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A Level Choices for Engineering: What a Year 11 Decides Before Anyone Tells Them
A student who wants to read engineering at Cambridge or Imperial makes the decision that matters at fifteen or sixteen, in an options conversation, two full years before the first university page is ever opened. This is what the four institutions that use the Engineering and Science Admissions Test actually ask for, quoted from their own course pages, and what the student will meet at eighteen.
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- The floor is Mathematics and Physics. Every engineering course named on this page requires both at A level, and most want the A* to be in one of them. A student who drops either at sixteen has closed the door.
- Further Mathematics is the variable, and the wording differs by institution. Cambridge asks for it if the school offers it. Oxford says it is helpful but not required. Imperial varies by department. UCL prefers it as an alternative to Physics. The exact wording is in the table below.
- Further Mathematics is normally a four-A-level-slot decision. It is taken alongside Mathematics, not instead of it, so in practice it competes for the third or fourth option slot. That is the conversation to have in Year 11.
- At eighteen they sit the ESAT. A computer-based multiple-choice test with no calculator, taken in the October of Year 13. It replaced the Physics Aptitude Test at Oxford.
- Nothing on this page is for sale. The mock papers and worked solutions linked at the bottom are free and open, with no account, no sign-up and no email address required.
The decision and its deadline
The combination is Mathematics, Physics, and a decision about Further Mathematics. Everything else in the A level programme is a free choice as far as engineering admissions are concerned.
What makes this a Year 11 problem rather than a Year 12 problem is the structure of Further Mathematics. It is a separate A level taken in addition to Mathematics, so it does not slot in later without displacing something already started, and many providers require it to be picked at enrolment because the two maths courses are taught as a block. A student who begins Year 12 with Mathematics, Physics and two unrelated subjects has usually made a decision they did not know they were making.
Mathematics
Named as a required subject by Cambridge, Oxford, Imperial and UCL for their engineering courses. Most of these ask for the A* to be in Mathematics specifically.
Physics
Required for Cambridge Engineering, Oxford Engineering Science, and most Imperial and UCL engineering departments. The exceptions are narrow: Imperial Chemical Engineering asks for Chemistry, and Imperial Design Engineering does not name Physics at all.
Further Mathematics
Not a single answer. It ranges from "you should take it" at Cambridge to "not required for admission" at Oxford, and Imperial's position depends on which department the student applies to. Section below.
Further Mathematics, institution by institution
These are the published requirements for 2027 entry, quoted from each university's own course page and linked to it. Entry requirements change between admissions cycles and differ between courses at the same university, so treat the link, not this page, as the authority when advising an individual student.
| Course | Status of Further Mathematics | Published wording |
|---|---|---|
| Cambridge Engineering | Required if the school offers it | Listed among the subjects applicants "will need": "Further Mathematics to AS or A level if your school offers it". Elsewhere on the same page: "If your school offers Further Mathematics to AS or A level, you should take it." |
| Oxford Engineering Science | Not required | "Further Mathematics can be helpful to students in completing this course, although it is not required for admission." The required subjects are Physics and Mathematics only. |
| Imperial Aeronautical Engineering | Recommended, not essential | "Preferred subjects: Further Mathematics is recommended but not essential." |
| Imperial Mechanical Engineering | Not mentioned | The A level requirement names A* in Mathematics, A or A* in Physics, and A in a third and fourth subject. Further Mathematics is not named as required or preferred. |
| Imperial Civil Engineering | Not mentioned | Same shape as Mechanical: A* in Mathematics, A or A* in Physics, A in a third or fourth subject, with no Further Mathematics statement. |
| Imperial Chemical Engineering | One accepted third subject among several | A* in Chemistry, A* in Mathematics, and "A in Biology, Business Studies, Economics, Further Mathematics or Physics". Further Mathematics carries no preference over the alternatives listed beside it. |
| UCL Electronic and Electrical Engineering | Preferred, as an alternative to Physics | "A* in Mathematics required, plus either Physics or Further Mathematics preferred as the second subject. Where students have Further Mathematics but not Physics then it is preferable to have Biology, Chemistry, Design and Technology, or Electronics as the third subject." |
The Imperial rows are the reason this cannot be answered in one sentence. Imperial does not publish a faculty-wide position on Further Mathematics: Aeronautics recommends it, Mechanical and Civil do not mention it, and Chemical Engineering treats it as interchangeable with Physics, Biology, Economics or Business Studies. A student who wants Imperial has to know which department before the Further Mathematics answer is knowable.
Two of these wordings are ambiguous enough that they should be checked rather than interpreted. Imperial's silence on Further Mathematics for Mechanical and Civil is an absence of a published statement, not a published statement that it does not matter, and it says nothing about how a fourth A level in Further Mathematics is read against competing applicants. Cambridge's "if your school offers it" turns on what the student's post-16 provider offers, which for an 11-16 school is a different institution from the one giving the advice.
Cambridge publishes a route
"If you are not able to take Further Mathematics because it's not available at your school, contact your shortlisted College(s) before you apply. They will confirm whether you are eligible to apply to their College for Engineering." Cambridge also advises taking "as much additional pure maths and mechanics as possible" and studying AS Further Mathematics content independently. Source: Cambridge Engineering course page.
Where the A* has to sit
Cambridge Engineering's minimum offer is A*A*A, and "Colleges usually require A* in Mathematics and/or Further Mathematics". Oxford asks for A*A*A "to include Mathematics and Physics", with the A*s in "Mathematics, Physics or Further Mathematics". Imperial and UCL name Mathematics as the A* subject directly.
