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On Time
On a clock the three hands - the second, minute and hour hands - are on the same axis. How often in a 24 hour day will the second hand be parallel to either of the two other hands?
Right Time
At the time of writing the hour and minute hands of my clock are at right angles. How long will it be before they are at right angles again?
Age 11 to 14 Short Challenge Level:
What is the obtuse angle between the hands of a clock at 6 minutes past 8 o'clock?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
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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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.