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On the Road

Four vehicles travelled on a road. What can you deduce from the times that they met?


Can you prove that the sum of the distances of any point inside a square from its sides is always equal (half the perimeter)? Can you prove it to be true for a rectangle or a hexagon?

A Scale for the Solar System

The Earth is further from the Sun than Venus, but how much further? Twice as far? Ten times?

Speed-time Problems at the Olympics

Age 14 to 16
Challenge Level

It is important to be aware throughout that these questions are (deliberately!) not as 'precisely' stated as typical textbook questions. For example, the phrase 'If she had continued running ...' from lane 2 requires an assumption to be made before computation of an answer.

There is no absolutely 'right' way to make these assumptions, although assumptions need to be made clearly.

One possible assumption might be that a runner runs at their average speed for the full distance.