Mathematics 1
Every candidate sits this module.
- Units
- Number
- Ratio and proportion
- Algebra
- Geometry
- Statistics
- Probability
Every ESAT candidate takes Mathematics 1. Most courses require two additional modules, but the exact combination depends on your university and course. Choose yours below before booking.
Applying to another ESAT course? Check it separately. If two courses give conflicting compulsory modules, contact UAT-UK before booking; do not guess.
Can't find your course? It may not require ESAT. Check the official 2027-entry course list and the university course page before booking.
Choose modules from the official requirement for every course on your UCAS shortlist. Read the UAT-UK April 2026 course list (PDF) →
| University | Course | Code | Required modules | Sitting | Official source |
|---|---|---|---|---|---|
| University of Cambridge | Engineering | H100 | Mathematics 1, Mathematics 2, Physics | October 2026 required | Cambridge → |
| University of Cambridge | Chemical Engineering and Biotechnology | H810 | Mathematics 1 + any two of Biology, Chemistry, Physics, Mathematics 2 | October 2026 required; January only for eligible mature applicants | Cambridge → |
| University of Cambridge | Natural Sciences | BCF0 | Mathematics 1 + any two of Biology, Chemistry, Physics, Mathematics 2 | October 2026 required; January only for eligible mature applicants | Cambridge → |
| University of Cambridge | Veterinary Medicine | D100 | Mathematics 1 + any two of Biology, Chemistry, Physics, Mathematics 2 | October 2026 required; January only for eligible mature applicants | Cambridge → |
| University of Oxford | Biomedical Sciences | BC98 | Mathematics 1 + any two of Biology, Chemistry, Physics, Mathematics 2 | October 2026 required | Oxford → |
| University of Oxford | Biomedical Engineering | H811 | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Biomedical Engineering with Foundation Year | H81F | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Chemical Engineering | H800 | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Chemical Engineering with Foundation Year | H80F | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Civil Engineering | H200 | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Civil Engineering with Foundation Year | H20F | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Electrical Engineering | H620 | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Electrical Engineering with Foundation Year | H62F | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Engineering Science | H100 | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Engineering with Foundation Year | H10F | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Information Engineering | H630 | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Information Engineering with Foundation Year | H63F | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Physics | F303 | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Physics and Philosophy | VF53 | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Mechanical Engineering | H300 | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| University of Oxford | Mechanical Engineering with Foundation Year | H30F | Mathematics 1, Mathematics 2, Physics | October 2026 required; January allowed only for eligible Foundation Year applicants | Oxford → |
| Imperial College London | Aeronautical Engineering | H401 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Civil Engineering | H201 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Civil Engineering | H202 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Electrical and Electronic Engineering | H600 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Electrical and Electronic Engineering | H604 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Electrical and Electronic Engineering | H6N2 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Electronic and Information Engineering | HG65 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Electronic and Information Engineering | GH56 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Mechanical Engineering | H301 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Physics | F300 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Physics | F303 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Physics | F309 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Physics | F325 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Physics | F390 | Mathematics 1, Mathematics 2, Physics | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biochemistry | C700 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biochemistry | C703 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biochemistry | C7R1 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biochemistry | C7R2 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biochemistry | C7R4 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biological Sciences | C100 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biological Sciences | C103 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biological Sciences | C1R1 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biological Sciences | C1R2 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biological Sciences | C1R4 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biotechnology | J700 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biotechnology | J703 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biotechnology | J7R1 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biotechnology | J7R2 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Biotechnology | J7R4 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Ecology and Environmental Biology | C180 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Microbiology | C500 | Mathematics 1, Chemistry, Biology | October 2026 or January 2027 | Imperial → |
| Imperial College London | Chemical Engineering | H801 | Mathematics 1, Mathematics 2, Chemistry | October 2026 or January 2027 | Imperial → |
| Imperial College London | Design Engineering | 28G3 | Mathematics 1, Mathematics 2; two modules only | October 2026 or January 2027 | Imperial → |
| UCL | BEng Electronic and Electrical Engineering | H600 | Mathematics 1 + any two of Biology, Chemistry, Physics, Mathematics 2 | October 2026 or January 2027 | UCL → |
| UCL | MEng Electronic and Electrical Engineering | H601 | Mathematics 1 + any two of Biology, Chemistry, Physics, Mathematics 2 | October 2026 or January 2027 | UCL → |
These are the October 2026 sitting dates for 2027 entry. Access arrangements and bursaries must be requested before you book — they cannot be added to a booking you have already paid for.
| What | When | Time |
|---|---|---|
| Test booking opened | 20 July 2026 | 15:00 UK |
| Deadline to request access arrangements | 14 September 2026 | 18:00 UK |
| Deadline to request a bursary | 21 September 2026 | 18:00 UK |
| Test booking closes | 28 September 2026 | 18:00 UK |
| Test window | 12–16 October 2026 | — |
| Results released to candidates | 16 November 2026 | — |
Cost: £78 for candidates in the UK and Republic of Ireland, £133 elsewhere. UK candidates in financial need can apply for a UAT-UK bursary voucher and sit free of charge.
