Take a counter and surround it by a ring of other counters that
MUST touch two others. How many are needed?
These squares have been made from Cuisenaire rods. Can you describe
the pattern? What would the next square look like?
We can arrange dots in a similar way to the 5 on a dice and they
usually sit quite well into a rectangular shape. How many
altogether in this 3 by 5? What happens for other sizes?
An equilateral triangle can be dissected into four (equal) smaller equilateral triangles.
Can you dissect an equilateral triangle into six smaller ones, not necessarily all the same size?
Is it possible to dissect a larger equilateral triangle into any number of smaller equilateral triangles?
Are there any numbers that are impossible?