HIGHLINE SCHOOL DISTRICT School: __________________

2

 
SECOND YEAR MATH OLYMPIAD March 21, 1998

Grade: _________

Probability and Statistics

Team Number: _________

 

1. A baseball team has players that are 12, 9, 11, 8, 12, 9, 9, 8 and 12 years old. What is the difference between the median and mean ages of the team?

 

 

 

___________

 

2. In his first 4 basketball games, Dunking Dan Dorfman scored 19, 31, 12, and 9 points. How many points must he score in his fifth game to have an average of exactly 20 points per game?

 

 

 

___________

 

3. What is the probability of drawing 4 spades in a row out of a deck of 52 cards? (Express your answer as a fraction reduced to lowest terms.)

 

 

 

___________

 

4. A baseball league has nine teams. During the season, each of the nine teams plays exactly 3 games with each of the other teams. What is the total number of games played?

 

 

 

___________

 

5. An ice cream shop offers a two scoop sundae with the following choices. How many combinations of sundae can be made?

 

Container

(choose 1)

Ice cream flavor

(choose 2)

Toppings

(choose 1)

Sauce

(choose 1)

        Cup

        Waffle cone

        Sugar cone

        Vanilla

        Chocolate

        Strawberry

        Cherry

        Nuts

        Chocolate chip

        Cherry

        Granola

        Fudge

        Caramel

        Butterscotch

 

 

 

___________