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IMAS 2020 — Upper Primary Grades 5–6 — Round 2 Question 11

IMAS · IMAS 2020 — Upper Primary Grades 5–6 — Round 2

Question 11

In the diagram, fill each of the “○” with numbers so that the sum of the four vertices of all squares that can be found are equal. If the middle number is filled as $\frac nm$ , where m and n are both positive numbers that are relatively prime. What is the value of $m+n$ ?

Question illustration