A game apparatus for a number of players. A plurality of pivoting paddles or catapult levers are radially disposed about a mounting base which has a centrally located upright cylinder or chimney. A catapult portion of each paddle extends into one of a plurality of compartments in the lower portion of the chimney. One or more balls are disposed within the chimney and rest upon one of the catapult portions. The location of the balls within the chimney is unknown to the players. The players singularly attempt to blindly hit the ball out of the chimney and catch it. A competitive point reward system is used if a player successfully locates and hits a ball upwardly from the chimney and successfully catches it.