Free · 15 questions · About 20 minutes

ESAT Diagnostic

Fifteen real ESAT questions, five each from Mathematics 1, Mathematics 2 and Physics. You get a score the moment you finish, a breakdown by module, and a link to the full worked solution for every question you got wrong.

Questions drawn from the mock papers published on this site · No calculator, no formula sheet · Scored in your browser

  • What it is: a 15-question sample of the ESAT, built from the same mock papers and worked solutions published free on this site.
  • What it tells you: which of the three modules is currently weakest, and which specific questions to go and read.
  • What it does not tell you: a predicted ESAT score. Fifteen questions cannot do that, and this page will not pretend otherwise.
  • Cost: nothing, and no account. Your email is asked for once, after the result, and the result is already on screen by then.
  • Next sitting: 12 to 16 October 2026. Cambridge and Oxford applicants must sit the October test.

Sit the diagnostic

[01] Before you start

  • 15 questions, five from each of Mathematics 1, Mathematics 2, Physics.
  • Roughly 20 minutes. The real test allows about 89 seconds a question. A timer runs, but nothing cuts you off.
  • No calculator, no formula sheet, exactly as on the day.
  • Every question is a real one from the mock papers published on this site, and every one you miss links straight to its worked solution.
  • Your score is yours. It is worked out in your browser and shown immediately. Sending it to yourself by email is optional and comes after the result.

How this is put together

[01] Real questions only

Nothing written for the quiz

Every one of the fifteen is lifted verbatim from a mock paper already published here with a full worked solution. Nothing was written to make the diagnostic look good, and nothing sits behind a signup.

[02] Balanced by module

Five, five and five

Mathematics 1 is compulsory for every candidate. Mathematics 2 and Physics are the two most commonly required options. Equal weight means the module comparison is a fair one.

[03] Timed, not gated

89 seconds is the number

The real test gives about 89 seconds per question. A clock runs so you can see your pace against that, but nothing cuts you off and running over does not affect the score.

Read how every solution on this site is checked before it is published, or go straight to the complete ESAT hub.

What a 15-question sample can and cannot do

Being straight about this matters more than the marketing would suggest, because acting on a bad signal costs a candidate weeks.

  • Module scores are usable. Five questions per module is a coarse instrument, but the gap between five out of five and one out of five is real information, and it is the fastest way to find out which module is quietly costing you the most.
  • Topic rows are a pointer, not a verdict. Most topic groups carry one or two questions. Treat a weak row as a suggestion about what to open first, not as evidence that the topic is a weakness.
  • Speed here is not speed on the day. You are sitting fifteen questions at a desk you chose, not twenty-seven under exam conditions in a test centre. For that, sit a full timed module.
  • There is no predicted grade. ESAT modules are scored 1.0 to 9.0 and the scaling is not published. Anyone converting fifteen questions into a predicted band is guessing.

Your answers and your email

  • Your answers stay in your browser. The diagnostic is scored on your own device and your answers are not sent anywhere unless you ask for the result by email.
  • Unfinished attempts are saved locally. If you close the tab part way through, your progress is kept in your browser's own storage on that device only, and you can pick up where you left off.
  • Email is optional and comes last. The score, the breakdown and every solution link are on screen before you are asked for anything.
  • If you do give it, the address is used to send the result and the ESAT preparation list, and for nothing else. See the privacy policy.
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