WASHINGTON STATE MATHEMATICS COUNCIL - 1997 MIDDLE SCHOOL MATH OLYMPIAD

SEVENTH GRADE GEOMETRICAL SENSE - SCHOOL ___________________________ TEAM_______

1. This figure is made by two intersecting perpendicular rectangles. What is its area in square units?

Answer: ________________

2. If this is a set of cubes on a plane, what is the maximum number of cubes in the figure?

Answer: ________________

3. How many squares of any size can be made using the pegs on a 4 by 4 geoboard? Count squares in different positions on the board as different squares. All of the pegs are equally spaced.

Answer: ________________

4. The figure is made up of concentric circles with radii of 1 cm, 2 cm, 3 cm, 4 cm, and 5 cm. What is the difference in area between the shaded region and the stripped region?

Answer: ________________

5. Two 7 X 7 squares overlap to form a 7 X 9 rectangle as shown. Find the area of the region in which the two squares overlap.

Answer: ________________