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AMO 2027 Grades 6-7 SET 18 - Self-study Question 7

AMO · AMO 2027 Grades 6-7 SET 18 - Self-study

Question 7

The 7 × 7 chessboard contains one shaded square as shown. How many squares of any size do not include the shaded square?

**Editorial note for this self-study exercise:** Count squares whose sides lie on the grid lines. The shaded cell is row 4 from the top and column 6 from the left. A square includes it when that entire cell lies inside the square. Enter the count.

Question illustration