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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?

Fit for Photocopying

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?

Photocopied Map

Age 14 to 16 Short Challenge Level:

The scale of a map is 1:10 000.

The map is reduced on a photocopier to 25% of its original area.

What will the new scale be?

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