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Make a cube out of straws and have a go at this practical challenge.


Reasoning about the number of matches needed to build squares that share their sides.

Tangram Paradox

How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!

Taking Steps

Age 7 to 11 Challenge Level:

In each of the pictures the invitation is for you to:

Count what you see:
how many bricks? sectors? circles?

Identify how you think the pattern would continue:
how many will be in the next layer/ level?

Look at what would happen if you started (or ended) with a different number of items:
how many will there be in total?

Pattern of bricks piled in a pyramid
Radial Pattern of chains joined at the centre and by a circle of chains around the edge
7 circles inside each of 4 circles inside one large circle