Checked 23 October 2026. Read on UAT-UK’s Test Results page, its Explanations of Results and its TMUA technical reports on 23 October 2026. UAT-UK can change its scaling; check its Test Results page for the current wording.
Since October 2024 your TMUA score is not a fixed conversion of your raw mark out of 40, and none of the UAT-UK pages and documents we read prints a table that turns one into the other. It counts your correct answers, uses the Rasch model to place every version of the test on one scale, then sets the scale so the median October candidate scores 4.5 and the 90th percentile scores 7.0. A raw mark only becomes a score once a whole sitting has been analysed. This guide walks through each step from UAT-UK’s own documents, shows the published scaling constants, and explains what the old 2017–2020 conversion tables did and did not show. ProSyllabus is an independent study site, not affiliated with UAT-UK or any university. UAT-UK’s pages and documents were read on 23 October 2026; the university pages and UAT-UK’s past-paper listing on 18 October 2026.
UAT-UK TMUA page, Test Results page and TMUA Technical Report 2025-26, read 23 October 2026.
From your answers to your score, step by step
| Step | What UAT-UK does | In its words |
|---|---|---|
| 1. Count | Counts your correct answers across Paper 1 and Paper 2. Wrong answers lose nothing. | “Your final scores are based on the number of correct answers you give.” |
| 2. Analyse | After the testing window closes, analyses every question with the Rasch item response model and builds a raw-score-to-ability table. | “TMUA is post-equated, which means that the equating is conducted at the end of the testing window.” |
| 3. Equate | Removes small differences in difficulty between the versions (forms) of the test, so every candidate sits on one ability scale. | “This places the performance of all candidates on a single ability scale, regardless of which form they took.” |
| 4. Scale | Turns ability into a 1.0–9.0 score with a straight line fixed on the October candidates (median 4.5, 90th percentile 7.0), capped at 1.0 and 9.0. Papers 1 and 2 are scaled together. | “For the TMUA, Papers 1 and 2 are equated and scaled together to produce a single overall score.” |
Quotations from UAT-UK’s TMUA page, Test Results page and TMUA Technical Report 2025-26, read 23 October 2026.
The published scaling constants
UAT-UK’s technical reports print the two ability values each scale was fixed on and the line that follows. Ability (theta) runs from about −3.0 to +3.0, centred on zero.
| Cycle | Fixed on | Ability at the median → 4.5 | Ability at the 90th percentile → 7.0 | Score = |
|---|---|---|---|---|
| 2025 entry | October 2024 | 0.0057 | 1.3947 | 4.4897 + 1.7998 × ability |
| 2026 entry | October 2025 | −0.0639 | 1.4634 | 4.6046 + 1.6369 × ability |
From Tables 2 and 3 of UAT-UK’s TMUA technical reports for 2024-25 and 2025-26, read 23 October 2026. The same constants were used for the January sitting of each cycle.
Our arithmetic on UAT-UK’s published constants, capped at 1.0 and 9.0 as UAT-UK does. Green: 2025 entry; blue: 2026 entry. The same ability scored slightly differently in the two cycles.
The line is steeper in 2024/25 (1.7998 per unit of ability) than in 2025/26 (1.6369). An ability of 0 scored 4.5 in the first cycle and 4.6 in the second; an ability of 2.0 scored 8.1 and 7.9. Those are our sums on the published numbers. The point they make: even with the ability known, the score depends on the cohort that fixed the scale.
The ability values in the table are not raw marks. The technical reports say that, following item analysis, the item difficulties are used to generate a raw score to theta (or ability) table, but the reports we read do not print it, so we found nothing that allows an official conversion of a raw mark into a score.
Check before you rely on advice
We found no official table that converts a TMUA raw mark into a score for the computer-based test.
Advice you may come across instead: any online converter or grade-boundary table that claims to turn a mark out of 40 into a 1–9 score (we have not reviewed any; this is a caution, not a survey).
We found no such table in UAT-UK’s pages and documents. UAT-UK says the scaling “has been revised for 2024/25, and scores should not be compared directly with TMUA scores from earlier years.” The official conversion tables we found are from the paper-based test (2017–2020, plus one for the 2016 practice papers), on a different scale. A converter built on them, or on guesses, would not rest on any official table for the current test.
