These are quests that are given out in Knight's Stand area of Freemarch zone.
“Sir Olgedon would like you to prove your might by destroying a Practice Dummy in Knight's Stand...Quest:Trial of Strength
“Win the Race by touching all the Checkpoint Banners in order before Squire Chauncey. Return to...Quest:Trial of Fleetness
“Eat twenty-four pieces of poisoned cheese in the time limit. Each causes damage, though Big...Quest:Trial of Endurance