You are here

Problems from Another Time

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

The square of a certain number multiplied by itself and by 200 is 446,976. What is the number?
A square walled city of unknown dimensions has four gates, one at the center of each side.
Suppose that for every 4 cows a farmer has, he should plow 1 acre of land, and allow 1 acre of pasture for every 3 cows; how many cows could he keep on 140 acres?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
The cavity of our chimney is an upright parallelepiped, the diagonal of whose base is 60"; and the height of the lower side of the lintel above the plane of the floor is 40".
There are two piles, one containing 9 gold coins, the other 11 silver coins.
Given a number, take 1/3 of the number away from itself and add 2. If this result is multiplied by itself, it equals the number plus 24. What is the number?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
If an equilateral triangle whose area is equal to 10,000 square feet be surrounded by a walk of uniform width, and equal to the area of the inscribed circle, what is the width of the walk?
There is a mound of earth in the shape of a frustum of a cone.