A jig is provided for use in cutting synthetic shingles or tiles, as comprising a table and a clamping bar, with fasteners securing the clamping bar to the table for clamping a shingle or tile between the table and the bar, with the bar being used as a guide for sliding a cutting tool therealong, at any of an infinite number of angles, for making an infinite number of angled cuts to the shingle or tile. The table may be constructed having a base with a frame, and a removable and replaceable insert.