Continuity mistake: When Hundert packs up his stuff from the classroom he puts the Shutruk-Nahunte plaque in a box, with half of it sticking out and the inscription pointing outside. Later, when we see the box in his room, everything is the same only the plaque has been turned around.
Continuity mistake: During the first Mr. Julius Caesar quiz, Hundert is wearing a ring on his ring finger on the left hand. When the shot changes to show his hands adjusting the cards, there is no ring on that finger. You can even see the indentation on the finger where the ring should be.