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Arithmetic Puzzles

Arithmetic puzzles are Mad Libs for math: fill in the blanks with numbers or operations to make the equation true.

Level 1

The numbers 1 to 64 are written in order on the chessboard above. What is the sum of the numbers in the yellow squares minus the sum of the numbers in the white squares?

\[ \large (6 \, \square \, 2) \, \square \, (3 \, \square \, 4) \, \square \, (6\, \square \, 2) = 25 \]

Which of these options are the appropriate mathematical operators for the five squares in the above equation?

Bonus: Can you find other operators that work?

\[ \begin{array}{ccccc} & & & X & Y&Z\\ + & & & X & Z & Y \\ \hline & & & Y & Z & X\\ \end{array} \]

Let \(X,Y\) and \(Z\) be three distinct single digits satisfying the cryptogram above with \(X\ne 0\). Find the value of the three digit integer, \(\overline{XYZ} \).

If every whole number from 1 to 1000 inclusive is written down, then which digit is written the least?

On glancing through your morning newspaper you notice that four pages are missing. One of the pages missing is page number 8. The back page of the newspaper is 28. What are the other three missing pages?

Write your answer in the increasing order of the number of pages. For example you notice that pages 4, 11,25 are missing, then your answer will be 41125.

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