Combine flour, baking powder, and salt; cut in shortening and cheese until mixture resembles coarse meal. Add milk, stirring until moistened. Turn dough out onto a lightly floured surface, and knead lightly 3 or 4 times.
Roll dough to 3/4-inch thickness; cut into rounds with a 2- inch cutter. Place biscuits on a lightly greased baking sheet; bake at 450° for 8 to 10 minutes.