The following information about Oxbridge Interviews is taken from The Ultimate Oxbridge Interview Guide.
What are interviewers looking for?
There are several qualities an interviewer is looking for the applicant to demonstrate during the interview. While an applicant may think the most ‘obvious’ thing interwiers are looking for is excellent factual knowledge, this is already diplayed through exams results. Whilst having an excellent depth of knowledge may help you perform better during interviews, you are unlikely to be chosen based solely on your knowledge. The main thing an interviewer is looking for is for the applicant to demonstrate critical thought, excellent problem-solving skills and intellectual flexibility, as well as motivation for the subject and suitability for small group teaching. It is also important for them to see that the applicant is willing to persevere with a challenging problem even if the answer is not immediately apparent.