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Solving Number Sums: Equal Sides Challenge**

Engage your reasoning skills with this fun mathematical puzzle! Fill in the numbers 1-6 in each circle, ensuring that the sums of the three numbers on each side are equal. Understand the basic principles of even and odd sums, knowing that even sums come from combinations of even numbers (2+4+6=12) and odd sums from odd combinations (1+3+5=9). This problem helps reinforce addition, subtraction, and number properties while challenging students to think critically and deduce facts from limited information.

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Solving Number Sums: Equal Sides Challenge**

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  1. Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

  2. Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. •The sum of the three sides is either even, or odd. Even: e + e + e e + o + o Odd: o + o + o o + e + e

  3. Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Even: e + e + e e + o + o Odd: o + o + o o + e + e

  4. Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Even: e + e + e e + o + o = 2+4+6 = 12 Odd: o + o + o o + e + e

  5. Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Even: e + e + e = 2+4+6 = 12

  6. Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Even: e + e + e = 2+4+6 = 12

  7. 6 5 2 1 4 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Even: e + e + e = 2+4+6 = 12 e + e = o + o

  8. 6 5 3 2 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Even: e + e + e = 2+4+6 = 12 4 e + e = o + o

  9. 5 6 4 3 1 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Even: e + e + e = 2+4+6 = 12 2 e + e = o + o Not possible! 2 must be placed in the middle.

  10. 6 2 4 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Even: e + e + e = 2+4+6 = 12

  11. 6 2 1 4 3 5 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Even: e + e + e = 2+4+6 = 12

  12. Even:e + e + e e + o + o =2+4+6 = 12 Odd:o + o + o o + e + e Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. = 1+3+5 = 9

  13. Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Odd: o + o + o = 1+3+5 = 9

  14. Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Odd: o + o + o = 1+3+5 = 9 e + e = o + o

  15. 1 2 3 5 6 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Odd: o + o + o = 1+3+5 = 9 e + e = o + o

  16. 2 1 5 4 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Odd: o + o + o = 1+3+5 = 9 3 e + e = o + o

  17. 2 1 3 4 6 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Odd: o + o + o = 1+3+5 = 9 5 e + e = o + o Not possible! 5 must be placed in the middle!

  18. 1 5 3 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Odd: o + o + o = 1+3+5 = 9

  19. 1 6 5 2 4 3 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Odd: o + o + o = 1+3+5 = 9

  20. Even:e + e + e e+ o + o =2+4+6 = 12 Odd: o + o + o o + e + e =1+3+5 = 9 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. odd at vertex

  21. 1 4 6 3 5 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Even: e+o+o odd at vertex e + o = e + o

  22. Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Even: e+o+o odd at vertex 1 5 3

  23. 4 6 2 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Even: e+o+o odd at vertex 1 5 3

  24. Even:e + e + e e+ o + o =2+4+6 = 12 odd at vertex Odd: o + o + o o+ e + e =1+3+5 = 9 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. even at vertex

  25. 2 3 5 4 6 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Odd: o + e + e even at vertex e + o = o + e

  26. 2 3 5 6 4 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Odd: o+e + e even at vertex

  27. 2 3 5 6 1 4 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal. Odd: o+e + e even at vertex

  28. 6 2 1 1 4 2 6 3 5 5 6 1 2 4 6 5 3 1 4 2 5 4 3 3 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

  29. Choosing numbers randomly does not quickly lead to an answer. Solving the problem requires reasoning and simple computations. • The problem is cracked when students deduce additional facts from the limited information provided. Prerequisites: • Addition & Subtraction; • Understanding of even and odd numbers.

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