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# Helen's Conjecture

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### First Forward Into Logo 1: Square Five

### First Forward Into Logo 2: Polygons

Links to the University of Cambridge website
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Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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Age 14 to 16

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- Problem
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Helen made the conjecture that "every multiple of six has more factors than the two numbers either side of it". Is this conjecture true?

For example, the third multiple of 6 is 18 which has six factors (counting 1 and 18), while 17 and 19, the numbers on each side of it, have two each being prime.

A Short introduction to using Logo. This is the first in a twelve part series.

This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.