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'Up and Down Staircases' printed from https://nrich.maths.org/

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You may find it helpful to use some blocks to make the staircase each time, or to draw a picture of the staircase.

How will you record the total number of blocks used in each staircase?

Have you noticed that you can rearrange the blocks in each staircase to make a square shape?
Have a go yourself. How might this help you work out the total number of blocks in each staircase?
You can click below to see a picture.