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'Taking Steps' printed from http://nrich.maths.org/

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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