Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2016 Grade 5 Probability & Statistics

Problem

1) Julian has scored 93 and 96 on his first two tests. With one test remaining, what is the least score Julian needs to average 90 or better on his three tests?

2) Four students form a line to use a water fountain. How many different ways can they arrange themselves in line?

3) Tammy and two of her friends are flipping coins. Tammy guesses 7 of 15 coin flips correctly. Colin guesses 14 of 25 coin flips correctly. Winona guesses 12 of 20 coin flips correctly. Who was the best at guessing coin flips?

4) A factor of 90 is chosen at random. What is the probability that the chosen factor has both 3 and 5 as factors?
(Express your answer as a fraction in lowest terms )

5) Find the mean and mode of the following set of numbers:
    60, 68, 74, 70, 59, 68, 76, 64, 57, 73, 68