There is only one score in the game: Monthly Score, which should be reset at 1th day of the month.

Solving easy puzzle gives +100 points added to Monthly score
Solving medium puzzle gives +200 points added to Monthly score
Solving hard puzzle gives +300 points added to Monthly score
Solving expert puzzle gives +400 points added to Monthly score

If player solves a puzzle in the calendar on the same day they should receive a Daily Bonus additional +50 points
If player solves all puzzles of the month they should receive a Monthly Bonus additional +3000 points