Free ESAT guide, no signup, sources named and linked
ESAT vs TMUA: which one do you need?
Your exact university, course and entry year decide. ESAT serves selected engineering and science courses through subject modules. TMUA serves selected mathematics and related courses through two maths papers. A subject name alone is not enough.
The decision takes thirty seconds
Open the official page for every course on your UCAS list. Write the named test and, for ESAT, the named modules. If one choice says ESAT and another says TMUA, you may need both. There is no universal rule that one test cancels the other.
These tables reflect our 2027-entry official-source review, checked in August 2026. Requirements change. Use the table to route yourself and the live university course page as the final check before booking.
Cambridge, course by course
| Course or department | Test | Modules or note |
|---|---|---|
| Chemical Engineering and Biotechnology | ESAT | Mathematics 1, plus two from Biology, Chemistry, Physics and Mathematics 2 |
| Engineering | ESAT | Mathematics 1, Mathematics 2 and Physics |
| Natural Sciences | ESAT | Mathematics 1, plus two from Biology, Chemistry, Physics and Mathematics 2 |
| Veterinary Medicine | ESAT | Mathematics 1, plus two from Biology, Chemistry, Physics and Mathematics 2 |
| Computer Science | TMUA | TMUA is listed; Peterhouse and Trinity also list CSAT |
| Economics | TMUA | TMUA is listed |
| Mathematics | TMUA | TMUA is listed |
Imperial, course by course
| Course or department | Test | Modules or note |
|---|---|---|
| Aeronautics | ESAT | Mathematics 1, Mathematics 2, Physics |
| Chemical Engineering | ESAT | Mathematics 1, Mathematics 2, Chemistry |
| Civil and Environmental Engineering | ESAT | Mathematics 1, Mathematics 2, Physics |
| Dyson School of Design Engineering | ESAT | Mathematics 1, Mathematics 2 |
| Electrical and Electronic Engineering | ESAT | Mathematics 1, Mathematics 2, Physics |
| Life Sciences | ESAT | Mathematics 1, Chemistry, Biology |
| Mechanical Engineering | ESAT | Mathematics 1, Mathematics 2, Physics |
| Physics | ESAT | Mathematics 1, Mathematics 2, Physics |
| Business School | TMUA | Not an ESAT module choice |
| Computing | TMUA | Not an ESAT module choice |
| Mathematics | TMUA | Not an ESAT module choice |
The broader 2027 course router also lists ESAT for Oxford Engineering and UCL Electronic and Electrical Engineering, while listing TMUA for examples including Oxford Mathematics and Computer Science, and UCL Mathematics and Economics. Combined courses and departmental variations are exactly why the live page wins.
The formats are not cousins in matching outfits
| Feature | ESAT | TMUA |
|---|---|---|
| Structure | Five modules available; Mathematics 1 is compulsory, then the course sets the rest | Two papers: Applications of Mathematical Knowledge and Mathematical Reasoning |
| Unit of work | 27 questions in 40 minutes per module | 20 questions in 75 minutes per paper |
| Average budget | 88.9 seconds per question | 225 seconds per question |
| Content | Maths 1, Maths 2 and sciences, depending on course | Mathematics throughout |
| Score | Separate 1.0 to 9.0 module scores; no total | 1.0 to 9.0 scale for the test |
| Feel | Rapid recognition, compact application, approximation and option testing | Longer arguments, logic and sustained reasoning |
The time budgets explain the emotional difference. ESAT often rewards seeing the shortest valid route before finishing the longest one. TMUA gives more room, then spends it on argument, definitions and logic. Both punish passive formula recall.
Worked ESAT maths: recognise the invariant
Worked example Inverse square-root proportion without a calculator
Response time seconds is inversely proportional to the square root of power watts. When , . What power gives ?
Write the relationship in the form that exposes what stays constant:
Correct: use as the invariant. It avoids carrying an extra constant.
Trap: treating as inversely proportional to gives 15 W. The square root is the whole test.
This is ESAT Mathematics 1 content with ESAT pressure: accessible algebra, immediate translation and clean execution. TMUA may start with equally familiar algebra and use its extra time to ask what follows for every possible value, or which argument is sufficient.
If your choices require both
Do not split the week 50:50 by habit. Start with shared foundations, then weight the test with the earlier sitting or larger weakness.
- Shared: algebraic manipulation, ratios, graphs, proof habits and no-calculator arithmetic.
- ESAT emphasis: required sciences, 27-in-40 pacing, approximation, elimination and module traps.
- TMUA emphasis: Paper 2 logic, longer chains, necessary versus sufficient conditions and two-paper endurance.
Book from the official requirement, not from the test you would rather sit. A beautiful TMUA score cannot replace an ESAT requirement, and vice versa.
Sources
Cambridge science and engineering admission-test guidance: course and module requirements.
Imperial ESAT guidance: departments and module combinations.