in half-point bands, so you can place your own result precisely. The October 2025 edition states the design intent in three numbers.

About 4.5

Where the scale is built to place a typical candidate

Roughly 10%

Share of candidates scoring above 7.0

1.0 and 9.0

The floor and ceiling of reported scores

Honesty requires flagging an error on the official website. On the test-results page, one paragraph fixes the median at 4.5 and the 90th percentile at 7.0, while a later paragraph on the same page puts the 90th percentile at 9.0. Both cannot be true, and the formally published EoR settles it: approximately 10% of candidates score above 7.0, and the 9.0 figure is a typo.
One further piece of official framing matters for morale. UAT-UK says outright that its tests are designed to be challenging in order to separate highly capable applicants, and that candidates used to top grades in school exams should not expect to score as highly here. Read through that lens, a 4.5 is not a disappointing 'half marks'; it is the typical result, and anything above 7.0 is a top-decile performance.
II

Part 2 of 3

Sections 04 to 06

04

No pass mark, no grade boundaries, no appeals

Pass mark

None

No pass or fail score exists for the TMUA

Grade boundaries

None provided

Each university uses scores its own way, alongside the rest of your application

Score appeals

Not accepted

Scoring is rigorously tested and quality-assured before, during and after every window

Sittings

Only once within an admissions cycle

No second sitting to fall back on in the same cycle

Taken together, the implications are clear. First, any claim online that a particular score 'guarantees' an outcome is not an official position, because no official threshold exists anywhere. Second, the number you produce on test day is final, with no re-mark to request, so the preparation phase is where the outcome is actually decided. Third, the only score information with a named, checkable source comes from the universities themselves, and only a minority of them publish anything at all. The next two sections cover everything currently on the record.
05

The 2024 rescale: old numbers do not carry over

In 2024 the TMUA's reported scale changed, and every historic score has to be read through that change. Durham University spells the conversion out on its entry-requirements page, which means target scores, admissions anecdotes and forum threads from 2023 or earlier do not transfer as they stand.
2023 (old scale)From 2024 (current scale)
Upper band6.55.0
Lower band4.53.2 to 3.5

Conversion as published on Durham University's website.

The classic trap is the widely repeated line that '6.5 or above is competitive'. That figure comes from the old scale and, by Durham's own conversion, corresponds to roughly 5.0 today; adopting it unconverted means quietly inflating your target by about a point and a half, which distorts both your preparation plan and your morale. The opposite mistake is just as easy to make: Imperial's mean of 7.6 for Mathematics offer-holders is a 2025-entry figure on the current scale, both real and current, so do not dismiss every demanding target as stale data.
Treat every number you encounter as unverified until you can answer three questions about it: which year was it earned, on which scale, and who published it. A number that survives all three checks belongs in your planning; one that fails any of them belongs in the bin.
06

Imperial's department data: historic means, not cut-offs

Imperial College London is currently the only university that publishes department-level score and outcome data, through a dashboard titled 'Admissions tests scores 2025' embedded in its undergraduate admissions pages. For 2025 entry, the mean TMUA scores of offer-holders were as follows.
Mean offer-holder score (all)Mean (Overseas)Mean (Home non-WP)Offer rate (Overseas)
Mathematics7.68.47.016.6%
Joint Mathematics and Computing7.57.97.412.0%
Computing6.26.56.216.6%
Business School5.35.94.811.1%

Home non-WP means Home applicants outside the widening participation category.

Two things matter when reading the table. First, if you are applying from outside the UK you count as Overseas, and the Overseas column is the one to benchmark against: in every department, Overseas offer-holders averaged higher scores than Home applicants, while Overseas offer rates were generally lower. Second, set the 7.6 against the official distribution: only about 10% of candidates nationally score above 7.0, so the average Mathematics offer-holder at Imperial sits inside the national top decile.
Imperial's own caveats should always travel with the data: this is historic information, score distributions and offer outcomes vary from year to year, and the figures should not be read as requirements for current or future cycles. A high score does not guarantee an offer, and a low one does not sink an application. These are averages, not cut-offs.
III

Part 3 of 3

Sections 07 to 09

07

What Durham and Warwick publish

Durham and Warwick publish no dashboards, but both have put usable statements on the record, each anchored around 5.0.
DurhamWarwick
TMUA requirementRecommended rather than compulsory, for its four mathematics courses: G100, G103, G111 and G114Every undergraduate mathematics applicant must sit either the TMUA or STEP
Scoring 5.0 or aboveAutomatically eligible to be considered for a reduced offer: A*AA with an A* in Maths or Further Maths, one grade below the standard A*A*A with A*A* in bothWarwick reports that most offers in the last admissions cycle went to applicants on 5.0 and above
Below 5.0Down to a yearly threshold set between 3.2 and 3.5, still treated as positive evidence of mathematical ability, with a good chance of the standard offerSome offers were still made after a holistic assessment of the overall profile
Put these two alongside Imperial and the picture sharpens: on one and the same scale, published figures range from Durham's 5.0 to Imperial Mathematics' 7.6. Neither is wrong and neither is stale; they simply describe two very differently contested destinations. Score targets only make sense when set per university and per course, never as a single 'what do I need on the TMUA' number.
08

