The invention concerns a medical hand held device in particular blood glucose meter comprising a housing (12) with a cassette compartment (14) for receiving an exchangeable test tape cassette (16) a drive assembly comprising an electric motor (32) and a gear arrangement (40) adapted for rotating a tape spool (20) of the test tape cassette (16) wherein the gear arrangement (40) has a worm drive (52) in which a worm (56) meshes with a worm wheel (58) and a multistage speed reducing unit (54) comprising several spur gears (60 66) arranged between the worm wheel (58) and an output gear (72) that can be directly coupled to the tape spool (20).