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How Many Squares?

This brain bender is going to go in stages -- each getting harder than the last...  See how far you can go!  Can you find a pattern?
 
Stage 1: How many squares do you see?

squares

solution

 
Stage 2: How many squares do you see?

squares

solution

 
Stage 3: How many squares do you see?

squares

solution

 
Stage 4: How many squares do you see?

squares

solution

 
Stage 5: How many squares would you find in a 10 by 10 grid?

hint

solution
 

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