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Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

Watch the Clock

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

Walk and Ride

How far have these students walked by the time the teacher's car reaches them after their bus broke down?

The Hare and the Tortoise

Age 7 to 11 Challenge Level:

Most of you will know the story of the hare and the tortoise with the moral tag "slow and steady wins the race".

Tortoise and hare.

In this version

  • The race is $10$ km (kilometres) long.
  • The hare runs at $10$ times the speed of the tortoise.
  • The tortoise take $2$ hours and $30$ minutes to complete the race.
  • The hare arrives at the finish $30$ seconds after the tortoise.

For how long does the hare sleep?