4x 1 hr interviews, over 2 days
All interviews: 1-2 maths problems, increasing in difficulty and complexity
Talk your way through' a MAT paper with a friend
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Interviewers are testing mathematical intuition, not knowledge.
Remember this advice isn't official. There is no guarantee it will reflect your experience because university applications can change between years. Check the official Cambridge and Oxford websites for more accurate information on this year's application format and the required tests.
Also, someone else's experience may not reflect your own. Most interviews are more like conversations than tests and like, any conversation, they are quite interactive.
Test taken:
Number of interviews: 4
Skype interview: No
Interviews spread over 2 days
Length of interviews: 30 minutes each
All my interviews at both colleges (New and St Hugh's) were purely academic, with no small talk besides confirming I was the person they were expecting. Each interview question began with a fairly straightforward premise, for instance working out the next few terms in a given sequence. The questions grew in complexity and difficulty through the interview, and there was a mixture of writing down/working out the answer and discussing my thinking with the interviewer. I got stuck at various points in all my interviews, and the interviewers gave small hints to try and push me back onto the right track.
In two of my interviews, it was just the one question which took the entire half hour. In the other two interviews, the first question took approximately twenty minutes and then another question (with less depth, such as "sketch this graph") took the rest of the time.
I found the first interview
I only did past papers for the
My school also offered me
On the train to my interviews I also re-read my personal statement, but this didn't come up in my interviews at any point.
The interviewers are really looking to test your mathematical instinct, rather than knowledge, so I don't think it's valuable trying to cram learn a new topic from textbooks the night before - they know not everyone has learnt all the same material and are interested in how you think, not what you know.