You are here

Problems from Another Time

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

Twenty-three weary travelers entered a delightful forest. There they found 63 numerically equal piles of plantain fruit.
A certain bishop ordered that 12 loaves be divided among his clergy.
There are two columns in the ruins of Persepolis left standing upright; one is 70 ft. above the plane, and the other 50 ft;
If 12 cattle eat up 3 1/3 acres of meadow in 4 weeks and 21 cattle eat up 10 acres of exactly similar meadow in 9 weeks, how many cattle shall eat up 36 acres in 18 weeks? (Hint: The grass continues to grow.)
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Given the frustum of a circular cone with height h.
If a ball 6 inches in diameter weighs 32 lbs, what will be the weight of a ball 3 inches in diameter?
Find the two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
An official asks a woman why she has so many bowls to wash. The woman explains that she had dinner guests who ate meat, rice, and soup. Judging by the number of bowls, how many guests were there?