You are here

Problems from Another Time

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

In order to encourage his son in the study of arithmetic, a father agrees to pay him 8 pennies for every problem solved correctly and to charge him 5 pennies for each incorrect solution.
A certain bishop ordered that 12 loaves be divided among his clergy.
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
Now there are three sisters who leave home together.
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
There is a four-sided field whose eastern side measures 35 paces, its western side 45 paces, its southern side 25 paces and its northern side 15 paces. Find the area of this field.