Updated 10 November 2026
The TMUA in 2026–27: format, dates, fees and which universities use it
The Test of Mathematics for University Admission (TMUA) is a 2½-hour, no-calculator, multiple-choice test. From the 2026 admissions round it replaces Oxford's own Mathematics Admissions Test (MAT), so it is now the main maths admissions test for the UK's most selective courses.
At a glance
| Format | Two papers, 75 minutes each, taken one after the other. 20 multiple-choice questions per paper.1 |
| Calculator | Not allowed. There is no formula booklet, so you need to recall all formulae.2 |
| Scoring | One overall score on a 1.0–9.0 scale. No pass or fail, and wrong answers are not penalised, so answer every question.1 |
| Dates | Sitting 1: 12–16 October 2026 (all candidates for 2027 entry). Sitting 2: 4–8 January 2027, but not for Oxford or Cambridge applicants, apart from a few January-deadline routes.1 |
| Fee | £78 in the UK and Republic of Ireland; £133 elsewhere.1 |
| Where | On computer at a Pearson VUE test centre. Book early for the best choice of centre.1 |
| Candidates | 13,845 students sat the TMUA in 2024–25.4 |
Which universities use the TMUA?
Oxford requires it for Mathematics, Computer Science and their joint honours courses from the 2026 round, replacing the MAT.3 Cambridge and Imperial use it, and Durham, LSE and Warwick added it for 2025 entry.5 Requirements differ by course and change from year to year, so always check each university's own admissions page.
What's on each paper
Paper 1: Applications of Mathematical Knowledge
Tests whether you can apply maths in unfamiliar contexts. The content is almost all AS-level pure maths plus higher GCSE:2
- Algebra and functions: indices, surds, quadratics and the discriminant, inequalities, polynomials, the factor and remainder theorems
- Sequences and series, including geometric series to infinity and the binomial expansion
- Coordinate geometry of lines and circles, and the circle theorems
- Trigonometry, including radians and solving equations in an interval
- Exponentials and logarithms (no change-of-base questions)
- Differentiation and integration of powers of x, including the difference between an integral and an area
- Graphs and their transformations; GCSE number, ratio, geometry, statistics and probability
Paper 2: Mathematical Reasoning
Uses the same knowledge, but tests whether you can build and judge mathematical arguments:2
- Logic: if… then, only if, if and only if, converse and contrapositive
- Necessary and sufficient conditions
- For all, there exists, and how to negate statements that use them
- Proof by deduction, by cases and by contradiction; disproof by counterexample
- Putting the steps of a proof in order, and finding the error in a flawed proof
How to prepare
- Know the specification. Read the official content specification and tick off each topic.2
- Practise without a calculator from day one, including fractions, surds and estimating with π.
- Learn the logic vocabulary for Paper 2 until it is automatic.
- Work to time. You have 3¾ minutes a question. Practise moving on and coming back.
- Sit full mocks in the final six weeks and review every mistake.
Try 10 free TMUA-style questions
Sources
- TMUA test, UAT-UK
- TMUA content specification for October 2026 and January 2027, UAT-UK
- TMUA, Mathematical Institute, University of Oxford
- UAT-UK annual report 2024–25: candidate data
- More universities opt to use the TMUA, Pearson VUE (2024)