Hi gatsby girl, soduku is a logic puzzle & not a mathematical/numbers one. They usually use numbers but equally nine letters, symbols pictures etc could be used instead. I don't know what category nonograms fall into but I would say more logic than maths? & you can end up with a picture! The renogram where you have to follow a sequence of numbers in a grid is more puzzle too but not one of my favourites!
N.B. There is one large soduku & one large nongram to do in SATWE & a few simpler ones to do earlier on but they don't dominate the game. The pachinko game you can speed up by just repeatedly clicking on the mouse to release lots of balls at once - you don't have to fire one ball at a time!