Monthly Archives: February 2022

Math Olympiad for 3rd Grade – 8

Posted on February 22, 2022 by kevin

Suppose today is Wednesday. What day of the week will be 120 days from now? __________ I have five $1¢$ stamps, four $3¢$ stamps, and three $5¢$ stamps. Using one or more of these stamps, how many different amount of … Continue reading →

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Geometry Challenge – 9

Posted on February 21, 2022 by kevin

In the diagram below, two tangent semi-circles centered at A and B are inscribed in a large semi-circle center at O, and circle C is tangent to semi-circle A, B and O. Point A, O, and B are on the … Continue reading →

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AMC 8 Exercises 2 – 02/07/2022

Posted on February 7, 2022 by kevin

From a point $P$ inside a unit equilateral $\triangle{ABC}$, draw line $PQ$, $PS$, and $PT$ pendicular to $AB$, $BC$, and $CA$ respectively. The total length of $PQ$, $PS$, and $PT$ is $$ $$ $\textbf{(A) } \dfrac{1}{2} \qquad\textbf{(B) } \dfrac{\sqrt{6}}{4} \qquad\textbf{(C) … Continue reading →

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AMC 8 Exercises 1 – 02/01/2024

Posted on February 1, 2022 by kevin

The sum of the first three prime number greater than 50 is $$ $$ $\textbf{(A) }169 \qquad\textbf{(B) }171 \qquad\textbf{(C) }173 \qquad\textbf{(D) }175 \qquad \textbf{(E) } 177$ $$ $$ In a regular hexagon, the ratio between the shortest diagonal and the … Continue reading →

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