An attachment for a stand mixer includes an ice block-receiving chamber having an inner cavity and a lower side defining an output opening and a blade in a fixed position along a portion of the opening and partially extending into the inner cavity. The attachment for a stand mixer further includes a plunger mounted with respect to the ice block-receiving chamber so as to be moveable into the inner cavity toward the lower side along an axis and to be rotatable around the axis, the blade having an edge that extends axially away from the axis and a drive shaft having an input end coupleable to a power output of the stand mixer and a drive end mechanically coupled with the plunger to drive rotation thereof about the axis.