Harry Potter: Mastering Magic is a collection of mini games revolving around Potter's main activity at Hogwarts (yes, that would be studying). The game has an interesting wrap-up where you need to play for a whole school year and pass your final exams. The game consists of the following mini games:

Astronomy - memory game (connect stars to replicate a star configuration)
History of Magic - quiz (Potter trivia)
Divination - visual recognition puzzle (an object is twisted in a crystal ball, the player must choose the right object out of several similar ones)
Transfiguration - a Tangram variant
Potions - memory game (count ingredients)
Care of Magical Creatures - common sense puzzle (feed the Thestral the right food)
Charms - word game (explore a grid of letters and form a spell)
Herbology - logic puzzle (grow plants by casting the right spells)