Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2014 Grade 6 Probability & Statistics
Problem
1) Restaurants often slip takeout menus under Rudy's apartment door. Rudy made a chart of how many menus were from each kind of restaurant. If this data is representative, then how many of the next 15 menus slipped under Rudy's apartment door will be Chinese?
2) The 6th grade classes at Benge Elementary completed a final science test. The average score of the female students is 82 and the average score of the male students is 79. There are 42 girls and 38 boys in the 6th grade. What is the average test score of the entire sixth grade to the nearest whole number?

3) A target includes 5 concentric circles with diameters of 2, 3, 4, 5, and 6 inches. Assume Jody always hits the target but it is random where on the board the dart hits. What is the probability that she hits the area between the 4 inch and 6 inch diameter circles? Express your answer as a percentage to the nearest tenth.

Problem
4) When rolling a single six sided die three times, how much more likely are you to roll all three different numbers compared to all three the same number? Express your answer as a ratio.

5) There are 25 students in Mr. B.'s class. Tori is one of the students who has a $2.00 weekly allowance. Which value, mean or median, should she report to her parents to persuade them to give her a higher allowance? Write your choice and its value.