The TMUA (Test of Mathematics for University Admission) is a Maths-based admissions test used by a handful of top universities, including Oxford and Cambridge. The aim of the TMUA exam is to help universities assess your ability to understand A-level Maths and your suitability for a Maths-based degree.
Preparing for the TMUA exam can be a challenging and demanding undertaking. The assessment not only tests your mathematical knowledge, but also your logical thinking skills and ability to solve mathematical problems.
That’s where The Profs’ experienced TMUA Tutors can help. With first-hand experience of the exam content and skills required and an understanding of how it fits into the wider admissions process for top universities, our tutors are able to help you get the best possible TMUA grade and secure a place on your first choice Mathematics-based course.
How to Prepare for the TMUA
- What Is the TMUA?
- Which Universities Require the TMUA?
- What Is Included in the TMUA Exam?
- How Is the TMUA Exam Marked?
- What TMUA Score Do You Need to Get?
- When Do You Sit the TMUA Exam?
- How Do You Register for the TMUA?
- How Much Does the TMUA Cost?
- When Can You Find Out Your TMUA Results?
- TMUA Preparation: 4 Tips to Help You Prepare
What is the TMUA?
The TMUA is one of several university admissions tests used to help universities identify applicants with exceptional mathematical ability. Unlike school exams, the TMUA is designed to assess mathematical thinking and reasoning rather than simply recalling content already learned in your school studies. It forms an important part of the admissions process for competitive mathematics and computer science courses and is increasingly used alongside other admissions tests for university admissions.
Which universities require the TMUA?
The TMUA is required by the following universities:
- The University of Cambridge.
- The University of Oxford.
- Imperial College London.
- London School of Economics (LSE).
- Durham University.
- The University of Warwick.
The table below shows some of the universities and courses that the TMUA is required/recommended for. Either way, when it comes to competitive courses, taking the TMUA could help your application stand out from other applicants. It’s especially a good idea if you’re looking for a reduced grade offer from Durham University in particular.
| University | TMUA Required For | Notes |
|---|---|---|
| University of Cambridge | Computer Science Economics Mathematics | — |
| University of Oxford (2026 onwards) | Computer Science Computer Science and Philosophy Mathematics Mathematics and Statistics Mathematics and Computer Science Mathematics and Philosophy | — |
| Imperial College London | Department of Computing courses Department of Mathematics courses Economics, Finance and Data Science | — |
| University College London (UCL) | Economics | — |
| London School of Economics (LSE) | Economics Econometrics and Mathematical Economics | TMUA is also accepted (but not mandatory) for Data Science and Actuarial Science & Mathematics Joint Honours. |
| University of Warwick | Computer Science Computer Science with Business Studies Discrete Mathematics Economics Economics, Politics and International Studies Economics and Management Mathematics | TMUA is also accepted (but not mandatory) for Data Science, Mathematics and Statistics, and Mathematics, Operational Research, Statistics and Economics (MORSE). |
| Durham University | Mathematics* Mathematics and Statistics* | TMUA is recommended but not mandatory. |
With acceptance rates for top Mathematics, Economics and Computer Science courses falling below 15%, excelling in the TMUA can make a real difference. Our specialist Admissions Tutors will help you set a realistic target score and develop a tailored preparation strategy designed to maximise your TMUA performance.
What is included in the TMUA exam?
Before you sit the TMUA, it’s important to understand the test format. The 2.5-hour assessment consists of two papers, with each carrying equal weighting towards your overall score. Both papers contain 20 multiple-choice questions, and candidates have 75 minutes to complete each paper. The TMUA is completed without a calculator, meaning every candidate must rely on mathematical reasoning rather than technology.
The TMUA uses mathematics that students have typically already learned in A Level Mathematics, although applying this knowledge in unfamiliar contexts is a reason why many candidates find the TMUA challenging. The mathematical content is outlined in the official TMUA syllabus, so it’s essential to read the test specification before beginning your preparation for the exam.
The content you are expected to know for section 1 of the TMUA is listed in the 2025 Test Specification. It includes:
- Algebra and functions
- Sequences and series
- Coordinate geometry in the (x, y)-plane
- Trigonometry
- Exponentials and logarithms
- Differentiation
- Integration
- Graphs of Functions
Section 2 requires candidates to understand how to think in a mathematical way, including the logic of arguments, mathematical proof and identifying errors in proofs. This content is detailed in the TMUA Notes on Logic and Proof. More information on this can be found in tip 1 under ‘How to prepare for the TMUA’ below.
