Abstract: Litter boxes are provided that have a tear-away flap on the top and/or the front of the box. The tear-away flap can be pulled outward from the box to form a mat that can provide an entry to the box. Positioning the tear-away flap as a mat can expose a corrugate fluting structure on the tear-away flap. This structure can act as an anti-tracking trap as the cat leaves the box with litter on the paws. An overhang on one or more sides of the box (preferably three sides) can prevent litter from “splashing” out of the box onto the floor. After the pet owner is finished using the litter box, the pet owner can fold the tear-away flap back onto the top of the box to reseal the box to keep the litter in the box for disposal.