TMUA past papers and specimen papers
The official TMUA papers are published by UAT-UK. We link to their copies rather than host them, so you always get the current versions. Use them as timed papers once you have worked through the topics; use our own questions and the timed paper simulator for extra practice.
Work in this order: read the specification and the Notes on Logic and Proof, practise topic by topic with the notes on this site, then sit the specimen and past papers under timed conditions (75 minutes per paper, no calculator), and review every question you got wrong. Links were checked in September 2026.
About the test
- TMUA: about the test (UAT-UK)
- Dates and deadlines (UAT-UK)
- Registering for a test (UAT-UK)
- Test results and scoring (UAT-UK)
- Test day (UAT-UK)
Specification and official notes
- TMUA Content Specification (for October 2026 and January 2027) (PDF)
- Notes on Logic and Proof (Paper 2), June 2025 (PDF)
- Notes on Mathematics for TMUA Paper 1 and ESAT (PDF)
Specimen and past papers
UAT-UK publishes the specimen papers, the practice tests (in the Pearson test player) and the historic papers from 2016 onwards with answer keys and worked answers. The test is now on screen but UAT-UK states the content and question style are unchanged, so the historic papers remain good practice.
- TMUA preparation materials: specimen tests, practice tests and past papers (UAT-UK)
- Early specimen Paper 1 (PDF)
- Early specimen Paper 1: worked answers (PDF)
- Early specimen Paper 2 (PDF)
- Early specimen papers: answer keys (PDF)
- 2023 Paper 2: worked answers (PDF)
- 2022 Paper 2: worked answers (PDF)
What universities say
- University of Cambridge: TMUA
- LSE: TMUA
- University of Warwick: TMUA support and links
- Imperial College London: TMUA
Back to TMUA preparation · Start with Indices and surds
TMUA is run by UAT-UK. A Level Math Revision is independent: it is not affiliated with or endorsed by UAT-UK, Pearson VUE or any university. Every question here is our own.