University of Cambridge interview questions

So I did an online interview for the specific college i applied to. They initially asked a mathematic question on deriving the taylors series derivation of sine and cosine. They then pivoted to a question about physics and energy preservation and then shifted to a question about why I wanted to do chem eng.

I was asked to prepare a presentation on a project I had worked on followed by a panel interview. Heard back almost immediately after the interview as they were keen to hire.