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AMO 2027 Grades 4-5 SET 24 - Self-study Question 10

AMO · AMO 2027 Grades 4-5 SET 24 - Self-study

Question 10

A square-shaped floor is covered with congruent square tiles. If the total number of tiles that lie on the two diagonals is 37, how many tiles cover the floor?

Grid convention: the tiles form aligned rows and columns; count tiles whose interiors a diagonal crosses, not tiles touched only at a corner. A tile on both diagonals is counted once.