Key points

  • Most Cambridge and Oxford applicants must sit in October, so the January TMUA is mainly for applicants to universities such as Imperial, LSE, Warwick and Durham.
  • The TMUA is two 75-minute papers of 20 questions, taken one after the other, with no calculator and no formula booklet.
  • Eleven weeks from late October leaves time to sit each paper early, work on Paper 1 content and Paper 2 logic, and sit both papers together twice.

Who sits the TMUA in January?

The January TMUA is mainly for applicants to universities other than Cambridge and Oxford, such as Imperial, LSE, Warwick and Durham. UAT-UK says most Cambridge and Oxford applicants must sit in October, while applicants elsewhere can usually choose either sitting, and there's no advantage to either one.

The TMUA (Test of Mathematics for University Admission) is a computer-based maths test in two 75-minute papers, taken one after the other. Each paper has 20 multiple-choice questions. Paper 1 tests how you apply mathematical knowledge, and Paper 2 tests how well you understand and build mathematical arguments.

On UAT-UK's course list for 2027 entry, courses at these universities that use the TMUA include Imperial's Computing and Mathematics, LSE's Economics and its Econometrics and Mathematical Economics, Warwick's Mathematics, Computer Science, Data Science, Economics and MORSE (Mathematics, Operational Research, Statistics and Economics), and Durham's Mathematics.

Some of these recommend the TMUA without requiring it: Durham, and Warwick's Data Science, Economics and MORSE. Check each course page for what yours asks.

Who has to sit in October instead?

Most Cambridge and Oxford applicants must take the October sitting, and that includes TMUA courses such as Cambridge Mathematics and Oxford Computer Science. The exceptions are narrow: Cambridge mature applicants applying to a mature college with a January deadline, and applicants to Oxford's Astrophoria Foundation Year, who may use either sitting.

You can sit the TMUA once in an admissions cycle. If you sat it in October, January isn't a second attempt.

When is the January 2027 TMUA and how do you book?

The January sitting is from 4 January 2027 to 8 January 2027. Booking opens on 26 October 2026 and closes on 21 December 2026.

Booking has two stages. First you create a UAT-UK account, then you book a date, time and test centre through Pearson's booking system.

If you need a bursary or access arrangements, apply first and wait for the decision before you book. Both have deadlines earlier than the booking deadline, and UAT-UK can't refund a fee you paid before your bursary was confirmed. The exact dates are on UAT-UK's deadlines page.

What does each TMUA paper test?

Both papers draw on the same maths. Part 1 of the specification is almost all AS level pure maths, such as the discriminant of a quadratic, logarithms, differentiation and integration. Part 2 is almost all Higher Level GCSE maths. There's no formula booklet, so you need to recall every formula you use.

Paper 2 adds logic and proof. You'll meet statements like 'if A then B' and 'A only if B', their converse and contrapositive, the words necessary and sufficient, and phrases like 'for all' and 'there exists'. You may need to follow a proof, put the steps of one in order, or find the error in one that's wrong.

75 minutes for 20 questions works out at three minutes 45 seconds a question. That's more time than the ESAT gives you, but a hard question can still take ten minutes if you let it.

Weeks one to three: the documents and your first papers

Week one: read the specification and UAT-UK's Notes on Mathematics and Notes on Logic and Proof. Mark each topic secure, rusty or not yet taught.

Week two: book your test once booking opens. Then sit a full Paper 1 under real conditions: 75 minutes, no calculator, no pausing. When you mark it, note how long each question took, which ones you flagged and which right answers were guesses.

Week three: sit a full Paper 2 the same way. Then sort the mistakes from both papers into groups: things you didn't know, methods that were too slow, conditions you missed, and statements you misread, such as answering the converse of what was asked.

Weeks four to seven: Paper 1 gaps and Paper 2 wording

Weeks four to six: for Paper 1, give most sessions to one topic you marked rusty or got wrong. A topic you haven't been taught needs a proper lesson first. After each question, look for a second way to answer it, such as substituting a value, sketching a graph or testing the options, and check the options before you start working.

For Paper 2, practise until the logic words feel ordinary. Rewrite each statement in plain English, then test it with small cases: zero, one, a negative number, two equal values. Remember that 'if A then B' doesn't mean 'if B then A'.

Once a week, do a short timed set that mixes topics. In week seven, go back to full 75-minute papers and check where you are at about 25 and 50 minutes. Around questions seven and fourteen is a starting point; your own papers will show you what suits you. If a question isn't going anywhere, pick the most likely answer, flag it and move on. Wrong answers don't lose marks, so never leave a blank.

Weeks eight to ten: both papers together

In week eight, sit Paper 1 and Paper 2 one after the other, as in the real test. If the second paper had more misread conditions than the first, tiredness may be the reason.

Week nine: fix the few things that sitting showed, and use an official past paper from UAT-UK's archive. UAT-UK says the content and question style haven't changed since the TMUA moved to computer. Check your booking is confirmed well before booking closes on 21 December 2026.

Week ten falls over Christmas. Plan around the days you'll really work, fit in a second two-paper sitting if you can, and keep the other sessions short.

Week eleven: the days before the sitting

Don't start new topics now. Go back over your repeated mistakes and keep doing short timed sets.

Try the Pearson sample test on a desktop computer so the software isn't new on the day. Read UAT-UK's test-day guidance and your booking confirmation, check the photo ID rules and plan your route to the test centre.

UAT-UK reports one overall TMUA score on a 1.0 to 9.0 scale, and there's no pass or fail. Noetra's TMUA mocks are original papers, never real past-paper questions, and any score they give is Noetra's own estimate, not an official result.

Questions students ask

Can I sit the TMUA in January if I'm applying to Oxford or Cambridge?
Usually not. Most Cambridge and Oxford applicants must sit in October. The exceptions are Cambridge mature applicants applying to a mature college with a January deadline and applicants to Oxford's Astrophoria Foundation Year.
Is the January TMUA different from the October one?
UAT-UK says there's no advantage to either sitting.
Can I sit the TMUA in both October and January?
No. You can sit the TMUA once in an admissions cycle.
Can I use a calculator or a formula sheet in the TMUA?
No. Calculators aren't allowed and there's no formula booklet, so you need to know every formula you use.
When does booking close for the January TMUA?
Booking closes on 21 December 2026. Bursary and access-arrangement deadlines are earlier, so check UAT-UK's deadlines page if you need either.

Official sources

Current details were checked against these primary sources on the date shown above.