- Four A-level subjects are load-bearing across the 23 STEM programmes in this series that exist as UK degrees: Mathematics, Further Mathematics, Physics, Chemistry.
- Mathematics is named by 22 of the 23 programmes and is compulsory outright in 20; at Cambridge Computer Science colleges usually want the A* in Mathematics or Further Mathematics. Further Mathematics: named by 2, recommended by 13 – at A*A*A entry, “recommended” is functionally required.
- Physics is named by 7 of the 10 engineering and physics programmes and compulsory outright in 6, not all of them. Chemistry is named by 6 and compulsory in 4; Biology is named by 4 and compulsory in none – every programme that names it also accepts Chemistry, Mathematics or Physics instead.
- Economics, Psychology, Business: 0 requirements out of 23. Computing A-level: 0 as well – not one of the 23 asks for it. Mathematics: 22.
- Fourth subject on top of Mathematics + Further Mathematics + Physics: Chemistry opens all 23. Biology opens 19 and Computing 19 – exactly what the first three open on their own. Only Chemistry adds anything.
- Sourcing: all 23 rows were read off a live admissions page and link to it. The other 8 of the 31 programme names have no undergraduate degree at any UK university in the ARWU top 100, so there is no A-level requirement to record.
Schools present A-level choice as a menu. Computer Science for the future engineer. Biology for the future doctor. Business for the future entrepreneur. Psychology, Economics, Design Technology – all legitimate, all offered. The message is: pick what's relevant to you.
The admissions data tells a different story. There is a hard core golden standard – four subjects that top research universities have required for decades. Not approximately. Not with occasional exceptions. For decades, across every major STEM field. The menu around them grew. The four didn't move.
Physics · Chemistry
Here is what the data shows – and why the subjects that feel most relevant are not the ones that are load-bearing.
A note on sourcing before the numbers: every one of the 23 rows below was read off a current admissions page at one of the eight UK universities in the ARWU top 100, and the dataset links to the page each came from. Eight of the 31 programme names in this series have no undergraduate degree at any of those eight – some are taught only at master’s level, some name a department rather than a degree – so the counts below are out of 23, not 31.
Mathematics – named by 22 of 23, compulsory in 20
The baseline. Not a finding – a precondition. A student without Mathematics is not applying to STEM at a top research university. The single programme that does not name it is Civil Engineering at UCL, which names no subject at all: “No specific subjects, but please note the GCSE requirements below if you are not taking A level Mathematics and/or Physics.” Even the exception assumes you have it.
What the data shows beyond this: the A* needs to land here specifically. A*A*A means three A-levels at grades A*, A, A. The natural assumption is to put the A* in whichever subject is strongest. Cambridge CS admissions guidance says otherwise – colleges usually require the A* in Mathematics or Further Mathematics, not just anywhere across the three subjects.
Further Mathematics – recommended by 13, named by 2
Named in the requirements of 2 of the 23 – compulsory at Cambridge Mathematics, an alternative to Mathematics at Manchester Actuarial Science. Recommended by 13.
Cambridge says "if your school offers it." Oxford says "strongly recommended." Imperial says "recommended but not essential." UCL says "preferred." None of them say required – they don't want to exclude students from schools that don't offer FM. But a student from a school that does offer it and chooses not to take it is at a structural disadvantage across 13 of the 23 programmes.
Physics – the key to the engineering cluster
Named by 11 of the 23. Seven of those are the engineering and physics cluster – Aerospace, Mechanical, Engineering (General), Materials Science, Physics and Astrophysics, where it is compulsory, and Biomedical Engineering, which accepts Biology in its place. The four outside the cluster – Biochemistry, Neuroscience, Earth Sciences and Natural Sciences – name it as one acceptable option among several.
It is not the whole cluster, which is the part the first version of this table got wrong. Three of those ten do not ask for Physics: Chemical Engineering asks for Chemistry, Electrical and Electronic Engineering at UCL asks for Mathematics and prefers Physics or Further Mathematics, and Civil Engineering asks for nothing in particular.
