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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.
For test-takers who are required to take the Cambridge Test of Mathematics for University Admission (CTMUA), you can use the preparation materials provided for the Test of Mathematics for University Admission. Both tests have the same format, however for those applying to the University of Cambridge, please refer to the CTMUA webpage for details about test dates, costs and how to register.
Test specifications
TMUA test specification October 2019 TMUA notes on Logic and Proof (enhanced test specification) October 2019
Please note: The 2020 TMUA test specification will be released later this year. Please check back for updates.
Past papers with worked answers
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
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
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
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
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
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.
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.
