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TMUA: A Parent's Guide to the Test Your Child Is Sitting

Your child is sitting the TMUA. What it is, the deadlines that actually matter, how to tell if they are on track, what it costs and what is not worth paying for.

Start Here Updated 11 Aug 2026 9 min read

Quick answer

The TMUA is a two-and-a-half-hour, calculator-free admissions test in maths and mathematical reasoning, used by seven universities: Cambridge, Oxford, Imperial, the LSE, Warwick, Durham and UCL. It is scored 1.0 to 9.0, and your child can sit it only once per admissions cycle. For the October 2026 sitting the deadline that matters is 28 September 2026 at 6pm, and missing it cannot be appealed. The entry fee is £78 in the UK and Ireland. Practice is free at CrackTMUA, so the useful first step costs nothing.

If your son or daughter has told you they need to sit the TMUA, you have probably discovered that almost everything written about it is written for them, not for you. This guide is the other way round. It assumes you are not going to sit the test, do not need the syllabus, and mainly want to know four things: what it is, what the deadlines are, how to tell whether they are on track, and where your money is and is not worth spending.

One thing to settle straight away, because it changes how much slack there is in the plan: the TMUA can be taken only once per admissions cycle. There is no resit, no best-of-two, and no second window for anyone who has already sat it. That single fact is why the dates below matter more than they look.

What the TMUA is, in two minutes

The Test of Mathematics for University Admission is an entrance test used by UK universities to sort between applicants who all have strong maths grades. It is sat on a computer at a test centre, not at school, and it runs to two papers of 75 minutes each, 20 multiple-choice questions per paper, with no calculator and no formula sheet.

The two papers do genuinely different jobs, and the second one is the one that surprises people:

  • Paper 1, Applications of Mathematical Knowledge. Recognisably school maths, but under time pressure and without a calculator.
  • Paper 2, Mathematical Reasoning. Logic, proof and the structure of an argument. Questions ask which statement must be true, or where the first error in a proof appears. Very little of it looks like a normal A-level question.

Scores are reported on a scale from 1.0 to 9.0, not as a percentage or a grade. That scale is deliberately hard to read from outside, which is why "how did the mock go" is a less useful question than it sounds.

The most common misunderstanding worth clearing up now: this is not a test of how much maths your child knows. A student predicted A* in Maths and Further Maths can sit an untimed TMUA paper and do well, then lose badly to the clock and to Paper 2's reasoning style. That gap is what preparation closes, and it is why starting early matters more than working harder.

Which universities need it, and by when

The requirement follows the course, not the student. If a course lists the TMUA, they sit it. If none of their courses list it, they do not.

Seven universities use the TMUA for 2027 entry: Cambridge, Oxford, Imperial, the LSE, Warwick, Durham and UCL. They use it mostly for Maths, Computer Science and Economics, but the exact courses vary a lot, and Oxford only adopted it recently in place of its own MAT. Be careful with older advice online: Lancaster has dropped the test, and Sheffield and Bath do not require it, so any list that includes them is out of date. The only safe check is the university's own page for the exact course, and our guide to which universities require the TMUA has the course-by-course detail.

These are the dates for the October 2026 sitting, which is for entry in autumn 2027:

WhatWhen
Booking opens20 July 2026
Access arrangements deadline (extra time and similar)14 September 2026, 6pm
Bursary application deadline21 September 2026, 6pm
Booking closes28 September 2026, 6pm
Test window12 to 16 October 2026
Results released16 November 2026

Watch out

The 28 September deadline is the one to put in your own calendar. UAT-UK does not accept late bookings, and there is no appeal. Every year some applicants assume the school is handling registration and discover in October that nobody was. Registration is done by the candidate, through their own UAT-UK account, not by the school.

There is a second sitting in January 2027, and it is open to applicants to every university except Cambridge and Oxford, who require October apart from a couple of narrow mature and foundation-year routes. If Oxbridge is on the list at all, October is the only option. The October versus January comparison covers who the later window genuinely suits.

How to tell if they are on track

This is the question most parents actually want answered, and there is a better way to answer it than asking.

The test is scored on a 1.0 to 9.0 scale where the average candidate lands around 4.5, and roughly 15% clear 6.5. Selective courses tend to look for 6.5 to 7.0 or above. Those numbers sound bleak until you notice the population: everyone sitting the TMUA already has strong maths grades, so the average is an average of strong students. The detail, including per-university targets, is in what counts as a good TMUA score.

The practical answer is that a timed score under real conditions tells you far more than a conversation does. A free diagnostic test takes about ten minutes and produces a starting band, and a full timed mock gives a much firmer read. If they have done neither by early September, that is the thing to nudge, not the revision itself.

Here is a real Paper 2 question from a past paper, so you can see what the reasoning half of the test actually looks like:

Notice what it is not: there is nothing to calculate. That is the part that catches out strong mathematicians who prepare by doing more algebra.

