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A Problem of Time

Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?

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Explore the relationships between different paper sizes.

Back in Time

How many times a day does a 24 hour digital clock look the same when reflected in a horizontal line?

Climbing Ropes

Age 14 to 16 Short Challenge Level:

Climbers use ropes of different diameters.

A 50 m rope which is 9 mm in diameter weighs about 2.7kg.

Roughly what would a 100 m rope of the same material, but of diameter 11 mm weigh?


This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.