Understanding the exam
What is the TMUA?
The Test of Mathematics for University Admission (TMUA) is a computer-based admissions test run by University Admissions Tests UK (UAT-UK) and delivered at Pearson VUE test centres worldwide. It is used for selection to some courses in mathematics, economics, and computer science at participating UK universities, including Cambridge, Oxford, Imperial, Durham, LSE, UCL, and Warwick. Check each course page: not every maths-related degree requires the TMUA.
The live test lasts 2 hours 30 minutes in total and consists of two papers taken one after the other. Each paper has 20 multiple-choice questions and 75 minutes. There is no scheduled break between the papers; UAT-UK states that the test clock does not pause between papers unless you have approved pause-the-clock access arrangements.
You receive one overall TMUA score on a scale from 1.0 to 9.0 (to one decimal place). There is no pass or fail mark. Scoring is based on correct answers only, no penalty for wrong answers, so you should attempt every question. Calculators and formula booklets are not permitted.
For 2027 university entry, UAT-UK runs two sittings: October 2026 and January 2027. You may sit the TMUA only once per admissions cycle; if you register for both, only your first score is used, and a second attempt is treated as misconduct. Most Cambridge and Oxford applicants must use the October sitting.
2h 30m
Two 75-minute papers
40 questions
Multiple choice, no penalty
Oct & Jan
2027 entry cycle
Paper 1: Applications of Mathematical Knowledge
- Duration
- 75 minutes
- Questions
- 20 multiple-choice questions
Assesses how you apply mathematics in unfamiliar contexts. Mathematical content comes from Section 1 of the official specification, largely GCSE Higher Level and AS-level pure mathematics topics.
Paper 2: Mathematical Reasoning
- Duration
- 75 minutes
- Questions
- 20 multiple-choice questions
Assesses constructing and analysing mathematical arguments, including simple ideas from elementary logic. Requires Section 1 and Section 2 of the specification; UAT-UK publishes separate Notes on Logic and Proof for Paper 2.
On test day you work at a Pearson centre on a computer with rough-work materials provided. Food, drink, calculators, and personal items stay outside the test room unless approved under access arrangements. Results are released to your UAT-UK account about six weeks after your sitting and are sent automatically to TMUA universities on your UCAS application.
2027 entry, sittings & booking windows
These dates apply to the 2027 university entry cycle. UAT-UK may update deadlines, always confirm on the official deadlines page before you book.
- October sitting
- 12–16 October 2026 in most countries. In China, Hong Kong, and Macau, TMUA runs 15–16 October 2026.
- January sitting
- 4–8 January 2027 in most countries. In China, Hong Kong, and Macau, TMUA runs 8 January 2027. Not open to most Cambridge or Oxford applicants.
- UAT-UK account
- Create your account from 1 June 2026 (required before booking).
- October booking
- Opens 20 July 2026, closes 28 September 2026 (UK time).
- January booking
- Opens 26 October 2026, closes 21 December 2026 (UK time).
Official preparation & registration links
- TMUA overview open_in_newFormat, scoring, fees, and which universities use the test.
- Key dates & deadlines open_in_newBooking windows, results release dates, and access-arrangement deadlines.
- Prepare, specification & notes open_in_newContent specification, Notes on Mathematics, Notes on Logic and Proof, and links to specimen tests.
- Pearson specimen & practice tests open_in_newFree practice in the same Pearson test player used on test day (desktop only).
- Historic past papers (2016–2023) open_in_newPDF papers with worked answers. UAT-UK states content and question style are unchanged for the computer-based test.
- Test day information open_in_newPhoto ID, arrival time, test-centre rules, and break policy.
Most students preparing for the TMUA do not need more random papers, they need a clear path, honest feedback, and questions that match how the exam actually tests reasoning under time pressure.
Syllabus & skills
What the exam tests
UAT-UK bases the TMUA on mathematics you are likely to have met at school: Section 1 of the specification is largely GCSE Higher Level and AS-level pure mathematics (algebra, coordinate geometry, sequences and series, trigonometry, and related topics). Section 2, tested in Paper 2 only, adds mathematical reasoning and elementary logic.
Harder items often combine ideas across topics or ask you to justify why an argument works, not just compute an answer. That integrated thinking is what makes sustained TMUA practice worthwhile beyond single-topic revision.