Sitting in China, Hong Kong or Macau? Your ESAT window is narrower than everyone else’s: 12–13 October only.
The January 2027 sitting (4–8 January) is not available to Oxford or Cambridge applicants, other than Cambridge mature applicants at a college with a January deadline and Oxford Astrophoria Foundation Year applicants. Imperial and UCL applicants may use either sitting; there is no advantage to either, and you may only sit once per admissions cycle.
Every module is 27 multiple-choice questions in 40 minutes, sat back-to-back at a Pearson test centre. Most candidates sit three modules, so the test runs 120 minutes in total. You cannot use a calculator or a dictionary. There is no negative marking, so answer every question.
The topic lists below are the section headings of UAT-UK’s own free ESAT Guides. Those guides are the definitive statement of what is examinable, they are free, and they are the only preparation material the exam board itself publishes.
Every candidate sits this module.
Compulsory for most engineering and physics courses.
Compulsory for most engineering and physics courses.
Compulsory for Imperial biosciences and Chemical Engineering.
Compulsory for Imperial biosciences; an option elsewhere.
You receive a separate score for every module you sit, reported on a scale from 1.0 (low) to 9.0 (high) to one decimal place. If you sit Mathematics 1, Mathematics 2 and Physics, you get three scores, and universities can look at each one on its own.
Because the median is pinned to 4.5 every year, your score is a statement about where you sit relative to the other people who took the ESAT — not a percentage of questions you answered correctly.
UAT-UK publishes the real distribution of scores for every module. The charts below are those distributions for the most recent completed cycle — the October 2025 and January 2026 sittings. The dashed line marks 4.5, the typical score.
| Module | Busiest band | Scored below 3.0 | Scored 6.0+ | Scored 7.0+ |
|---|---|---|---|---|
| Mathematics 1 | 4.5–4.9 | 6.5% | 18.6% | 8.1% |
| Mathematics 2 | 4.0–4.4 | 13.2% | 18.9% | 8.3% |
| Physics | 3.5–3.9 / 4.5–4.9 | 19.5% | 17.6% | 8.2% |
| Chemistry | 4.0–4.4 | 12.3% | 22.5% | 12.9% |
| Biology | 4.5–4.9 | 21.0% | 23.4% | 10.6% |
Mathematics 1 is far more tightly packed than the science modules. Only about 6.5% of candidates score below 3.0 in Mathematics 1, against roughly 19.5% in Physics and 21% in Biology. Everyone sits Mathematics 1, and the pack is dense around the middle, so a handful of extra marks there moves you further up the order than the same marks would in a science module.
The gap just below 9.0 is an artefact of the cap, not a wall. In Chemistry and Biology no candidate landed in the 8.5 band at all, which can read as though the top of the scale is unreachable. It is not: about 3.2% of Chemistry candidates and 2.7% of Biology candidates scored 9.0, because scores above the ceiling are capped there.
| Module | 1.0–1.4 | 1.5–1.9 | 2.0–2.4 | 2.5–2.9 | 3.0–3.4 | 3.5–3.9 | 4.0–4.4 | 4.5–4.9 | 5.0–5.4 | 5.5–5.9 | 6.0–6.4 | 6.5–6.9 | 7.0–7.4 | 7.5–7.9 | 8.0–8.4 | 8.5–8.9 | 9.0 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Mathematics 1 | 0.3 | 0.6 | 2.1 | 3.5 | 11.3 | 11.9 | 15.5 | 17.1 | 10.3 | 8.8 | 5.6 | 4.9 | 2.7 | 2.0 | 0.3 | 1.5 | 1.6 |
| Mathematics 2 | 2.1 | 2.3 | 3.4 | 5.4 | 10.4 | 13.3 | 14.8 | 9.9 | 12.5 | 7.4 | 7.1 | 3.5 | 2.8 | 1.1 | 1.6 | 0.4 | 2.4 |
| Physics | 3.7 | 2.7 | 5.6 | 7.5 | 7.8 | 13.0 | 11.3 | 13.0 | 8.1 | 10.4 | 5.0 | 4.4 | 3.4 | 0.7 | 2.0 | 0.3 | 1.8 |
| Chemistry | 1.8 | 3.3 | 2.5 | 4.7 | 11.7 | 7.0 | 14.1 | 12.3 | 9.4 | 11.0 | 6.2 | 3.4 | 5.2 | 3.9 | 0.6 | 0.0 | 3.2 |
| Biology | 7.1 | 0.9 | 5.3 | 7.7 | 7.1 | 9.0 | 9.3 | 11.0 | 10.8 | 9.0 | 5.5 | 7.3 | 3.3 | 2.5 | 2.1 | 0.0 | 2.7 |
None of the four universities publishes a cut-off score, a shortlisting threshold, or a target to aim for. Any site quoting you a specific number to hit is guessing. Imperial, which publishes more data than the others, explicitly warns that its historic figures “should not be taken as indicative of requirements or outcomes for the current or future admissions cycles”.
