There were more that I don't remember.  I don't remember exact numbers and
stuff, but something similar to this.  Most questions were then followed up by
other related questions.

Combinatorics
-find a formula for the nth Fibonacci number
-What is the Mobius function of a poset? Examples?
-Find the coefficient of m(lambda) when you expand s(3,2) in terms of the
monimial symmetric functions.
-Expand s(lambda) in terms of the homogeneous symmetric functions.
-What is the sum (over all partitions, lambda, of n) of the squares of the
number of stadard young tablauex of shape lambda?
-Dsicuss the relationship between rook polynomials and Sterling numbers of the
second kind.

Algebraic Number Theory
-which primes can be written as the sum of two squares?
-what's the class number of Q[root(-13)]?
-What are similarities and differences between these three rings: Z[root(-5)],
Z[root(5)], Z[root(-19)]
-Tell me if 191 is a square mod 97