WASHINGTON STATE MATHEMATICS COUNCIL -1997 MIDDLE SCHOOL MATH OLYMPIAD

SEVENTH GRADE MEASUREMENT -SCHOOL ___________________________ TEAM_______

1. What is the difference in area between a rectangular field 70 meters by 80 meters and that of a square field with the same perimeter?

Answer: ________________

2. We have acquired a recipe for the world famous Mrs. Hansberry’s Peanut Butter Cookies. Unfortunately, it is a recipe for commercial use and needs to be modified for our use. Here is a list of the ingredients with their quantities:

10 gal butter or margarine |
10 gal peanut butter 10 gal brown sugar 3 ^{1}/_{3} c vanilla extract5c soda |

3 t (teaspoons) = 1T (tablespoon) |
4 C = 1 qt (quart) |
16 T = 1 C (cup) |

This makes __128 packages with two rows of five cookies stacked three high__. If you are going to make four dozen cookies, how many teaspoons of soda will you need?

Answer: ________________

3. The dimensions of a rectangle are 20 centimeters by 30 centimeters. If the longer dimension is increased by 20% and the shorter side is decreased by 15%, What is the area of the new rectangle?

Answer: ________________

4. Equilateral triangle TAR sits adjacent to square REST, sharing side RT and not overlapping the square. What is the measure of angle ATE?

Answer: ________________

5. Debra has 23 coins, 8 quarters and 15 dimes. She exchanges the 8 quarters for the number of dimes equal to the value of the 8 quarters. She also exchanges the 15 dimes for the number of quarters equal to the value of 15 dimes. After these exchanges, how many coins does she have?

Answer: ________________