**HIGHLINE
SCHOOL DISTRICT School: __________________**

2

**SECOND YEAR MATH
OLYMPIAD March 21, 1998**

** Grade: _________**

**Geometrical Sense (Spatial sense)**

** 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 below. Each of the
three rectangles has a perimeter of 16 meters.
How many meters are in the perimeter of the square?

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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?

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5. What is the area of an equilateral
triangle with each side equal to 4 meters?

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