A novel soybean cultivar, designated 7085005, is disclosed. The invention relates to the seeds of soybean cultivar 7085005, to the plants of soybean 7085005 and to methods for producing a soybean plant produced by crossing the cultivar 7085005 with itself or another soybean variety. The invention further relates to hybrid soybean seeds and plants produced by crossing the cultivar 7085005 with another soybean cultivar.