Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2008 Grade 6 Probability & Statistics

Problem

1) A dart hits the dartboard shown at random. The board is a square and the horizontal lines are equally spaced. Find the probability of the dart landing in the shaded region.

2) Jesse makes 50% of his free throws and 10% of his half court shots in basketball. What are the chances that Jesse can make three free throws and a half court shot one right after the other?

3) In a certain carnival game, a player gets to spin each of the following spinners once. What is the probability (express as a fraction in lowest terms) of getting two numbers that have a sum of 7?

Problem

4) After three tests Max has a test average of 83. He is nervous for the fourth test and wants to keep an average of at least 80. What is the lowest score he can get on the fourth test if each test is worth 100 points?

5) The bar graph shows the heights for a 4th grade class that has 11 boys in it measured to the nearest inch. What is the difference between the mean and the median?