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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.

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?

Quadrilaterals

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

Four Go

Age 7 to 11 Challenge Level:

Where on the number line do you want to put a mark? How will you make that answer from the numbers in the grid?
You could use a calculator to check your answers if your opponent doesn't agree!
How will you stop your opponent from getting four in a line before you?
Are there any good places on the number line to start? Are there some places which might not be so good to start? Why?