Three signs of genuine trouble, as opposed to normal exam nerves:

  • They have not sat a full timed paper by mid-September. Untimed practice hides the actual problem, which is almost always the clock.
  • Paper 2 scores are much lower than Paper 1 and are not moving. This is the most common real weakness and it needs a different kind of practice, not more of the same.
  • They cannot say what they got wrong. Doing questions without reading worked solutions feels like work and teaches very little.

Free TMUA Survival Kit — every formula and the top traps on one page. Grab it before you go.

What it costs, and what is not worth paying for

The unavoidable cost is the entry fee: £78 for candidates in the UK and Republic of Ireland, and £133 elsewhere, paid when booking. If that is a barrier, UAT-UK runs a bursary scheme, and the application deadline for the October sitting is 21 September 2026, ahead of the booking deadline. It is worth checking eligibility rather than assuming.

Beyond that, you will find a market. Being straight about it, in rough order of how well the money is usually spent:

  • Past papers and worked solutions. The single highest-value thing, and much of it is free. Start at free TMUA resources.
  • A question bank with full solutions and timed mocks. This is where most of the useful preparation happens, and it is a modest one-off cost.
  • A private tutor, typically £30 to £70 an hour, so a ten-hour block runs into the hundreds. Worth it in a specific case: Paper 2 reasoning genuinely will not click, or your child needs external accountability. Not worth it as a default, and a tutor who has not taught the TMUA specifically is being paid to learn it. We go through this properly in do I need a TMUA tutor.
  • Intensive crash courses close to the test. Usually the weakest value. The test rewards familiarity built over weeks, not a weekend.

The honest summary: this is not an expensive exam to prepare for well, and spending more does not reliably buy a better score. Time started earlier does.

What CrackTMUA costs, plainly

Full disclosure, since you are reading this on our site: CrackTMUA is our platform, so here is the plain version rather than a pitch.

Free, with no card: 10 practice questions a day, a full specimen mock, worked solutions, and the diagnostic test that produces a starting band. For a student who mainly needs structure and past papers, the free tier is genuinely enough, and plenty of people use nothing else.

Premium is £49 once, covering 12 months. No subscription and nothing that renews. It unlocks all 690+ questions, including 330+ we wrote ourselves in the real exam's style, 26+ full timed mocks in a replica of the actual test screen, spaced repetition so fixed mistakes stay fixed, and a predicted band that updates as they practise.

For context, that is roughly one hour with a tutor. We would rather you started free and upgraded only if they run into the daily limit, which is the honest signal that they are using it seriously.

Helping without hovering

The most useful things you can do are unglamorous, and none of them involve maths.

Do the logistics. Registration, the test centre, photo ID, and the journey on the day are all adult admin, and they are genuinely helpful to take off a Year 13's plate. Getting the booking done the week it opens is worth more than any amount of encouragement in October.

Ask about process, not scores. "How did you do" invites a defensive number. "What kind of question is catching you out" invites an actual answer, and it is the question whose answer can change what they do next.

Protect the timed practice. A full paper needs 75 uninterrupted minutes. Knowing that a closed door means a mock in progress is a small thing that helps a lot.

Keep the stakes in proportion, out loud. The TMUA is one component of an application, universities read it alongside grades, the personal statement and often an interview, and a middling score is not a rejection. Students who believe one test decides everything revise worse, not better.

Do not become their tutor. If you last did this maths thirty years ago, working through a Paper 2 proof question together will usually cost you both an evening and some goodwill. Point them at a worked solution instead.

What to do this week

If you do nothing else, do these, in this order:

  1. Confirm the requirement. Check each course's own admissions page and be certain the test is actually needed.
  2. Check the booking is done, or diarise 28 September 2026 as a hard deadline for yourself and not only for them.
  3. Sort access arrangements now if they have extra time at school. That deadline is 14 September, two weeks earlier than booking, and it is the one most often missed.
  4. Check the bursary if the fee is difficult. Deadline 21 September.
  5. Suggest one timed paper. Not a revision plan, one paper, under exam conditions. That single data point tells you both more than a month of asking how it is going.

The run-up to a single-attempt test is stressful mostly because nobody knows where they stand. A booking that is definitely done and one honest timed score removes most of that, for both of you.

Practise the real TMUA, free

Drill 690+ questions, every official past paper plus 330+ original, trap-based ones, each with a full worked solution, then sit full mocks in a replica of the real exam screen. Spaced repetition and a predicted band included. No PDFs.

Start practising free

Get the free TMUA Survival Kit

Every must-know formula, the fastest method for each question type, and the 10 traps that catch people out, on one page. Plus the key 2026 dates as the exam nears. No spam, unsubscribe any time.

Frequently asked questions

It is an admissions test in maths and mathematical reasoning used by seven universities (Cambridge, Oxford, Imperial, the LSE, Warwick, Durham and UCL) to distinguish between applicants who all have strong maths grades. It is two papers of 75 minutes, multiple choice, with no calculator, scored from 1.0 to 9.0. The requirement comes from the course, so if their course lists it, they sit it.

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Which Universities Require the TMUA? All 7 (2027 Entry)

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TMUA 2026 Registration: Dates, Deadline & How to Book

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