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University Entrance Test

TMUA Tutoring & PreparationTest of Mathematics for University Admission

Specialist one-to-one preparation for the TMUA — the admissions test for Maths, Computer Science and Economics at Cambridge, Oxford, Imperial, LSE, Warwick and more. Learn from Oxford and Cambridge mathematicians who've been through it themselves.

Find a TMUA tutor

About the Test

What is the TMUA?

The TMUA (Test of Mathematics for University Admission) is the admissions test for maths-heavy courses — Mathematics, Computer Science and Economics — at Cambridge, Oxford, Imperial, LSE, Warwick, Durham and UCL. It tests how well you apply A-level maths in unfamiliar contexts and reason with logic and proof, not how much you've memorised.

Who takes the TMUA

  • Mathematics, Computer Science and Economics applicants
  • Cambridge: Maths, Computer Science, Economics
  • Oxford (new for 2027): the Maths and Computer Science family of courses
  • Also Imperial, LSE, Warwick, Durham and UCL for selected courses

Format & scoring

  • Two papers, 75 minutes each: Paper 1 (Applications of Mathematical Knowledge) and Paper 2 (Mathematical Reasoning)
  • 20 multiple-choice questions per paper; no calculator and no formula booklet
  • No marks lost for wrong answers
  • One overall score on a 1.0–9.0 scale; no pass or fail

Key dates (2026 cycle, 2027 entry)

  • Registration opens: 1 June 2026
  • Booking opens 20 July 2026; deadline 28 September 2026
  • Test window: 12–16 October 2026 (Oxford & Cambridge must sit in October)
  • Results released: 16 November 2026
  • Fee: £78 (UK & Ireland) / £133 (elsewhere); bursaries available

What's changed?

  • From 2027 entry, Oxford has replaced the MAT with the TMUA for all its Maths and Computer Science courses (as has Imperial)
  • The TMUA is now part of the shared UAT-UK framework, delivered at Pearson VUE centres
  • The format is unchanged, so recent TMUA past papers remain ideal practice
  • Old MAT papers are less aligned, but the underlying problem-solving overlaps

Dates, fees and course requirements are set by UAT-UK and the universities — always confirm the latest at esat-tmua.ac.uk and your course page before registering.

Your Tutors

Meet our TMUA tutors

Oxford and Cambridge mathematicians who sat these admissions tests themselves — and know exactly what the TMUA rewards.

Jade

Jade

Oxford Mathematics Graduate
£75per hour
Highlights
Sat the TMUA herself
All A*s at A-Level, all 9s at GCSE
Four years' tutoring experience
A-Levels
Mathematics EdexcelA*
Further Maths EdexcelA*
Chemistry AQAA*
Economics EdexcelA*

My name is Jadesola — Jade for short — and I'm a Mathematics Graduate from the University of Oxford, having achieved all A*s at A-Level and all 9s at GCSE. I sat the TMUA myself, scoring around 7.0, so I know exactly what the papers ask of you. I love helping students understand the subjects I loved learning, and I keep sessions engaging and interactive, always making space to ask questions.

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I've been a self-employed tutor more than 4 years — teaching Maths at GCSE and A-Level has taught me to notice what a student is really struggling with and adapt the next lesson around it, pacing things differently depending on their level. As I've done A-Level Maths and Further Maths myself, I'm equally happy tutoring GCSE Further Maths. I focus on the reasoning and unfamiliar problem-solving the TMUA rewards, built through structured, patient practice.

View all qualifications
Degrees
MathematicsUniversity of Oxford
A-Levels
Mathematics EdexcelA*
Further Maths EdexcelA*
Chemistry AQAA*
Economics EdexcelA*
GCSEs
Mathematics Edexcel9
English Language AQA9
English Literature Edexcel9
Chemistry AQA9
Biology AQA9
Physics AQA9
Food and Nutrition WJEC9
Business Studies Edexcel9
Information Technology OCRDistinction*
Religious Studies AQA9
Aidan

Aidan

Cambridge Mathematics graduate
£70per hour
Highlights
Cambridge Mathematics graduate
5+ years tutoring maths to entrance-exam level
Cambridge Maths practice interviews & personal statements
A-Levels
Mathematics EdexcelA*
Further Maths EdexcelA*
Chemistry OCR AA*

Hi, I'm Aidan! I've just graduated from the University of Cambridge with a degree in Mathematics. I have 5+ years of experience tutoring mathematics, from GCSE level to university entrance exams, and have helped many students of varying abilities. I've helped many students through Cambridge Maths admissions during my degree — giving practice interviews, reviewing personal statements, and working through entrance-exam questions and preparation.

