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 tutorAbout 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.
Applying for Cambridge Maths? You'll likely sit both — the TMUA before interview, and STEP as part of your offer.
See our STEP pageYour Tutors
Meet our TMUA tutors
Oxford and Cambridge mathematicians who sat these admissions tests themselves — and know exactly what the TMUA rewards.
Helen
Cambridge Mathematics — First Class, MSc
Cambridge mathematics graduate (First Class), ranked 8th in my year and now on a master's. I scored an S in STEP II and a grade 1 in STEP III — two marks off a second S — and I specialise in TMUA, STEP and Oxbridge interview preparation, building the problem-solving and fluency these tests reward.
My tutoring is always tailored — there's no one-size-fits-all in maths — and I have particular experience supporting neurodiverse students and those with learning differences. Alongside admissions tests I tutor maths, physics and science at GCSE and A-Level.
Ana
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 82 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.
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.
Emilie
Oxford Mathematics & Statistics
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.
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.
Henry
Oxford Mathematics — New College
Mathematics student at Oxford (New College). I achieved a First in my preliminary examinations and I'm on track for a First-Class degree, and I specialise in TMUA preparation, maths admissions guidance, interview practice and college application strategy.
Having been through the Oxford process recently, I focus on the problem-solving skills, confidence and approach that competitive maths applications reward. I sat the admissions tests myself and tutor maths and further maths across all levels.
Barnaby
Oxford Mathematical & Theoretical Physics — MMathPhys
Oxford MMathPhys student with a First-Class bachelor's and a predicted First in my master's, holding an 86% average across my mathematics modules. I specialise in TMUA, STEP and maths/physics admissions, with all-A* A-Levels in Maths, Further Maths, Physics and Chemistry.
I've gained classroom teaching experience through a secondary-school physics teaching internship and mentored students on Oxford's MPLS bridging programme, which supports applicants from disadvantaged backgrounds. I tutor A-Level Maths and Physics alongside admissions preparation.
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.
Study materials
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.
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