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Heat oven to 180C/160C fan/ gas 4. Grease and line the base of a 20cm springform cake tin. Make the crumble topping by rubbing the flour and butter together with your fingertips until you have a crumbly mixture. Stir in the sugar.
For the cake, cream the butter and sugar until pale and fluffy. Add the egg, a little at a time, beating well after each addition. Beat in the vanilla. Sift the flour and add the almonds and baking powder. Fold in 1 large tbsp of the flour mixture into the batter, then add the rest, alternating with the yogurt.
Snip the stalks off the figs. Halve four of them and chop the rest. Stir the chopped figs and one-third of the raspberries into the batter, then scrape into the prepared tin. Lay the halved figs on top and sprinkle on half the remaining raspberries. Scatter on the crumble, then the rest of the raspberries, then the flaked almonds.
Bake in the oven for 1 hr 15 mins or until a skewer inserted into the centre of the cake comes out clean (check it after 1 hr). Leave in the tin for about 15 mins, then run a palette knife around the outside of the cake, carefully unclasp the surround, remove the base and the parchment, and slide the cake onto a serving plate. Serve with crème fraîche.