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I've given practice interviews for Cambridge Maths to five students as well as reviewing their personal statements, and I worked on a residential at my college for state school students, supporting them with entrance-exam questions. Many students I've tutored are those who need extra help to pass GCSE maths, and I've been able to support and encourage them to do exactly that. I've supported many students with SEND, providing tailored and engaging sessions suited to their individual needs. I am kind and supportive, and what I aim to provide for all students, alongside the mathematical knowledge, is the confidence that they are also good at maths — and that they can enjoy it.

View all qualifications
Degrees
BA MathematicsUniversity of Cambridge2:1
A-Levels
Mathematics EdexcelA*
Further Maths EdexcelA*
Chemistry OCR AA*
GCSEs
Mathematics AQA9
Further Maths AQA9
Chemistry Edexcel9
Physics9
Biology9
History9
Geography9
English Literature7
English Language6
Ana

Ana

Oxford Mathematics
£75per hour
Highlights
EGMO bronze medallist
MAT score: 84
Oxford Mathematics

Oxford mathematics student and European Girls' Mathematical Olympiad bronze medallist, with over a decade of competitive and academic maths behind me. I scored 84 on the MAT — the test the TMUA now replaces at Oxford — and I specialise in TMUA preparation, building the problem-solving and mathematical thinking it rewards.

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I attended a specialist maths high school focused on problem-solving, and I work patiently and consistently until things click. I tutor TMUA and STEP preparation alongside A-Level and GCSE maths, and I love showing students that hard problems become approachable with the right mindset.

View all qualifications
Degrees
MathematicsUniversity of Oxford · studying now
Other qualifications
Serbian Language and Literature5
Analysis with Algebra5
Nonhomogeneous difference equations5
Serbian Language and Literature5
English Language5
Philosophy5
Physics5
Astronomy5
Biology5
Physical and Health Education5
Analysis with Algebra5
Probability and Mathematical Statistics5
Numerical Mathematics5
Computer Science and Informatics5
Programming and Programming Languages5
Religious Education5
German Language5
Arjan

Arjan

Cambridge Computer Science — First Class
£75per hour
Highlights
TMUA 6.8
12 grade 9s · 4 A*s · top-50 CS mark nationally
Computer Science interview specialist
A-Levels
Mathematics EdexcelA*
Further Maths EdexcelA*
Physics EdexcelA*
Computer Science AQAA*

Hi, I'm Arjan — a First-Class Computer Science graduate from Trinity Hall, Cambridge. Before Cambridge I earned 12 grade 9s at GCSE and 4 A*s at A-Level, including one of the top 50 Computer Science marks in the country. I specialise in Oxbridge Computer Science applications: TMUA preparation, personal statement guidance and mock interviews. Having been through it recently myself, I know what admissions tutors look for — and how overwhelming it can feel from the other side.

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My style is patient and question-led: rather than handing you answers, I help you build the understanding and confidence to reason through problems yourself — exactly how I was taught in Cambridge supervisions. My degree specialism was artificial intelligence, which I love using to stretch students and show them where the subject leads. I also hold the JLPT N1, the highest level of the Japanese-Language Proficiency Test, from six years of self-teaching — an experience that shaped how I break difficult material down. Beyond admissions I tutor Maths, Further Maths, Computer Science and Japanese.

View all qualifications
Degrees
Computer ScienceTrinity Hall, CambridgeFirst
A-Levels
Mathematics EdexcelA*
Further Maths EdexcelA*
Physics EdexcelA*
Computer Science AQAA*
Other qualifications
JLPT (Japanese-Language Proficiency Test)N1
GCSEs
English Literature9
English Language9
Mathematics9
Further Maths9
Japanese9
Spanish9
German9
Physics9
Chemistry9
Biology9
History9
Computer Science9
Emilie

Emilie

Oxford Mathematics & Statistics
£105per hour
Highlights
Sat the MAT & TMUA
3+ years tutoring admissions tests
Oxford Maths & Statistics
A-Levels
Mathematics OCR MEIA*
Further Maths OCR MEIA*
Physics AQAA*

Oxford Mathematics and Statistics student with over three years of experience tutoring admissions tests. I sat both the MAT and the TMUA myself, and having navigated the Oxford process recently, I specialise in TMUA preparation — developing the problem-solving and reasoning the test demands.

