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Heat a large frying pan until hot. Dry-fry the mince until browned, breaking it up with a fork. Crumble in the stock cube and 1 tbsp of the flour, and mix well. Add the Worcestershire sauce and peas, and mix well to combine.
Tip the mince mixture into a bowl and cool a little, before stirring in the mash and shaping into 6 cakes. Dust the cakes in the remaining flour, then dip them into the egg, then the crumbs. Chill for at least 10 mins, longer if you have time.
Heat the oil in a large pan. Fry the cakes for 3-4 mins each side, until golden brown. Drain on kitchen paper. Season with a little salt and serve with baked beans.