My interview was in December. I arrived the day before, and stayed the night in accommodation provided by the college. Most of the next day was spent either looking around Cambridge, or spending time in the JCR, which had films playing throughout most of the day.

At about half past 3 (the time varies throughout the day for different candidates), I sat a 1 hour test along with 2 other people. Immediately after the test I took all of my workings to another room, where I was then interviewed by 2 interviewers. The interview consisted of discussions concerning the test, and working on problems that had either been started but not finished, or done incorrectly, with a lot of discussion about methods and reasoning.

In the interview, it started by one of the interviewers asking me for a question in which I felt I did well in, and going through my method for that, whilst the other interviewer went through the rest of my working to find any unfinished or incorrectly solved questions. After this, these questions were discussed, and I attempted to solve any incorrect or unfinished problems whilst discussing my methods and new methods being suggested.

For me, it felt rather relaxed, and there wasn't much pressure to rush through the questions, and the interviewers made sure that any new ideas had been properly understood. The questions varied from graph sketching, to logic problems, to mechanics problems, and pure maths problems, some being quite direct applications of A-level theory, whilst others were quite different in their presentation. Trinity college provides some previous interview test questions online.

Using the provided online past test questions, and making sure that I tried and completed all of them, even if it took me longer than the time I would have in the test, so that I could get a good understanding of the structure of the test, and style of questions.

Don't be afraid of your interviewers - if you are doing a problem, they want to help you get the answer, and they want to understand your thought process, and communication is key to this.

If the type of interview allows for it, take plenty of time to relax both before and after - if you spend the day revising, then you'll likely not be in a good state of mind when it comes to doing the actual questions.

afterwards you can't change what has happened, so try not to think too much about what you feel went wrong, and maybe try to think about other things entirely.