Preheat oven to 350 degrees F.
In a medium bowl, mix flour, baking powder, sugar, and salt together using a fork; cut in shortening until it resembles cornmeal. Add cheese. Stir in buttermilk all at 1 time just until blended. Do not over stir. Drop by tablespoonfuls, or use an ice cream scoop, onto a well greased baking sheet. Brush dough with melted butter. Bake for 12 to 15 minutes.