Here is the full list of all 15 Slingshot Puzzle achievements.
SlingshotPuzzle.Kubok10_desc
SlingshotPuzzle.Kubok50_desc
SlingshotPuzzle.Kubok100_desc
SlingshotPuzzle.Doors_desc
SlingshotPuzzle.Ice_desc
SlingshotPuzzle.Almaz1_desc
SlingshotPuzzle.Almaz2_desc
SlingshotPuzzle.Almaz3_desc
SlingshotPuzzle.Level1_desc
SlingshotPuzzle.Level2_desc
SlingshotPuzzle.Level3_desc
SlingshotPuzzle.Level4_desc
SlingshotPuzzle.Level5_desc
SlingshotPuzzle.Level6_desc
SlingshotPuzzle.Level7_desc