I use this set of questions with my general-ed freshman English class as well as with my Gifted 9 students. It contains reading questions for Books I, II, V, IX, X, XII, XXI, XXII, and XXIII. Questions concern plot elements but also practice with epic (Homeric) similes, epithets, characterization, personification,ornithomancy, xenia, and more. The answers are included!
(This is for the Fitzgerald translation.)