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Even when angles seem to be far from one another, their measures can be related. Can you find this relationship?

As a prank, students at a university paint over their presidents' portraits in an elaborate way. What are their final colors?

The average speed isn't just the arithmetic average of speeds. Don't forget about it when solving today's challenge.

In triangles, angle measures are connected to one another. You can deduce the measure of the yellow angle from its relationships with other angles.

There’s a quick way to check if a figure can be traced. Can you find the maximum length that can be traced?

In this puzzle, you can change some additions to subtractions. Think carefully how each of these swaps will impact the result.

In this challenge, we want to measure 7 liters of water using two differently sized containers. Which size of container won’t be helpful?

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