ESAT practice papers and timed mocks.

Every paper is sat on screen, like the real test. The next sitting is 4 to 8 January 2027.

  • No card or account to start
  • 40 ESAT papers, 8 full mocks
  • 14-day refund if you’ve attempted fewer than 30 questions

ESAT Mathematics 1

1:28

Given that 4x = 8y + 1 and 9y = 3x − 5, what is the value of x?

Pick an option. The real paper is 27 questions in 40 minutes.

  • No card or account to start
  • 40 ESAT papers, 8 full mocks
  • 14-day refund if you’ve attempted fewer than 30 questions

ESAT is used for

  • ImperialMechanical Engineering
  • UCLElectronic and Electrical Engineering
  • ImperialPhysics
  • CambridgeEngineering
  • CambridgeNatural Sciences
  • OxfordPhysics
  • OxfordEngineering Science
  • CambridgeChemical Engineering and Biotechnology
  • CambridgeVeterinary Medicine

What you see during and after the paper.

Sat on screen, timed.A clock, a question navigator and a flag, like the test itself.
Marked as soon as you finish.Your estimated score, accuracy by topic and the time each question took.
Wrong answers explained.The review shows the worked solution and, where there is one, the mistake behind the option you chose.

Everything you get.

23 tools for the whole run-up to test day. The ones marked Intensive come with the Intensive plan only.

Mistake analysis

The review tells you which mistake you made.

Estimated score

A 1.0 to 9.0 estimate as soon as a paper is marked.

Topic accuracy

See which topics cost you marks.

Pace analytics

Time lost on wrong and blank questions.

Exam timing

The official question count and time limit.

Full sittings

Every module in order, back to back.

Worked solutions

The fastest no-calculator route for every question.

Score history

Every paper's percentage correct on one chart.

Guess tracking

Mark a guess and it returns as a replay.

Extra-time settings

25% or 50% extra time, to match your arrangements.

Median pace

Your typical time per question against the limit.

Answer-change analysis

Whether your changed answers helped or hurt.

Auto-submit

The paper submits itself when the clock reaches zero.

Paper re-sits

Intensive

The same paper's skills with new numbers and wording.

Targeted mocks

Intensive

A timed paper built from your weakest topics.

Ask about a question

Intensive

Ask why a step works until it makes sense.

Pace trainer

Intensive

Time limits that tighten towards exam pace.

Progress reports

Intensive

Your recent papers compared with earlier ones.

Writing Task feedback

Written feedback on your TARA essays.

Mistake replays

Questions like the ones you missed, with new numbers.

Spaced replays

Missed questions return days later to check the method stuck.

Next-step recommendations

Your dashboard suggests what to do next.

Question bank

Intensive

Practise one topic at a time, with solutions.

One payment, until your test.

No subscription. Yours until exam day.

Complete

 Every mock for ESAT, TMUA and TARA
  • All 40 ESAT papers, plus every TMUA and TARA paper
  • Worked solutions for every question
  • Mistake analysis and replays
  • Writing Task feedback for TARA

Intensive

 Complete, plus practice tools and help when stuck
  • Everything in Complete, plus
  • Question bankExtra original questions, sorted by topic.
  • Pace trainerTimed single questions from your slowest topics.
  • Ask about a question (fair use applies)Get any answered question explained.
  • Targeted mocksTimed papers from your weakest topics.
  • Paper re-sitsRe-sit a paper with new, similar questions.
  • New papers 14 days earlyBefore they open to other plans.
  • Progress reportsHow your accuracy, pace and topics change.

14-day refund if you’ve attempted fewer than 30 questions since purchase.

Or try a free paper first.

Buying for a school? See how school licences work.

Common questions.

Mathematics 1 is compulsory for everyone. You then choose two more to match your course: an Engineering applicant typically adds Mathematics 2 and Physics. Confirm the exact requirement on UAT-UK's course list and your university's admissions page before you book.

There are eight full ESAT mocks: 40 papers across all five modules, so each module you sit has eight timed papers. The practice banks add over 1,700 more ESAT questions, none of which appear in a mock. A plan also includes any paper added before its access ends.

It is Noetra's own calibration, not an official result. UAT-UK publishes no conversion tables, and the real conversion changes with every sitting depending on how hard the questions were, so treat it as a guide to your progress rather than a prediction. The free ESAT score calculator uses the same calibration.

Yes. You can sit a paper on a phone, and the timer, question navigator and review all work at phone size. The real test is taken on a computer at a test centre, so we recommend a laptop or desktop for full mocks.

No. Every question is original, written to the public ESAT specification. We replicate the format, the timing and the interface, not the actual content.

Every plan covers all five ESAT modules and every TMUA and TARA paper, so changing your modules or your course list costs nothing more. Plans are one-time payments, not subscriptions, and the refund policy is published in plain English.

Sit the free ESAT paper.

The timer starts as soon as you open the paper. Have a pen and rough paper ready, as you will on the day.

Sit the free Maths 1 paper