Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2015 Grade 6 Probability & Statistics
Problem

1) The largest number in a set of five integers is 92. The range of the set is 57 and the median is 80. What is the smallest possible value of the mean of the set?

2) You are playing a lottery game. A number is pulled at random from a box containing the numbers 1 to 1000, both inclusive. You win if a number containing exactly two 5s is drawn. What is your probability of winning?
(Express as a percentage)

3) After six math tests, Julian's average was 82. After the final exam, which was worth two tests, his average rose to 85. What was Julian's grade on the final exam?

Problem

4) Two six-sided dice are rolled and the resulting numbers are added together. What is the probability that the sum of the two dice will be greater than 5?
(Express your answer as a fraction in lowest terms)

5) Roxanne is ordering a pizza. She can choose from 3 sizes, 3 types of crust, 4 blends of sauce, and 6 toppings. How many pizza combinations are possible if she orders a pizza with 2 toppings?