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Triangular Clock
Age 11 to 14
ShortChallenge Level 
Why do this problem?
This problem offers a good opportunity for students to work systematically.Possible approach
This is a good starter question to have on the board as students enter the room.Key questions
- What numbers might go next to the 12?
- How many ways of putting the numbers on the clock might there be?
Possible extension
- Can the numbers 1 - 13 be arranged in a circle so that the pairs add up to a triangle number?
Possible support
TheThis 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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