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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?

Rotation and Area

Age 14 to 16 Short
Challenge Level

A has coordinates (4,4) and B is obtained by rotating A about the origin O through an angle of 135ยบ anti-clockwise.

Calculate the area of triangle AOB.

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