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Washington State Math Olympiad
Hints and Solutions
2011 Grade 6 Algebra
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| Problem |
1) Here are two representations of
the same multiplication problem.
y
and z both stand for single digit
numbers. What is y?
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2) Each week Roxy mows Mrs. Smith's lawn and does
some extra yard work. Mrs. Smith pays Roxy a fixed
amount for mowing her lawn and an additional hourly
amount for extra work. Based on the table below, how
much is the fixed amount for mowing the lawn? |
3) Vicky and Tammy are shopping for new clothes. Vicky says to Tammy, "If I had $5 more, we would have an equal amount of money." Tammy responds,
"That may be true,but if I had $5 more, I would have twice as much money as you." How much money does Tammy have? |
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4) Emilio wants to drown his sorrows by eating
the full pan of brownies his mom left out on
the counter to cool. In five minutes he eats 1/3 of
the pan. In the next five minutes he eats 1/3 of
the remaining pan. If this pattern continues how
much of the pan of brownies will be left after 30
minutes? Express your answer as a fraction.
The table provided may help you think it out.