All guides

For schools

TMUA for Teachers and Careers Advisers: What Your School Needs to Know

A head of maths guide to the TMUA: which of your students need it, the deadlines your calendar must carry, why Paper 2 catches them out, and how to run prep without building a course.

Start Here Updated 11 Aug 2026 8 min read

Quick answer

The TMUA is a two-paper, calculator-free admissions test used by seven universities (Cambridge, Oxford, Imperial, the LSE, Warwick, Durham and UCL) for maths, computing and economics courses. Two things surprise most schools: students register themselves, not through the exams office, and Paper 2 is reasoning and proof, not A-level content. The date your calendar needs is the booking deadline, 28 September 2026 at 6pm, and the one thing your students need earliest is a timed paper. Free practice is at CrackTMUA; class access is on the schools page.

If you teach A-level maths or advise on university applications, the TMUA has probably arrived in your department without anyone giving you a briefing on it. This page is that briefing. It assumes you know maths and do not know this test, and it is organised around what a school actually has to do rather than what a candidate has to revise.

Two facts up front, because they cause most of the problems schools run into:

  • Students register themselves. Unlike some older admissions tests, this one is not booked by the exams office. A student who assumes the school is handling it will miss the deadline.
  • Only one attempt exists. The TMUA can be sat once per admissions cycle. There is no resit and no best-of-two.

Who in your school needs it

The requirement attaches to the course, not the student, so the only reliable trigger is a UCAS choice. Seven universities use the TMUA for 2027 entry: Cambridge, Oxford, Imperial, the LSE, Warwick, Durham and UCL. In broad terms it is used for maths, computer science and economics courses, but the detail varies a lot and it is worth knowing where:

  • Oxford is the significant recent change: it has replaced its own MAT with the TMUA for maths courses. If your department has been running MAT preparation for years, that material no longer maps onto what your Oxford applicants sit.
  • Warwick Maths accepts either the TMUA or STEP, so a student there has a genuine choice to make.
  • Durham strongly encourages rather than strictly requires it.
  • UCL uses it for Economics only. UCL Maths uses STEP and UCL Computer Science uses the TARA, which catches people out.

Equally worth knowing: Lancaster has dropped the TMUA, and Sheffield and Bath do not require it. Several widely-shared lists still include them, so if a student tells you their course needs it, check the university's own course page rather than a summary. Our which universities require the TMUA page keeps the course-level detail current.

In a typical sixth form this is a small group, often a handful of students, which is exactly why it tends to fall through the gaps: too few to justify a timetabled course, too important to leave to chance.

The dates your calendar needs

These are for the October 2026 sitting, which is 2027 entry. The two that belong in a school calendar are in bold.

WhatWhenWhose job
Booking opens20 July 2026Student
Access arrangements deadline14 September 2026, 6pmSchool and student
Bursary deadline21 September 2026, 6pmStudent
Booking closes28 September 2026, 6pmStudent
Test window12 to 16 October 2026Student
Results released16 November 2026Student

Watch out

The access-arrangements deadline is 14 September, a fortnight before booking closes, and it is the one schools are best placed to catch. A student with extra time in school exams does not automatically have it for the TMUA. That paperwork goes through UAT-UK ahead of booking, so a September conversation with your exams officer is too late if it happens at the end of the month.

There is a January sitting, 4 to 8 January 2027, but Cambridge and Oxford applicants must sit in October apart from narrow mature and foundation-year routes. In practice that means October for almost everyone you advise. The October versus January comparison covers the exceptions.

The test itself is sat on screen at a Pearson VUE centre, not in your exam hall, on a school day inside that window. Students choose their own slot, so it is worth asking them to tell you the date once booked, both so lessons are not missed silently and so nobody discovers a clash with a school mock in October.

What actually catches students out

The TMUA is not a harder A-level paper, and treating it as one is the most common preparation mistake. It is two papers of 75 minutes, 20 multiple-choice questions each, no calculator and no formula sheet, scored 1.0 to 9.0.

Paper 1, Applications of Mathematical Knowledge, is recognisable. It is pure and applied content your students have met, but stripped of calculators and compressed to under four minutes a question. Strong students lose marks here to arithmetic and to time, not to content.

Paper 2, Mathematical Reasoning, is the one nobody is ready for. It tests logic, proof, necessary and sufficient conditions, counterexamples, and the structure of an argument. Very little of it resembles an A-level question. Here is a real past-paper example of one of its most characteristic formats:

That question asks a student to find the first error in a chain of reasoning. Almost nothing in the A-level specification asks them to read someone else's argument critically, which is precisely why able mathematicians can be blindsided. The pattern we see repeatedly is a student who scores respectably on Paper 1 from the start, assumes Paper 2 will follow with practice, and discovers in late September that it has not moved.

Three things worth telling every candidate early:

  • Paper 2 needs different practice, not more practice. It is a distinct skill and it improves with exposure to its own question types. Our Paper 2 logic and proof guide is the fastest orientation.
  • Timed conditions from the start. Untimed practice hides the real constraint. The clock is the test.
  • Read the worked solution every time, including on questions they got right. The TMUA rewards the fastest valid method, and a correct answer reached slowly is a mark they will lose in October.

