A game apparatus includes a motorized bucket assembly, a plurality of game balls, and a plurality of shovel elements which are operative for scooping up the game balls and placing them in the bucket assembly. The motorized bucket assembly includes a bucket element which is rotatably supported on a pair of wheels, and one of the wheels includes a discontinuous surface thereon so that the bucket element is periodically turned as it is moved across a supporting surface. The bucket assembly further includes a spring biased plunger which is operative for shooting the game balls outwardly from the bucket element through an aperture in the outer wall thereof while the bucket element is moved across the supporting surface. An on/off switch is provided for selectively energizing a drive for the bucket assembly and a handle is attached to the switch so that the drive is energized when the handle is pushed downwardly, and de-energized when the handle is pulled upwardly. Game players must attempt to quickly gather their balls with their shovel elements and drop them in the bucket element before the plunger assembly shoots them back out. The first player to deposit all of his or her balls in the bucket element and pull the handle up to stop the drive is the winner.