Preheat the oven to 220C/450/Gas 7. Line a large baking sheet with baking parchment.
Put the flour into a bowl with the bicarbonate of soda, cream of tartar and sugar.
Chop the butter and the vegetable shortening into pieces and drop them into the flour.
Rub the fats into the flour using your fingertips – or just mix any old how – and then pour in the buttermilk, working everything together to form a dough.
Lightly flour your work surface. Pat the dough down into a round-edged oblong about 4cm/1½in thick, then cut out 6cm/2¼in scones with a fluted cutter.
Arrange the scones fairly close together on your lined baking sheet, and brush with beaten egg (to give golden tops), if you wish. Cook for 12 minutes, by which time the scones will be dry on the bottom and have a relatively light feel. Remove them to a wire rack to cool, and serve with clotted cream and jam.
Nigella says: "I like to make up quite a big batch of scones and freeze some (they thaw incredibly quickly) to produce a near-instant cream tea at some future date. Day-old scones can be revived by warming in an oven preheated to 150C/325F/Gas 2 for 5–10 minutes."