You are here

Problems from Another Time

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

A lady being asked how old she was at the time of her marriage replied that the age of her oldest son was 13; that he was born 2 years after her marriage...
What is the sum of the following series, carried to infinity: 11, 11/7, 11/49, etc.?
Suppose that the propability of success in an experiment is 1/10. How many trials of the experiment are necessary to insure even odds on it happening at least once?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
There is a log 18 feet long, the diameter of the extremities being 1 ft and 2.6 ft respectively...
Two merchants, A and B, loaded a ship with 500 hhds (hogshead) of rum; A loaded 350 hhds, and B the rest; in a storm the seamen were obliged to throw overboard 100 hhds; how much must each sustain of the loss?
The king of France entered into a battle and was defeated. How many soldiers did he have before he was defeated?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A fish sees a heron looking at him from across a pool, so he quickly swims towards the south. When he reaches the south side of the pool, he has the unwelcome surprise of meeting the heron.
What is the perpendicular height of a cloud when its angles of elevation were 35 degrees and 64 degrees as taken by two observers at the same time...