WASHINGTON STATE MATHEMATICS COUNCIL 2000 MIDDLE SCHOOL MATH OLYMPIAD Session II: SIXTH GRADE NUMBER SENSE

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1. Mike has 12 more pencils than Erica. Erica has 9 more pencils than Karen. Mike, Erica, and Karen decide to split the pencils so each will have the same number of pencils. How many pencils will Mike lose?

2. Kelsey has art class every sixth day of school. School starts on Monday and meets daily until Friday for 36 weeks. Kelsey has art on the first day of school, How many times during the 36 week period will Kelsey have art on Monday?

3. I have a fraction. If I add 1/3 to it, I get 3/4. What is my fraction?

4. Of the 90% of math students in a math class who earned a passing grade, 10% earned a B+ or better. What percent of the entire math class earned a B+ or better?

5. Four friends shared a bottle of water on a hike. The first drank 1/4 of the water. The second drank 1/3 of the remaining water. The third drank 1/2 of what was left. The fourth person drank the last 6 ounces. How many ounces of water were in the bottle when they started the hike?