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| HIGHLINE SCHOOL DISTRICT SIXTH GRADE MATH OLYMPIAD March 21,1998 |
School: _______________ Grade: _______________ Team Number: _______________ |
| 1. ABCD is a rectangle with area equal to 36 square yards. Points E, F, and G are midpoints of the sides on which they are located. How many square yards are there in the area of triangle EFG?
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| 2. A square is divided into 3 congruent rectangles as shown. Each of the three rectangles has a perimeter of 16 meters. How many meters are in the perimeter of the square? _______________ | |
| 3. Jeremy and Katelyn are each flying a kite. Jeremy's kite is flying 40 feet high and the wind is pushing it above a tree that is 30 feet away from him. Katelyn's kite is flying 60 feet high and the wind is pushing it above a tree that is 80 feet away from her. How much longer is Katelyn's kite string than Jeremy's? ________________ |
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| 4. A small cylindrical glass is placed inside of a larger cylindrical glass, and the space between the two glasses is filled with water. Both glasses are 6 inches high. If the smaller glass has a 2 inch diameter, and the larger glass has a four inch diameter, what is the volume of water in between the two glasses? _____________ | |
| 5. What is the area of an equilateral triangle with each side equal to 4 meters? |
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