Exchangeable chamfer end mill heads have angled cutting edges that form chamfered or beveled edges on a workpiece. They can also debur workpiece edges or spot and countersink a hole prior to drilling. These detachable heads have flutes to carry chips away from workpieces and a stem to connect to a compatible holder. They can be replaced with new heads of the same type or different types without removing the holder from the machine. They require fewer tool changes than solid tools when making different types of cuts on the same workpiece.