You are here

Problems from Another Time

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

Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the length of those sides.
Imagine an urn with two balls, each of which may be either white or black. One of these balls is drawn and is put back before a new one is drawn.
On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.
A bridge is built across a river in 6 months by 45 men. It is washed away by the current. Required the number of workmen sufficient to build another of twice as much worth in 4 months.
A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
One military horse cannot pull a load of 40 dan; neither can 2 ordinary horses, nor can three inferior horses.
A man went to a draper and bought a length of cloth 35 braccia long to make a suit of clothes.
Three men have a pile of money, their shares being 1/2, 1/3 and 1/6. Each man takes some money from the pile until nothing is left.
Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...

Pages

Dummy View - NOT TO BE DELETED