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IMAS 2013 — Middle Primary Grades 3–4 — Round 2 Question 9

IMAS · IMAS 2013 — Middle Primary Grades 3–4 — Round 2

Question 9

A class is putting up 10 rectangular posters of the same shape and size on a wall. Each poster must be held in place by one nail near each corner. Adjacent posters may overlap slightly so that the same nail can serve to hold both of them. The diagram shows how 9 nails can hold four posters adjacent diagonally. What is the minimum number of nails required to hold all 10 posters?

Question illustration