The TMUA (Test of Mathematics for University Admission) is a computer-based admissions test run by UAT-UK and delivered by Pearson VUE. It has two 75-minute papers of 20 multiple-choice questions each, with a single score from 1.0 to 9.0, and is used by UK universities for mathematics, computer science and economics degrees.

Does FrontierVUE provide official TMUA questions?

FrontierVUE's TMUA practice is built on publicly released past-paper materials. FrontierVUE is an independent practice platform and is not affiliated with or endorsed by UAT-UK, Pearson, OCR, the University of Cambridge, Imperial College London, or any official admissions-test owner.

FrontierVUE is free to start: registration is free, and every exam including the TMUA offers free sample past papers. Full question banks, mock papers, premium practice modes and AI analysis unlock with a one-time per-subject purchase. Institutional plans are also available.

Can schools use FrontierVUE for mock exams?

Yes. FrontierVUE offers institutional plans for schools and training centres: invigilated mock exams in a computer-based interface, anti-cheating safeguards, group assignment and cohort-level analytics. Contact the team through the site to set up institutional access.

TMUA

Test of Mathematics for University Admission

Q: How should I practise for the TMUA?

Work through past papers under timed, exam-like conditions, then review every mistake. FrontierVUE supports TMUA preparation with timed mock practice in a computer-based interface, past papers organised by year, worked solutions and performance analytics.

The admissions test for mathematics, computer science and economics degrees — two 75-minute papers, one overall score from 1.0 to 9.0.

Format: 2 × 75 min
Questions: 2 × 20 multiple choice
Restrictions: No calculator / dictionary
Score range: 1.0 – 9.0

Start practising Prep guides

The TMUA (Test of Mathematics for University Admission) is run by UAT-UK and delivered worldwide by Pearson VUE. It is used mainly for undergraduate applications in mathematics, computer science and economics. Built on GCSE / AS-level content, the test consists of two papers, each with 20 multiple-choice questions in 75 minutes; calculators and dictionaries are not allowed at any point. There is no pass mark — the TMUA reports a single overall score (1.0–9.0, to one decimal place), which universities weigh alongside the rest of your application.

SCHEDULE

Test dates

October sitting

Registration opens: Late July
Registration closes: Late September
Test date: Mid-October
Results: Mid-November

January sitting

Registration opens: Late October
Registration closes: Late December
Test date: Early January
Results: Early February

Sittings and exact dates are confirmed each year by the test owner — always check the official UAT-UK website; the dates above reflect recent cycles. Applicants to Cambridge and Oxford must take the October sitting (except applicants to Cambridge mature colleges and Oxford Foundation Year routes with January deadlines).

STRUCTURE

Paper structure

01Paper 1

Applications of Mathematical Knowledge

20 multiple-choice questions75 minutes

Tests how you apply mathematical knowledge in unfamiliar settings — algebra, functions, sequences, geometry, coordinate geometry and trigonometry — with the emphasis on mathematical thinking and modelling.

02Paper 2

Mathematical Reasoning

20 multiple-choice questions75 minutes

Tests mathematical reasoning and elementary logic — argument, proof, deciding whether statements are true or false, and constructing counterexamples — with the emphasis on rigour and chains of logic.

SCORING

Scoring

01
Marks are awarded for correct answers and there is no penalty for wrong answers, so attempt every question.
02
The two papers combine into a single overall score from 1.0 to 9.0 (to one decimal place); there is no per-paper threshold.
03
There is no pass mark — universities weigh the score alongside A-levels and the rest of your application; it is one factor among several.
04
Results are released about 4–5 weeks after the test (officially around 4 weeks; e.g. a mid-October test means mid-November results) via your UAT-UK account, and are sent automatically to the universities you have nominated.