What the old official tables showed (2017–2020, old scale)
From 2017 to 2020 Cambridge Assessment Admissions Testing printed a conversion with each year’s answer keys (headed “Grade conversion” in 2017–2019 and “Score conversions” in 2020): Paper 1, Paper 2 and overall (it also printed one for the 2016 practice papers). Here is the overall column at seven raw marks, exactly as printed. It is history: the 2019 Explanation of Results says its scale was designed so that approximately one third of candidates would score above 6.5.
| 2017 | 2018 | 2019 | 2020 | Raw mark out of 40 |
|---|---|---|---|---|
| 3.0 | 3.0 | 3.0 | 2.9 | 12 |
| 4.2 | 4.2 | 4.2 | 4.2 | 16 |
| 5.4 | 5.4 | 5.4 | 5.3 | 20 |
| 6.5 | 6.5 | 6.5 | 6.5 | 24 |
| 7.7 | 7.7 | 7.0 | 7.0 | 28 |
| 9.0 | 9.0 | 7.5 | 7.5 | 32 |
| 9.0 | 9.0 | 8.3 | 8.3 | 36 |
Overall conversions (grade conversions in 2017–2019, score conversions in 2020) from Cambridge Assessment Admissions Testing’s answer-key documents for November 2017, October 2018, 2019 and 2020 (archived copies, read 23 October 2026). Values are shown to one decimal place; the documents print whole numbers without “.0”.
Two things stand out. Up to a raw mark of about 24 the four years are almost identical. Above it they split: 32 out of 40 was the maximum 9.0 in 2017 and 2018 but 7.5 in 2019 and 2020. The same raw mark meant something different in different years, which shows why a conversion should not be assumed to hold for another sitting. The 2019 scale was designed to put about a third of candidates above 6.5; on today’s scale about one candidate in ten scores above 7.0.
Check before you rely on advice
UAT-UK’s scaling documents put the October 90th percentile at 7.0, not 9.0.
Advice you may come across instead: a paragraph on UAT-UK’s own Test Results page that maps the October 90th percentile “at 9.0”.
The same page says elsewhere that the median is fixed at 4.5 “and the 90th percentile fixed at 7.0”, the Explanation of Results says about 10% of candidates score above 7.0, and both technical reports print the 90th percentile at 7.0 (Table 2). The “9.0” in that one paragraph conflicts with all three, so the scaling documents are the ones to rely on.
Why UAT-UK’s practice tests give no score
UAT-UK’s specimen and sample tests on the Pearson site mark each answer right or wrong but give no score. UAT-UK: “This is intentional because the score scale in any particular year is based on the ability distribution of the cohort, with the median fixed at 4.5 and the 90th percentile fixed at 7.0.” It adds that “performance on a practice test will not necessarily be indicative of performance under exam conditions.”
What your mock mark can tell you
| What you can measure | Why it helps |
|---|---|
| Correct answers out of 20, per paper | The score is built from correct answers; more correct answers raise your raw mark and can improve your reported score |
| Marks lost by topic (logic, proof, algebra, calculus…) | Shows where an hour of revision buys the most |
| Questions unreached or guessed in the last minutes | Most candidates use the full time; finishing is a skill |
| Your mark on one mock against your next | The only honest comparison: same you, similar papers |
| A 1.0–9.0 score | UAT-UK’s specimen and sample tests award no score; we found no official conversion for mock raw marks in the documents we read |
Our suggestions. The last row is our conclusion from UAT-UK’s documents: we found no conversion in its documents, and its own practice tests give no score.
That is how our TMUA practice tests report a mock: correct answers by paper and by topic, with the working for every question, and no invented 1–9 score. Five questions are free to try. One of them:
Free question · Sequences and series · original, TMUA style
The 3rd term of an arithmetic sequence is 11 and the 7th term is 27. What is the sum of the first 10 terms?
- A 190
- B 210
- C 230
- D 250
- E 420
Show the worked solution
- From the 3rd term to the 7th term is four steps of the common difference d: 27 − 11 = 16, so d = 4.
- The 1st term is two steps before the 3rd: 11 − 2 × 4 = 3.
- The sum of the first 10 terms is (10/2)(2 × 3 + 9 × 4) = 5 × 42 = 210.
- Check: the 10th term is 3 + 9 × 4 = 39, and (3 + 39) × 10 / 2 = 210.
Answer: B, 210.
An original ProSyllabus question, not a UAT-UK question. It is one of the five free questions at the top of our TMUA practice tests; try all five free.
How precise the score is
| Sitting | Raw-score SEM (marks) | Scaled-score SEM | Scaled-score reliability |
|---|---|---|---|
| October 2024 | 2.61 to 2.72 | 0.67 to 0.68 | 0.82 to 0.87 |
| January 2025 | 2.59 to 2.67 | 0.68 to 0.70 | 0.76 to 0.85 |
| October 2025 | 2.58 to 2.71 | 0.62 to 0.64 | 0.85 to 0.87 |
| January 2026 | 2.61 to 2.69 | 0.62 | 0.82 to 0.87 |
From Tables 16 and 17 of UAT-UK’s TMUA technical reports for 2024-25 and 2025-26 (ranges across the test versions), read 23 October 2026.