Universities write “recommended” in the edge cases. The core is not ambiguous. Mechanical Engineering at UCL: “Mathematics and Physics required.” Aeronautical Engineering at Imperial: A* in Mathematics, A or A* in Physics. Materials Science at Oxford: Maths and Physics to A-level. Cambridge does not teach these as named degrees – it admits to one Engineering course, and that course requires Mathematics and Physics too.
Chemistry – the subject nobody told you about
Named by 6 of the 23, and compulsory in 4 of them. Biology is named by 4 and compulsory in none: every programme that names Biology also accepts Chemistry, Mathematics or Physics in its place. Most students and parents assume Biology is the relevant choice for anything biology-adjacent. The data does not support this.
The difference is in where each subject's requirements apply.
Chemistry's six programmes – Chemistry, Biochemistry, Chemical Engineering, Neuroscience, Earth Sciences and Natural Sciences – are the ones a student without Chemistry cannot enter, whatever else is on the form.
Biology's four – Biochemistry, Neuroscience, Biomedical Engineering and Natural Sciences – name it only as an alternative, never as the compulsory subject, so Biology is not a gate even in the UK. US universities set no A-level subject prerequisites at all: biology, chemistry and physics are taught from scratch within the degree.
And for Computational Biology specifically – the field that sounds most "biology" – top US universities consider Chemistry the stronger preparation. General Chemistry and Biochemistry appear in year 1 of each of the four US Bioinformatics and Computational Biology degrees checked below. A student with Chemistry arrives prepared for those courses. Biology is taught from scratch regardless.
Verified June 2026:
- MIT (Course 6-7: CS & Molecular Biology) – biology taught from scratch, no prior Biology required
- Stanford (BS Biomedical Computation) – all foundational biology, chemistry, physics taken at university
- UCSD (BS Bioinformatics) – all biology and chemistry are first-year university courses
- CMU (BS Computational Biology) – Modern Biology, Genomics, Biochemistry, Cell Biology all taught within the degree
The standard confirmed
Show the data – 4 subjects across 23 programmes
Table 1. The 23 programmes that exist as UK degrees, counted by subject: how many name it in the entry requirements, how many recommend it, how many ask for neither. Four programmes name one subject both as an alternative requirement and as a recommendation, so those rows add up to more than 23; the chart above splits them instead of counting them twice.
| Subject | Named in the requirements | Recommended | Neither |
|---|---|---|---|
| Mathematics | 22 | 1 | 1 |
| Further Maths | 2 | 13 | 9 |
| Physics | 11 | 6 | 8 |
| Chemistry | 6 | 7 | 12 |
The full table – all 31 programmes with their required and recommended subjects, the typical offer and the admissions page each row was read from – and the CSV: A-level requirements by STEM programme.
The subjects that fill the school menu carry nothing in the admissions data. Four subjects. Each one load-bearing. Each one present at every level – required, recommended, or structurally expected. None of them are surprising. All of them have been there all along.
The proof is in what the alternatives don't do.
name it
name it · compulsory in 20
The subject that signals CS interest most loudly to a student is almost never required by the university itself. Cambridge CS doesn't require Computing. It requires Mathematics – and Further Mathematics if the school offers it.
The golden standard was never hidden. It was always visible in the admissions data. The expanded school menu created the appearance of choice. The data shows the choice was always narrower than it looked.
For Andrey
The research was built for a specific decision. Andrey is preparing to choose his A-levels. The subjects he picks now determine which universities remain open – and which close before he has written a single application.
The answer from 23 programmes read off their own admissions pages, and every layer of this analysis, is unambiguous.
Physics · Chemistry
That combination opens every one of the 23 programmes that exist as UK degrees. There is nothing left for a fifth subject to unlock. At MIT, Stanford, UCSD and CMU it is not a limitation either – it is exactly the profile those programmes are looking for.
For other students reading this: the data above shows the standard. Whether it applies depends on which universities you are targeting and what you want to study. That decision is yours.