A system for playing a paintball game with fixed paintguns includes target objects. At least some of the target objects include an impact sensor and an element for issuing an alarm if the impact sensor detects an impact. At least some the target objects are movable about the game site. At least one rotatable paintgun mount that is adapted for receiving a paintgun is positioned for aiming a paintgun at the target objects. The paintgun mount has a passageway with an inlet for receiving a gas under pressure and an outlet connectable with a gas inlet port on a paintgun. A hopper has a receptacle for paintballs and a tube that extends from the receptacle to the paintgun mount, which is connectable to an ammunition port.