I am trying to compile a document of preparation questions to use in mock interviews with students applying to study Maths at top UK Universities.
I have many questions already, but it is always good to have more.
So what would be your favourite questions to ask students? These would have to be fairly short (whole question solvable in less than half an hour) with multiple stages or areas for further exploration/extension so that able candidates can get stretched.
Topics of interest are:
- Number Theory Problems
- Graph Sketching Problems
- Complex Number Problems
- Calculus Problems
- Mechanics Problems
Of course there are other fields, which I would appreciate your favourite questions about, and questions may even overlap, but I've put this list to hopefully get a broad coverage of the topics.