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 up to 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 the mathematical content in a variety of situations, some of which may be new to you. Paper 2, Mathematical reasoning, assesses your ability to deal with mathematical reasoning, and ideas from elementary logic. Make sure you check through the specification which you can find on the UAT UK websiteLink opens in a new window.

Past Paper Walkthroughs

Our Mathematics Outreach Centre Manager, Fiona Kitchen, has provided some ways of approaching selected questions below in the form of video walkthroughs and handwritten solutions. You will find videos that cover all questions from 2021 Paper 1 and Paper 2. There are also some additional questions covered and this page will continue to be added to.

The video below is a general introduction explaining what to expect from this webpage, while further down the page you will find videos covering individual questions and some handwritten solutions to selected questions.

Video Walkthroughs for Individual Questions

Below are video walkthroughs for individual past TMUA questions. We currently have videos covering all of 2021 Paper 1 and Paper 2, as well as a small number of questions from other papers. These resources will continue to be added to.

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.

Latest update: 30 October 2025 (2021 Paper 2, question 9 - revised video uploaded).

Handwritten Solutions for Individual Questions

We've also prepared some handwritten solutions of questions from 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@warwick.ac.ukLink opens in a new window to request an example of a filled in version of this worksheet.

Other TMUA Support

We offer TMUA support at certain points in the year, for example we give live online sessions for year 13 students in the lead up to each sitting of the exam, and many of the opportunities for students in year 12 also have elements of TMUA support included in them. You can see a list of the opportunities we offer on our outreach webpages, in particular there is a webpage that lists upcoming eventsLink opens in a new window.

Get in Touch

If you would like to get in touch with us then you can email maths-outreach@warwick.ac.ukLink opens in a new window

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.