Numbers and Operations Use groups of 2. Materials: Grid paper, scissors, colored pencils

Puzzling Percents

Cut out two 10 × 10 grids from grid paper.

Each partner uses the clues given below to find the pattern of shaded squares.

• 44% of the squares are not shaded.
• The following rows each contain 20% shaded squares: 1 and 10.
• The following columns each contain 20% shaded squares: 1 and 10.
• Each of rows 2, 3, and 4 have 20% more shaded squares than the previous row.
• 80% of the squares in columns 5 and 6 are shaded.
• 44% of the squares in rows 6, 7, 8, 9, and 10 are not shaded.
• 28% of the squares are shaded and share a common side with four other shaded squares.
• Each of columns 7 through 10 have 20% more unshaded squares than the previous column.
• 12% of the squares are shaded and share a common side with two unshaded squares.