Successful ESAT preparation comes down to three things: mastering the test format, practising under timed conditions and developing the problem-solving skills needed to answer difficult questions quickly and accurately. While a strong grasp of mathematics and science is essential, the students who achieve the highest scores are typically those who know how to apply that knowledge efficiently under pressure.
That can feel daunting, particularly because the ESAT is still relatively new. Unlike older admissions tests, there aren’t decades of past papers to work through, and many students aren’t quite sure where to start. Should you focus on revising content? Practising questions? Learning exam technique? Or all three?
In this guide, we’ll walk through everything you need to know about the ESAT, from understanding the test format and choosing the right preparation materials to using former admissions tests such as the NSAA and ENGAA. We’ll also look at what a competitive ESAT score looks like and share practical advice from The Profs’ ESAT Tutors on how to maximise your performance.
How to Prepare for the ESAT
- 1. Start with the ESAT Specification
- 2. Use ENGAA and NSAA Past Papers
- 3. Strengthen Your Mental Maths
- 4. Use UKMT Questions to Build Problem-Solving Skills
- 5. Define What a Good ESAT Score is
- 6. Connect with a Professional ESAT Tutor
1. Start With the ESAT Specification
Before diving into practice questions, spend some time reviewing the official ESAT specification.
It might not sound particularly exciting, but the specification provides a clear roadmap for your preparation. It outlines the topics that may be assessed in each module and helps ensure you’re revising the right material from the outset.
The ESAT covers five subject areas:
- Mathematics 1.
- Mathematics 2.
- Physics.
- Chemistry.
- Biology.
Every candidate sits Mathematics 1, while the remaining modules depend on the course they are applying for. An Engineering applicant, for example, will typically sit Mathematics 1, Mathematics 2 and Physics, while a Cambridge Natural Sciences applicant may take Mathematics 1 alongside Chemistry or Physics.
Understanding the modules relevant to your chosen course allows you to focus your preparation where it matters most. It also helps you identify any gaps in your knowledge early, giving you plenty of time to address them before the exam.
As you work through the specification, make a note of topics you find particularly challenging. These areas should become priorities in your revision plan.
2. Use ENGAA and NSAA Past Papers
One challenge faced by today’s applicants is that the ESAT is still a relatively new admissions test.
While official specimen papers and sample tests are available, there simply aren’t as many ESAT-specific resources as there were for older admissions tests. Fortunately, that doesn’t mean you’re short of high-quality practice material.
Former Cambridge admissions tests, particularly the ENGAA and NSAA, remain some of the best preparation resources available.
Although the format is not identical, many of the underlying skills are remarkably similar. Both tests assess mathematical reasoning, scientific problem-solving and the ability to apply familiar concepts in unfamiliar situations. As a result, they provide excellent preparation for the style of thinking required in the ESAT.
When using ENGAA past papers or past NSAA papers, don’t worry if your scores initially seem low. Most students find these questions difficult when they first encounter them.
Instead, focus on identifying patterns:
- Which question types appear repeatedly?
- Which topics cause the most difficulty?
- Where are you losing the most time?
This approach turns every paper into a learning opportunity rather than simply a score check.
3. Strengthen Your Mental Maths
Before worrying about advanced problem-solving techniques, it’s worth taking a step back and thinking about something much more fundamental: your mental maths.
Each ESAT module contains 27 multiple-choice questions completed in just 40 minutes, giving candidates less than 90 seconds per question on average.
One of the quickest ways to lose time in the ESAT is to spend too long on calculations that should be relatively straightforward.
Ask yourself: can you multiply quickly in your head? Do you have reliable methods for dividing numbers, multiplying fractions or simplifying calculations mentally?
Many students assume the answer is yes. In reality, years of relying on calculators often mean their mental arithmetic isn’t quite as strong as they think. By the time students reach sixth form, most calculations are done electronically. As a result, mental maths becomes a skill that slowly falls out of practice.
The good news is that it can be improved fairly quickly through regular practice:
Learn Your Square Numbers
One of the simplest ways to strengthen your mental maths is to memorise your square numbers from 1² to 30².
