Preheat oven to 425. In a food processor, add the flour, baking powder, sugar, and salt and pulse to combine.
Cut the cold butter into small cubes and sprinkle evenly on top of the flour mixture.
Pulse until completely combined or the butter is incorporated. Add the paprika and cheddar cheese and pulse again, only until incorporated into the flour mixture.
Scrape down the sides of the bowl and pour the buttermilk evenly over the flour and pulse until a dough forms.
Scoop out onto a floured surface and drool into a dough, about ¾ inch thick.
Cut into squares and place on a parchment-lined baking sheet. Brush with buttermilk and bake for 12-15 minutes or golden brown.