Apparatus and methods to score book covers are described. An example scoring apparatus includes a first scoring roll to oppose a corresponding second scoring roll to process a cover at a first location on a first side of the cover, and a third scoring roll to oppose a corresponding fourth scoring roll to process the cover at a second location on the first side of the cover. The first location and the second location correspond substantially to the thickness of a book to which the cover is to be applied. The first and the third scoring rolls are mechanically driven and rotate about a first axis of rotation and the second and the fourth scoring rolls rotate freely about a second axis of rotation.