At first glance, this might not sound particularly exciting. After all, most students preparing for the ESAT are expecting advice about difficult Physics concepts or advanced Mathematics.
However, knowing your square numbers can save a surprising amount of time.
Imagine you’re working through a question and need to calculate 19². If you immediately recognise that the answer is 361, you can move straight on to solving the problem. If you have to stop and work it out manually, you’re spending valuable time on arithmetic rather than the question itself.
That might not seem important in isolation. However, if this happens several times throughout a paper, those small delays begin to add up.
More importantly, they often occur on questions you already know how to answer. The last thing you want is to lose time on straightforward calculations and then find yourself rushing through the genuinely difficult questions later in the paper.
The goal is simple: save as much time as possible on the questions you can answer comfortably so that you have more time available for the questions that require deeper thinking and creativity.
Learn to Manipulate Algebraic Expressions Mentally
When you see an equation, you should aim to perform two or three algebraic steps in your head before writing anything down.
Can you rearrange the equation immediately?
Can you spot which variables will cancel?
Can you identify the quickest route to the answer?
These skills are incredibly valuable because many ESAT questions are challenging for a different reason than students expect.
The difficulty is often not the mathematics itself; instead, the challenge comes from having to rearrange expressions quickly and accurately while working under significant time pressure. Even students who understand the underlying concepts can make mistakes when they are forced to complete several stages of algebra at speed.
For this reason, students who become comfortable manipulating algebraic expressions mentally often have a major advantage. Not only do they work faster, but they also free up valuable time for the questions that genuinely require deeper reasoning.
A bonus tip from one of our top ESAT tutors:
“It’s best to remember different expressions for various physics phenomena, or even mathematical ones if needed. For example, the energy stored in a spring is typically written as ½kx², but it can also be written as ½ × force × extension, or alternatively as ½F²/k, which you probably won’t have seen used very often, if at all, during your school studies.
Why might one of these be useful over the other? Well, it really depends on the question. If they give you the force and the spring constant, then using ½F²/k makes much more sense straight away rather than trying to find x using F/k, substitute that into the equation and then work through all of the maths and multiplication.
It’s much easier if you can remember different expressions for the same thing and then substitute the numbers you’re given as required. This can save a lot of time and puts you in a much better position to spend more time on the questions you genuinely find tricky later on.“
– Daniel
Engineering and Science Admissions Tutor | University of Cambridge (MSci Natural Sciences) | 6+ Years of Tutoring Experience
Practise Manipulating Numbers
Many students assume there is only one way to perform a multiplication. In practice, there are often shortcuts available if you’re willing to manipulate the numbers slightly.
For example, consider:
16 × 4
Some students find this calculation awkward because they don’t know the 16 times table particularly well.
However, you can think about the same calculation differently.
If you halve 16 and double 4, you get:
8 × 8
Most students immediately recognise that 8 × 8 = 64.
The answer hasn’t changed, but the calculation has become much easier.
As you practise more mental arithmetic, you’ll begin to recognise which numbers you work with comfortably and which numbers tend to slow you down. Once you understand that, you can start manipulating expressions into forms that are easier for you to calculate. Over time, these calculations becomes second nature.
Work With Prime Factors Before Large Numbers
On that note, it’s worth working in small numbers in the ESAT. As calculations become more complicated, another useful habit is to think in terms of prime factors rather than large numbers.
Imagine you’re faced with a calculation such as 307 × 15. While these numbers aren’t enormous, they’re large enough to make mental arithmetic difficult and increase the risk of mistakes. Rather than immediately multiplying everything out, look for opportunities to break numbers down into smaller, more manageable parts.
Here’s another example. If you see 16, you can immediately rewrite it as:
16 = 2 × 2 × 2 × 2 = 2⁴
Now imagine you’re dividing that by another number that has also been written in terms of its prime factors. Because everything has been broken down into twos, threes, fives and other smaller factors, it’s much easier to see which terms cancel.
Take:
16 ÷ 46
Rather than working with the larger numbers directly, you can simplify the fraction first:
16/46 = 8/23
Likewise, if you have:
16 ÷ 64
you can write this as:
2⁴ ÷ 2⁶
which immediately simplifies to:
1 ÷ 2² = 1/4
By finding these cancellations early, you avoid having to work with large numbers altogether. Instead of multiplying, dividing and simplifying at the end, you’re simplifying as you go.
