Here are a few tips to get you started:
SPOILER
The minotaur (6 power) always faces away from a real chest (ie not a mimic), and every real chest has a minotaur guarding it. A minotaur could be 'guarding' both a real chest and a mimic, so be careful.
The gargoyles (4 power) always face each other
The Mine King (power 10) will always be in one of the four corners, and will drop a scroll that disarms every mine.
There are more secrets to the game (as far as I know, every enemy except for skeletons, bats, and the mimic have some kind of rule or mechanic that gives clues as to their whereabouts)