Thanks to Achuth for trying out these questions and time them as an actual Mathcounts test. :)
First week : warm up 1, 4, 7. (time for 40 mins. like sprint)
Second week : warm up 2, 5, 8.
third week : workout 3 --> all right. (pair 1 to 6, 2 to 7, each time for 6 mins. as
target)
fourth week: workout 4 --> #95, then self correct.
At lesson: workout 5 and other harder problems.
These are nice questions that have various solutions, so it’s better to slow down and try them as puzzles.
Less is more and slow is fast.
If you are new to problem solving, one nice strategy is to make the question much simpler and explore ideas that come to your mind.
Answer key down below.
#105
When fully matured, a grape contains 80% water. After the drying process, called dehydration, the resulting raisin is only 20% water. What fraction of the original water in the grape remains after dehydration? Express your answer as a common fraction.
#112: Cora has five balls—two red, two blue and one yellow—which are indistinguishable except for their color. She has two containers—one red and one green. If the balls are randomly distributed between the two containers, what is the probability that the two red balls will be alone in the red container? Express your answer as a common fraction?
#116: A 12-foot by 12-foot square bathroom needs to be tiled with 1-foot square tiles. Two of the tiles are the wrong color. If the tiles are placed randomly, what is the probability that the two wrong-colored tiles share an edge? Express your answer as a common fraction.
#66: 4851
#105: 1/16
#112: 1/32
#116: 1/39
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