A jigsaw (2) having a housing (4) and a jigsaw support shoe (16) is disclosed. A motor in the housing (4) causes reciprocating motion of a jigsaw blade, and causes a fan in the housing to emit air from the housing. Air is driven by the fan via a connector piece (22) and a bridge member (20) towards the jigsaw blade in a direction transverse to a line of cutting action of the jigsaw (2). An inlet of a suction tube, connected to a source of suction such as a vacuum cleaner, is provided on the opposite side of the jigsaw blade to the bridge member (20). Provision of a stream of air in a direction transverse to the line of cutting action of the jigsaw (2) allows the outlet of the bridge member (20) to be located close to the jigsaw blade without obscuring the user's view of the location at which the blade cuts the workpiece, while the provision of an inlet to a suction tube on the opposite side of the jigsaw blade further constrains the stream of air to improve dust extraction.