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'Coins' printed from https://nrich.maths.org/
A man has 5 coins in his pocket.
- He can make 13 different amounts of money with his coins
- The amounts of money he can make end with one of two possible digits.
- He cannot make up exactly 70 pence
- He cannot afford an item costing 1 pound
- He can make a prime number bigger than 10 with his coins.
Given these clues, can you work out what the coins are?
Is there only one possible combination of coins?
Extension:
Remove one of the clues. Are there any new possibilities for the values of the 5 coins?
Replace that clue and remove a different one, work out the new possibilities. Repeat for the other clues.
Can you remove a clue and only end up with your original solution(s)?
Which clues have the biggest impact?