Find the two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27

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

Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.

Two men have a certain amount of money. The first says to the second, "If you give me 5 denari, I will have 7 times what you have left."

How high above the earth must a person be raised that he [or she] may see 1/3 of its surface?

Two men start walking at the same time and travel a distance. One is walking faster and completes the journey sooner. How fast did each man travel?

If I were to give 7 pennies to each beggar at my door, I would have 24 pennies left in my purse. How many beggars are there and how much money do I have?

A horse halving its speed every day runs 700 miles in 7 days.

There is a log of precious wood 18 feet long whose bases are 5 feet and 2.5 feet in circumference. Into what lengths should the log be cut to trisect its volume?

How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students