The context for scores: the average candidate lands around 4.5 on the 1.0 to 9.0 scale, and roughly 15% clear 6.5. Selective courses look for 6.5 to 7.0 or above. Those numbers describe a cohort that already has strong maths grades, so a student's first timed score will usually be lower than both of you expect. Set that expectation before the first mock rather than after it. The per-university detail is in what is a good TMUA score.

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

Running TMUA preparation without building a course

Very few departments have capacity to timetable this, and they mostly do not need to. What works, in rough order of return on your time:

  1. Own the deadlines, not the content. The highest-value thing a school does is make sure every candidate has registered by 28 September and has access arrangements sorted by 14 September. This costs a calendar entry and two emails and prevents the only genuinely unrecoverable failure.
  2. Get one timed paper done in early September. One full paper under exam conditions tells a student more than a term of casual practice, and it tells you which of them is actually at risk.
  3. Run a fortnightly clinic, not a course. A recurring half-hour where candidates bring the questions that beat them is enough for most groups, and it scales to however many students you have.
  4. Point them at a shared question set so they are not each assembling their own material from scratch, and so a clinic can discuss a question everyone has attempted.
  5. Teach Paper 2 explicitly if you teach anything. It is where your subject expertise adds the most, because it is the part students cannot self-diagnose.

What is usually not worth it: building bespoke resources, or rehearsing A-level content they already have. The official past papers exist, the specimen materials exist, and your time is better spent on the three or four students whose Paper 2 will not move.

Free practice you can point students at today

Full disclosure, since this is our site: CrackTMUA is our platform, so here is the honest version rather than a pitch.

A student can create a free account and get 10 practice questions a day, a full specimen mock, worked solutions on everything they attempt, and a short adaptive diagnostic that returns a starting band on the 1.0 to 9.0 scale. For a lot of students that is genuinely enough, particularly ones who mainly need structure and the official past papers organised. If you want to send a link and nothing else, send free TMUA resources or practice, and there is nothing further to do.

The diagnostic is the single most useful thing to set as a first task. It takes about ten minutes, produces a number, and gives you and the student the same starting point to talk about.

Individual Premium access is £49 once for 12 months, with no subscription. It unlocks all 690+ questions including 330+ we wrote in the exam's style, 26+ full timed mocks in a replica of the real Pearson VUE screen, spaced repetition, and a predicted band. Students buy that themselves, and plenty do not need to.

Class access for a department

If you have a group rather than an individual, there is a per-seat option. You tell us how many students and roughly when they sit, and we send a price. Classes pay less per student and the rate falls as the group grows: as a rough guide, a class of 20 works out around half the individual price per student, and a teacher account is included free.

That is the whole offer, and it is deliberately not a platform migration. There is nothing to install, no integration, and no per-student admin for you. Details and the enquiry form are on the schools page.

If you are weighing that against a tutor for one or two students, do I need a TMUA tutor is the honest comparison, including when a tutor genuinely is the right call.

A minimum viable plan for your department

If you do five things this year, do these:

  1. Identify your candidates from their UCAS choices, and check each course page rather than a list.
  2. Put 14 September and 28 September in the department calendar and chase every candidate against both.
  3. Set the free diagnostic as a first task, so you have a starting number for each of them.
  4. Book one full timed mock in early September and read the Paper 1 versus Paper 2 split.
  5. Run a fortnightly clinic through September, weighted toward Paper 2.

That is a few hours of your time across a term, and it covers the great majority of what a school can usefully do. The rest is the student's, and the test is designed on that assumption.

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

No. Candidates register themselves online through their own UAT-UK account and book a seat at a Pearson VUE test centre, unlike some older school-coordinated admissions tests. Schools do have a role in access arrangements, which go through UAT-UK by 14 September 2026, two weeks before booking closes on 28 September.

Keep reading

Universities & Requirements

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

Seven UK universities use the TMUA for 2027 entry: Cambridge, Oxford, Imperial, LSE, Warwick, Durham and UCL. Which courses need it, and which unis don't.

Updated 4 Jul 2026 5 min read
Syllabus & Topics Featured

TMUA Paper 2: Logic, Proof & Counterexamples

How to master TMUA Paper 2 reasoning: necessary vs sufficient, implications and converses, negation, counterexamples, proof techniques and spotting the flaw in a faulty proof.

Updated 7 Jul 2026 8 min read
Preparation & Study Plan

TMUA Diagnostic Test: Find Your Starting Level Free

How to work out your TMUA starting level before you begin revising, why a diagnostic beats guessing, and how to turn the result into a study plan. Free adaptive diagnostic, six questions.

Updated 3 Aug 2026 6 min read
Scoring & Results

What Is a Good TMUA Score? Averages & Targets

What is a good TMUA score? The average is around 4.5, only about 15% of candidates clear 6.5, and 6.5 to 7.0+ is competitive for top universities.

Updated 26 Jun 2026 8 min read
Dates & Logistics Featured

TMUA 2026 Registration: Dates, Deadline & How to Book

TMUA booking is open now. Register by 28 September 2026, 6pm BST; the test runs 12 to 16 October. Fees £78 UK / £133 international, plus a step-by-step booking guide.

Updated 8 Aug 2026 9 min read
Resources & Reviews

TMUA Tutors: Cost, Rates and Do You Actually Need One?

TMUA tutors typically advertise £30 to £70 an hour, specialists higher. What tutoring really costs, what you get for it, and whether you actually need one.

Updated 23 Jul 2026 12 min read