All of the exams are in pdf format. The exams cover algebraic and geometric topology unless a contrary indication is given. Those are the two subjects covered in the Topology exam for students entering in the Fall of 2009 or later. (During some earlier periods general topology was an allowed subject.) The syllabus for the exam is available here.
January 2009 (general and geometric topology)
August 2008 (general and geometric topology)
Some of the exams administered in 1999 and earlier are available here.