In a bowl, combine flour, baking powder, baking soda and salt. Cut in cheese and shortening until crumbly. Add buttermilk; stir until just moistened.
Turn onto a lightly floured surface; knead 8-10 times. Roll out to 1/2-in. thickness; cut with a 2-1/2-in. biscuit cutter. Place on an ungreased baking sheet. Bake at 425° for 10-12 minutes or until golden brown.