ESAT past papers
Official Mathematics 1 questions
187 questions
From 16 ENGAA and NSAA papers, 2016 to 2023, each with answers.
Official ESAT practice
Real ESAT papers are not released. These run in Pearson's test player, on a desktop.
- Specimen testExplained answers, no score
- Practice test27 questions, 40 minutes
- ESAT Guide: Mathematics 1UAT-UK's own content guide
ENGAA and NSAA past papers
The papers ESAT replaced. Counts leave out questions UAT-UK marks as off the ESAT syllabus.
- ENGAA 2023Part A Mathematics and Physics, Part B Advanced Mathematics and Advanced Physics · 12 questions
- NSAA 2023Part A Mathematics · 20 questions
- ENGAA 2022Part A Mathematics and Physics, Part B Advanced Mathematics and Advanced Physics · 11 questions
- NSAA 2022Part A Mathematics · 20 questions
- ENGAA 2021Part A Mathematics and Physics · 10 questions
- NSAA 2021Part A Mathematics · 20 questions
- ENGAA 2020Part A Mathematics and Physics · 10 questions
- NSAA 2020Part A Mathematics · 20 questions
- ENGAA 2019Part A Mathematics and Physics · 10 questions
- NSAA 2019Part A Mathematics · 18 questions
- ENGAA 2018Part A Mathematics and Physics · 14 questions
- NSAA 2018Part A Mathematics · 18 questions
- ENGAA 2017Part A Mathematics and Physics · 14 questions
- NSAA 2017Part A Mathematics · 18 questions
- ENGAA 2016Part A Mathematics and Physics · 14 questions
- NSAA 2016Part A Mathematics · 18 questions
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Questions people ask
Are there real ESAT past papers?
No. UAT-UK has not released any real ESAT paper. It publishes one specimen and one practice test per module on Pearson, and links the 2016 to 2023 ENGAA and NSAA papers as practice.
Are ENGAA and NSAA papers still useful for the ESAT?
Yes. UAT-UK says they contain questions of the type found in the ESAT and marks the ones outside the specification. Use them for topic practice and save the Pearson practice test for a final timed run.
Do the papers have answers?
Every ENGAA and NSAA paper has an official answer key. The Pearson specimen tests explain each answer. None of them gives a score.
How long should each question take?
The ESAT gives 27 questions in 40 minutes per module, about 89 seconds each. Time old papers at that pace.
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How we work this out
What it does
Every official ESAT practice test and the ENGAA and NSAA papers it replaced, sorted by ESAT module, each linked to UAT-UK's own file.
Official ESAT material only: UAT-UK's specimen and practice tests on Pearson, its content guides, and the ENGAA and NSAA Section 1 papers from 2016 to 2023 that UAT-UK links for the ESAT.
Method
- We read UAT-UK's ESAT preparation page and Pearson's UAT-UK page on 4 October 2026 and opened every file link.
- Every ENGAA and NSAA question is placed in one ESAT module and topic (the same map as our free past-paper practice). A paper's count is its questions in your module.
- Questions UAT-UK crosses out as outside the ESAT specification are left out. A question printed in both ENGAA and NSAA in the same year counts once in the total.