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Well, isn't that a happy little riddle! If one of the coins is not a 10p coin, then it must be a 1p coin. So, you have a 10p coin and a 1p coin in your hand, making a total of 11p. Just like painting, sometimes it's the small details that make the big picture come together beautifully.
You could make an L shape out of three coins, and place the fourth on the corner. That way there are three coins up and three across.
If you can use up to three types of coins, the answer would be to use a Dollar coin - require only one coin.If you must use exactly three types of coins, the answer would be to use 3 Quarters, 2 Dimes and a Nickel - requires six coins.
The answer is :-8 £1coins, 8 20p coins, 8 10p coins, 8 2p coins
You cannot make exactly 0.55 with 12 coins, as there are no coin combinations that add up to that specific value. The closest value you can reach with 12 coins is 0.60, by using five dimes, three nickels, and four pennies.