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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?

First Connect Three

Age 7 to 11
Challenge Level

Are some numbers part of more lines of three than others? This might affect whether we aim for them or not.
How can you get 1 by spinning the spinners (or by throwing two standard 1-6 dice)? How many ways are there altogether?
How can you get 12 by spinning the spinners (or by throwing two standard 1-6 dice)?
It might be useful to look at all the numbers on the grid in turn in this way.