Accomplish the indicated achievement to get the corresponding number of Gamerscore points:

Centurion (10 points): Get 100 or more rings.
Clear Green (5 points): Clear the Green Hill Zone.
Fast Green (10 points): Beat Green Hill Zone Act 1 in under 35 seconds.
Fast Marble (15 points): Beat Marble Zone Act 1 in under 80 seconds.
Star Light Zone (5 points): Get to the Star Light Zone.
Spring Yard Zone (7 points): Get to the Spring Yard Zone.
Labyrinth Zone (8 points): Get to the Labyrinth Zone.
Chaos Emerald (10 points): Get one Chaos Emerald.
Chaos Master (35 points): Get all the Chaos Emeralds.
Win (25 points): Beat the game.
Fast Win (30 points): Beat the game in under 40 minutes.
Perfect Win (40 points): Beat the game without dying.