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Thursday, July 24, 2008

Sticking Away Squares

Here you see five equal squares.

First Question: Can you leave just three squares by taking away three sticks?

Second Question: Here you see six equal squares.

Can you leave just three squares by taking away five sticks?

Third Question: Can you leave two complete squares only, by taking away two sticks from the pattern shown below?


Fourth Question: Can you leave two complete squares only, by taking away eight sticks from the pattern shown below?


Fifth Question: Can you leave six squares only, by taking away eight sticks from the pattern shown below?


Sixth Question: Can you leave three squares only, by taking away six sticks from the pattern shown below?



First Answer:


Second Answer:


Third Answer: The following solution contains two squares (a large square and a small one):


Fourth Answer: The following solution contains two squares (a large square and a small one):


Fifth Answer: The following solution contains six squares (five small ones and a large one):


Sixth Answer: The following solution contains three squares (a small one, a medium one, and a large one):



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