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Clock Hands

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.

On Time

On a clock the three hands - the second, minute and hour hands - are on the same axis. How often in a 24 hour day will the second hand be parallel to either of the two other hands?

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?

Estimating Angles

Age 7 to 14 Challenge Level:

Use the GeoGebra applet below to explore angles.

Tick and untick the box to show/hide the angle and challenge yourself to make different angles.