You are here

Problems from Another Time

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

The dimensions of a rectangular box in inches are expressed by three consecutive numbers. The surface of the box is 292 square inches. Find the dimensions.
A fish sees a heron looking at him from across a pool, so he quickly swims towards the south. When he reaches the south side of the pool, he has the unwelcome surprise of meeting the heron.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
A man and his wife drink a barrel of wine at different rates. Find the rate it takes both of them together to drink the wine.
In a given square, inscribe 4 equal circles so that...
Having been given the sum of two numbers,a, and the difference of their squares,b, find the numbers.
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 greatest cylinder that can be inscribed in a given cone.
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.
A square walled city measures 10 li on each side. At the center of each side is a gate. Two persons start walking from the center of the city.

Pages

Dummy View - NOT TO BE DELETED