Test of Mathematics for University Admissions (TMUA)

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. 

There will be two test sittings for the TMUA for 2026 entry:  

• Test sitting 1: Monday 13 and Tuesday 14 October 2025. You can book this test between Thursday 31 July 2025 and Monday 29 September 2025. 
• Test sitting 2: Thursday 8 and Friday 9 January 2026. You can book this test between Thursday 27 October 2025 and Friday 19 December 2025.

Candidates can book a time slot on any of these 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 each test. 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. 

• If you are planning to take the test in October 2025 (test sitting 1), you can book for the TMUA from Thursday 31 July 2025. Bookings close on Monday 29 September 2025 at 18.00 BST.
• If you are planning to take the test in January 2026 (test sitting 2), you can book for the TMUA from Thursday 27 October 2025. Bookings close on Friday 19 December 2025 at 18.00 BWT.

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 below. 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 this 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, 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. If you require access arrangements, be sure to apply within the specified dates below.

• Test sitting 1 (October 2025): applications for access arrangements for test sitting 1 open on Tuesday 24 June 2025 at 15.00 BST. The booking deadline is Monday 8 September 2025 at 18.00 BST.
• Test sitting 2 (January 2026): Applications for access arrangements for test sitting 2 open on Wednesday 1 October 2025 at 15.00 BST. The booking deadline is Monday 1 December 2025 at 18.00 BWT.

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.

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)
• 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.

Applying to the University of Cambridge?: You must take the test in October.

Applications for the UAT-UK bursary are now open.

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 apply for a bursary on the UAT-UK website.

There is an entry fee for the TMUA:

• £75 for candidates sitting the test in the UK and Republic of Ireland.
• £130 for candidates sitting the test anywhere else in the world.

Test fees are determined by the test centre location, not on your place of residence or nationality.

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.