Even though I should be a pro at this, I never seem to leave myself with items to correct during the down time. I end up tidying up my briefcase and sorting through any paperwork. Occasionally during a final, I sort through the dozens of markers I carry about. I test and throw out all those which are dried out.
Weekend classes are a little different as an exam can only take up a portion of a 7-hour day. I arranged this midterm for the end of the morning session. That makes it easier for student who finish early to get a longer break. It also means though, that they'll be pretty tired and less likely to embrace new material in the afternoon.