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'Fit These Shapes' printed from http://nrich.maths.org/
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.