Squaresville
How many squares are there in a 3 x 3 grid like this one?

Don’t answer so fast! Sure, there are 9 small 1 x 1 squares, but there are 2 x 2 squares, too. And the whole grid is a 3 x 3 square. So what’s your answer now?
Count the squares in these figures:
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a) |
b) |
c) |
What size grid would give you exactly 100 squares? Why isn’t it a 10 x 10 grid?