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What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?

Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?

Making spirals with LOGO

I noticed this about streamers that have rotation symmetry : if there was one centre of rotation there always seems to be a second centre that also worked. Can you find a design that has only one centre of rotation ? Or if you thought that was impossible, could you say why ?

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

How many teddies are in the jar? How many teddies could you fit in your classroom?

Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!