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

Prodigy (10 points): Rescue 30 or more Darwinians in the Darwinia Tutorial.
Fastidious (15 points): Eliminate every single monster on any map in Darwinia (excluding Garden).
Turning the Tide (15 points): Activate the Construction Yard, begin manufacturing Armour and obliterate the Ant Infestation.
Savior (25 points): Complete the Single Player Campaign.
Clear Vision (10 points): Upgrade any research program all the way to level 4.
The Bridge (10 points): Complete the Epilogue and help the Darwinians launch their first rocket.
Warzone Victor (10 points): Win 5 games in any Multiwinia game mode.
Master of Multiwinia (25 points): Win a game in every Multiwinia game mode.
Warzone Explorer (25 points): Play a game on every Multiwinia map.
Online Commander (15 points): Win a game of Multiwinia on Xbox LIVE.
Share the Love (10 points): Invite 5 other players to games of Multiwinia.
Stick Man Slaughter (30 points): Kill 65,536 Enemy Multiwinians.