Qual question archives?

Solution 1:

Harvard has one, Cambridge Tripos used to be harder (so I heard), Purdue also has some posted, and University of Florida's Math Department essentially answered your question (by copying from Dave Renfro) before you even asked by listing qual exams of other universities (UF's page seems to have disappeared completely; anyone who knows the replacement is free to edit).

And then there is Google...

Solution 2:

My alma mater has an an archive of them here. They don't have two different tiers of exams, but rather two pass levels: Master's and PhD (or, at least that's how it worked when I was there).