A reciprocating cutting tool is provided, wherein the tool has a reciprocating saw mode and a jig saw mode. The tool includes a reciprocating mechanism; an actuating mechanism and a cutter-lifting mechanism. The reciprocating mechanism includes a reciprocating rod and the cutter-lifting mechanism includes an actuating member and a pushing member. The actuating member includes a first engaging portion and a second engaging portion when the reciprocating rod is driven to perform a reciprocating motion, the reciprocating rod drives the pushing member to deflect close to the first engaging portion or second engaging portion; when the first engaging portion or the second engaging portion is driven to move close to the pushing member, the first engaging portion or second engaging portion pushes the pushing member towards the side which the first engaging portion or the second engaging portion deflects to force the reciprocating rod to implement a cutter-lifting motion.

Apparatus for converting between rotary motion and linear motion includes a rotatable piece being rotatable about an axis; at least one member having a linking surface facing the rotatable piece and arranged for movement relative to the axis of the piece; and a means for linking the linking surface of the respective member and the surface of the rotatable piece, so that rotational motion of the rotatable piece causes linear movement of the at least one member, and/or linear movement of the at least one member causes rotational motion of the rotatable piece. A sawing device may include said apparatus for cutting by repetitive reciprocating cutting action. A saw blade may be configured for such a sawing device.

A hole saw includes a base member configured to secure the hole saw to a drive device and a plurality of blade members where each blade member is connected to and disposed orthogonally to the base member via a respective extender. Each blade member has cutting teeth extending in a respective cutting direction and distances between the cutting teeth and the base member vary along the respective cutting direction of the respective blade members. Each respective extender is configured cantilever support opposite, freestanding distal ends of the respective blade member where each distal end of each respective blade member is disconnected from the distal end of an adjacent blade member.

A power tool attachment saw according to the invention is provide and includes a body plate, a connector section and a plurality of cutting walls. The body plate is a planar body and the connector section positioned on one side of the planar body and adapted for attachment to an oscillating power tool. The plurality of cutting walls are positioned orthogonal to and extend from exterior edges of the planar body to form a material receiving space. The plurality of cutting walls provide a uniform cutting edge about the material receiving space.

A hole saw includes a base member configured to secure the hole saw to a drive device and a plurality of blade members extending orthogonally to the base member. The blade members are configured to cut into a structure to form a polygonal opening in the structure in response to rotational movement of the hole saw by the drive device. Each blade member is attached to the base member in a fixed position relative to the base member and has cutting teeth extending in a respective cutting direction. First and second blade members of the plurality are disposed parallel to each other and have I-shaped faces that face each other. Third and fourth blade members of the plurality are disposed parallel to each other and have I-shaped faces that face each other.

Apparatus comprising: a rotatable drive shaft (12): one or more members (16a-d) mounted for oscillators, pivoting motion: motion conversion means (17, 28a-d, 16a-d) for convening rotational motion of the drive shaft to the oscillatory, pivoting motion of the one or more members: means coupling the or each member and one or more saw blades (14a-f) so that the oscillatory motion of the one or more member causes oscillatory cutting action of the or each blade. There is also provided a saw blade, and a method of attaching a saw blade.

A power tool attachment saw according to the invention is provide and includes a body plate, a connector section and a plurality of cutting walls. The body plate is a planar body and the connector section positioned on one side of the planar body and adapted for attachment to an oscillating power tool. The plurality of cutting walls are positioned orthogonal to and extend from exterior edges of the planar body to form a material receiving space. The plurality of cutting walls provide a uniform cutting edge about the material receiving space.

A cutting assembly for cutting with at least two saw blades simultaneously, includes a motion conversion means comprises: a first part and a plurality of second parts, for example a first bevel gear (30) and a plurality of second bevel gears (32). The first part is arranged for rotation about a central axis thereof and coupled to a drive means (12) for causing the rotation. The first and second parts are arranged such that the rotation of the first part in a direction of rotation causes rotation in a corresponding direction of rotation of each second part about a respective axis extending away from the central axis of the first part. The cutting assembly also includes, for each second part, a coupling means for coupling the second part to a respective cutting blade (100a-f) and including a further motion conversion means, such that the rotation of the second part causes cutting motion of the cutting blade.

A power tool attachment saw according to the invention is provide and includes a body plate, a connector section and a plurality of cutting walls. The body plate is a planar body and the connector section positioned on one side of the planar body and adapted for attachment to an oscillating power tool. The plurality of cutting walls are positioned orthogonal to and extend from exterior edges of the planar body to form a material receiving space. The plurality of cutting walls provide a uniform cutting edge about the material receiving space.

A hole saw includes a base member configured to secure the hole saw to a drive device and a plurality of blade members where each blade member is connected to and disposed orthogonally to the base member via a respective extender. Each blade member has cutting teeth extending in a respective cutting direction and distances between the cutting teeth and the base member vary along the respective cutting direction of the respective blade members. Each respective extender is configured cantilever support opposite, freestanding distal ends of the respective blade member where each distal end of each respective blade member is disconnected from the distal end of an adjacent blade member.