If You complete the indicated task You'll get the allotted gamerscore.
Master (25) - Win 20 games (Single Player).
Pro Player (25) - Win 10 ranked online games.
Champ (25) - Defeat a chess personality with an ELO rating of 1000 or more.
Blitzkrieger (20) - Win 1 game (Single Player) in less than 5 minutes (personal time).
Grand Strategist (20) - Complete 30 puzzles.
Jack of all Trades (15) - Win 1 online game in all chess variants.
Rising Star (15) - Win online against a higher ranked player.
Veteran (15) - Play 100 games (Single Player).
Glorious (15) - Achieve an online rating of 1200 in any type of chess.
Chess Regular (10) - Play 20 online games.
Annihilator (10) - Capture all your opponent's pieces in Classic Chess (Single Player).
Apprentice (5) - Win 1 game (Single Player).