You are here

Problems from Another Time

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

Three people buy wood together. One pays the merchant 5 coins, another 3 coins, and the last 2 coins.
In a given square, inscribe 4 equal circles so that...
An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Find two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27.
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25
A boy gives 11 coins of equal denomination to a man, and the man finds that their total value in yen is 4 less than his age.
What is the sum of the reciprocals of the triangular numbers?