Work at school is work either as the teachers pet at the highest rank for a high chance of the encounter
Disapoint at a crucial moment, go into the final encounter of the demetria storyline where youre in the arena and let your stats drop below zero (you may need to go into it with the bare minimum)
Pop quiz are for losers, im pretty sure you have to fail demetrias quiz about the books and the goddess, could be wrong about that last one though