How TMUA Scoring Works: From Rasch Scaling to University Data
- Papers
- 28
- Questions
- 826
- Free to try
- 2
- 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.
- 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.
Part 1 of 3
Sections 01 to 03
One test, one score: the 1.0 to 9.0 scale
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
Rasch and equating: from raw marks to a scaled score
Raw marks
Rasch model analysis
Equating onto one scale
The official distribution: typical is about 4.5, roughly 10% above 7.0
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
Part 2 of 3
Sections 04 to 06
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
The 2024 rescale: old numbers do not carry over
| 2023 (old scale) | From 2024 (current scale) | |
|---|---|---|
| Upper band | 6.5 | 5.0 |
| Lower band | 4.5 | 3.2 to 3.5 |
Conversion as published on Durham University's website.
Imperial's department data: historic means, not cut-offs
| Mean offer-holder score (all) | Mean (Overseas) | Mean (Home non-WP) | Offer rate (Overseas) | |
|---|---|---|---|---|
| Mathematics | 7.6 | 8.4 | 7.0 | 16.6% |
| Joint Mathematics and Computing | 7.5 | 7.9 | 7.4 | 12.0% |
| Computing | 6.2 | 6.5 | 6.2 | 16.6% |
| Business School | 5.3 | 5.9 | 4.8 | 11.1% |
Home non-WP means Home applicants outside the widening participation category.
Part 3 of 3
Sections 07 to 09
What Durham and Warwick publish
| Durham | Warwick | |
|---|---|---|
| TMUA requirement | Recommended rather than compulsory, for its four mathematics courses: G100, G103, G111 and G114 | Every undergraduate mathematics applicant must sit either the TMUA or STEP |
| Scoring 5.0 or above | Automatically 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 both | Warwick reports that most offers in the last admissions cycle went to applicants on 5.0 and above |
| Below 5.0 | Down 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 offer | Some offers were still made after a holistic assessment of the overall profile |
Results day and delivery: automatic, course by course, no picking
October sitting results16 Nov 2026
January sitting results8 Feb 2027
Turning the numbers into a sensible target
Set targets per course, not per university
Applying from China means the Overseas column
Calibrate expectations against the official distribution
Use timed mocks for pacing and diagnosis, not prediction
Run every new number through the three-question check
Frequently asked questions
What is the maximum TMUA score, and what counts as a high score?
What TMUA score do I need for Cambridge or Oxford?
Are the two TMUA papers scored separately? Can a weak Paper 2 sink me on its own?
Does the TMUA deduct marks for wrong answers? Should I guess on questions I cannot do?
When do TMUA results come out, and do I need to send them to universities myself?
Can I appeal my TMUA score or resit for a better one?
Is the old advice that you need a TMUA score of 6.5 or above still accurate?
Official sources
- UAT-UK test results page (scoring, scale and appeals policy)
- TMUA Explanation of Results, October 2025 (official score distribution)
- Imperial College London: understanding your ESAT and TMUA scores
- Durham University mathematics entry requirements (reduced offer and 2024 rescale)
- University of Warwick maths entrance exams page (TMUA/STEP requirement and score guidance)
Other TMUA preparation guides
- TMUA Paper 1: Applications of Mathematical Knowledge
- TMUA Paper 2: Mathematical Reasoning, from Syllabus to Strategy
- TMUA Logic and Proof: The Complete Paper 2 Reasoning Guide
- The TMUA Syllabus in Full: Section 1, Section 2 and Every Topic Boundary
- The TMUA revision plan: from registration to results
- TMUA time management: pacing, guessing and stamina across both papers
- TMUA Common Mistakes: Where Strong Candidates Lose Marks
- TMUA test day: from arriving at the centre to reading your score
- TMUA vs MAT: After the Switch
- TMUA vs ESAT: The Course Decides, Not You
- TMUA vs STEP: One Screens, One Seals the Offer
- TMUA Registration and Test Dates for 2027 Entry
- TMUA score statistics: where you actually sit
- TMUA sittings compared: October 2025 against January 2026
- TMUA overseas candidates: the official numbers, and where they stop
- TMUA candidate numbers: how big the 2026 cohort really was
Learn it as a lesson
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