The symptoms of chordoma vary depending on the location of the tumor. As it grows, it exerts pressure on surrounding parts of the brain or spinal cord. No matter where a chordoma grows on the spine it may cause weakness or a numb sensation in the back, legs and arms. Double vision and headaches are common signs of a chordoma at the base of the skull. When it develops in the sacrum (tailbone), the person may experience incontinence.