Each Puzzle has its own goal or objective that you need to complete in order to progress.
Your goal will also be displayed at the top of the screen while you’re in the Puzzle. You will need to fulfill the requirements of each goal to complete the Puzzle.
Once you have completed the goal, you will progress onto the next Puzzle. 
_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-
Harry Potter: Puzzles & Spells Game GUIDE