Preheat oven to 425°F (220°C). Line a baking sheet with parchment paper.

In a medium bowl, whisk together flour, sugar, baking powder, and salt.

Stir in 1/2 cup of shredded cheddar cheese.

Add 1 1/4 cups of heavy cream and stir with a wooden spoon until a dough forms (about 30 seconds).

Transfer the dough to a countertop, leaving dry floury bits in the bowl.

Add up to 1/4 cup of cream, one tablespoon at a time, to the dry bits in the bowl, mixing until moistened.

Add the moistened bits to the rest of the dough and knead by hand just until smooth (about 30 seconds).

Pat the dough into an 8-inch circle, cut into wedges, and place on the prepared baking sheet.

Bake for 7-9 minutes, until just beginning to brown.

Remove from oven, sprinkle remaining cheese on each biscuit, and return to oven.

Rotate the baking sheet from front to back and bake until golden brown and cheese topping has melted (7-9 minutes).

Serve warm.