CTMUA, STEP, MAT; 2x interviews
Interview 1: Math problems, personal statement; Interview 2: Math problems
Practice problems, talking through maths problems
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Think aloud, so interviewers can prompt you if needed
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: Cambridge Test of Mathematics for University Admission (CTMUA), Sixth Term Examination Paper (STEP), MAT (Maths Admission Test)
Number of interviews: 2
Skype interview: no
Time between interviews: None (back-to-back)
Length of first interview: 30 minutes; Length of second interview: 30 minutes
First interview talked a bit about my personal statement and asked me to go over some mathematical things I had written in it (so make sure you know what you've written about on your statement). Then a couple of maths questions, one related to geometry and another related to calculus, which is a nice range.
Second interview was all math questions.
Past papers, physics and maths tutor websites. Cambridge's
I had teachers help me with
The interviewers are looking for how you approach a problem. The questions are meant to be difficult, but just stay calm and be sure to say what you're thinking about - that way interviewer knows how to give you hints.