Category Archives: Daily Problems

Problem of the Day – November 22, 2019

Posted on November 22, 2019 by kevin

Line $A$ is defined by $y = 4x + 3$ and line $B$ is defined by $y = 4$, and they intersect at a point, $D$. Line $C$, which has the equation $y = mx + 1$, intersects line $A$ and $B$ … Continue reading →

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Solution to November 21, 2019’s Challenge

Posted on November 22, 2019 by kevin

Actually, you can not make such a shape in our 3-dimension world 🙂 You need to be living in a 4-dimension universe to construct $10$ equilateral triangles with only $10$ matchsticks. The 4-dimension object is called tetrahedral pyramid or 5-Cell. … Continue reading →

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Problem of the Day – November 21, 2019

Posted on November 21, 2019 by kevin

Make $10$ equilateral triangles, all of the same size, using $10$ matchsticks, where each side of every triangle consists of exactly one matchstick. Hint: Think outside the box 🙂

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Problem of the Day – November 20, 2019

Posted on November 20, 2019 by kevin

If $F(n) = F(n-1)+F(n-2)$, where $F(0)\ = 1$ and $F(1)\ = 1$, then find the product of $F(5)$ and $F(7)$.

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Problem of the Day – November 19, 2019

Posted on November 19, 2019 by kevin

In $\triangle ABC$, $D$ is on line $\overline{BC}$ and $\overline{BD}=\overline{CD}$, $E$ is on line $\overline{AC}$ and $\overline{AE}=2\overline{CE}$. Find the value of $\dfrac{\overline{DF}}{\overline{AF}}$.

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