Waste less time on Facebook — follow Brilliant.
×

Arithmetic Puzzles

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

Choosing Operations

         

What series of signs will make the following equation true: \[ 2 \, \square \, 2 \, \square \, 2 \, \square \, 2 = -6? \]

Which of the following series of signs will make the following equation true: \[ 2 \, \square \, 2 \, \square \, 2 \, \square \, 2 = 4? \]

What series of signs will NOT make the following equation true: \[ 8 \, \square \, 8 \, \square \, 8 \, \square \, 8 = 0? \]

How many different 3-tuples \((\square,\triangle,\star)\) of operators make the following equation true: \[6 \, \square \, (3 \, \triangle \, 2)=1 \, \star \, 1?\]

Details and Assumptions

  • \(\square,\triangle,\star\) can be one of the four arithmetic operators: \(+,-,\times,\div.\)
  • One kind of operator can be used more than once.

What series of signs will NOT make the following equation true: \[ 4 \, \square \, 4 \, \square \, 4 \, \square \, 4 = 16? \]

×

Problem Loading...

Note Loading...

Set Loading...