A ream wrap package formed by wrapping a sheet of polymeric film around a stack of paper, the sheet having at least one line of weakness formed therein, to form a rectangular tube with sides overlapping, sealing one side to the other to form a girth seal, closing the tube at each end to form an envelope seal with tucked in ends and overlapping flaps, at least one of which is trapezoidal, so that in the formed package there is at least one line of weakness extending along the whole length of a surface of the package outside the girth seal, positioned so that it terminates at each end of the package within a region of the transverse direction defined by that portion of the overlapping flaps where there are only two layers of overlapping film.