WASHINGTON STATE MATHEMATICS COUNCIL
1999 MIDDLE SCHOOL MATH OLYMPIAD
SIXTH GRADE GEOMETRIC SENSE
(Make sure to include units in your answer.)

6

1. If ABC is an equilateral triangle, what is the sum of the measures of angles: a + b + c + d

 

2. I have some very beautiful ceramic tiles that were given to me. They are all in the shape of little right triangles as shown below. I want to use them to cover all of a coffee table top that is 44 inches by 24 inches. How many of my triangular tiles will I need to make the coffee table top?

 

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 6 dots?

 

 

4. The sides of a square are increased by 4 m to make a new square whose area is 144 sq. m. What was the perimeter of the original square?

 

 

 

5. What is the area of the shaded semi-circle shown in the figure below?