Oxbridge & US STEM admissions

The part most consultancies subcontract

Oxbridge STEM entry is decided by an admissions test and an interview, both of which are genuinely hard mathematics. Most consultancies handle the personal statement themselves and subcontract the MAT, STEP and TMUA preparation to a tutor you never meet at the point of sale. The statement carries far less weight than the test.

I teach the mathematics myself, every session.

• MAT — Oxford mathematics and computer science
• STEP — Cambridge mathematics, papers 2 and 3
• TMUA — where it is required or advisable
• Physics and engineering admissions assessments
• Interview training — against real past questions, run harder than the real thing, and never giving the answer
• Personal statement — edited, not written
• College selection — which genuinely matters, and the ways in which it does not

An interview at Oxford is not an examination. The candidate is expected to think aloud, be visibly unfinished, take a hint and change direction. Students from drilling-heavy education systems are frequently excellent mathematicians and very poor at this, and it is the single biggest determinant of the outcome. It is trainable, and it takes months.

The three tests are not variations of each other

Families often treat MAT, STEP and TMUA as one obstacle with three names. They reward different things, and preparing for them as though they were interchangeable is the most common way to waste a year.

The MAT is Oxford's, for mathematics and computer science. It is deliberately set on a syllabus that stops well short of the end of A-level, so there is very little to revise. What it tests is whether a candidate can do something unfamiliar with tools they already have. A strong MAT script usually contains fewer techniques than a weak one, applied more carefully.

STEP is Cambridge's, and it is the opposite kind of paper. Questions are long, and the marks sit in sustained argument rather than in getting to a final number. A candidate who answers three questions properly outscores one who starts six. Learning that — that stopping to finish is worth more than moving on — is most of the preparation.

The TMUA is shorter and split in two: applied mathematical knowledge in one paper, logic and proof in the other. The second paper is the one that catches people. It asks about the structure of an argument — contrapositives, counterexamples, what follows from what — and school mathematics barely touches it. A candidate who has never had to say why a converse fails will find it alien, and it is entirely learnable in a few weeks.

You can work through all three, free, with 809 practice questions — MAT, TMUA and STEP, each with a full worked solution, and timed papers at the real pace.

The shape of the year

The UCAS deadline for both universities falls in mid-October, a fortnight before most schools expect it, and it is absolute. The admissions tests follow almost immediately, which is the part families misjudge: the statement and the test compete for the same weeks, and the statement is worth far less.

Interviews run in December, usually across several days, and offers arrive in January. Cambridge mathematics then attaches STEP to the offer, so a candidate who has relaxed after interview has six months of the hardest paper still ahead of them. That gap between offer and STEP is where a surprising number of places are lost.

Working backwards from that, preparation that starts in September is preparation for the test only. Starting in the spring of the lower sixth leaves room to fix how a candidate thinks rather than only what they know, which is the part that takes months and cannot be compressed.

Where candidates actually lose it

Almost never on knowledge. The mathematics required is narrower than families expect, and a candidate strong enough to be shortlisted already has it. Places are lost in three places.

Silence in the interview. An Oxford or Cambridge interview is a supervision held early: the interviewer wants to watch someone think, be stuck, take a hint and move. A candidate who goes quiet to work something out privately and presents a finished answer has shown almost nothing, however correct it is. Students from drilling-heavy systems are frequently excellent mathematicians and very poor at this.

Speed over completion in STEP. Starting six questions and finishing none is a recognisable, and fatal, script.

Treating the statement as the main event. It gets read, it can do harm, and it almost never wins a place. Time moved from the statement to the test is time well spent, and a statement edited to sound like an adult wrote it is worse than a plain one in the candidate's own voice.

Programmes

Fees are set on the introductory call, once the scope is clear. Further reading: reading a MAT question the way an examiner does.

Book a 20-minute call Write instead

Timing

The UCAS deadline for Oxford and Cambridge is 15 October. Admissions tests sit shortly after; interviews fall in December. Serious preparation begins in the spring before, by the summer the strong candidates have been working for months. Enquiries from September onwards can usually be helped, but with materially less room.