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:  

• Monday 13 and Tuesday 14 October 2025
• Thursday 8 and Friday 9 January 2026

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 will be sitting the test for the first time this year then you will first need to create a UAT-UK account with Pearson VUE. 
 
You'll be able to do that using a link that will be available on this page within the UAT-UK website in 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

You should let UAT-UK about your requirements at least 10 working days before you intend to book your test.

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.

The TMUA is currently used by Imperial College London, the University of Cambridge and a number of other UK universities.

Your results will automatically be sent to any TMUA universities in your UCAS application so you should only sit the test once.

If you are applying to Cambridge, then you must sit the TMUA in October to be considered.

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.

Bursary for UK candidates

UK candidates in financial need can apply for a bursary voucher to book the TMUA free of charge. Learn about eligibility and criteria and apply for a bursary on the UAT-UK website.

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.