Pre-heat your oven to 160°C/140°C fan.
Line a 2x20cm sandwich tins with greaseproof paper or reusable baking liners.
Roughly chop your Oreos (16 Oreos). I cut mine into quarters, but I don't worry if they break up a bit more. It's nice to have some larger and some smaller pieces.
Put the rest of your ingredients into a large bowl (225g self-raising flour, 2 level tsp baking powder, 225g caster sugar, 225g margarine or butter, 4 medium eggs, ¼ tsp vanilla extract).Beat, either by hand or with an electric mixer on a low speed, until the ingredients are combined and there are no lumps in the margarine/butter.Fold in the chopped Oreos. Divide the cake mixture evenly between the prepared tins. Use the back of a spoon or spatula to spread the mixture across the tin and then level the top (it doesn't have to be perfect, just roughly even).
Bake your cakes for c. 35 minutes, until a skewer inserted into the centre comes out clean.
Once baked, remove your cakes from the oven. Leave the cakes to cool in their tins for c. 10 minutes before removing them from the tins and placing them on a wire rack to cool completely before decorating.