You are here

Problems from Another Time

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

A speculator bought stock at 25% below par and sold it at 20% above par. He gained $1560. How much did he invest?
A vessel is anchored in 3 fathoms of water and the cable passes over a sheave in the bowspirt which is 6 ft above the water.
Given: a circle with an inscribed equilateral triangle. The triangle has an area of 12 square units. What is the area of the circle?
Wanting to know the breadth of a river, I measured a base of 500 yards in a straight line close by one side of it.
If 80 dollars worth of provisions will serve 20 men for 25 days, what number of men will the same amount of provisions serve for 10 days?
A castle has n rooms each of which has 7 samurai in it.
Two persons sat down to play for a certain sum of money; and agree that the first who gets three games shall be the winner. After a few games they resolve to divide the stakes. How much should each person receive?
Find two number with sum 20 and when squared their sum is 208.
A certain slave fled from Milan to Naples going 1/10 of the whole journey each day. At the beginning of the third day, his master sent a slave after him and this slave went 1/7 of the whole journey each day.
Given the cats eye as shown. Let the radius of the eye be given by R. What is the area of the pupil?

Pages

Dummy View - NOT TO BE DELETED