Category Archives: MATHCOUNTS

Math Olympiad for 3th Grade – 7

Posted on January 7, 2022 by kevin

I have $30$ coins consisting of nickels and quarters. The total value of the coins is $\$4.10$. How many of each kind do I have? If we count by $3s$ starting with $1$, the following sequence is obtained. $1, 4, … Continue reading →

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MATHCOUNTS 2022 Exercises – 3

Posted on December 17, 2021 by kevin

5 persons to be seated on 5 chairs arranged in a row. Two of these persons cannot sit next to each other. How many seating arrangements are possible? How many four-digit integers for which the thousands digit equals the sum of the other … Continue reading →

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MATHCOUNTS 2022 Exercises – 2

Posted on December 3, 2021 by kevin

An ant is traveling along the side of a regular dodecagon with side length as $1$. What is the expected value of minimum distance the ant travels between two different vertices randomly chosen? Express your answer as a common fraction … Continue reading →

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MATHCOUNTS 2022 Exercises – 1

Posted on November 24, 2021 by kevin

Six cocker spaniels have a total weight of 192 pounds. Five golden retrievers have anaverage weight of 71 pounds. What is the average weight of all 11 dogs? Express youranswer as a decimal to the nearest tenth. How many different … Continue reading →

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Math Olympiad for 3rd Grade – 6

Posted on October 29, 2021 by kevin

Is the following a square number? $$1!+2!+3!+4!+5!+6!+7!$$ There are $100$ cups labeled from $1, 2, 3, … 100$. You distribute $1$ candy in the first cup, $2$ candies in the second cup, and $3$ candies in the third cup, and … Continue reading →

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