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Elias is standing at corner A of a giant triangular park with corners A, B, and C. Every 30 seconds, he chooses one of the corners and sprints from wherever ...

In which figure is the black path the shortest?

Difficulty: slightly spicy 🌶🌶🌶

This problem gets two chili peppers because there are some quick-and-clever solutions where the path lengths are carefully ...

If the purple area is \(A \pi,\) what is \(A?\)

Note that the figure shows 2 semicircles whose diameters lie on a common line. The chord \( DE \) of the larger ...

\[\dfrac{a+b}{c} = \dfrac{a}{c} + \dfrac{b}{c} \]

We know that we can split a fraction like what we did above, but you can't do this in ...

Which is larger: the yellow area or the blue area?

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