Preheat your oven to 350°F (175°C). Grease and flour a cake tin.
In a mixing bowl, cream together the sugar and butter until light and fluffy.
Add the eggs one at a time, beating well after each addition.
In another bowl, sift together the flour and baking powder. Add to the creamed mixture alternately with the milk, beginning and ending with the flour mixture. Stir in the vanilla extract.
Pour the batter into the prepared cake tin. Bake for 30 minutes or until a toothpick inserted into the center comes out clean.
Allow the cake to cool in the tin for 10 minutes, then turn out onto a wire rack to cool completely.