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TMUA Practice Papers
Access free official TMUA past papers to prepare for mathematics and computer science admissions at Oxford (2027 entry onwards), Cambridge, Durham, LSE, and other top UK universities.
* All papers link directly to official examination board websites
About the TMUA
Test of Mathematics for University Admission - Oxford (2027+), Cambridge, Durham, LSE & more
Paper 1: Applications of Mathematical Knowledge
75 minutes, 20 multiple-choice questions. Tests applications of mathematics and mathematical thinking using A-Level knowledge.
Paper 2: Mathematical Reasoning
75 minutes, 20 multiple-choice questions. Tests mathematical reasoning and proof, logical deduction, and argument analysis.
Oxford Courses Requiring TMUA (2027 Entry+)
Mathematics, Maths & Statistics, Maths & Computer Science, and Computer Science. Replaces the MAT from October 2026 applications.
Available TMUA Practice Papers
| Paper | Year | Action |
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TMUA Early Specimen Paper 1
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N/A | |
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TMUA Early Specimen Paper 1 Worked Answers
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N/A | |
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TMUA Early Specimen Answer Key
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N/A | |
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TMUA Early Specimen Paper 2 Worked Answers
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N/A | |
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TMUA Early Specimen Paper 2
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N/A | |
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TMUA 2023 Answer Key
Year: 2023
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2023 | |
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TMUA 2023 Paper 2 Worked Answers
Year: 2023
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2023 | |
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TMUA 2023 Paper 2
Year: 2023
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2023 | |
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TMUA 2023 Paper 1 Worked Answers
Year: 2023
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2023 | |
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TMUA 2023 Paper 1
Year: 2023
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2023 | |
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TMUA 2022 Answer Key
Year: 2022
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2022 | |
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TMUA 2022 Paper 2 Worked Answers
Year: 2022
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2022 | |
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TMUA 2022 Paper 2
Year: 2022
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2022 | |
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TMUA 2022 Paper 1 Worked Answers
Year: 2022
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2022 | |
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TMUA 2022 Paper 1
Year: 2022
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2022 | |
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TMUA 2021 Answer Key
Year: 2021
|
2021 | |
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TMUA 2021 Paper 2 Worked Answers
Year: 2021
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2021 | |
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TMUA 2021 Paper 2
Year: 2021
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2021 | |
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TMUA 2021 Paper 1 Worked Answers
Year: 2021
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2021 | |
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TMUA 2021 Paper 1
Year: 2021
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2021 | |
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TMUA 2020 Paper 1
Year: 2020
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2020 | |
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TMUA 2020 Paper 1 Worked Answers
Year: 2020
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2020 | |
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TMUA 2020 Paper 2
Year: 2020
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2020 | |
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TMUA 2020 Paper 2 Worked Answers
Year: 2020
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2020 | |
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TMUA 2020 Answer Key
Year: 2020
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2020 | |
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TMUA 2019 Paper 2
Year: 2019
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2019 | |
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TMUA 2019 Answer Key
Year: 2019
|
2019 | |
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TMUA 2019 Paper 2 Worked Answers
Year: 2019
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2019 | |
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TMUA 2019 Paper 1 Worked Answers
Year: 2019
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2019 | |
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TMUA 2019 Paper 1
Year: 2019
|
2019 | |
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TMUA 2018 Answer Key
Year: 2018
|
2018 | |
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TMUA 2018 Paper 2 Worked Answers
Year: 2018
|
2018 | |
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TMUA 2018 Paper 2
Year: 2018
|
2018 | |
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TMUA 2018 Paper 1 Worked Answers
Year: 2018
|
2018 | |
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TMUA 2018 Paper 1
Year: 2018
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2018 | |
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TMUA 2017 Answer Key
Year: 2017
|
2017 | |
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TMUA 2017 Paper 2 Worked Answers
Year: 2017
|
2017 | |
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TMUA 2017 Paper 2
Year: 2017
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2017 | |
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TMUA 2017 Paper 1 Worked Answers
Year: 2017
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2017 | |
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TMUA 2017 Paper 1
Year: 2017
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2017 | |
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TMUA 2016 Paper 2
Year: 2016
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2016 | |
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TMUA 2016 Paper 1
Year: 2016
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2016 | |
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TMUA 2016 Answer Key
Year: 2016
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2016 | |
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TMUA 2016 Paper 2 Worked Answers
Year: 2016
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2016 | |
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TMUA 2016 Paper 1 Worked Answers
Year: 2016
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2016 |
Frequently Asked Questions
What is the TMUA and which universities use it?
The TMUA (Test of Mathematics for University Admission) is now used by Oxford (from 2027 entry), Cambridge, Durham, LSE, Warwick, Sheffield, Southampton, and other universities for mathematics and related courses.
Why is Oxford now using the TMUA?
Oxford announced in January 2026 that it would replace its in-house MAT (Mathematics Admissions Test) with the TMUA for 2027 entry onwards. From October 2026 applications, Oxford Mathematics, Maths & Statistics, Maths & Computer Science, and Computer Science all require TMUA.
What is the format of the TMUA?
The TMUA consists of two 75-minute papers, each with 20 multiple-choice questions. Paper 1 tests mathematical thinking and applications. Paper 2 tests mathematical reasoning and proof. Both papers cover A-Level content.
What is a good TMUA score?
TMUA scores range from 1.0 to 9.0. A score of 6.5+ is generally considered strong. For Oxford and Cambridge, scores above 7.0 are competitive. However, the TMUA is just one part of your application.
Are MAT past papers useful for TMUA preparation?
Yes, MAT past papers are excellent preparation as they test advanced mathematical reasoning at a similar level. The problem-solving and proof skills developed through MAT practice are directly transferable to TMUA.
How should I prepare for the TMUA?
Practice with TMUA and MAT past papers under timed conditions. Focus on mathematical reasoning and proof techniques for Paper 2. Time management is crucial - practice answering questions quickly and accurately.
Need Help With Your Application?
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