In a medium bowl, stir together the cornflour and sugar. Add the butter and cream well. Add eggs, one at a time, mixing well after each addition. Combine the flour and baking powder; stir into the sugar mixture until a dough forms. On a lightly floured surface, roll the dough out to ½ cm thickness and cut into desired shapes with biscuit cutters. Place biscuits 2.5cm apart onto a dry baking tray.
Bake for 8 to 10 minutes in preheated oven, until biscuits are golden brown at the edges. Allow biscuits to cool on baking tray for 5 minutes before removing to a wire rack to cool completely.