What is the difference between the TMUA and the ESAT?

The TMUA is the Test of Mathematics for University Admission, and the ESAT is the Engineering and Science Admissions Test. TMUA candidates sit Paper 1 — Applications of Mathematical Knowledge and Paper 2 — Mathematical Reasoning. ESAT candidates sit 2 to 3 modules chosen from Maths 1, Maths 2, Biology, Chemistry and Physics, matched to their course.

Do I sit the TMUA or the ESAT?

Your course decides. At Cambridge, Oxford, Imperial and UCL both tests are in use, so check your specific course rather than the university. Sitting the wrong one does not count towards your application.

Can I sit both the TMUA and the ESAT?

Yes, if your course choices require both. They run in the same windows, so book early: the October window is 12 to 16 October 2026, and you book each test separately through UAT-UK / Pearson VUE.

Is the ESAT harder than the TMUA?

Both are reported on the same 1.0 to 9.0 scale, but the two scores are not interchangeable: each is scored against the candidates who sat that particular test, and no conversion between them is published. What matters for your application is which one your course requires.

TMUA vs ESAT: which one do you sit?

The TMUA and the ESAT are both admissions tests set by UAT-UK / Pearson VUE, sat at the same test centres in the same booking windows. Your course decides which one you sit.

The short answer

Look up your course, not your university. Cambridge, Oxford, Imperial and UCL use both tests, so the same offer holder can sit either one depending on what they applied for.

Which courses take which test

Courses that take the TMUA and courses that take the ESAT, by university
University	TMUA courses	ESAT courses
Cambridge	Computer Science, Economics, Mathematics	Engineering, Chemical Engineering and Biotechnology, Natural Sciences, Veterinary Medicine
Oxford	Mathematics, Mathematics and Statistics, Mathematics and Philosophy, Mathematics and Computer Science, Computer Science, Computer Science and Philosophy	Physics, Engineering Science, Physics and Philosophy
Imperial	Computing, Mathematics, Mathematics and Computer Science, Economics, Finance and Data Science	Aeronautics, Chemical Engineering, Civil and Environmental Engineering, Design Engineering, Electrical and Electronic Engineering, Mechanical Engineering, Physics
UCL	Economics (BSc Econ), Economics with a Year Abroad	Electronic and Electrical Engineering (BEng, H600), Electronic and Electrical Engineering (MEng, H601)

Course lists change between admissions cycles, so confirm yours on the university's own page before you register. The ESAT columns link through to esat.fyi, which covers that test in the same detail this site covers the TMUA.

The TMUA and the ESAT, side by side

	TMUA	ESAT
Full name	Test of Mathematics for University Admission	Engineering and Science Admissions Test
What you sit	Paper 1 and Paper 2	2 to 3 modules from Maths 1, Maths 2, Biology, Chemistry and Physics, matched to your course
Used by	Cambridge, Oxford, Imperial, Warwick, Durham, LSE and UCL	Cambridge, Imperial, UCL and Oxford
Set by	UAT-UK / Pearson VUE	UAT-UK / Pearson VUE

What the two have in common

Both tests are set and run by UAT-UK / Pearson VUE, which means the same booking system, the same test centres and the same identification rules. The October window is 12 to 16 October 2026 for both, and registration closes well before it. That deadline is the one people actually miss. If your course choices span both tests, you sit both, and you book them separately inside the same window. Plan for that early rather than discovering it in September.

Where to start

If it is the TMUA you need, what the TMUA looks like covers the format question by question, the universities page sets out who requires it, and past papers can be sat to the real clock with a worked solution for every question.

If it is the ESAT, the same material lives on esat.fyi: the ESAT format, which universities require it, ESAT past papers and its guides.

TMUA and ESAT: frequently asked questions

What is the difference between the TMUA and the ESAT?: The TMUA is the Test of Mathematics for University Admission, and the ESAT is the Engineering and Science Admissions Test. TMUA candidates sit Paper 1 — Applications of Mathematical Knowledge and Paper 2 — Mathematical Reasoning. ESAT candidates sit 2 to 3 modules chosen from Maths 1, Maths 2, Biology, Chemistry and Physics, matched to their course.
Do I sit the TMUA or the ESAT?: Your course decides. At Cambridge, Oxford, Imperial and UCL both tests are in use, so check your specific course rather than the university. Sitting the wrong one does not count towards your application.
Can I sit both the TMUA and the ESAT?: Yes, if your course choices require both. They run in the same windows, so book early: the October window is 12 to 16 October 2026, and you book each test separately through UAT-UK / Pearson VUE.
Is the ESAT harder than the TMUA?: Both are reported on the same 1.0 to 9.0 scale, but the two scores are not interchangeable: each is scored against the candidates who sat that particular test, and no conversion between them is published. What matters for your application is which one your course requires.