Don't Answer The Phone. Don't Open The Door. Don't Try To Escape.

http://www.imdb.com/title/tt0117571/

One year after the death of Sidney Prescott's (Campbell) mother, two students turn up gutted. When a serial killer appears, Sidney begins to suspect whether her mother's death and the two new deaths are related. No one is safe, as the killer begins to pick everyone off one by one. Everyone's a suspect in this case.