How many squares that do not contain the shaded cell can be formed on an 8 x 8 checkerboard?

Source: NCTM Mathematics Teacher 2008

**SOLUTION
**1 x 1 squares

Total number of squares = ; square contains the shaded cell

squares do not contain the shaded cell

2 x 2 squares

Total = ; contain the shaded cell in locations through

squares do not contain the shaded cell

3 x 3 squares

Total = ; contain the shaded cell in locations through

4 x 4 squares

Total = ; contain the shaded cell in locations

5 x 5 squares

Total = ; contain the shaded cell in locations

6 x 6 squares

Total = ; all contain the shaded cell in locations

7 x 7 squares

Total = ; all contain the shaded cell in locations

8 x 8 square

Total = ; contains the shaded cell in location 19

Number of squares that do not contain the shaded cell

**Answer**: