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.
Other mistake: At the beginning of the movie Mr. Hundert asks Martin Blythe to read the plaque with Shutruk-Nahunte's, King of Ansham and Susa, self-adulation. For some unexplained reason Martin skips the two passages referring to Shutruk's god Inshushinak. At the end of the movie his son does the same.
Other mistake: When Mr. Hundert is chauffeured to Long Island for the second competition, he looks at a St. Benedict's Yearbook page on which the photographs of the original three contestants appear. The heading on the Yearbook page is prominently misspelled "Triumvers" instead of "Triumvirs," in this film whose focus is Roman history.
Other mistake: When Sedgewick is asked to complete the writing on the blackboard by adding what Octavian was named he guesses 'Emperor'. Mr. Hundert agrees, however, later we see that Sedgewick has written 'Augustus', although we neither see him writing nor is this name mentioned by anybody, and Sedgewick himself doesn't have any clue.
Factual error: When Sedgewick shows off his sex magazins to his mates you can tell from the modestly covered beauties that they are from the fifties, not from the mid seventies when the movie is set. Also the hint theat they are 'from France' would have meant something in the fifties, not in the seventies.