A nonwoven sheet, having a first outwardly facing surface and a second outwardly facing surface. Wax is disposed in a wax pattern on the first surface; and oil is disposed in an oil pattern on the second surface. The oil pattern is not coincident the wax pattern so that wax blocks the oil from permeating through to the first surface. The first surface may be textured with peaks and valleys, having wax disposed on the peaks. This arrangement keeps the oil from contacting the target surface and leaving residue, while allowing the oil to collect and retain debris. The sheet may be executed as a dry sheet for cleaning surfaces such as floors or as a duster.