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Preheat oven to 180°C. Grease and line a 23cm springform cake tin.
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Cream butter and sugar in electric mixture until pale. Scrape down the side of the bowl. Beat eggs in one at a time, making sure each is fully combined.
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Fold in sifted flour, baking powder, and coconut.
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Pour into prepared tin and spread batter out to level it. Arrange plum halves on the surface, cut side up. Do not press into batter - it will rise up around them in the oven.
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Bake for 50-60min or until a skewer inserted comes out clean. This may take slightly more or less time depending on your oven. Leave in the tin to cool.
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When cake is cool (don't worry if it isn't completely cold), remove from tin and place on a large plate or cake stand. Insert a skewer in less visible points around the plums (8-10 times over the cake) to allow the syrup to soak through more easily. Gently and gradually pour the warm (not boiling) syrup over the cake. If the cake and the syrup are both really hot, you run the risk of making the cake soggy, so it is best to pour the hot syrup on a cold cake, or have them both warm.
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If too much syrup comes down the sides of the cake, you may find it helpful to use a small knife or offset spatula to scoop some off and pour it back on top.
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Serve and enjoy!
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Store in an airtight container overnight in a cool place, and refrigerate it thereafter in warmer weather.