Cambridge states there is no pass or fail for the ESAT and that your score is considered as part of the wider application. Each College makes its own shortlisting decisions, so there is no University-wide threshold to hit.
Read the official policy →New for 2027 entry: Oxford has moved to UAT-UK tests. Oxford states that tests form one part of its admissions process and are used alongside a range of other information to assess academic potential. Shortlisted candidates are interviewed in December 2026, with decisions on 12 January 2027.
Read the official policy →Imperial is the most transparent of the four. It states plainly that there are no grade boundaries or pass marks, and that “achieving a high score does not necessarily mean that you will be offered a place, while a low score does not mean that your application will be unsuccessful”. Imperial publishes an interactive dashboard of anonymised 2025-entry scores and outcomes by department.
Read the official policy →UCL requires the ESAT for H600 and H601 Electronic & Electrical Engineering for 2027 entry, with either sitting accepted. Applicants progressing from UCL’s Engineering Foundation Programme or International Foundation Year are exempt.
Read the official policy →What you can take from the distributions above is where a score places you among the people who sat the same module — which is a genuinely useful thing to know, and is different from a threshold you must clear.
Most candidates apply to more than one ESAT course, and the courses do not always ask for the same modules. UAT-UK’s rule is specific, and it catches people out:
Worked example: you apply to Cambridge Natural Sciences (Mathematics 1 plus any two) and Oxford Engineering Science (Mathematics 1, Mathematics 2 and Physics). Oxford’s requirement is fixed, so you sit Mathematics 1, Mathematics 2 and Physics — that combination satisfies Cambridge too.
Start with a diagnostic, see your weak topics, and get a daily plan for the modules you are sitting. Free to start; no card required.
Build my free ESAT plan →Mathematics 1. Every ESAT candidate sits Mathematics 1, and most courses require two further modules from Biology, Chemistry, Physics and Mathematics 2.
You receive a separate score for each module you sit, on a scale from 1.0 (low) to 9.0 (high) reported to one decimal place. There is no pass mark. The scale is set so that a typical candidate scores around 4.5 and approximately 10% of candidates score above 7.0.
No university publishes a cut-off or threshold score. UAT-UK fixes the median at 4.5 and the 90th percentile at 7.0, so 7.0 places you in roughly the top 10% of candidates for that module. Imperial warns that its published historic score data should not be taken as indicative of requirements for future cycles.
£78 for candidates in the UK and Republic of Ireland and £133 for candidates sitting elsewhere. UK candidates in financial need can apply for a UAT-UK bursary voucher and sit free of charge, but must apply before booking.
Candidates sitting in the October 2026 window receive results via their UAT-UK account on 16 November 2026, approximately four weeks after the test.
No. Your score is based on the number of correct answers and you do not lose marks for wrong answers, so it is worth attempting every question.
No. Calculators and dictionaries are not permitted in any ESAT module.
No. You may only sit the ESAT once within an admissions cycle.
Only by cancelling and re-booking, which is subject to test centre availability. Your preferred time and location may no longer be available, so choose carefully before you book.
If one course allows a free choice of modules and another has compulsory modules, the compulsory ones dictate your selection. If two courses have compulsory requirements that genuinely conflict, contact UAT-UK through your online account before booking.
Normally no. The exceptions are Cambridge mature applicants applying to a mature college with a January deadline, and Oxford Astrophoria Foundation Year applicants.
OxbridgeAI is not affiliated with or endorsed by UAT-UK, the University of Cambridge, the University of Oxford, Imperial College London or UCL. Requirements can change; confirm your course before booking.