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Counting Counters

Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?

Cuisenaire Squares

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?

Broken Toaster

Age 7 to 11 Short
Challenge Level

Only one side of a two-slice toaster is working, so when two slices of bread go in side-by-side, each slice is toasted on one side after 2 minutes, but not on the other.

What is the quickest way to toast both sides of three slices of bread?

What about four slices? Five slices?