These are probably the cause of the most anxiety. First,
let me say that if you don't want to prepare at all, that's
okay. The most important thing is to go in as relaxed as
possible, keeping in mind that even if you are shaking head
to toe you can do okay and that the judges will take your
nervousness into account.
It's hard to describe what the questions are like, beyond
"well-chosen." Some of them are pretty straightforward
or simple, and they'll lead to harder questions if you do
well. Some of them may, by sheer luck, be in subjects you
know well. Sometimes you may have absolutely, positively
no idea what the judge is even talking about, despite being
convinced that it's simple.
The general format seemed to be that each judge would ask
one question, possibly with a follow-up, and they'd cycle
back around if there was extra time. Sometimes the interviews
felt almost like normal conversations; at other times they
felt like the Inquisition. But you're never expected to
have a fully-formed answer ready. You're expected to reason
it out as best you can, often not actually coming to a clear
answer or any at all. The judges really do want to see how
you think when you don't know--how you figure things out.
The questions are not quite standard--judges often ask
similar questions or variations on a theme, but no one ends
up getting the exact same set of questions. One theory floating
around the eLounge during interviews was that they'd ask
a question until someone got it right, and then change things
up. Certainly, there's no attempt to keep students from
talking to one another or from looking answers up online.
After all, they chose us partially based on "curiosity"!
As a "calibration point,"' here's how I thought
I did on my interviews:
1. Missed a really, really obvious question. Then had fun
talking about an idea that had nothing to do with what the
judge meant, and floundered once we got back on track. Had
some more fun talking about my mental numberforms, since
I'd mentioned them in an essay and one judge was curious.
Took a really long time to answer a simple reasoning question,
and only got it with prompting. Completely failed to understand
the last question.
2. Got a simple question, but only with very significant
help. Rambled a lot on a fun question, but didn't come up
with an answer. Rambled a lot on a not-so-fun question,
and didn't get anywhere at all; judges took pity on me when
I finally mentioned I'd never taken a course on the subject.
3. Got one question pretty well. Completely failed on another,
and felt like the judge thought I was really dumb. Tried
and failed to solve another, and realized the solution as
walked out. Got one simple problem that I asked for when
I couldn't solve the former.
4. Got the first question pretty well because I happened
to have studied the subject at RSI. Even got a follow-up
question! Got another question, although it took me a while
to understand it. Got a third question after a pretty long
struggle.
The pattern you may be seeing emerge from the above notes
is that it's really hard to tell how you did! Nothing's
very clear-cut, and it's also not the end of the world if
you mess up, even if it feels like you Really Mess Up.