Not a statement about other universities
These four are the institutions where the Further Mathematics question is sharpest and where the ESAT applies. Most UK engineering departments ask for Mathematics and Physics without a Further Mathematics condition, and a student who does not take it has not lost engineering. They have narrowed a specific set of four.
What they meet at eighteen: the ESAT
The Engineering and Science Admissions Test is sat in the October of Year 13, before any interview and before any offer. It is run by University Admissions Tests UK, a collaboration between Imperial and Cambridge, and delivered at Pearson VUE test centres. A Year 11 will not think about it for two years, but the A level choices made now determine which modules they are able to sit.
27 questions in 40 minutes
Each module is 27 multiple-choice questions in 40 minutes, with no calculator and no dictionary. That is about 89 seconds a question including reading time. There is no negative marking and no pass mark. Source: UAT-UK ESAT test page.
Five exist, most sit three
The five are Mathematics 1, Mathematics 2, Physics, Chemistry and Biology. Mathematics 1 is taken by everyone. UAT-UK states that most courses require Mathematics 1 and two further modules, so the test is two hours for most candidates, but some courses specify fewer: Imperial Design Engineering requires only Mathematics 1 and Mathematics 2.
The course dictates them
Oxford and Cambridge Engineering both require Mathematics 1, Mathematics 2 and Physics. Imperial Chemical Engineering requires Mathematics 1, Mathematics 2 and Chemistry. Modules are chosen at booking and cannot be changed on the day. Source: Imperial ESAT page.
Two facts here are worth carrying into a careers conversation. The first is that the ESAT replaced the Physics Aptitude Test at Oxford: Oxford's Department of Physics now refers to the PAT as "our previous admissions test" and states that everyone applying for Physics or Physics and Philosophy must sit the ESAT instead. Any PAT-era advice a school still holds about Oxford physics or engineering admissions is out of date. Source: Oxford Department of Physics, ESAT.
The second is that the ESAT is not only an Oxbridge and Imperial test. Imperial's own ESAT page lists seven universities using it for certain courses in engineering, science, natural sciences and veterinary medicine: Imperial, Cambridge, Durham, the London School of Economics, UCL, Oxford and Warwick. At UCL the reach is narrow, and specific: for 2027 entry the ESAT applies to Electronic and Electrical Engineering only. UCL Mechanical Engineering uses a different UAT-UK test, the TARA, and a student assuming one test covers all of UCL engineering would prepare for the wrong thing.
The timeline, from the options form to the offer
The pattern below repeats every year. A student choosing options in Year 11 sits the ESAT in the October of their Year 13, which is two academic years later. The specific dates given are those published for the cycle currently running, 2027 entry, and are included so the shape of the deadlines is concrete rather than abstract. A student choosing options now will face the same structure with dates moved on.
- Year 11, options. Mathematics and Physics are chosen, or engineering at these four is closed. The Further Mathematics question is asked here, and answered by whether the post-16 provider offers it and whether the student has a slot for it.
- Year 12, September. Courses begin. Where Further Mathematics was not taken and Cambridge is a target, this is the point at which the Cambridge advice to work through AS Further Mathematics content independently becomes actionable, rather than the point at which it is discovered.
- Year 12, summer into Year 13, September. Registration for the October ESAT sitting. In the 2027 entry cycle, accounts could be created from 1 June 2026, test booking opened on 20 July 2026, and booking closed at 18:00 UK time on 28 September 2026.
- Access arrangements: earlier than the booking deadline. For the October 2026 sitting, requests closed at 18:00 UK time on Monday 14 September 2026, two weeks before booking itself. Extra time and rest breaks are applied for through UAT-UK and need supporting evidence from the school. This is the deadline schools most often miss, because it does not sit where the test-booking deadline sits.
- Year 13, October. The test. Two windows exist for 2027 entry, 12 to 16 October 2026 and 4 to 8 January 2027, but Oxford and Cambridge applicants must sit the October one. Imperial accepts either. A candidate may sit the ESAT once per admissions cycle.
- Year 13, December and January. Interviews, then decisions. By this point the A level combination has been fixed for over two years.
Dates in this section are from the Imperial ESAT page and the Oxford admissions tests page. Check both for the cycle you are advising into.
Where an 11-16 school's influence ends
It ends at the options form, and the most consequential requirement on this page turns on something decided after that.
Cambridge's condition is "Further Mathematics to AS or A level if your school offers it". For a student leaving at sixteen, "your school" is the sixth form or college they move to, not the school running the options conversation. Whether that provider timetables Further Mathematics, whether it runs the class at all in a given year, and whether it lets a student add it in the first weeks of Year 12 are decisions taken by an institution the advising school does not control and often does not know the answer for.
What can be done before the student leaves is narrower and still worth doing: make sure the student knows Further Mathematics exists as a separate A level and that it is worth asking about, make sure Mathematics and Physics are both on the form, and make sure the student knows to ask their prospective provider directly whether Further Mathematics is available to them. A student who arrives at a sixth form already knowing to ask is in a different position from one who finds out in Year 12 that the decision was made for them by a timetable.
The rest belongs to the sixth form: module choice, ESAT registration, access arrangements, and preparation. This page is written so that the handover happens with the student informed rather than with the question unasked.
Free ESAT material, for whenever it becomes relevant
The ESAT preparation material on this site is free and open. There is no account, no sign-up, no email address and no paywall, and there is nothing on this page or behind those links that is for sale. It is published for students in Year 12 and Year 13, so it will be of no immediate use to a Year 11, but it is the thing worth passing to the sixth form or college a student moves on to, or to a former student who gets in touch.
- Full mock papers and practice questions with worked solutions, at mintnib.com/esat/practice-papers.