TMUA Basics: The Complete Guide

If you are applying to study Mathematics and mathematics-related courses at Cambridge and other universities you have likely come across the TMUA, but what actually is it?

Last Updated: 24th May 2022

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Several different universities in the UK use the TMUA as part of their admissions process.

But what is the TMUA, and why do you have to sit it? In this guide, we’ll go over everything you need to know about the TMUA, from the format to the key dates. Let’s get started:

What is the TMUA?

The Test of Mathematics for University Admissions (TMUA) is designed to allow you to demonstrate that you have the essential mathematical thinking and reasoning skills needed for a demanding undergraduate Mathematics or mathematics-related course.

You are encouraged to take the TMUA when applying to study Mathematics or mathematics-related courses such as Economics and Computer Science at certain universities. In most cases, the test is not compulsory; however, a good performance on this Admissions Test may result in a reduced offer.

Which Universities Accept The TMUA?

Applicants for certain subjects at the University of Cambridge and Imperial College London will be required to sit the TMUA as part of their application. The subjects that require the TMUA are:

University of Cambridge

Imperial College London

Other universities which accept results from the TMUA are:

Who Runs The TMUA?

The TMUA was previously run by Cambridge Assessments Admissions Test (CAAT) but has now been taken over by Person VUE, which creates and organises a wide range of computer-based tests across the globe. Their tests are all taken in specific testing centres owned by Pearson VUE. There are over 500 across the globe, including over 100 in the UK. 

The TMUA itself actually falls under a sub-division of the company created to run university admissions tests – University Admissions Testing UK (UAT). Currently, UAT runs the TMUA and the Engineering & Science Admissions Test (ESAT). They also operates the University Clinical Aptitude Test (UCAT) for UK medical schools and the Law National Aptitude Test (LNAT) for UK law schools. 

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What Is The Format Of The TMUA?

The TMUA is two and half hours long, made up of two papers which are taken consecutively. Since 2021 the test is computer-based.

Paper 1 assesses applications of Mathematical knowledge and focuses on assessing your ability to apply your knowledge of Mathematics in new situations. You have 75 minutes for this paper to answer 20 multiple-choice questions.

Paper 2 assesses Mathematical reasoning and focuses on assessing your ability to deal with Mathematical reasoning and simple ideas from elementary logic. As with Paper 1, you have 75 minutes to answer 20 multiple-choice questions.

No calculators or dictionaries are allowed during the test, although paper will be provided for rough working out.

TMUA Testing Platform

The TMUA is run on a custom testing programme created by Pearson VUE, which you can see below:

On this platform, users are presented with questions one at a time, along with up to eight answer options. The top of the page contains the timer, indicating how much time you have left on the paper, and the flag button, which lets you highlight any question to go back to. The “Explain Answer” button isn’t a part of the actual test as it provides a worked solution to each question.

The bottom of the page features buttons to move to the next and previous question. Once all the questions on the paper have been completed, you will see the review screen. This screen shows the status of each question in the paper (answered, unanswered, flagged). This page lets you go back to any questions before the end of the time limit (you can also access the page via the “Navigator” button). Once time is up, you will be moved on to Paper 2 (or the end of the test).

Why Do I Have To Sit The TMUA?

Cambridge Economics and Computer Science applicants tend to be a bright bunch and therefore usually have excellent grades, with many having over 90% in all of their A-Level subjects.

Subsequently, competition is fierce, so Cambridge uses the TMUA to help differentiate between applicants who are otherwise academically indistinguishable.

Furthermore, the TMUA helps determine a candidate’s potential to achieve in an academically demanding undergraduate course. As already mentioned, if you are applying for a university where the TMUA is considered but not compulsory, a high score may mean you get a lower offer.

How Is The TMUA Used?

Interestingly to note, you can decide if you want to share your results with universities or not after you have received them. The test gives you a risk-free opportunity to prove your potential and, in some cases, to receive a reduced offer.

The exception to this is the University of Cambridge, where results will be sent directly to the university so it will not be in the list of universities you can share the results with.

Your TMUA score will be used in different ways by universities as part of this admissions process. Most use your TMUA results alongside all aspects of your application. Others may use the results as a way to filter out candidates who did not achieve a certain score.

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When And Where Do I Sit The TMUA?

The TMUA recently underwent some changes after the original exam organiser ceased operations and transferred responsibilities to Pearson VUE, who run the test under their University Admissions Tests UK (UAT) brand. While the exam format has not changed (other than it now being computer-based), various other aspects of the exam have. 

