The present paper describes the results of theoretical as well as experimental investigations on the disc, ring and indentation tests of rocks. It has been found that the cause of the failure of test pieces subjected to these tests may be in the tensile stress on the plane of fracture, and that the strengths by the disc and indentation tests are fairly near to the tensile strength while the strength by the ring test is far greater than it provided that those strengths are determined by the formula (14) proposed by the authors.