WASHINGTON STATE MATHEMATICS COUNCIL 2000 MIDDLE SCHOOL MATH OLYMPIAD Session II: SIXTH GRADE PROBABILITY & STATISTICS

6

1. Find the sum of the mean, mode and median of the following math test scores:
85, 81, 95, 90, 75, 76, 81, 100, 85, 75, 81

2. I scored 85 and 88 on my first 2 math tests. It takes an average of 90 or better to get an A for the course. I have only one more test to take. What is the least score I need on that test to get an A for the course?

3. How many different arrangements of the letters in the word TWELVE are possible?

4. A caterer offers 5 different appetizers, 3 different drinks, and 4 different sandwiches. How many different combinations of 2 appetizers, 2 drinks, and 2 sandwiches can Malcolm choose for his party?

5. In Mrs. Smith's class of 30 there are 6 students whose names start with "M". If Mrs. Smith randomly asks 2 students to go to the board to work problems, what is the probability that their names will both start with "M"?