You are here

Problems from Another Time

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

A castle has n rooms each of which has 7 samurai in it.
Find two number with sum 20 and when squared their sum is 208.
A speculator bought stock at 25% below par and sold it at 20% above par. He gained $1560. How much did he invest?
Given: a circle with an inscribed equilateral triangle. The triangle has an area of 12 square units. What is the area of the circle?
Given the cats eye as shown. Let the radius of the eye be given by R. What is the area of the pupil?
Three hundred pigs are to be prepared for a feast.
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?
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?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
A fox, a raccoon, and a hound pass through customs and together pay 111 coins.