This makes calculations faster, but perhaps more importantly, it makes them more accurate. Students tend to make more mistakes when they’re dealing with larger numbers under pressure. Working with prime factors keeps the arithmetic manageable and helps you reach the answer more efficiently.
As a general rule, try to look for cancellations sooner rather than later. The earlier you simplify an expression, the less work you’ll have to do further down the line, and the more likely you are to arrive at the correct answer.
Looking for more ESAT tips and strategies? Our team can personally match you with one of our specialist Admissions Test Tutors, who will work with you in the run-up to the ESAT and help you develop the skills and exam technique needed to perform at your best on test day.
4. Use UKMT Questions to Build Problem-Solving Skills
While past papers should remain the backbone of your preparation, they aren’t the only resource worth using. We recommend incorporating questions from the UK Mathematics Trust (UKMT) into your revision programme as part of your wider test preparation strategy.
Although these questions weren’t designed specifically for the ESAT, they develop many of the same skills required across various sections of the ESAT. In particular, they encourage students to:
- Think creatively.
- Spot patterns quickly.
- Apply familiar concepts in unfamiliar situations.
- Work efficiently under time pressure.
These are precisely the skills that the ESAT rewards.
In fact, many UKMT questions require even more creativity than typical ESAT questions, which makes them an excellent training ground. By learning to solve problems that are often more demanding than those you’ll encounter when you take the test, you’ll often find ESAT questions feel more approachable by comparison!
The Senior Mathematical Challenge is particularly useful for applicants taking Mathematics 1 or Mathematics 2. The first 10-15 questions in these papers are often accessible to strong Year 12 students while still requiring the kind of logical reasoning seen in admissions tests
- For Physics questions: Isaac Physics, British Physics Olympiad, and Professor Povey’s Perplexing Problems.
- For Chemistry questions: Cambridge Chemistry Challenge.
- For Biology questions: British Biology Olympiad.
5. Define What a Good ESAT Score is
The first full admissions cycle using the ESAT provides some useful context for interpreting scores. According to the official 2025/26 ESAT results data published by UAT-UK, most candidates scored between 4.0 and 5.0 across all five subtests. However, the exact distribution varied by subtest.
In Mathematics 1, the most common score was 4.5, with a large proportion of candidates also scoring between 4.0 and 5.0. Mathematics 2 was similarly concentrated around the middle of the scale, with scores of 4.0 and 5.0 proving particularly common.
Physics displayed the broadest distribution, with peaks at 3.5 and 4.5 and a noticeable proportion of candidates scoring 5.5, suggesting greater variation in performance than in the mathematics modules.
Chemistry was heavily concentrated between 3.0 and 5.5, with 4.0 emerging as the single most common score. Biology showed a similar pattern, with the largest proportion of candidates scoring between 4.0 and 5.0.
Overall, the data suggests that a score in the mid-4s represents the performance of a typical applicant. Scores above 5.0 are generally above average, while scores of 6.0 and above place candidates among the stronger performers in the cohort.
The results also show that very high scores are relatively uncommon. Across all four modules, only a small proportion of candidates achieved scores above 7.0, while scores of 8.0+ were rare and scores of 9.0 were achieved by only a handful of applicants.
| ESAT Score | Interpretation |
|---|---|
| 3.0–4.0 | Below average |
| 4.0–5.0 | Around average |
| 6.0–7.0 | Strong |
| 7.0+ | Excellent |
For students targeting highly competitive universities, our experienced ESAT Tutors provide personalised support throughout the preparation process. From identifying areas of weakness to refining exam technique, our experts will help you maximise your test score.
6. Connect with a Professional ESAT Tutor
While there is no shortcut to success, targeted preparation can help you focus on the areas that will have the greatest impact on your score. Rather than spending months wondering which topics to prioritise or which resources to use, many students benefit from working with someone who understands the test inside out.
