Create an Equation

Directions: Use only the digits 1 to 7, at most one time each, fill in the boxes to create a true equation.

Hint

What place value would you like to start with? What digits “go” together?

Answer

Number of Unique Solutions: 20 (40 with commutative property)
1: 43 = 16 + 27
2: 43 = 17 + 26
3: 47 = 32 + 15
4: 47 = 35 + 12
5: 57 = 21 + 36
6: 57 = 31 + 26
7: 61 = 34 + 27
8: 61 = 37 + 24
9: 62 = 15 + 47
10: 62 = 45 + 17
11: 67 = 14 + 53
12: 67 = 54 + 13
13: 71 = 25 + 46
14: 71 = 26 + 45
15: 74 = 23 + 51
16: 74 = 53 + 21
17: 75 = 12 + 63
18: 75 = 13 + 62
19: 76 = 41 + 35
20: 76 = 45 + 31

Source: Eric Appleton

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37 comments

  1. 50=40+10

  2. 90=14+76

    90=67=23

    90=34+56

    90=27+63

  3. 76=52+24

  4. 76=35+41
    97=76+21
    94=74+20
    45=35+10
    74=39+45

  5. 76=35+41
    97=76+21
    94=74+20
    45=35+10
    74=39+45

  6. 43=17+25
    57=21+36
    74=21+53

  7. Jamie L Comstock

    How are you supposed to explain this to a 2nd grader to solve?

    • Nathalie Beauregard

      I would use cards on which I would write the digits 1 to 7. Then you have to ask them questions about additions. I will try it out with my students on Zoom next Monday. I know they will enjoy. I think I’m going to make a little explanation on Explain Everything.

  8. jizzelle mcgriff

    60=40+20

  9. 43=27+16

  10. 49 = 17 + 32
    76 = 45 + 31
    57 = 21 + 36
    79 = 56 + 23

  11. 57 = 37 + 20

  12. Who on earth is writing these questions for second graders? I am three years through my math degree and had trouble with this, let alone explaining it to my little sister.

  13. 56+32=88
    86+14=100
    63+34=97
    47+52=99

  14. 70=40+30
    43=20+23
    20=10+10
    64=50+14

  15. 80=35+45
    40=35+5
    68=45+23
    39=15+24
    50=26+24

  16. 43 = 16+27
    61 = 14+47

  17. 14=12+26
    16=19+35

  18. 2000 = 2x 1000

    5000 = 3000 + 2000

    600000000000 = 2×300000000000

  19. 43 = 16 + 27
    43 = 17 + 26
    47 = 32 + 15

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