The puzzles themselves are myriad and varied in design; you’ll do things such as spot a liar, get a ball into a hole by moving blocks, ferry chicks and wolves across a bridge, place queens on a chessboard, draw squares on a field of dots, and much more. Each one goes into your Puzzle Index for you to solve again later, and any riddles you miss during a chapter head to one place for you to solve later if you please, for your convenience. Depending on how many tries it takes to solve the puzzle, you’ll get more Picarats, which I guess is sort of your score because I can’t find anything else to do with them. Additionally, as you progress through the game, there will be points where you’ll have to have solved a certain number of puzzles to proceed, though if you’re overzealous like me this and talk to everyone this won’t be any problem.
Overall it’s a fairly well done system, but it feels a little like a missed opportunity in one way. As you start out the game, you’re solving puzzles related to the story, which is very clever, but through the vast majority of the game, it’s more like "Oh hi here solve this random puzzle kthx" from a lot of the characters. If the puzzle contents themselves were more integrated into the story I would be more pleased with how this game turned out.