Heat the oven to 180°C/ 160°C fan/Gas Mark 4. Grease and line a 9 inch (23cm) square tin.
Beat the sugar and spread together until light and fluffy. Add the vanilla and beat in the eggs one at a time until well combined.
Stir in the yogurt and then the flour, bran flakes and blueberries. Pour into the prepared tin and spread evenly with the back of a spoon. Press in the remaining blueberries and scatter with the leftover bran flakes. Transfer to the oven to bake for 25–30 minutes until a skewer comes out clean.
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