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Washington State Math Olympiad
Hints and Solutions
2014 Grade 5 Probability & Statistics
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| 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) Joey scores on 6 tests are:
78, 86, 84, 74, 90, 92.
His teacher allowed him to correct his own tests
and earn half of the points missed added on to his original test score. He did that for each one. By
how much did his test average go up? |
3) There are 10 green marbles and 2 blue marbles in a bag. Each day you select a blue marble you
can stay up an extra half hour. Each time you select a green marble you have to go to bed at 9 pm.
You select a marble without looking and then put it back. Over the course of 12 days how many
days would you expect to go to bed after 9pm? |
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4) Mollie invents a new board game that uses the spinner shown
and one 6 sided die. You roll first and then spin, then move
your piece on the board according to the spinner. The spinner is divided into three equal
sections. What is the probability that you will move forward an
even number of spaces on your turn?