Abstract: Prefold, web scoring apparatus for signature folding machines or the like comprises mating first and second web scoring rollers, each scoring roller having alternating scoring blade and resilient roller portions. The scoring rollers are mounted, preferably on existing, rotatably driven nip roll shafts, upstream of a first web folding stage in which the web is cut into sheets and the sheets are transversely folded, the folded sheets being fed therefrom to a second web folding stage for folding at right angles to the first stage fold. Arc lengths of each of the scoring roller blade and resilient roller portions is equal in length to the second stage fold line. The scoring rollers, between which the web is advanced, are positioned and oriented on their mounting shafts so as to score the web in alternating directions corresponding to the direction of folding of each paper layer in the second folding stage.