Preheat oven to 425 degrees F. Lightly grease or oil an 8 x 8-inch square pan or 9-inch round baking pan.
In a medium mixing bowl, whisk together the flour, cornmeal, baking powder and salt until combined. In a small bowl, whisk together the milk, maple syrup, melted butter and eggs. Add the liquid mixture to the dry ingredients and stir just until moistened.
Pour the batter into prepared pan and bake for 20 to 25 minutes, until lightly browned and a cake tester comes out clean. Remove from the oven and serve warm with butter and a drizzle of maple syrup.