In your food processor's bowl, combine the sifted plain flour, icing sugar, and salt. Pulse for a few seconds to mix them. Add the very cold cubed butter and blend until you achieve very small crumbs of butter. Then, add the egg and mix until a rough dough begins to come together.
Bring the dough into a ball and place it between two large sheets of baking paper. Lightly flatten it with your hands, then use a rolling pin to roll it into a large disk about 3 to 4mm thick (1/6 to 1/8 inch). Place the rolled dough on a flat tray in the fridge to chill and rest for at least one hour, or overnight.
After chilling, remove the dough from the fridge and peel off the baking paper. Using a round cookie cutter, cut out disks of pastry that are slightly larger than the tartlet pans you are using. For example, if using mini tart pans that are 7 cm (1/4 inch) wide, cut out pastry disks that are about 10 to 12 cm (3/8 to 1/2 inch) wide.
Line the tartlet pans with the pastry, gently letting it fall down the sides of the pan. Press along the edges where the sides meet the bottom to ensure the pastry fits snugly. Pop the pans into the fridge to chill for at least 1 hour, or better yet, overnight. If you have leftover dough, roll it out again and chill for at least 2 hours to make more tartlet crusts.
Preheat your oven to 160 degrees Celsius / 325 degrees Fahrenheit. Prick the bottom of the pastry with a small fork. Cover each crust with a piece of crumpled baking paper, then fill with baking weights, dried beans, or rice.
Bake for 15 minutes. Take out the weights and baking paper, then bake for another 12 to 15 minutes. You'll know it's ready when the bottom feels dry to the touch and the edges turn a light golden color. Let it cool completely before moving on.