Pre-heat the oven to 160ºC (320ºF). Prepare an 18cm (7") springform tin.
Using a stand mixer (or by hand) beat the sugar and butter together until light and fluffy.
Add the egg and vanilla and continue to mix for a minute or two.
Mix the flour and baking powder together.
Add to the wet ingredients along with the milk. Gently work in the ingredients until everything is combined.
Pour into the prepared tin and bake for 30-35 minutes until the top feels slightly bouncy and an inserted skewer comes out clean.
Let the cake sit for around ten minutes and then remove from the tin. Allow to cool completely.