A two piece hole-drilling and fastener-driving assembly consists of a three-sectioned drill bit and a three-sectioned drive collar. The drill bit has a fluted drilling section, a hexagonal driving section and a tapered section adapted to be received in a complementarily shape chuck of a rotary hammer. The drive collar has a first hexagonal portion which mates with the hexagonal drill bit section and is driven thereby. A second tubular portion receives the drilling section when the hexagonal portions are engaged. A third portion includes a fastener-engaging recess. This portion may take the form of a removable socket and the collar provided with a spring-biased ball retainer to hold the socket thereon and a second such retainer to hold the collar on the drill bit. The drill bit is inserted in the rotary hammer chuck and a hole is drilled in the workpiece. The drive collar is then slipped over the drill bit and a self-tapping fastener driven into the just-drilled hole.