As said there are 650 puzzles in the game.
However I must say that I feel very clever playing the game and often get what to do quite quickly. When I discover a puzzle that I haven't seen before I usually move on since I have little to no possibility to solve it. I'm good at seeing pattern which is exactly what's needed with the tutorials around the island and helps with everything. The trick is to keep all senses open and don't stare blindly at something.
Oh ok i got it wrong. I thought you needed to finish 7 areas and the game was over so when you said " nearly 7 areas done " i got confused lol