TMUA Past Paper Questions

Students applying to mathematically demanding courses such as Computer Science, Economics and Mathematics may be required to take the TMUA (Test of Mathematics for University Admission), which tests candidates’ logical reasoning, fluency with algebra and functions and precision and accuracy.

The TMUA is a computer-based test and lasts 2 hour 30 minutes in total. It is divided into two parts, each comprising 20 multiple choice questions:

• Applications of Mathematical Knowledge

• Mathematical Reasoning

Questions across both papers carry equal weightage. Calculators are not permitted and there is no formula booklet. Candidates are tested on speed, judgment and reasoning, and there is no negative marking for wrong answers.

TMUA Content Specification

The TMUA is scored from 1.0 to 9.0, with 5.4 being the average in previous years. The scale is designed such that approximately a third of candidates will score above 6.5. Therefore, applicants to top universities should score above 7.0 to be competitive.

TMUA Past Papers

Specimen Paper 1 - Question Paper

Specimen Paper 2 - Question Paper

2023 TMUA Paper 1 - Question Paper

2023 TMUA Paper 2 - Question Paper

2022 TMUA Paper 1 - Question Paper

2022 TMUA Paper 2 - Question Paper

2021 TMUA Paper 1 - Question Paper

2021 TMUA Paper 2 - Question Paper

2020 TMUA Paper 1 - Question Paper

2020 TMUA Paper 2 - Question Paper

2019 TMUA Paper 1 - Question Paper

2019 TMUA Paper 2 - Question Paper

2018 TMUA Paper 1 - Question Paper

2018 TMUA Paper 2 - Question Paper

2017 TMUA Paper 1 - Question Paper

2017 TMUA Paper 2 - Question Paper

2016 TMUA Paper 1 - Question Paper

2016 TMUA Paper 2 - Question Paper

Other Resources

TMUA Notes on Logic and Proof

Notes on Mathematics for TMUA Paper 1 and ESAT Mathematics 2

TMUA Worked Solutions

Specimen Paper 1 - Worked Solutions

Specimen Paper 2 - Worked Solutions

2023 TMUA Paper 1 - Worked Solutions

2023 TMUA Paper 2 - Worked Solutions

2022 TMUA Paper 1 - Worked Solutions

2022 TMUA Paper 2 - Worked Solutions

2021 TMUA Paper 1 - Worked Solutions

2021 TMUA Paper 2 - Worked Solutions

2020 TMUA Paper 1 - Worked Solutions

2020 TMUA Paper 2 - Worked Solutions

2019 TMUA Paper 1 - Worked Solutions

2019 TMUA Paper 2 - Worked Solutions

2018 TMUA Paper 1 - Worked Solutions

2018 TMUA Paper 2 - Worked Solutions

2017 TMUA Paper 1 - Worked Solutions

2017 TMUA Paper 2 - Worked Solutions

2016 TMUA Paper 1 - Worked Solutions

2016 TMUA Paper 2 - Worked Solutions