WASHINGTON STATE MATHEMATICS COUNCIL

1999 MIDDLE SCHOOL MATH OLYMPIAD
FIFTH GRADE GEOMETRIC SENSE
(Make sure to include units.)

5

1. What is the measure of angle X?

 

2. The perimeter of an isosceles triangle is 30 inches. The length of one of the sides is 6 inches. What are the lengths of each of the other 2 sides?

 

 

 

3. Here are 3 views of a die. The faces have 1, 2, 3, 4, 5 and 6 dots. How many dots are opposite the side with 2 dots?

 

 

4. One of the angles of a right triangle is 27o. What is the measure of each of the other 2 angles?

 

 

 

5. What is the area of the side of this house? The windows are 2 feet on each side. Don't count the windows in the area of the house.