How is the TMUA exam marked?
Each question in the TMUA is worth 1 mark, meaning there are a maximum of 40 marks available in the whole exam. This number of marks will then be converted into a scale from 1.0 (low) to 9.0 (high). The scale has been designed so that typical candidates will score around 4.5, and approximately 10% will achieve scores higher than 7.0.
Like the majority of admissions assessments, you don’t lose marks for wrong answers, so it’s always worth attempting every question. Your final score depends entirely on the number of correct answers you achieve across both papers before this raw mark is converted onto the TMUA scale. You will also be given scores for each of the two papers using the same scale, however these are just for your information.
What TMUA score do you need to get?
There is no set “pass/fail” mark for the TMUA, and the majority of universities do not publish official cut-offs. However, as the test is scored on a scale from 1.0 to 9.0, a score of 6.5 or higher is generally considered highly competitive and puts you in the top tier of applicants.
Although the University of Cambridge does not publish official TMUA cut-off scores, a Freedom of Information request has revealed the average scores of Computer Science applicants and offer holders for the 2025 admissions cycle. These figures provide a useful benchmark for applicants aiming for one of the UK’s most competitive courses.
| Average score of applicant | Average score of offer holder | |
| Computer Science (2025) | 4.6 | 6.6 |
If you’re aiming for Cambridge, working with one of our Cambridge Admissions Tutors can give you a competitive edge in the TMUA and interview. The results speak for themselves: in 2025, 66% of our Oxbridge applicants received an offer – that’s more than three times the national average!
When do I sit the TMUA exam?
The TMUA is held twice per admissions cycle, with test sittings in October and January. Most applicants to the University of Oxford or the University of Cambridge must sit the TMUA during the October test window. The January sitting is only available to specific groups of Oxbridge applicants, such as those applying to certain mature colleges at Cambridge or eligible Oxford Foundation Year programmes.
Applicants to all other universities can decide when to sit.
For the 2027 entry cycle, the key dates are:
- October test window: 12–16 October 2026
- January test window: 4–8 January 2027
Because test dates, booking windows and deadlines can change from year to year, it’s important to check the latest timetable on the UAT-UK website before registering. You should also book your test as early as possible to maximise your choice of Pearson VUE test centre and appointment time.
How do you register for the TMUA?
To register for the TMUA, you’ll first need to create a UAT-UK account. Once your account has been set up, you can apply for a bursary or request any required access arrangements before selecting your test. After this, you’ll choose the TMUA, book your preferred test date and location, and complete your booking through Pearson VUE.
TMUA tests are sat at authorised Pearson VUE Test Centres, so it’s worth booking as early as possible to maximise your choice of test centre and appointment time. If you’re applying for financial support or access arrangements, make sure these are approved before you book your test, as they cannot usually be added afterwards.
Once you’ve booked your test, you’ll receive confirmation through your UAT-UK account. Your TMUA results will be released via the same account approximately six weeks after your test and will automatically be shared with participating universities included in your UCAS application – you don’t need to send your scores yourself.
How much does the TMUA cost?
The cost of sitting the TMUA depends on where you take the test. For the 2026–27 admissions cycle, the fees are as follows:
| Location | TMUA Registration Fee |
|---|---|
| UK & Republic of Ireland | £78 |
| Outside the UK & Republic of Ireland | £133 |
UK students from lower-income households may be eligible for a UAT-UK bursary, which covers the full cost of the test. If your bursary application is approved, you won’t need to pay the registration fee. It’s important to apply for a bursary before booking your test, as bursaries cannot usually be applied retrospectively.
You should also be aware that some Pearson VUE test centres may have limited appointment availability during the booking window, so it’s advisable to register and book your test as early as possible.
When can you find out your TMUA results?
TMUA results are typically released roughly 4 weeks after the test sitting. For the October testing window, scores are generally released on November 16th, and for the January sitting, they come out in mid-February. You can view your results directly through your UAT-UK Dashboard.
How do your chosen universities receive your TMUA results?
Unlike almost all other admissions tests, TMUA results are not automatically shared with most universities. You will therefore need to share your results with your chosen universities manually. You can do this by logging onto the Metritests system and selecting which universities you want to receive your results.
