A cupstock for making rimmed cups, such as coffee cups, can be manufactured from recycled paper fibers while having a rim-formation index (RFI) and/or structural and flexural factors, based on certain properties of the cupstock to facilitate a quality rim. For example, the RFI can be based on the thickness, ring crush MD, bending stiffness MD, and areal density of the cupstock. The cupstock can be made from 100% recycled fibers from old corrugated cardboard (OCC) and provided with structural and flexural factors within respective ranges to ensure adequate rim formation when converted into a rimmed cup.