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AMO · 2027 · Grades 4-5 · Self-study SET 33 Question 5

AMO

Question 5

Place the whole numbers 1 through 7 in the figure, one per square. The sum in the left column, the sum in the right column, and the sum on each diagonal must all be equal. What is the largest possible product of the numbers across the grey row?

Question illustration

Use each of the seven numbers exactly once. Choose one option.
  1. 18
  2. 30
  3. 210
  4. 42
  5. 120