Results day and delivery: automatic, course by course, no picking

You do not need to count weeks to know when results arrive: UAT-UK publishes the dates outright, and results appear in your UAT-UK account.
2026 – 2027Timeline
Nov 26
Dec 26
Jan 27
Feb 27
October sitting results
16 Nov 2026
Results day for the October sitting in the 2027 entry cycle, viewed in your UAT-UK account.
January sitting results
8 Feb 2027
Results day for the January sitting in the 2027 entry cycle, viewed in your UAT-UK account.
Hard deadline Event WindowThe official website disagrees with itself on the interval: the TMUA information page says results come approximately six weeks after the test, while the results page says approximately four. Ignore both and remember the dates.
Delivery to universities is fully automatic: scores are matched course by course against your UCAS application and sent to every institution on your list that requires the test, and candidates cannot choose which institutions see their score. Combine that with the one-sitting-per-cycle rule and the October-versus-January decision comes into focus: it is a choice of date, not a trial run, and the single number you produce will appear, unedited, in front of every relevant admissions team.
Cambridge and Oxford applicants generally have no choice at all: with narrow exceptions (mature-college applicants at Cambridge with a January deadline, and Oxford's Astrophoria Foundation Year), they must sit in October. Thinking these constraints through before you book is far more useful than agonising after results day.
09

Turning the numbers into a sensible target

Here is the whole article folded into a working method, in five steps.
01Step 1

Set targets per course, not per university

Check what each institution in your list actually publishes: Imperial offers department-level means, while Durham and Warwick have concrete statements anchored around 5.0. Cambridge and LSE have published no TMUA score data, and Oxford first uses the TMUA in October 2026, so no historic data for it can exist yet. Any target without a named source fails this step.
02Step 2

Applying from China means the Overseas column

When you use Imperial's data, benchmark against the Overseas means rather than the overall ones; in Mathematics the gap is 0.8 of a point.
03Step 3

Calibrate expectations against the official distribution

Typical candidates score around 4.5, above 7.0 is top-decile, and UAT-UK says openly that the test is designed to be hard. A practice-paper percentage well below your school-exam norm is the intended experience, not a crisis.
04Step 4

Use timed mocks for pacing and diagnosis, not prediction

UAT-UK sets no boundaries and equating adjusts scores for each version's difficulty, so a percentage cannot be turned into a scaled score; the value of timed practice lies in settling the rhythm of twenty questions in 75 minutes and classifying your errors.
05Step 5

Run every new number through the three-question check

Which year, which scale, who published it: that habit, more than any single statistic, is what keeps a TMUA plan honest.
FAQ

Frequently asked questions

What is the maximum TMUA score, and what counts as a high score?
Scores run from 1.0 to 9.0, to one decimal place, capped at 9.0. The official Explanation of Results states that typical candidates score around 4.5 and roughly 10% score above 7.0. There are no official boundaries, so 'high' only means anything relative to that distribution and to the data individual universities publish.
What TMUA score do I need for Cambridge or Oxford?
There is no official answer. UAT-UK publishes no grade boundaries, Cambridge has published no TMUA score data, and Oxford first uses the TMUA in October 2026, so historic data for it cannot exist. The only checkable reference points are the universities that do publish (Imperial's department means, Durham's and Warwick's statements around 5.0) and the official distribution, in which roughly 10% of candidates score above 7.0. Treat unsourced numbers online with suspicion.
Are the two TMUA papers scored separately? Can a weak Paper 2 sink me on its own?
No. UAT-UK equates and scales Papers 1 and 2 together into a single overall score from 1.0 to 9.0, unlike the ESAT and TARA, where modules are reported separately. Universities never see per-paper performance, so no per-paper threshold exists; what counts is your standard across all forty questions.
Does the TMUA deduct marks for wrong answers? Should I guess on questions I cannot do?
No. Your final score is based only on the number of correct answers, every question across both papers carries equal weight, and the official advice is to attempt all questions. Never leave a blank: even a pure guess costs you nothing.
When do TMUA results come out, and do I need to send them to universities myself?
UAT-UK publishes exact dates: for 2027 entry, the October sitting releases on 16 November 2026 and the January sitting on 8 February 2027, through your UAT-UK account. There is nothing to submit manually: scores are sent automatically to the institutions in your UCAS application that require the test, matched course by course, and you cannot choose which institutions see them.
Can I appeal my TMUA score or resit for a better one?
Neither. UAT-UK explicitly does not accept appeals against test scores, and you may sit only once within an admissions cycle, so there is no sitting twice and keeping the better result. A resit means waiting for the next cycle. Choose your sitting carefully and prepare to peak once.
Is the old advice that you need a TMUA score of 6.5 or above still accurate?
That figure predates the 2024 rescale. Durham states that a 6.5 from 2023 equates to a 5.0 from 2024 onwards, so the old advice corresponds to roughly 5.0 on the current scale. Genuine current-scale data reads: Durham treats 5.0 or above as automatically eligible for consideration for a reduced offer, most Warwick offers last cycle went to applicants on 5.0 and above, and Imperial Mathematics offer-holders averaged 7.6. Always check the year, the scale and the publisher before adopting any target.

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