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'Fit These Shapes' printed from

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If we take sixteen of the blue squares we can fill the frame below.

What if we used the green circles? What is the largest number of circles we can fit into the frame without them overlapping?
Then there are the other shapes. (They each just fit into the size of the blue square.)
What is the largest number of each of these you can fit into the frame?

You may like to make some predictions before trying out your ideas. You can print the frame and the shapes here.