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How to prepare for TMUA

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Cambridge Assessment Admissions Testing - Information for test-takers - Test of Mathematics for University Admission
  • Overview
  • Test format
  • Dates and costs
  • Registration
  • Preparation
  • On the day
  • Results
  • Overview

  • Test format

  • Dates and costs

  • How to register
  • How to prepare
  • On the test day

  • Test results

Important information about TMUA 2022

Both the registration deadline and the test date are earlier than in previous years.

  • The final registration deadline is 30 September. No late registrations will be accepted after this date.
  • The test date is 18 October.

Please also note that TMUA will be a pen-and-paper test this year.

Preparing for TMUA

The focus of the Test of Mathematics for University Admission (TMUA) 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.

Test specifications 

TMUA test specification 2022  
TMUA notes on Logic and Proof (enhanced test specification) 2022

Past papers with worked answers

2021

Test of Mathematics for University Admission 2021 – Paper 1
Test of Mathematics for University Admission 2021 – Paper 2
Test of Mathematics for University Admission 2021 papers answer keys

Worked answers

Test of Mathematics for University Admission 2021 – Paper 1 hand written worked answers
Test of Mathematics for University Admission 2021 – Paper 1 worked answers
Test of Mathematics for University Admission 2021 – Paper 2 worked answers

2020

Test of Mathematics for University Admission 2020 – Paper 1 
Test of Mathematics for University Admission 2020 – Paper 2 
Test of Mathematics for University Admission 2020 papers answer keys

Worked answers  

Test of Mathematics for University Admission 2020 – Paper 1 hand written worked answers
Test of Mathematics for University Admission 2020 – Paper 1 worked answers
Test of Mathematics for University Admission 2020 – Paper 2 worked answers

2019

Test of Mathematics for University Admission 2019 – Paper 1 
Test of Mathematics for University Admission 2019 – Paper 1 answer sheet 
Test of Mathematics for University Admission 2019 – Paper 2 
Test of Mathematics for University Admission 2019 – Paper 2 answer sheet 
Test of Mathematics for University Admission 2019 papers answer keys

Worked answers  

Test of Mathematics for University Admission 2019 – Paper 1 hand written worked answers
Test of Mathematics for University Admission 2019 – Paper 1 worked answers
Test of Mathematics for University Admission 2019 – Paper 2 worked answers

2018

Test of Mathematics for University Admission 2018 – Paper 1 
Test of Mathematics for University Admission 2018 – Paper 1 answer sheet 
Test of Mathematics for University Admission 2018 – Paper 2 
Test of Mathematics for University Admission 2018 – Paper 2 answer sheet 
Test of Mathematics for University Admission 2018 papers answer keys

Worked answers

Test of Mathematics for University Admission 2018 – Paper 1 hand written worked answers   
Test of Mathematics for University Admission 2018 – Paper 1 worked answers  
Test of Mathematics for University Admission 2018 – Paper 2 worked answers

2017

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

Worked answers

Test of Mathematics for University Admission 2017 – Paper 1 hand written worked answers  
Test of Mathematics for University Admission 2017 – Paper 1 worked answers 
Test of Mathematics for University Admission 2017 – Paper 2 worked answers 

Additional papers

Specimen 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

Worked answers

Test of Mathematics for University Admission specimen paper – Paper 1 hand written worked answers 
Test of Mathematics for University Admission specimen paper – Paper 1 worked answers  
Test of Mathematics for University Admission specimen paper – Paper 2 worked answers


Practice papers

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

Worked answers

Test of Mathematics for University Admission practice paper – Paper 1 hand written worked answers 
Test of Mathematics for University Admission practice paper – Paper 1 worked answers 
Test of Mathematics for University Admission practice paper – Paper 2 worked answers

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

Introduction to the Test of Mathematics for University Admission

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

Our presenter Julian also works through some sample questions. You may find it helpful to download the questions before watching the presentation.

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