### 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?

# Weekly Problem 42 - 2009

##### Stage: 2 and 3 Short Challenge Level:

Beatrix has a $24$-hour digital clock on a glass table-top next to her desk. When she looked at the clock at $13$:$08$ she noticed that the reflected display also read $13$:$08$.

How many times in a $24$-hour period do the display and its reflection give the same time?

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.

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