You are here

Problems from Another Time

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

A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?
Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.
One military horse cannot pull a load of 40 dan; neither can 2 ordinary horses, nor can three inferior horses.
Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20.
A guest on horseback rides 300 li in a day. The guest leaves his clothes behind and the host rides off to catch up with the guest once he discovers the clothes. Assuming the host rides without stop tell how far he can go in a day?
The three sides of a triangular piece of land, taken in order, measure 15, 10, and 13 chains respectively.
I have two fields of grain. From the first field I harvest 2/3 a bushel of grain/unit area; from the second, 1/2 bushel/unit area.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.
After a terrible battle it is found that 70% of the soldiers have lost an eye.