ESAT practice papers and timed mocks.

Original full-length papers for all five modules, strictly timed at 40 minutes. Start free with Mathematics 1 from Mock 1.

No account needed for the free paper.

ESAT Mathematics 1

1:28

A coat costs £40. Its price is raised by 10%, then the new price is reduced by 10%. What is the final price?

Pick an option.

ESAT is used for

  • CambridgeEngineering
  • CambridgeNatural Sciences
  • ImperialEngineering
  • ImperialComputing
  • ImperialMathematics
  • UCLEngineering
  • CambridgeChemical Engineering
  • CambridgeComputer Science
  • ImperialPhysics
  • CambridgeVeterinary Medicine

Twenty-seven questions. Forty minutes. No calculator.

That leaves under ninety seconds a question. A method that would earn the mark with more time can still be the wrong choice under the clock.

Timed mocks build the judgement the exam rewards: the shorter route, and knowing when to flag and move on. Mathematics 1 is compulsory; you then add two modules for your course. All five are here.

Everything you get.

20+ carefully created tools for the whole run-up to test day. Some unlock on higher plans.

Full-length papers

Original questions for every module, written to the official specification.

The on-screen exam

The timer, the question navigator, flag and review, and the auto-submit at zero.

Full test sittings

Sit your whole test in one strict sitting, every module in order with no pauses, just like the real day.

Instant marking

Marked as soon as you submit, with an estimated 1.0–9.0 score.

Worked solutions

The fastest no-calculator route for every question, verified by computation.

Why, not just what

Every wrong option is built around a real mistake, and review shows the mistake in the option you chose.

Topic and pace analysis

Accuracy by topic and seconds per question, so a slow right answer never hides a gap.

Score trend

Estimated scores charted mock after mock, so you can watch the line move.

Lucky guesses caught

Tag any answer you guessed, and a fluked right answer still comes back as a replay.

Extra time built in

Sit with 25% or 50% extra time applied to every timed paper, matching your real arrangements.

Mistake replay

Wrong answers return as authored variations of the same skill until you answer them reliably.

Spaced resurfacing

Mistakes come back after a gap, so you prove you have learnt the fix, not just remembered it.

What to do next

Your dashboard weighs your attempts and queues the replay, topic or paper to do next.

Topic question bank

Extra original questions by topic, for when the full papers run out.

Pace trainer

Rapid-fire questions against the clock, aimed at the topics that usually take you longer.

Targeted mocks

Full timed papers assembled around your weak points, sat under exam conditions.

Fresh-numbers re-sits

Sit a paper again with every question swapped for an authored variant of the same skill.

Ask about a question

Follow-up help on anything you’ve attempted, fair use applies.

Writing Task feedback

Structured written feedback on TARA essays, with specific improvements for your next one.

Progress reports

Your improvement made clearly visible, paper after paper.

Yours until exam day.

One payment, no subscription. Prices show in your local currency.

CompleteUS$199All three tests, every module
  • Every paper for all three tests
  • Verified worked solutions
  • Mistake replay
  • Detailed performance analytics
  • TARA Writing Task feedback

Not sure yet? Start free with a diagnostic.

Sit a full paper under real conditions, marked instantly, and see your estimated score and weakest topics before you choose a plan. No card required.

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Practise like it's test day.

Mathematics 1 from Mock 1 is free. Sit it under the real 40-minute timer, then read the review while the mistakes are still fresh.

Sit a free paper
40 minutes 27 questions Flag & review

ESAT questions.

Mathematics 1 is compulsory for everyone. You then choose two further modules to match your course. An Engineering applicant typically adds Mathematics 2 and Physics. Always confirm the exact requirement on UAT-UK guidance and your university's admissions page.

No. Every question is original, written to the public ESAT specification. We replicate the format, the difficulty, the timing and the interface, never the actual content. That is a copyright line we don't cross.

No. UAT-UK publishes no conversion tables, so any 1.0–9.0 figure Noetra shows is its own calibration and is always labelled an estimate. It shows how you are progressing, not what your official result will be.

The full Mathematics 1 paper from Mock 1: 27 original questions, strictly timed, marked as soon as you finish, with no account needed to sit it. It is free.