Logic

Arithmetic Puzzles

Fill in the Blanks Warmup

         

Can we place a single digit in each □ \square , such that the following equation is true:

□ × □=11? \square \, \times \, \square = 11 ?

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by Brilliant Staff

What (possibly different) single digit should we place in □ \square and ◯ \bigcirc to make the following equation true:

8□÷◯8=3 8 \square \div \bigcirc 8 = 3

Give your answer as (□,◯) ( \square, \bigcirc ) .

This is an arithmetic puzzle, where 8□ 8 \square would represent the 2-digit number 89 if □=9 \square = 9 . It does not represent the algebraic expression 8×□ 8 \times \square . The same logic applies for the 2-digit integer ◯8 \bigcirc 8.

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by Brilliant Staff

Does there exist (possibly different) digits which we can replace the □ \square with, to make the following expression true:

□2×4=□8? \square 2 \times 4 = \square 8 ?

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by Brilliant Staff

If in each of the squares, we must fill in a distinct digit, what is the minimum possible positive value of the difference?

□□−□□ \begin{array} { l l l } & \square & \square \\ - & \square & \square \\ \hline \end{array}

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by Brilliant Staff

What identical digit can we place in □ \square , to make the following statement true:

1□×□=□9? \Large 1 \square \times \square = \square 9 ?

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by Brilliant Staff
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