In a food processor, combine the grated cheese, flour, sugar, paprika, and 1/4 teaspoon salt. Pulse 15–20 seconds until well mixed and cheese is finely chopped.
Scatter the cold butter pieces over the mixture. Pulse again until it looks like pebbly crumbs.
Add the ice water and pulse just until the dough starts to clump together. Don’t overmix.
Divide the dough into 2 or 3 portions, shape each into a ball, then flatten into squares. Wrap each in plastic wrap and refrigerate for at least 1 hour (or up to 3 days).
When ready to bake, preheat oven to 375°F. Roll each chilled dough square to about 1/8–1/4 inch thick.
Cut into 1-inch squares using a pastry wheel, pizza cutter, or sharp knife. Transfer to an ungreased baking sheet, leaving a little space between crackers.
Poke the center of each cracker with a toothpick. Sprinkle lightly with extra kosher salt.
Bake 18–20 minutes until golden and crisp. Let cool completely on the baking sheet.
Notes
Nutrition per serving: Calories: 162 | Total Carbs: 10g | Net Carbs: 9g | Fats: 11g | Protein: 5g