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TMUA

TMUA preparation and private tutoring

The TMUA is an admission test of mathematical thinking and reasoning used for mathematics, computer science and economics programmes. We work on proof-based thinking under time pressure.

PAPER 1Applying knowledgePAPER 2Reasoningp ⇒ q¬q ⇒ ¬p2 × 20 questions2 × 75 min

TMUA exam structure

Test of Mathematics for University Admission · Compiled from official sources as of October 2026.

PaperQuestionsTimeFocus
Paper 12075 minApplying mathematical knowledge
Paper 22075 minMathematical reasoning

Content is at GCSE Higher and AS-level maths standard. The test is taken on computer at a test centre; calculators are not allowed.

Scoring and test dates

Scoring

  • A single overall score from 1.0 to 9.0, to one decimal place.
  • There is no pass mark; wrong answers don't lose points.

Test dates

  • For 2027 entry: sitting 1, 12–16 October 2026; sitting 2, 4–8 January 2027.
  • Registration for the January sitting: 26 October – 21 December 2026.
  • Cambridge and Oxford applicants must take the October sitting.

Latest updates

  • Run by UAT-UK since October 2024.
  • From 2027 entry, Oxford uses the TMUA for its mathematics and computer science programmes.

Our preparation route

Mathematical Thinking · Reasoning · Problem Solving

  1. 01

    Applying knowledge

    We use familiar mathematics flexibly in unfamiliar question settings.

  2. 02

    Mathematical reasoning

    We work on statements, necessary and sufficient conditions, and logical deduction.

  3. 03

    Solution efficiency

    We compare approaches and select controlled, economical routes to an answer.

Content review is integrated with mathematical reasoning and timed problem sets. Errors are examined through assumptions and solution paths, not only final answers.

TMUA frequently asked questions

Does TMUA test advanced content or reasoning?

It tests the application of defined mathematical content to unfamiliar contexts alongside mathematical logic; both must be practised together.

Is syllabus review enough for TMUA?

Generally no. Content command needs to be paired with logic principles, unfamiliar problem designs and timed practice.

Does my target university require TMUA?

Requirements vary. Always check the official course page for the relevant application cycle.

How many questions and how long is the TMUA?

40 multiple-choice questions in 2 hours 30 minutes.

How is the TMUA scored?

A single overall score from 1.0 to 9.0 to one decimal place. Wrong answers are not penalised.

When is the TMUA held?

For 2027 entry the sittings are 12–16 October 2026 and 4–8 January 2027. Cambridge and Oxford applicants must sit in October.

Exam structure, scope, dates and registration requirements may change. Confirm the latest information for your application cycle with the official exam provider and your target institution. Last updated: October 2026.