The reports explain the standard error of measurement (SEM) this way: there is about a 68% chance that a candidate’s “true” score lies within one SEM of the score reported, and about 95% within two. Our rough reading, not the report’s: with an SEM near 0.6, two scores a few tenths apart say little about who is stronger, while two scores a point and a half apart say much more.
Results, appeals and re-using a score
| Question | UAT-UK’s answer |
|---|---|
| When are results released? | About four weeks after the test (Test Results page and FAQ; the TMUA page says about six). October 2026: 16 November 2026. January 2027: 8 February 2027. |
| Can I appeal my score? | “…we do not accept appeals of test scores.” |
| Who sees my score? | Only UCAS choices at universities that use the test, matched course by course, automatically. You cannot choose. |
| Can I resit to improve? | Not in the same cycle: each test can be sat once per admissions cycle. |
| Can I reuse last year’s score? | “No, you must sit the test in the cycle in which you apply.” |
From UAT-UK’s Test Results page, Test Day page, Key Dates page and FAQs, read 23 October 2026.
To read your score once you have it, use our TMUA percentile checker; for what each university publishes, see TMUA scores by university.
Frequently asked questions
How is the TMUA scored?
UAT-UK counts your correct answers, analyses all questions with the Rasch model after the window closes, equates the different versions of the test onto one scale, and turns that into one score from 1.0 to 9.0. Papers 1 and 2 are scaled together.
Is there a TMUA raw score to scaled score conversion table?
We found none for the computer-based test in UAT-UK’s pages and documents. The official conversion tables we found are from the paper-based test (2017 to 2020, plus the 2016 practice papers), on an older scale that UAT-UK says should not be compared with today’s.
How many marks is each TMUA question worth?
Each of the 40 questions is a single multiple-choice answer, and the score is based on the number of correct answers. Wrong answers lose nothing.
Why can’t I convert my practice paper mark into a TMUA score?
Because the score depends on how the whole October cohort performed: UAT-UK fixes the median at 4.5 and the 90th percentile at 7.0 each cycle. That is also why its own practice tests give no score.
What does equating mean for the TMUA?
Several versions of the test are used in each window. Equating removes small differences in difficulty between them, so a candidate is not helped or harmed by the version they sat.
Does Paper 1 or Paper 2 count more?
UAT-UK reports one overall score with Papers 1 and 2 equated and scaled together, and UAT-UK’s current sources report no separate paper scores or weights.
Can I appeal my TMUA score?
No. UAT-UK says it does not accept appeals of test scores. Problems on the day should be reported to a member of staff at the test centre or, at the latest, within 24 hours of your test; the FAQ asks you to follow up with Pearson VUE within 24 hours of your test, and the Test Day page says to email Pearson within three days of your test to request an investigation of something you reported at the test centre.
Are old TMUA conversion tables still useful?
Only as history. They show that the same raw mark scored differently from year to year even then: 32 out of 40 was 9.0 in 2017 and 2018 but 7.5 in 2019 and 2020.
Sources
- official — UAT-UK: Test Results (how the tests are scored), read 23 Oct 2026
- official — UAT-UK: TMUA Technical Report 2025-26 (scaling, Table 2-4, reliability, test timing)
- official — UAT-UK: TMUA Technical Report 2024-25 (scaling, Table 2-4, reliability)
- official — UAT-UK: TMUA Explanation of Results, October 2024 and January 2025 (“This scaling process has been revised for 2024/25”)
- official — UAT-UK: TMUA Explanation of Results, October 2025 and January 2026
- official — UAT-UK: TMUA (format, fees, sittings), read 23 Oct 2026
- official — UAT-UK: Test Day (test centre procedures and rules), read 23 Oct 2026
- official — UAT-UK: Key Dates for 2027 entry, read 23 Oct 2026
- official — UAT-UK: FAQs, read 23 Oct 2026
- official — Cambridge Assessment Admissions Testing: TMUA November 2017 answer keys and grade conversion (archived copy)
- official — Cambridge Assessment Admissions Testing: TMUA October 2018 answer keys and grade conversion (archived copy)
- official — Cambridge Assessment Admissions Testing: TMUA 2019 answer keys and grade conversion (archived copy)
- official — Cambridge Assessment Admissions Testing: TMUA 2020 answer keys and score conversions (archived copy)
- official — Cambridge Assessment Admissions Testing: TMUA Explanation of Results 2019 (“approximately one third of candidates will achieve overall scores higher than 6.5”, archived copy)
official = a document published by the conducting body. reported = a news or coaching site we could not check against an original. Where sources disagree this page says so rather than picking one.
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