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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?

Factor Lines

Age 7 to 14 Challenge Level:

Which of the cards can be multiples?
Which can be factors?
Can any be both?
How will you remember what lines you have found?
How will you know you have got them all?