A right angle driving apparatus capable of operable attachment to a powered rotational drive device such as a drill, the driving apparatus being generally comprised of a worm gear drive encased within a unique block-shaped housing. The subject driving apparatus may be employed to transmit power at high velocity ratios between a shaft that is driven by the drill to a wheel having an axis of rotation perpendicular to that of the shaft. The worm gear drive may be used as a speed increaser but is preferably used as a speed reducer in which the worm is the driver and the wheel is the driven member. The worm wheel is slidably mounted on a cylindrical hub adapted to receive in either end a variety of driving tools such as sockets and screwdriver blades used to rotate fasteners. The worm wheel is driven by a worm attached to a drive shaft the journaled end of which may be adapted to receive driving tools as well to permit direct driving of tools in addition to right angle driving.