It’s best to share your results with your chosen universities as soon as possible once the results have been released. This will help to ensure the universities receive them in good time and are able to take them into consideration during the deliberation process.
The only exception to this is for the University of Cambridge. TMUA results will be sent directly to Cambridge if you have applied there. You won’t find Cambridge on the Metritests system for that reason.
TMUA Preparation: 4 Tips to Help You Prepare
1. Focus on developing your mathematical thinking skills
The TMUA tests far more than your subject knowledge; it also assesses your mathematical logic and reasoning skills in Section 2. It may be tempting to overlook preparation for this section, assuming these skills have developed naturally through studying Maths at school. However, Section 2 requires just as much attention as Section 1, as it introduces a unique style of questions that many students won’t have encountered before.
One of the best resources for preparing is the TMUA Notes on Logic and Proof, which should be treated with equal importance to the subject content you’ll revise. This 74-page guide explains the concepts and reasoning skills needed to succeed in Section 2, covering:
- The Logic of Arguments.
- Mathematical Proof.
- Identifying Errors in Proof.
Before attempting any past papers, spend time working through these notes and becoming familiar with the concepts they introduce. Doing so will help you understand the format and style of questions used in Section 2 and develop a stronger approach to answering them. As these questions differ from those typically encountered at school, it’s important to leave yourself plenty of time to build these skills rather than leaving your preparation until the last minute.
2. Practise past papers under timed conditions
Once you’re familiar with the style of TMUA questions and know how to go about answering them, start attempting past papers under timed conditions. This will help you to gauge what sort of pace you work at and how long you should be spending on each question in order to complete the paper in the 2.5 hours provided.
Once you’ve finished a past paper, it’s also a good idea to mark your answers. You can find worked solutions to each of the past papers, which will not only help you gauge what marks you’re getting and what score you might expect in the real exam, but also help you to learn the correct solutions to the questions.
4. Seek help from a TMUA expert
How you perform in the TMUA will impact how likely you are to be offered a place by top universities, so it’s really important that you are prepared to do as well as possible in the exam. Unfortunately, schools and colleges are oftentimes not equipped to provide specialist TMUA preparation due to a lack of experience, expertise or resources. As a result, we advise seeking a professional TMUA tutor to help you through the process.
The Profs’ Admissions Test Tutors have many years of experience preparing students for the TMUA exam, with many having actual experience as exam and admissions officers as well. Over these years, they have built a bank of previous questions and developed in-depth knowledge of the mark scheme, so they know exactly what examiners will be looking for.
If you work with one of The Profs’ tutors, you are more than three times more likely to get into Oxford or Cambridge, which are ranked as the best universities in the UK to study Computer Science. You’ll also have a +95% chance that you will receive an offer from your first or second choice university to study your chosen Maths, Statistics or Economics degree course when working with us.
Plus, you can trust us to guide you through every stage of the admissions process to ensure that you don’t just succeed in the TMUA, but also achieve top A level or IB grades and perform well in your interview.
FAQ About the TMUA (Test of Mathematics for University Admission)
How many people take the TMUA each year?
The number of students who take the TMUA varies from year to year as more universities use the TMUA within their admissions process. In recent years, several thousand candidates in the UK and Republic of Ireland, as well as international applicants, have sat the admissions test. As more top universities in the UK adopt the TMUA for Mathematics, Computer Science and Economics courses, participation is expected to continue growing.
Can I sit the TMUA twice?
No. You can only take the TMUA once per admissions cycle, and it isn’t possible to resit the exam to improve your score in the same application year. Universities will only consider the result from your first sitting, so it’s important to begin preparing for TMUA well in advance.
Starting your admissions test preparation early gives you plenty of time to complete TMUA practice, work through practice papers and TMUA past papers under exam conditions, and become familiar with the test format before you sit the test. A structured preparation plan can make a significant difference to your final performance.
How many people score 9.0 in the TMUA?
Achieving a 9.0 is exceptionally rare. Fewer than 1–3% of candidates achieve the maximum score for the TMUA, as the scaled score is designed to distinguish the very strongest applicants. A 9.0 typically requires almost all 20 multiple choice questions across Paper 1 and Paper 2 to be answered correctly, demonstrating exceptional mathematical thinking and reasoning skills. While very few applicants reach this score, consistent TMUA practice, completing every available TMUA past paper, and reviewing past paper questions carefully can significantly improve your performance.
