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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

Ladder Day Question

A ladder is placed perpendicular to the plane of the horizon, and in coincidence with the plane of an upright wall.

Walk Around the World

Suppose a person whose height is 5 feet 7 inches travels 10000 miles in the arc of a great circle. How much further will the person's head have gone compared to their feet, the circumference of the Earth being 21600 miles?

Faster Than a Speeding Horse

A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?

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