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Answer: 10 ways
Two 5ps: 5p + 5p
One 5p: 5p + 2p + 2p + 1p
5p + 2p + 1p + 1p + 1p
5p + 1p + 1p + 1p + 1p + 1p
No 5ps: 2p + 2p + 2p + 2p + 2p
2p + 2p + 2p + 2p + 1p + 1p
2p + 2p + 2p + 1p + 1p + 1p + 1p
2p + 2p + 1p + 1p+ 1p + 1p + 1p + 1p
2p + 1p + 1p+ 1p + 1p + 1p + 1p + 1p + 1p
1p + 1p+ 1p + 1p + 1p + 1p + 1p + 1p + 1p + 1p
Total 10 ways
Loose Change
Age 11 to 14
ShortChallenge Level 
Answer: 10 ways
Two 5ps: 5p + 5p
One 5p: 5p + 2p + 2p + 1p
5p + 2p + 1p + 1p + 1p
5p + 1p + 1p + 1p + 1p + 1p
No 5ps: 2p + 2p + 2p + 2p + 2p
2p + 2p + 2p + 2p + 1p + 1p
2p + 2p + 2p + 1p + 1p + 1p + 1p
2p + 2p + 1p + 1p+ 1p + 1p + 1p + 1p
2p + 1p + 1p+ 1p + 1p + 1p + 1p + 1p + 1p
1p + 1p+ 1p + 1p + 1p + 1p + 1p + 1p + 1p + 1p
Total 10 ways
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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