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AMO 2018 Secondary 1 (Grade 7) Question 21

AMO · AMO 2018 Secondary 1 (Grade 7)

Question 21

Place each integer from 1 to 16 in exactly one box of the grid. Consecutive numbers must occupy boxes sharing a horizontal or vertical edge, never only a corner. The positions of 1 and 16 are fixed as shown. Find the smallest possible sum in the two starred boxes.

Question illustration