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Round and Round the Circle

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

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Making Cuboids

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

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Quadrilaterals

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

The Moons of Vuvv

Age 7 to 11 Challenge Level:
You could look at just two moons and work out how many years it takes for them to coincide.
Which moons might it be good to look at first?
It might help to use a calculator and to jot your ideas on paper.