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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. ### 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? 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:

The planet of Vuvv has $7$ moons which lie spread out on one plane in a great disc round it. These Vuvvian moons all have long and confusing names so scientists usually call them by their initials: $A, B, C, D, E, F$ and $G$ starting from the nearest one to the planet. When two of these moons line up with the planet it is called a 'lunar eclipse'. When three line up with the planet it is called a 'double eclipse', when four do it is a 'triple eclipse' and so on. Once in a while all seven moons line up with the planet and this is called a 'super-eclipse'.

Moon $A$ completes a cycle round the planet in one Vuvvian year, moon $B$ takes two years, moon $C$ takes three years, moon $D$ takes four years and so on.

How long is it between each 'super-eclipse' on the planet of Vuvv?