Flying kings are a part of international checkers or draughts, the kind that’s played on a 10 X 10 board. Flying kings are not used in the more common form of checkers played on an 8 X 8 board—American or English.
Flying Kings in Checkers: Moving and Jumping
Rather than moving 1 square at a time like a regular king, a flying king can move any number of squares along an open diagonal. The maximum distance possible—from one corner to another—is 9 squares.
A flying king can jump any piece along a diagonal as long as there’s an empty square on the other side of it. The king doesn’t have to be right next to the enemy piece and it doesn’t have to land on the square immediately after it.
A king must make the maximum number of jumps possible on a turn. If there’s more than one way to jump that results in the same maximum amount of captures, you can choose which way to do it.
All jumped pieces are left on the board until a multiple jump is complete. They are then removed in the order, or in the reverse order, that they were jumped. A flying king may pass over the same empty square more than once, but it cannot jump the same piece more than once.
A flying king in checkers cannot jump its own pieces.
I hope this look at flying kings in checkers has been helpful.