TMUA

The Test of Mathematics for University Admission is a challenging admissions test used by a range of top UK universities in the selection process for Mathematics, Computer Science, and related courses.

2026-27 Exam Dates
October and January (TBA)
Prerequisite knowledge
A level/IB first year
Download our comprehensive TMUA Handbook
For students, parents, and teachers

About the TMUA

The Test of Mathematics for University Admissions (TMUA) is used by a range of top UK universities as part of their undergraduate admissions process for courses in mathematics, computer science, economics, and related subjects. The TMUA allows students to demonstrate the thinking and reasoning skills required to study heavily mathematical courses at university level. It is the most time pressured of the university admissions tests, so requires diligent practice to master.

The TMUA is designed to differentiate between the highest achieving students. There is no pass or fail mark for the test, and a ‘good’ score will depend on the university course applied for. The results of the test are used in different ways by different universities. For example, scores are a key factor in shortlisting Cambridge, Oxford and (some) Imperial candidates for interview, and in determining reduced offers for universities such as Durham and Warwick. A strong TMUA score supports a student's university applications by providing additional standardised information.

Our TMUA Handbook and Knowledge Base are a free resource recommended for students, parents, and teachers. They detail the TMUA requirements for each university, our recommended preparation strategy, useful exam technique tips, and much more!

Format and Content
Key Information
  • The TMUA is administered by UAT-UK. It is a computer-based exam, taken at a Pearson VUE test centre.
  • The TMUA comprises two papers, each lasting 75 minutes, which are taken consecutively. Each paper consists of 20 multiple-choice questions.
  • Click here for the most recent test specification.
  • Paper 1 (Applications of Mathematical Knowledge) assesses a candidate’s ability to apply their knowledge of mathematics in unfamiliar situations.
  • Paper 2 (Mathematical Reasoning) assesses a candidate’s ability to deal with mathematical reasoning, and simple ideas from elementary logic.
  • The TMUA is designed to test candidates' problem solving ability rather than breadth of knowledge beyond first year A Level/IB content.

The following universities use the TMUA in their admissions process. Note that Oxford will be using the TMUA for the first time in 2026.

Vantage Admissions Preparation Courses for the TMUA

The TMUA is a challenging part of the university admissions process, but students can reliably improve their score with thorough preparation and practice. Our TMUA Programme is designed and delivered in its entirety by our founding director, Rowan Wright. Rowan has experience as an examiner of mathematics admissions tests and has been a specialist admissions test tutor for over 8 years. Benefitting from Rowan's invaluable insight into the nuances of the TMUA, our comprehensive programme enables students to excel.

Our unique hybrid approach combines high-quality, on-demand resources with live sessions and individual support when required. Click on the boxes below to learn more about the components of the programme.

TMUA Primer Course

Unique to Vantage Admissions, the TMUA Primer Course is a comprehensive preparation course which bridges the gap between A level (or equivalent) content and the TMUA. It introduces both new techniques that go beyond the A level and new perspectives on the school-level material used in the exams. It also covers in detail the ideas from logic and proof which feature prominently on TMUA Paper 2. The course consists of 10 video lessons, averaging from 90 minutes to 2 hours in duration, which provide a systematic and thorough introduction to prominent themes which arise in TMUA questions. Each lesson is accompanied by detailed notes and a worksheet with extensive solutions. The worksheet questions are designed to ensure mastery of the concepts and techniques taught in the lesson, and there are more than 200 original questions to complete in total. The TMUA Primer Course is designed to take approximately 40 hours to study in full.

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Past Paper Solutions

Our TMUA programme includes detailed past paper solutions (in video and booklet form) for all TMUA past papers, as well as solutions for over 25 years of MAT multiple-choice questions (1996-2023) for extra practice. The solutions are authored and delivered by our founding director, Rowan Wright, and designed in consultation with our team of qualified teachers, admissions test examiners, and Oxbridge supervisors. Rather than merely presenting a method which works, the solutions focus on how a student can generate the required ideas and think through a problem systematically. This enables students to benefit fully from past paper practice, coming away from each question with a complete understanding and ready to tackle similar variations in future.

