# Clock Math

The GeoGebra below shows a clock with N positions. Starting from the N o'clock, the system will draw lines each time jumping J hours ahead.

**1.**Consider N = 12.**(a)**What is the shape of the figure obtained when**(i)**J = 3?**(ii)**J = 4?**(iii)**J = 6?**(b)**Which value(s) of J will result in a complete cycle? [Hint: A complete cycle means the figure visits all the positions.]**(c)**Which property must J have to result in a complete cycle?**2.**Try other values of N and J. See if your answer in question 1(c) is true.## New Resources

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