I'm posting one puzzle, riddle, math, or statistical problem a day. Try to answer each one and post your answers in the comments section. I'll post the answer the next day. Even if you have the same answer as someone else, feel free to put up your answer, too!

Tuesday, February 28, 2006

How many squares would there be?

If you were to construct a 7 x 7 checkered square (i.e., a 7 x 7 chess board), how many squares would there be in total? (Hint: it's not 49)

Leave your answer or, if you want to post a question of your own, send me an e-mail. Look in the about section to find my e-mail address. If it's new, I'll post it soon.

Please don't leave spam or 'Awesome blog, come visit mine' messages. I'll delete them soon after.

Is it 140??

ReplyDeleteHere's how I did it. There is one 7 x 7 square. There are 4 6 x 6 squares. ...

ReplyDelete5 x 5 = 9

4 x 4 = 16

...

1 x 1 = 49

For a total of 1 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 = 140 squares.

So I got the same answer as you did tjb.

you have to count the numbers of it and the larger sized number and the larger larger and then count the whole big square as one.

ReplyDeleteThe answer is 140

ReplyDelete