Overview

The Test of Mathematics for University Admission (TMUA) is a computer-based test which is delivered by UAT-UK. It assesses your mathematical thinking and reasoning skills. 

You need to take the TMUA if you are applying for entry to 2027 Imperial undergraduate courses in:

  • the Department of Computing, including joint Mathematics and Computer Science
  • the Department of Mathematics 
  • BSc Economics, Finance and Data Science offered in Imperial Business School

Test dates

There will be two test sittings for the ESAT for 2027 entry: one in October 2026 and one in January 2027. 

The test dates for 2027 entry will be announced shortly and published here.   

Candidates can book a time slot on any of the test days though please note that tests in China will be available on only one day per test sitting. They will take place on the second day listed above. For more details, please visit the UAT-UK website.

You should take the test just once for courses starting in 2026 entry as only your first test score will be used by selectors. 

Our admissions tests explained

Learn more about the ESAT and TMUA admissions tests, including tests format, how to book a test and key dates and deadlines.

About TMUA

Test format

The TMUA lasts 2 hours 30 minutes in total.

It is divided into two parts, each lasting 75 minutes and with 20 multiple choice questions:

  • Applications of Mathematical Knowledge assesses your ability to apply your knowledge of mathematics in new situations.
  • Mathematical Reasoning assesses your ability to deal with mathematical reasoning, and simple ideas from elementary logic.

How the test is marked

Your final scores are based on the number of correct answers you give. There is no pass or fail so you should aim to do the best you can.

You do not lose marks for wrong answers, so it’s worth attempting all questions. 

How to book the TMUA

Booking dates for the October test sitting will be published on this page as soon as they are available. 

Candidates can book a time slot on any of the test days, but though please note that tests in China will be available on only one day per test sitting. They will take place on the second day listed. For more details, please visit the UAT-UK website.

If you will be sitting the test for the first time this year then you will first need to create a UAT-UK account. You'll be able to do that using a link that will be available on the Registering for a Test page within the UAT-UK website at the start of June.
 
It is your responsibility to book and sit your test within the testing window.

Access arrangements

Access arrangements, such as rest breaks or extra time, are available if you have:

  • a learning difficulty
  • a physical or mental disability
  • a sensory impairment
  • other medical condition that might impact your ability to sit your test

When to apply for access arrangements

Applications for access arrangements open and close earlier than standard test bookings. We will update this page with full booking details as soon as they are available. 

You should wait for your access arrangements to be confirmed before booking the test in your chosen Pearson VUE test centre.

Find out more about applying for access arrangements.

TMUA for other universities

Universities using the TMUA for selection to selected courses in Mathematics, Economics and Computer Science – check the relevant course pages of each institution for details:

  • Imperial College London
  • University of Cambridge
  • Durham University
  • London School of Economics
  • University College London (UCL)
  • University of Oxford
  • Warwick University 

Take the TMUA only once per application cycle: You can choose to sit the test in either October or January. Only your first test score will be considered.

If you are applying to the University of Cambridge or the University of Oxford, you must take the test in October.

Bursary for UK candidates

UK candidates in financial need can apply for a bursary to book the TMUA free of charge.

Important: You must apply for a bursary and wait for confirmation that your application has been approved before booking your TMUA test.

Learn about eligibility criteria and how to apply for a bursary on the UAT-UK website.

Test fee

There is an entry fee for the TMUA.

Test fees are determined by the test centre location, not on your place of residence or nationality. For more information about test fees, please visit the UAT-UK website.

 

How to prepare for the TMUA

To prepare, we recommend that you revise relevant topics and familiarise yourself with the format of the test.

You can find more information about what to expect on your test day, including materials to help you prepare for the test, on the UAT-UK website.