Qual questions seem like a great way to study for a new topic, since they usually test slightly deeper understanding than typical questions in a textbook. Princeton has this great archive of questions here:
http://www.math.princeton.edu/generals/topic.html
I was wondering if anyone knows of other universities with similar archives? I'm especially interested in questions from the special topics exam which is usually given orally to Ph.D. students in their 2nd to 3rd year. These tend to ask broader questions than the written exam taken during the first year and trying to answer these questions usually improves one's general understanding of a field.