- Algebra & functions
- Sequences & series
- Coordinate geometry
- Trigonometry
- Logic & proof
- Integrated reasoning
Your prep stack
Two sources, one plan
Strong TMUA preparation draws on official materials and structured practice. They do different jobs, and you need both.
Official · UAT-UK
Past papers & exam authority
Official sources, published by UAT-UK, cover registration, exam dates, syllabus authority, and historic past papers with worked answers. Download these for timed sittings and honest self-assessment.
Browse official past papers open_in_newExamAlly
Structured daily practice
ExamAlly is an independent practice platform: topic drills, TMUA Style Questions, timed speed sets, Flashcards for spaced revision, and preparation insights on your attempts. Use it for structured work between official papers, building skills, closing gaps, and reviewing every attempt properly.
Explore practice modes arrow_forwardOn ExamAlly
The preparation path on ExamAlly
Work through the modes in a deliberate order. Each step builds on the last. Move on when the current one feels solid, not because something external says you should.
Start with topic practice across the syllabus: algebra, sequences, geometry, calculus, logic, and problem solving. Once fundamentals feel steady, shift toward TMUA Style Questions, problems that bridge topics so you choose methods, not only execute one technique.
When accuracy is reasonable, add speed mode to train pacing under pressure. Accuracy first, then speed. Use Flashcards to revisit weak questions between sessions, then sit official past papers under timed conditions to put timing, stamina, and syllabus-wide reasoning together.
Step 1 of 4
01Topic practice
Build confidence syllabus area by syllabus area with focused questions and immediate review.
Start topic practice
Step 2 of 4
02TMUA Style Questions
Practise integrated reasoning, choosing methods when a question does not announce its topic.
Start TMUA Style Questions
Step 3 of 4
03Speed mode
Short timed sets to build pace without sacrificing the careful thinking the TMUA rewards.
Start speed mode
Step 4 of 4
04Flashcards
Save weak questions from practice into decks and revisit them with spaced repetition until they stick.
Review with Flashcards
New here? Try Sample Practice , open-access TMUA questions with full worked solutions, no account required.
Between paper sittings
Keep weak questions in rotation
After a practice session or official past paper, the mistakes that matter most are the ones you forget by next week. Flashcards turn those into a short daily queue.
- Step 1
Spot gaps
Preparation Insights flags topics where accuracy is slipping.
- Step 2
Save the question
Add weak items to a deck, or let Insights suggest recent wrong answers.
- Step 3
Clear your due queue
Ten to fifteen minutes between heavier study blocks is enough to stay ahead.
Your revision queue
Open Flashcards Save weak questions from practice and clear your due queue in ten to fifteen minutes.Free Topic Practice includes up to 50 saved cards.
Rhythm & review
Using ExamAlly and official past papers together
There is no single timetable that suits everyone. What matters is the rhythm: structured practice on ExamAlly, periodic official papers to test yourself for real, and honest review every time.
Use ExamAlly for targeted work between paper sittings, weak topics flagged by preparation insights, integrated TMUA Style Questions, pacing drills. When you sit an official past paper, simulate exam conditions properly. Mark honestly, then spend at least as long reviewing mistakes as you spent sitting the paper.
On ExamAlly, the worked solution is the product, not the score. Read it even when you got the question right, especially if you got it right by luck or brute force. Preparation insights show accuracy by topic and suggest what to practise next; use them to choose your next session rather than to chase a number alone.
After every attempt
Review that builds understanding
ExamAlly does not stop at the correct letter. Every question includes a worked solution with clear steps and key learnings, not just which option was right.
Once you have a free account, preparation insights track how you are doing by topic over time. On Free Topic Practice, insights cover your topic work and TMUA Style & Speed sample attempts. Premium unlocks full TMUA Style & Speed banks and full-scope analytics when you need deeper volume closer to the exam.
Pick your entry point
Where to begin
You do not need everything on day one. Browse Sample Practice to try open-access TMUA questions with full worked solutions, no account required. When you are ready for saved progress across topic practice and TMUA Style & Speed samples, create a free account. Upgrade to Premium when you need full TMUA Style & Speed banks and full preparation insights.
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