Times

Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!

Clock Hands

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.

Ten Green Bottles

Do you know the rhyme about ten green bottles hanging on a wall? If the first bottle fell at ten past five and the others fell down at 5 minute intervals, what time would the last bottle fall down?

Out of Sync

Stage: 2 and 3 Short Challenge Level:
In each minute, the two clocks showed the same time for $40$ seconds, i.e. they showed the same time for ${40\over60} = {2\over3}$ of the day.

This problem is taken from the UKMT Mathematical Challenges.