STEP; 2x interviews
Interview 1: probability and geometry questions; Interview 2: number theory questions
Look up maths interview questions
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Don't worry if you realise later that you made a mistake
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: 2
Skype interview: no
Time betwen interviews: 45 minutes
Length of first interview: 30 minutes; Length of second interview: 30 minutes
Both interviews jumped straight into questions: some on probability, some on geometry and proofs and some on number theory.
I prepared by using practice papers and the Further Maths Support Programme. I also searched for maths interview questions online and used the Student Room for advice.
Make sure everything on your personal statement is true and you can expand upon whatever you have mentioned if questioned on it. In the interview, try to answer the questions as best you can and don't beat yourself up if you get something wrong or realise afterwards you made a mistake.