TMUA – Test of Mathematics for University Admission
The TMUA is the admissions test for Mathematics, Computer Science and Economics degrees at Oxford, Cambridge, Imperial, LSE, Warwick, Durham and UCL. It is a multiple choice test with two papers of 75 minutes each, sat at a Pearson VUE test centre in October or January.
You can work through past TMUA questions with video solutions in this free Mathsaurus course. The old MAT short-answer questions are also excellent practice for TMUA Paper 1.
TMUA Past Papers
All papers and official solutions below are from the UAT-UK preparation materials page. The TMUA content specification details exactly what is covered in each paper. Note that the 2024 and 2025 papers have not been publicly released.
| Paper 1 | Paper 2 | Answer Key | |
| TMUA 2023 | Paper | Solutions | Paper | Solutions | Key |
| TMUA 2022 | Paper | Solutions | Paper | Solutions | Key |
| TMUA 2021 | Paper | Solutions | Paper | Solutions | Key |
| TMUA 2020 | Paper | Solutions | Paper | Solutions | Key |
| TMUA 2019 | Paper | Solutions | Paper | Solutions | Key |
| TMUA 2018 | Paper | Solutions | Paper | Solutions | Key |
| TMUA 2017 | Paper | Solutions | Paper | Solutions | Key |
| TMUA 2016 | Paper | Solutions | Paper | Solutions | Key |
| Specimen Paper | Paper | Solutions | Paper | Solutions | Key |
Want some ideas of books to read to prepare for undergraduate maths? Take a look at the page here!

