Maths and Physics interview practice, one to one.

What the interviews are actually like

Both universities say the same thing in different words: the interview is about how you think, not what you have memorised. Oxford’s Mathematics department puts it simply: “We are trying to see how you think when you do Mathematics.” Cambridge says interviews let it find out about “your ability to think critically and independently” and “your curiosity and openness to new ideas”.

Cambridge dates

Main interview period: 7 to 18 December 2026. Cambridge: “Most interview invitations are sent in November, but some might be sent in early December.”

Cambridge format

“Most applicants will have 1 or 2 interviews lasting a total of 35 minutes to an hour.” Interviews may be online or in person, depending on the college.

Oxford Maths

“Interviews occur in December.” They are “online via video call for all candidates”, and each “lasts for about 25 minutes, and is largely mathematical in nature.”

Oxford Physics

Interviews are “purely academic in nature”, and “knowledge of the entrance test syllabus material will be assumed.”

Thinking aloud

Oxford Maths: “we may ask you to solve a problem and talk us through your thought processes”, and “if you don’t say anything, we can’t tell what you’re thinking!”

That last point is where most of the difficulty lies. Strong students are used to working silently and writing down a finished answer. In an interview the working is the answer, and narrating it clearly while thinking is a skill that improves quickly with practice.

Checked on 15 October 2026 against Cambridge’s interviews page, Oxford Mathematics’ interviews page and Oxford Physics’ interviews page. Your invitation from the college is the final word on dates and format.

Which subjects this covers

Practice is for mathematics- and physics-based courses: Mathematics, Physics, Engineering, and the physical side of Natural Sciences at Cambridge, along with joint courses where the interview is largely mathematical. These are the interviews where you are most likely to be handed a problem you have not seen before and asked to work through it.

For many applicants the interview follows the ESAT or TMUA by a few weeks, and the two reward the same habit. Oxford Physics says knowledge of the entrance test syllabus is assumed, so the test preparation is not wasted once the test is over.

Interview practice for humanities, medicine or other subjects is not offered.

How an interview practice lesson works

A practice lesson is a normal one-hour, one-to-one lesson with Archie, used for interview work. It runs online on Google Meet, which is how Oxford interviews and many Cambridge interviews are held, or in person around Marylebone, London.

• An unfamiliar problem, worked through aloud. The student explains their thinking as they go, the way an interviewer would expect.
• Hints taken the way interviewers give them. Interviewers often nudge a candidate who is stuck. Using a hint well, rather than freezing, is part of what is practised.
• Feedback afterwards on how the thinking was explained, not only on whether the answer was right.
• Gaps found and filled. If a problem shows that a topic is shaky, that becomes the next thing to work on.

Some applicants book one or two sessions once their invitation arrives. Others prefer a lesson a week through November, so that thinking aloud feels normal by December. The free 30-minute introduction is the place to work out which suits.

After each lesson, parents receive a short note on what was covered and what to practise next.

Nothing here is a promise about an offer. Interviews are conducted by the colleges, and Cognivia Tutoring is not affiliated with or endorsed by either university.

Who you would be working with

Lessons are with Archie Dyer, the founder of Cognivia Tutoring and its only tutor. There is no panel of tutors behind the website and no one else you might be passed to.

• Second-year Theoretical Physics student at UCL, after a First in his first year.
• 43 out of 45 in the IB, with 7s in HL Maths, Physics and Economics.
• Sat both the TMUA and the ESAT himself as a university applicant.
• Has experience preparing applicants for Oxford and Cambridge interviews in mathematics- and physics-based subjects.
• Tutoring for over two years. Enhanced DBS checked.

How he teaches. In Archie’s words: “I find where the understanding actually breaks down, which is usually two or three topics further back than where the marks were lost, and we rebuild from there. I would far rather a student asked me something they think is obvious than sat quietly and nodded.” There is more on the About Archie page.

You do not have to pay for interview help

It is worth saying plainly. Cambridge states: “Some companies offer interview preparation for a fee. These services are not endorsed by the University,” and “All official guidance is available free on our website and official channels.” Oxford Mathematics suggests that “it may be helpful for you to arrange a practice interview with a teacher”, and that “the main thing is that you do mathematics, lots of it, and that you find it interesting.”

So start with the free material and with your school. Paid practice is useful when a student wants more than their school can offer: someone outside school to practise with, feedback on how they explain, or extra sessions on the problems that keep going wrong.

Prices and practical details

Interview practice is priced as IB and A-Level. A 5-pack is held in a My lessons account, so lessons can be booked one at a time as the interview approaches.

• 1 hour, 1:1. Every lesson is with Archie. There are no group classes or mock-interview panels.
• Online on Google Meet, or in person around Marylebone, London (+£10). Times are shown in your own time zone.
• Free 30-minute online introduction, no card needed. One per student; a parent or guardian joins if the student is under 18.
• 24 hours’ notice to cancel, by email or phone. See the refund policy.
• Payment by Stripe at booking. Card, Apple Pay or Google Pay.