My interview was, tbh, mildly hilarious.
I was left wing at the time. Very left wing and politically active. My school insisted that I apply. I felt that Oxbridge was the root of all inequality in the educational system! I didn't really want to go. My headmaster refused to sign my ucca form until I did (I'm not kidding!)
The collage I applied to was very not left wing. The men who interviewed me were utterly polite and charming. At one point they asked me 'Why did you apply to us, don't worry we are not trying to find out if your grandfather came here'
To which I replied 'He was working as a miner at 12, so I doubt that you would have wanted him!'
When asked how I found the papers I told them they were on the table waiting for me, which was mostly nerves and a little bit of bolsyness!
I was very balanced at that point in my life, I had a chip on both shoulders!
They asked me all sorts of things to see if I could think on my feet and work things out from scratch.
Mt Dphil tutor specialises in selecting able students, what they are most interested in (she says) is how ell students cope with being told that their answers are wrong ie, can they absorb new information quickly and work with it
What the collage wanted in the year I went was very strong minded woman, as it was the first year it went mixed. I was such an arsy little shit at the time (just at the time my dh would ask! ) I was just what they wanted!
It was fantastic, I loved it there and had the time of my life. I spent 4 years arguing the toss with people who came from wildly different backgrounds to me. What a place, what a gift.