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Additional TMUA-Style Practice Papers

Due to the relatively limited number of TMUA past papers available (compared to long-running exams like the MAT), we provide three additional sets of TMUA-style practice papers with detailed solution booklets. They are authored entirely by TMUA experts from the Vantage Admissions team. Please note that these practice papers are only available as part of the TMUA Programme and not for standalone purchase.

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Mentoring Sessions

All students on the TMUA Programme have the benefit of regular mentoring sessions over the course of their exam preparation, ideally attended along with their parents/guardians. All meetings are held with our founding director and are completely tailored to the student’s specific goals. The aim of these sessions is to review progress, address doubts or concerns, provide motivation, and create actionable plans to resolve any difficulties. Personalised mentoring enables students to ensure they are staying on track for success and provides vital support over what is often a long process of preparation.

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Live Summer Workshops

Students on the TMUA Programme are invited to attend our live, interactive workshops, which will take place over eight consecutive weeks during Summer 2026 (exact times and dates to be confirmed). The focus of the workshops will alternate between general problem solving principles and exam technique for the TMUA. Sessions are led by Vantage Admissions founding director Rowan Wright and problem solving aficionado Carlo Scarian. They provide an exciting change of pace from the more technical focus of the TMUA Primer Course and the rigidity of past paper problems, instead focusing on cultivating the mindset of a mathematician. Students are strongly encouraged to actively participate in the sessions and may be given some problems to consider in advance.

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On-Demand Support with Course Materials

Whilst the TMUA Programme resources are available to study at any time, it is not purely a self-study course. If students encounter a point of confusion with course content, or would like to ask a question, they are encouraged to send in an email or message. Most questions can simply be addressed with an email response, but brief troubleshooting calls are also possible if needed. We endeavour to respond to all questions as quickly as possible and guarantee a response within 48 hours.

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Individual Tuition

Many Vantage students opt to include individual tuition as part of their TMUA course. It is the most personalised support we offer and ensures any and all doubts can be addressed, whether they pertain to specific questions or broader topics and concepts. It also provides an opportunity for students to explore questions further, pursue their own interests, and – most importantly – ask questions. Beyond merely understanding a successful approach to a question, it’s very important for students to understand why their approach to a question didn’t work, which is uniquely well-served by one-to-one discussion with a specialist TMUA tutor. Discussion can be also particularly beneficial for mastering the ideas from Logic and Proof which feature in Paper Two.

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We offer a comprehensive programme for TMUA preparation and individual tuition available to book on an ad hoc basis. Prices include VAT.

£1299
TMUA Programme '26

Course Summary

With access to extensive, high-quality resources, personalised mentoring, and live workshops, students are given the best chance of success on the TMUA.

Includes:
  • Complete access to the TMUA Primer Course, including worksheets and solutions
  • Three additional TMUA practice papers sets designed by the Vantage team
  • Complete access to solution videos and booklets for all TMUA past papers and MAT multiple-choice questions
  • Access to all live workshops over Summer 2026
  • On-demand support with course materials available when required.
  • Three mentoring sessions with Vantage founding director, Rowan Wright
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From £150
Individual Tuition

Summary

Our specialist TMUA tutors help students develop an instinct for problem solving and build confidence. Most students benefit from some individual support.

Includes:
  • One tuition credit costs £150 and is redeemed for 1 hour of individual tuition.
  • Tuition can be used for troubleshooting any concerns with past papers, to fortify weaker topics, or for hands-on training in problem solving.
  • Tuition is provided by highly qualified members of the Vantage team, including admissions test examiners, Oxbridge supervisors, and qualified teachers. Nothing is outsourced to undergraduate students.
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Book a free consultation with our founding director, Rowan Wright, and:

Discuss your university course choices

Determine the most advantageous admissions test combination for your chosen courses

Formulate a personalised preparation strategy and receive actionable advice

Discuss Vantage course options

Hear from our students

"Rowan from Vantage is the real deal, a rare blend of being a sufficiently brilliant mathematician to have a complete, deep and intuitive grasp on the difficult problems set in admissions tests, but also a great teacher who is able to explain the thought process in a way students can understand. I cannot recommend him highly enough."

Achieved 1 in STEP II and S in STEP III