You may also like

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?

Rope Mat

Age 7 to 11
Challenge Level

I have a square table-mat made from rope that spirals from the centre. It is rather like this one:

The mat is a $14$ centimetre square. The rope is $2$ cm wide.

How many centimetres of rope will I need to make another mat just like it?

How much rope would I need to make a $12$ cm square, or a $16$ cm square?

Is there a quick way to work this out?