Sandy Wood
Brain Game: Math Square #31
by Sandy Wood - June 28, 2010 - 7:30 AM

bloghead_braingames.jpg

The nine white squares inside the main red grid should be filled with the digits 1 through 9. Each digit should appear only once in this main grid. Two of these numbers are already provided for you. Place the other digits in the correct spots so that the mathematical equations work both across and down. IMPORTANT: Remember algebraic rules when solving the problems… multiplication and division should be performed in the first step, then addition and subtraction in the second. Good luck!

Here is my SOLUTION.

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Comments (12)
  1. Sandy – sorry but there seems to be an error in this puzzle. On the second line you have 2 + 1 x 6 = 8 (not 18 as I suspect you wanted it). That makes the puzzle a lot harder!

  2. Damn that pemdas!

  3. Jane, the puzzle’s right. Following the order of operations …

    2 + 1 x 6
    2 + (1 x 6)
    2 + 6
    8

    Multiplication and division first, addition and substraction second.

  4. Sandy, not sure if you can make the caveat any bolder but people still continue to miss your explicit instructions. At what point do you quit laughing and just shake your head?

  5. Maybe there should be a link to order the “Please Excuse my Dear Aunt Sally” t-shirt. :-)

  6. Sandy, I recall a comments conversation regarding the difficulty of the puzzle and the correlation to Mondays being the day we get our math squares. Have you thought of maybe having every 5th or 10th square just ratchet up the difficulty something fierce? Just a thought.

    Love these!

  7. I can’t click on the form. How am I supposed to work this out?

  8. RonNasty64, try this somewhat unique method. Use something called paper and pencil.

  9. My favorite part of these puzzles is checking the comments to see who couldn’t follow directions.

    I’ll admit it: it gives me a little smug sense of satisfaction every time. Don’t change a thing.

  10. if we assume the puzzle in the form:

    abc
    def
    ghi,

    Then,

    (1) ab-8=19, ab=27
    a,b are in the set (3,9)(9,3)

    (2)d+ef=8

    (3)g+4-i=2, i-g=2
    g,i are in the set (4,6)(5,7)(6,8)

    (4) a-d+g=12

    (5) b+e-4=0, b+e=4
    b,e are in the set (1,3)(3,1)
    by (1), we know that b=3
    Therefore a=9 and e=1

    (2) becomes d+f=8
    d,f are in the set (2,6)(6,2)

    (4) becomes 9-d+g=12, g-d=3
    d,g are in the set (2,5)(6,8)
    Since g=5 or 8, by (3), we know it must be 5, therefore d=2, i=7, and f=6

    938
    216
    547

  11. Maybe there should be instructions which politely ask people not to post solutions in the comments. (Then again, if nobody reads the instructions, we’ll still get people posting solutions. Alas.)

  12. Following the order of operations was harder for me in this one because of the middle line. I know multiplication comes first, but I since read right to left, I saw the plus sign first, and my brain kept adding before multiplying. It’s easy to get confused, even if you know the correct way to do it!

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