Count the number of squares on a $10 * 10$ chess board.

The answer is 385.

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The number Of Squares in $n*n$ Square is

${1}^{2}+{2}^{2}+{3}^{2}+.......{n}^{2}$

And, ${1}^{2}+{2}^{2}+{3}^{2}+.......{n}^{2}$ = $\dfrac {n(n+1)(2n+1)}{6}$

Putting $n=10$ , We get 385 $\ddot\smile$

Enjoy!