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Set the oven to 2200C/4250F/gas mark7. Oil a baking tray.
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Put the flour into a mixing bowl. Add the butter or margarine and rub in with your fingertips until the mixture resembles breadcrumbs.
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Set a little cheese aside and add the rest to the flour mixture. Season with salt, pepper, mustard and cayenne. Bind to a soft, spongy dough with half the egg and a little milk.
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On a floured surface, knead the dough gently until just smooth. Roll out to a rectangle a little less than 0.5cm thick. Cut the dough into six strips 2.5cm wide.
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Wind the strips of dough in a spiral around the hot dogs making sure that there is only a little hot dog showing at each end and hardly any in between the joins of dough. Set on the baking tray.
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Brush the hot dogs with the remaining egg wash and sprinkle with the saved cheese. Bake for 10 – 15 minutes until the scone dough is crisp and golden brown.