A cut and score die apparatus is provided for progressively converting a sheet of material into blanks. The apparatus includes a punching section for punching scrap material from the sheet of material to define an array of interconnected blanks arranged in a grid of rows and columns on the sheet of material. A scoring section is provided for simultaneously scoring a first predetermined pattern on a trailing portion of a first row of blanks and a second predetermined pattern on the leading portion of a second, succeeding row of blanks on the sheet of material. A blanking section is also provided for piercing the sheet of material in a predetermined pattern to cut blanks from the sheet of material without producing any additional scrap material.