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IMAS 2018 — Middle Primary Grades 3–4 — Round 2 Question 3

IMAS · IMAS 2018 — Middle Primary Grades 3–4 — Round 2

Question 3

Place the numbers 1, 2, 3, 4, 5 and 6, without repetition, into the six circles in the figure below, where each circle should only have one number, such that the sum of the three numbers on each side of the triangle are all equal. What is the maximum possible value of this sum?

Question illustration
  1. 9
  2. 10
  3. 11
  4. 12
  5. 13