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Sample Solutions

 
Choose any three numbers in a line either horizontally, vertically or diagonally and calculate them by adding( + ), subtracting( - ), multiplying( x or * ) and/or dividing( / ) as needed to reach the target number. Use each number once, and only once, in each number sentence. 

Use of exponents is unacceptable.

 
5 + 4 - 8 = 1 diagonal
6 + 1 - 5 = 2 horizontal
9 - 2 - 4 = 3 horizontal
(7 - 5) x 2 = 4 vertical
6 + 8 - 9 = 5 vertical
8 - 2 x 1 = 6 diagonal
2 + 9 - 4 = 7 horizontal
1 + 3 + 4 = 8 vertical
8 + 2 - 1 = 9 diagonal
5 + 6 - 1 = 10 horizontal
9 + 4 / 2 = 11 horizontal
5 + 6 + 1 = 12 horizontal

 

  
Acceptable Responses:
  
(9+4) x 2=26   or   (9+4) x 2
This solution is acceptable. The operations within the parenthesis are performed first; 13x2=26. For this contest, the equals sign '=' and target number are not required for the solution to be acceptable, as long as the target number is recorded in the proper place on the contest solution sheet.
  
9 + 4 = 13     13 x 2 = 26
This solution series is acceptable. The operations need not be all in a single equation; so this series of equations is correct. The "=" sign is required.
  
2 * (9+4) = 26  or   2 x (9 + 4) = 26
These solutions are acceptable. Multiplication is indicated with either a star (*) or an x.
  
Acceptable solutions with division:
Target 11:   4/2 + 9   or   + 9   or   4 ÷ 2 + 9
  
Target 18:      or   9 x 4 / 2    
Unacceptable Responses:
  
9 + 4 x 2 = 26
This solution is incorrect. By order of operations, multiplication is performed first. Thus, 9+4x2=17, not 26.
  
9 + 4 = 13 x 2 = 26
This solution is incorrect. Though we know the answer is intended as 9+4=13;13 x 2=26, the solution is simply not mathematically correct since 9+4 does not equal 13 x 2.
  
4 x 2 = 8    8 + 9 = 17   17 + 9 = 26
This solution is incorrect because the number 9 is used twice. Each number may be used once and only once in the solution.
  
2 (9 + 4) = 26
This solution is not acceptable because the operation of multiplication is assumed and not written.
  

3^2 + 1= 10

3^2 + 1= 10 means 3 X 3 + 1= 10
This solution is not acceptable because 2 is not part of the calculation with basic operations, and the 3 is used twice.
  

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