Mix the flour, butter, egg, sugar and salt and knead until a smooth dough just comes together. Cover in plastic wrap and refrigerate 30 minutes.
Preheat the oven to 200°C (approximately 400°F). Rinse the figs, remove the stalks and cut into quarters.
Transfer the dough to a floured work surface and roll out to 2-3 mm (approximately 1/8 inch) thick. Press into a tart dish 24 cm (approximately 9 1/2 inches) in diameter. Pierce the bottom with a fork. Place the quartered figs close together on the dough and dust them with powdered sugar. Bake until golden brown, about 25-30 minutes. Serve warm with fresh whipped cream if desired.