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Pre-heat your oven to 170 degrees Celsius.
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Prepare a loaf pan by greasing the inside with some butter, then push a sheet of baking paper inside, ensuring that it sticks on the bottom and the sides.
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Cream the butter and sugar together, preferably with an electric beater until pale a fluffy.
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Add your eggs one at a time beating through well on each occasion.
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Add the yoghurt and beat through one last time.
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Sift in the flour and baking powder and add your vanilla extract and blueberries. Then, use a wooden spoon or spatula to carefully fold those ingredients through until you end up with a smooth cake batter (be careful not to over-mix).
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Transfer the batter into your prepared loaf tin, then bake in the oven for 1 hour.
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Test to see if the cake is cooked by sticking a skewer or butter knife in the middle of the cake for a few seconds. If it comes out clean the cake is cooked. If not, cook for another 5-10 minutes.
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Turn the cake out on a board, then set aside to cool.