Author Archives: kevin

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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Storing Cans on Shelf

Posted on November 8, 2021 by kevin

If cans can be placed on top of the one another straight up, how many cylindrical cans $4$ inches in diameter and $6$ inches high can be stored on a shelf $2$ feet wide and $6$ feet long if the … 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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Geometry Challenge – 8 ⭐

Posted on October 16, 2021 by kevin

In unit square $ABCD$, point $E$ and $F$ are located on edge $CD$, with $E$ closer to $D$ and $F$ closer to $C$. Line $BE$ and $AF$ intersect at $G$, forming two triangles: $\triangle{ABG}$ and $\triangle{EFG}$. Find the minimum value … Continue reading →

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Math Olympiad for 3rd Grade – 5

Posted on October 15, 2021 by kevin

Amy, Bob, Charlie, David and Emily took part in a math exam. Their average score was 85. After checking his answer sheet against the answer sheet, Amy found that her score was wrong and reported it to her teacher. After … Continue reading →

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