You are here

Problems from Another Time

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

In a given square, inscribe 4 equal circles so that...
There is a number which when divided by 2, or 3, or 4, or 5, or 6 always has a remainder of 1 and is truly divisible by 7. It is sought what is the number?
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.
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
Suppose General [George] Washington had 800 men and was supplied with provisions to last 2 months but he needed to feed his army for 7 months.
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.
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
There were two men, of whom the first had 3 small loaves of bread and the other, 2.

Pages

Dummy View - NOT TO BE DELETED