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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?

Mystery Matrix

Age 7 to 11 Challenge Level:

Can you work out which number is used twice? This will get you going.
How can you keep a check on which numbers you have used?
You could print off this sheet which has two copies of the grid on it.