At The Profs, our specialist ESAT tutors help students prepare for some of the most competitive STEM courses in the UK, including Engineering, Natural Sciences, Physics and Chemistry programmes at Oxford, Cambridge, Imperial College London and UCL. Remarkably, our network of Admissions Tutors boasts a +95% success rate for getting students into their first or second-choice university.
Our tutors provide personalised support tailored to your strengths, weaknesses and target universities. Depending on your needs, this may include:
- An initial diagnostic assessment.
- Building a structured ESAT preparation plan.
- Reviewing the ESAT specification and syllabus.
- Working through practice questions, past papers and ESAT mock tests.
- Developing exam technique and time management.
- Preparing for the wider admissions process.
Many of our tutors have studied at Oxford, Cambridge and Imperial themselves, giving them first-hand experience of the challenges applicants face. Whether you’re just starting your preparation or looking to push an already strong score even higher, expert guidance can help you approach the exam with greater confidence and clarity.
Alongside admissions test preparation, our A-Level Tutors can help you achieve the grades needed to meet competitive offer requirements. Remarkably, 68% of our surveyed students achieved an A* or A grade in 2025, which is 2.5x the national average!
ESAT Test Preparation: Frequently Asked Questions:
When should I start preparing for the ESAT?
Most students benefit from starting their ESAT preparation during Year 12. Beginning early gives you time to familiarise yourself with the test format, revise relevant topics and develop the speed required to perform well under timed conditions.
What is UAT UK?
UAT UK (University Admissions Tests UK) administers a range of admissions assessments used by universities across the United Kingdom. The ESAT is one of several tests delivered through the UAT platform as part of the university and college admission process.
Is the ESAT similar to the University Clinical Aptitude Test (UCAT)?
Although both are university admissions tests, the ESAT and University Clinical Aptitude Test (UCAT) assess very different skills. The ESAT focuses on mathematics and science knowledge for STEM courses, while the UCAT is used primarily for Medicine and Dentistry admissions.
Where can I find free ESAT resources?
There are several free resources available for students preparing for the ESAT. The official ESAT website provides preparation materials, sample questions and guidance documents to help candidates understand the test format. In addition, the new ESAT guide is now available via UAT UK, giving applicants a clear overview of what to expect when sitting the ESAT and how to approach their revision.
Are there official ESAT practice tests available?
Yes. UAT UK provides official practice tests, specimen tests and preparation materials for students who want to familiarise themselves with the exam. Completing a full practice test is one of the best ways to assess your progress, while a regular practice ESAT routine can help build confidence and improve time management before test day.
How do I register for the ESAT?
Registering for the ESAT is a crucial step in the admissions journey, and it must be completed accurately and on time to avoid any issues that could impact your university application.
To register for the ESAT:
- Visit the official ESAT page on the Pearson VUE website.
- Create a Pearson VUE account if you don’t already have one.
- Choose your preferred test centre location and test date (October is typically the standard sitting for undergraduate applicants).
- Upload any required documentation, especially if applying for access arrangements.
- Pay the test fee, unless you are applying for a bursary.
If you require access arrangements due to a disability, medical condition, or special education need, make sure to indicate this at the time of registration. Supporting evidence must be submitted in advance, and approval is required before your booking can be confirmed.
Which universities and courses require the ESAT?
The ESAT is used by several leading UK universities for selected science, engineering and related degree programmes. However, the courses that require the test vary between institutions, so it’s important to check the admissions requirements for your chosen course before registering.
1. University of Oxford
The ESAT is required for applicants to:
- Biomedical Sciences
- Engineering Science
- Physics
- Physics and Philosophy
2. University of Cambridge
The ESAT is required for applicants to:
- Chemical Engineering and Biotechnology
- Engineering
- Natural Sciences
- Veterinary Medicine
3. Imperial College London
The ESAT is required for applicants to courses within:
- Aeronautics
- Chemical Engineering
- Civil and Environmental Engineering
- Dyson School of Design Engineering
- Electrical and Electronic Engineering
- Life Sciences
- Mechanical Engineering
- Physics
4. University College London (UCL)
At present, UCL requires the ESAT for:
- Electronic and Electrical Engineering (BEng/MEng)
