University and Careers

Test for Mathematics for University Admission

Introduction to the Test of Mathematics for University Admission

The Test of Mathematics for University Admission is designed to give you the opportunity to demonstrate that you have the essential mathematical thinking and reasoning skills needed for a demanding undergraduate Mathematics or Mathematics-related course.

This presentation provides information about the Test of Mathematics for University Admission and advice on how to approach the test.

You may find it helpful to download the questions before watching the presentation.

As you can decide if you want to share you results with universities or not after you have received them, the test gives you a risk-free opportunity to prove your potential, and in some cases to receive a reduced offer.

You’re encouraged to take TMUA when applying to study Mathematics or Mathematics-related courses such as Economics and Computer Science at certain universities. In most cases, the test is not compulsory, however a good performance on this test may result in a reduced offer.

The universities below accept results from the test and the full list of courses can be found in our Courses accepting TMUA document.

Please visit the universities’ websites for more information. A full list of courses requiring the test may be found here.

For:Mathematics courses.
Used by:Durham UniversityLancaster University,  University of Warwick,  University of Sheffield,  University of Southampton and LSE. (Nottingham University also take it in to account).
Registration by:1st October 2020 (Opens 1st September)
Test Date:4th November 2020
Fee:£33
Test Location:School (tbc)
Results:30th November 2020

Test format

The Test of Mathematics for University Admission is 2 hours 30 minutes long. It has two papers which are taken consecutively.

PaperWhat does it test?QuestionsTiming
Paper 1: Mathematical ThinkingFocuses on assessing your ability to apply your knowledge of mathematics in new situations.20 multiple-choice questions75 minutes
Paper 2: Mathematical ReasoningFocuses on assessing your ability to justify and interpret mathematical arguments and conjectures, and deal with elementary concepts from logic.20 multiple-choice questions75 minutes

No calculators or dictionaries are allowed.

How to register

You cannot register yourself for the test – you must be registered by a centre. 

Preparing for the Test of Mathematics for University Admission

The focus of the Test of Mathematics for University Admission is on mathematical thinking.

It uses mathematics you will have already learned in your school studies, so there is no need to take a preparation course or to do much preparation beyond familiarising yourself with the test format and style of questions. We recommend that you read the test specification and notes on Logic and Proof and answer the question papers below under timed test conditions.

TMUA scoring

There is no pass/fail for the Test of Mathematics for University Admission (TMUA) – you should simply aim to do the best you can.

Your final scores are based on the number of correct answers you give. There are no penalties for incorrect answers.

Your score on the test will be based on your overall performance on both papers and will be given on a scale of 1.0 to 9.0, with 1.0 being the lowest and 9.0 the highest. You will also be given a score for each of the two papers that make up the test, both on the 1.0 to 9.0 scale, but these two scores are for information only and do not form part of your formal test result.

The full list of degrees which will take the scores for the TMUA into account can be found when candidates log on to Metritests to check their scores and allocate them to the University.

TMUA results

Results will be released at 0900 UK time on 30 November 2020.

Test-takers can use our Metritests system to check results and release them to their chosen institution(s) using the login details from your Confidential Results Information sheet.

Results are not sent to institutions automatically. You need to select which institutions receive your results. This can be done at any stage after purchasing the test, though you may want to wait till results are released if sharing results is optional for that course/institution. It’s a good idea to make your selection(s) as soon as possible after the results are released, to ensure the institutions receive them in good time. Please check the institution website for any information about when they need the results.

Please only share results with institutions/courses to which you have already applied or intend to apply via UCAS. Shared results that are not supported by a UCAS application will not be considered by any UK institutions.

How do I access my results and release them to selected institutions?

Follow three easy steps:
  1. Go to your Metritests account (log in details are on the Confidential Results Information sheet you will be given at the end of the test).
  2. Click on the test inside your Metritests account and select the ‘Share Results’ option.
  3. Select the institution(s) you want to receive your results using the dropdown under ‘Institution Name’, then the degree(s) from the dropdown under ‘Course Details’, then click save. The institution will then automatically have access to your results once they are released.

    If you do not make your selection using the Metritests system, your test results will not be provided to the institution.

Before results are released on 30 November, you can add or remove selected institutions. After this, once your results have been published, you cannot remove an institution or course from the results website – the institution(s) will instantly receive your results – but you can add further institutions.

Explanation of Results

See the most recent explanation:
Explanation of Results 2019

Explanations of previous years’ results:
Explanation of Results 2018
Explanation of Results 2017
Explanation of Results 2016

If you have more questions about results, go to the FAQs.

Test specifications

Test of Mathematics for University Admission test specification
Test of Mathematics for University Admission notes on Logic and Proof (enhanced test specification)

Practice papers

Test of Mathematics for University Admission specimen paper – Paper 1
Test of Mathematics for University Admission specimen paper – Paper 2
Test of Mathematics for University Admission specimen papers answer keys

Test of Mathematics for University Admission practice paper – Paper 1
Test of Mathematics for University Admission practice paper – Paper 1 answer sheet
Test of Mathematics for University Admission practice paper – Paper 2
Test of Mathematics for University Admission practice paper – Paper 2 answer sheet
Test of Mathematics for University Admission practice papers answer keys

Please note, the practice papers above were the 2016 test papers, but the timing allowed for each section has been changed to 75 minutes.

Test of Mathematics for University Admission 2017 – Paper 1
Test of Mathematics for University Admission 2017 – Paper 1 answer sheet
Test of Mathematics for University Admission 2017 – Paper 2
Test of Mathematics for University Admission 2017 – Paper 2 answer sheet
Test of Mathematics for University Admission 2017 papers answer keys

TMUA home page.