Read more

Alongside admissions support I tutor maths and further maths at every level, personalising sessions to your specific needs and the areas you want to strengthen. I enjoy the learning process as much as the result, and I tailor everything to how you work best.

View all qualifications
Degrees
Mathematics and StatisticsUniversity of Oxford · studying now
A-Levels
Mathematics OCR MEIA*
Further Maths OCR MEIA*
Physics AQAA*
GCSEs
Mathematics OCR9
Further Maths OCR9
Physics AQA9
Nicholas

Nicholas

Cambridge Computer Science Graduate
£75per hour
Highlights
Sat the TMUA himself
A* in Maths, Further Maths & Computer Science
Four years' tutoring experience
A-Levels
Mathematics AQAA*
Further Maths AQAA*
Computer Science AQAA*

I'm Nicholas, a recent graduate Cambridge University studying Computer Science. I sat the TMUA myself as part of my application, so I know what the papers ask of you and how to prepare for them. I've been tutoring for four years at GCSE and A-Level, with A*s of my own in Maths, Further Maths and Computer Science.

Read more

The TMUA rewards applying A-level maths in unfamiliar situations and reasoning carefully with logic and proof, rather than recalling method — and that's what I focus on in sessions. Alongside TMUA preparation I tutor Maths, Further Maths and Computer Science at GCSE and A-Level, and I'm happy to talk through what Computer Science at Cambridge is actually like from someone currently doing it.

View all qualifications
Degrees
Computer ScienceUniversity of Cambridge
A-Levels
Mathematics AQAA*
Further Maths AQAA*
Computer Science AQAA*
Theo

Theo

Oxford Mathematics
£65per hour
Highlights
Distinction in the British Mathematical Olympiad
Took a student from 40 to 60 on Oxford's maths test
Four A*s at A-Level · ten grade 9s at GCSE
A-Levels
Chemistry AQAA*
Physics AQAA*
Mathematics EdexcelA*
Further Mathematics EdexcelA*

I am a recent graduate of Mathematics from Lincoln College, Oxford. I achieved four A*s at A-Level and ten grade 9s at GCSE, as well as a distinction in the British Mathematical Olympiad. I have two years of tutoring experience, including Mathematics, Further Mathematics and Core Maths at A-Level and the Oxford Mathematics admissions process. I deliver a personal style of tutoring which is more collaborative and involved than at school — closer to an Oxford tutorial.

Read more

I tutored one student through the Oxford Mathematics admissions process, taking them from an initial practice mark of 40 to 60 in their actual exam. I've also helped students with admissions preparation as a university student ambassador, running personal statement workshops, mock interviews and entrance exam preparation. I sat Oxford's maths admissions test myself in 2022, scoring 65, before the TMUA replaced it — the reasoning and unfamiliar problem-solving it demanded is the same thinking these papers reward, and my Olympiad background means I'm comfortable with problems that don't have an obvious route in.

View all qualifications
Degrees
BA MathematicsLincoln College, Oxford2:1
A-Levels
Chemistry AQAA*
Physics AQAA*
Mathematics EdexcelA*
Further Mathematics EdexcelA*
GCSEs
Mathematics AQA9
Further Mathematics AQA9
Physics AQA9
Chemistry AQA9
Biology AQA9
Geography AQA9
Spanish AQA9
Music Edexcel9
English Language AQA9
English Literature AQA9
Design & Technology AQA8
Astronomy Edexcel7

Free Resources

TMUA past papers & practice

A full archive of past papers with answer keys and worked solutions, plus the official specification and notes. The TMUA format hasn't changed, so every paper below is directly relevant practice.

Past papers

2023
2022
2021
2020
2019
2018
2017
2016
Specimen Papers

Past papers from 2016–2023 are from the test's earlier provider but remain directly relevant — the format is unchanged. The newest official paper and the current specification are on the UAT-UK site.

After the test

Next: practise for your interview

Most Oxford and Cambridge interviews happen in December. Each subject page explains how your course is assessed and shows the tutors who can help.

Applying outside Oxford and Cambridge? There's a second TMUA sitting on 4–8 January 2027, for universities that accept it. It isn't open to most Oxford or Cambridge applicants. Booking opens on 26 October at 3pm. Ask about January preparation.

See every Oxford and Cambridge course that uses the TMUA, or our interview practice page.

How it works

Simple, flexible, by the hour

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