The first of these changes is the testing dates. Previously, the TMUA was sat on a single day in October, but now there are two available testing periods, each of which runs for 2 days: 

TMUA October 2024 Testing Dates

Registration Opens: 1st August 2024

Registration Closes: 16th September 2024

Testing Dates: 16th – 17th October 2024

TMUA January 2025 Testing Dates

Registration Opens: 24th October 2024

Registration Closes: 9th December 2024

Testing Dates: 8th – 9th January 2025

Candidates need register online via a Pearson VUE account by the deadline date for their testing period. Applicants for any university are able to sit the TMUA during the October period, but Cambridge applicants will not be able to sit the TMUA during the January period as this testing date runs after the Cambridge admissions process has completed. 

You can only sit the TMUA once per admissions cycle, meaning you cannot resit the Admissions Test. This also means if you are reapplying the following year, you will have to take the TMUA once again.

In 2024, the TMUA will be sat within Pearson VUE testing centres. There are hundreds of centres located across the globe, including over 100 available in the UK. You will be able to see which is closest to you when you are booking your testing slot.

TMUA Costs

Anyone sitting the TMUA will have to pay a fee before the booking is confirmed:

TMUA Fee - UK Applicants


TMUA Fee - Non-UK Applicants


Bursary vouchers are available for applicants who receive certain forms of financial aid (such as universal credit or job seekers allowance) that cover the full cost of the booking. These need to be applied for before registration and before the registration deadline for the desired testing period.

How To Register For The TMUA?

Registration for the TMUA must be done via Pearson VUE’s online system. These are the steps you’ll need to take to do so:

1. Set Up A Pearson VUE account

To start with, you’ll need to create a Pearson VUE web account (or UAT account) on the official UAT website. This process requires you to submit personal and contact details, including your full legal name (as seen on any form of ID). You can also provide demographic and educational data should you wish to (this is used for research purposes). 

2. Receive Confirmation and Candidate ID

Once your account has been made, you’ll receive a confirmation email within 24 hours. You’ll then be able to log in to your account, where you can make alterations to your account and view your candidate ID. You’ll need this ID when contacting customer services. 

3. Book Your Test

Once the TMUA test bookings open, you will need to book your slot via your account. First, you will be required to select your nearest testing location (this will be based on your current location). Then you’ll have to choose from the available time/date slots that are available during the testing window (slots can get booked up if you register close to the deadline). 

4. Pay For Your Test

You will have to pay a fee to sit the TMUA – this will need to be paid before your slot is confirmed. Once the fee has been paid (either by card or with a bursary voucher), you will receive a confirmation email. 

How To Prepare For The TMUA

The focus of the TMUA is on Mathematical thinking.

It uses Mathematics you will have already learnt in your school studies, so there is no need to do much preparation beyond familiarising yourself with the test format and style of questions.

Reading the test specification and ‘Notes on Logic and Proof’ and answering practice questions under timed conditions are good places to start.

The ‘Notes on Logic and Proof’ document written by Cambridge Assessment Admissions Testing introduces and works through the Mathematical logic and methods of proof that you need to be comfortable with when sitting the TMUA.

Make sure to read and work through the examples and exercises, especially before attempting any Paper 2 questions, as this is assumed knowledge.

Before attempting any papers under timed conditions, make sure you are comfortable with the question format and style. This way, you can concentrate on getting more correct answers over how quickly you finish the paper.

Work through it step-by-step so that you thoroughly understand how to get to the answer, which will enable you to improve each time you tackle a past paper.

Once confident, move on to answering them under time conditions. This will allow you to gauge what sort of pace you need to work at in order to have enough time to answer each question.

You need to find a balance where you are not rushing but neither are you taking too long. Your pace will naturally increase with practice.

How Is The TMUA Scored?

There is no pass or fail for the TMUA. Your final scores are based on the number of correct answers you give. There is also no negative marking, so it is always worth making a guess.

Your score on the test will be based on your overall performance on both papers and will be given on a scale of 1.0 to 9.0, with 1.0 being the lowest and 9.0 the highest.

You will also be given a score for each of the two papers that make up the test, both on the 1.0 to 9.0 scale, but these two scores are for information only and do not form part of your formal test result.


You should now have a better idea of what the TMUA is and begin preparing for the Admissions Test. The application process is highly competitive, and the TMUA is an effective way for the Admissions Tutors to gauge a realistic representation of you.

It’s best to think of the Admissions Test as another opportunity to show the Admissions Tutors how impressive your Maths skills are rather than as another hurdle.

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