This mixing machine comprises a mixing head that attaches to a container, forming a closed mixing receptacle. The head is pivotably supported in a frame such that the closed mixing receptacle can pivot to perform the mixing. The mixing head also has a rotationally driven tool which cleans the bottom of the head, supplying a low-energy transport stream for material to at least one second tool carried by the head. The second tool performs the mixing and is located inside the movement path of the bottom-cleaning first tool. The first tool has a scoop positioned in the direction of rotation of the tool with its edge facing in the direction of rotation and outward in the radial direction. The first tool comprises a first scoop section, a second, wall-cleaning scoop section and a recess open toward its closure more remote from the wall through which the second tool passes during rotation of the first tool.