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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?

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Cuisenaire Rods

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

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Doplication

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?