UNIVERSITIES

Universities & requirements

Requirement	University	Courses	Notes
Required	University of Cambridge	Computer Science, Economics, Mathematics (from 2027 entry)	Standard applicants (15 October UCAS deadline) must take the October sitting; applicants to mature colleges with the January deadline may sit in January. Cambridge publishes no cut-off, but third-party statistics suggest 6.5+ is strongly competitive.
Required	University of Oxford	Mathematics, Computer Science and all joint courses (from 2027 entry)	Oxford announced in January 2026 that the MAT is being retired — TMUA applies from the 2027 entry cycle. The October sitting is required (except Foundation Year applicants with the January deadline).
Required	Imperial College London	Department of Computing (incl. joint Mathematics and Computer Science), Department of Mathematics, Business School (BSc Economics, Finance and Data Science)	TMUA replaced the MAT for Mathematics from 2025 entry; both the October and January sittings are accepted, and only your first attempt counts within an application cycle.
Required	LSE	Economics, Econometrics and Mathematical Economics	Required for the core economics courses; for other quantitative programmes (such as Financial Mathematics and Statistics) a score is recommended to strengthen your application.
Required	University of Warwick	Computer Science and Mathematics courses (required); Economics and Statistics courses (recommended)	Required for Computer Science and Mathematics courses (unless you qualify for a Contextual Offer); optional but recommended for Economics, MathStat/MORSE/Data Science and similar — now covering roughly 10 courses across 4 departments. Maths applicants without a TMUA score typically receive an offer carrying an extra condition of grade 2 in any one STEP paper. For 2025 entry most offers went to applicants scoring 5.0 or above.
Required	UCL	Economics BSc (from 2027 entry)	From the 2027 entry cycle the Economics BSc requires a TMUA score; check the UCL website for requirements on other quantitative courses.
Recommended	Durham University	Mathematics, Computer Science and other quantitative courses	Optional: a TMUA score of 5.0+ automatically qualifies you for a one-grade-reduced offer (e.g. AAA → A*AA).

COMPETITIVENESS

How scores compare

G5 (Cambridge / Oxford / Imperial): third-party prep statistics suggest 6.5+ is strongly competitive and 7.0+ highly competitive; none of these universities publishes an official admitted average.
Durham: TMUA ≥5.0 automatically qualifies for a one-grade-reduced offer (A*A*A→A*AA). Warwick: required for Computer Science/Mathematics — most 2025-entry offers went to applicants on 5.0+, and Maths offers without a TMUA carry a grade-2-in-any-STEP condition.
Always check each university’s website for the latest policy — thresholds shift slightly from year to year.

ANALYSIS

Exam analysis

Scores run from 1.0 to 9.0 on a single overall scale — there is no traditional "full marks" to chase.
Each paper is 20 questions in 75 minutes; Paper 1 leans towards mathematical thinking (algebra/functions/geometry/trigonometry) while Paper 2 leans towards reasoning (proof/logic) — train for each separately.
Time management and the computer-based format materially affect performance — roughly 3.75 minutes per question. Practise recent past papers under timed conditions and build rapid recognition of the common question types.

Score distribution

Share of candidates by TMUA score band — top bands are scarce

Indicative distribution — refer to official statistics. The x-axis shows TMUA score bands and the y-axis the share of candidates; the gold line marks the typical G5 benchmark (overall score ≥7.0).

Secure your GCSE / AS-level maths foundations first, then move on to timed past-paper practice combined with mock runs in a computer-based interface. For a structured preparation pathway, see our prep guides.

FAQ

Frequently asked questions

Are both TMUA papers taken in one sitting?

Yes — the test runs as a single session of roughly 150 minutes covering both papers; whether there is a short break between papers depends on the test centre.

Can I use a calculator or dictionary?

Neither is allowed. The on-screen interface lets you flag and navigate questions but has no built-in calculator; test centres provide a whiteboard or scratch paper for working.

How should I practise for the TMUA?

Build solid foundations first, then work through past papers under timed conditions alongside computer-based mock practice — the aim is to recognise common question types quickly and settle into a steady solving rhythm. Pair this with our prep guides and practice modules.

When do results come out, and how long are they valid?

Results are released about 4–5 weeks after the test (e.g. a mid-October test means mid-November results); scores are valid for the current application cycle only and cannot be carried over to a later year.

How do my scores reach the universities?

Register for an account on the UAT-UK website (esat-tmua.ac.uk) and book your place through Pearson VUE, entering your UCAS Personal ID at registration; results are then sent automatically to the universities in your UCAS application that use the test — no manual submission needed.

FrontierVUE is an independent practice platform. It is not affiliated with or endorsed by UAT-UK, Pearson, OCR, the University of Cambridge, Imperial College London, or any official admissions-test owner.

FrontierVUE 是独立的备考练习平台，与 UAT-UK、Pearson、OCR、剑桥大学、帝国理工学院或任何官方入学考试主办方均无隶属或背书关系。

TMUA

Ready to start your TMUA prep?

Timed past-paper practice plus a computer-based mock interface — from foundations to final sprint in one place.

Start practising Prep guides

TMUA past papers online TMUA mock tests online