Mathematics 1
Free ESAT Mathematics 1 Practice Test
The module everyone sits: 27 questions in 40 minutes on GCSE Higher-level maths, no calculator.
27 questions · 40 minutes
Free · no sign-up · UK admissions
Free ESAT practice tests
Practise for the Engineering and Science Admissions Test (ESAT) with timed online tests for all five modules: Mathematics 1, Mathematics 2, Physics, Chemistry and Biology. Each module has 27 multiple-choice questions in 40 minutes with no calculator, as in the real test, and every answer is explained when you finish. There's also a full three-module engineering test (Maths 1, Maths 2 and Physics) that runs back to back for 2 hours.
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Mathematics 2
Free ESAT Mathematics 2 Practice Test
27 questions in 40 minutes on AS and A-level pure maths: calculus, logs, trigonometry, series and functions.
27 questions · 40 minutes
Physics
Free ESAT Physics Practice Test
27 questions in 40 minutes on mechanics, electricity, waves, thermal physics and radioactivity, no calculator.
27 questions · 40 minutes
Chemistry
Free ESAT Chemistry Practice Test
27 questions in 40 minutes on moles, energetics, rates and equilibria, bonding, electrolysis and organic chemistry.
27 questions · 40 minutes
Biology
Free ESAT Biology Practice Test
27 questions in 40 minutes on cells, genetics, enzymes, physiology, plants and ecosystems.
27 questions · 40 minutes
Full test: engineering
Free ESAT Practice Test: Engineering (Maths 1, Maths 2, Physics)
Three modules back to back, as most engineering applicants sit them: 81 questions in 2 hours, with new questions.
81 questions · 120 minutes
How the tests work
Timed like the real test
Each module has its own countdown and ends when time is up.
No calculator
As in the real test: work things out on paper.
Flag and eliminate
Mark questions for review and cross out options you've ruled out.
Marked instantly
See your score for each module, your weakest topics and a worked explanation for every question.
The real test at a glance
- Modules
- Mathematics 1 (everyone), plus two of Mathematics 2, Physics, Chemistry and Biology, depending on your course
- Each module
- 27 multiple-choice questions in 40 minutes
- Total time
- 120 minutes for most candidates (three modules)
- Calculator
- Not allowed (nor a dictionary)
- Scoring
- 1.0 to 9.0 for each module; no negative marking
- Test windows
- 12–16 October 2026 and 4–8 January 2027, at Pearson VUE test centres
Checked against the official sources below on 27 October 2026.
What our questions cover
Mathematics 1
GCSE Higher-level maths done quickly: indices and surds, equations and inequalities, ratio and proportion, percentages, straight lines, circles and trigonometry, similar shapes, probability, averages and sequences.
Mathematics 2
AS and A-level pure maths: differentiation and integration, logarithms and exponential equations, series, the binomial expansion, trigonometric equations, circles, functions, the factor theorem, the discriminant and graph transformations.
Physics
Circuits and electrical power, energy and efficiency, equations of motion, momentum, forces and moments, springs, waves, density and pressure, thermal physics, gases, radioactive decay and transformers.
Chemistry
Atomic structure and isotopes, moles and reacting masses, gas volumes, concentration and titrations, yield and empirical formulae, bond energies, rates and equilibria, electrolysis, acids and salts, hydrocarbons and bonding.
Biology
Cells and microscopy, diffusion, osmosis and active transport, mitosis and meiosis, DNA and inheritance, enzymes and respiration, circulation, hormones and the kidney, immunity, photosynthesis, transport in plants and ecosystems.
Tips for test day
- Check which modules your course needs on the UAT-UK course list: it varies by university and course, even for similar subjects.
- That's about 89 seconds a question. If one is taking much longer, flag it, move on and come back.
- Practise mental arithmetic and exact values (surds, fractions, π) because there's no calculator.
- Answer every question: a guess can't lose marks.
- After each test, redo the questions you got wrong without looking at the explanation, then read it.
More help: What is the ESAT? A complete guide, Free TMUA practice test, Physics questions with worked answers and GCSE maths questions with worked answers.
Questions
Are these official ESAT papers?
No. They are original questions written by TutorAura to the published ESAT format (27 multiple-choice questions in 40 minutes per module, no calculator). For official material, use the specimen and practice tests and the past paper archive linked from the UAT-UK website.
Which ESAT modules should I take?
Everyone takes Mathematics 1. Your other two modules depend on your course, so check the UAT-UK course list and each university's course page. Engineering courses commonly ask for Mathematics 2 and Physics; science courses may ask for Chemistry or Biology.
Do I get an ESAT score from 1 to 9?
No. UAT-UK doesn't publish how raw marks convert to the 1.0 to 9.0 scale, so we show the number of questions you got right in each module, with a breakdown by topic.
When is the next ESAT?
For 2027 entry the test windows are 12–16 October 2026 and 4–8 January 2027. Booking for the January window opens on 28 October 2026 and closes on 21 December 2026 (UK time). Check the UAT-UK key dates page, because your university may expect a particular window.
Is the ESAT harder than A-level?
The content is mostly GCSE and AS/A level, but the time pressure is the hard part: about a minute and a half per question with no calculator. Timed practice is the best way to get used to it.
Official sources
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