Preheat oven to 175 degrees C. Lightly grease a baking dish.
In a large pot with salted water, lightly boil the pasta for about 5 minutes until half cooked.
Beat the egg and milk together in a large cup. Add melted butter and mix well.
Place lightly cooked pasta in the prepared baking dish. Pour the milk mixture onto the pasta, salt and pepper to taste, mix everything well and smooth in shape. Add cheese.
Bake for about 40 minutes.