You are here

Problems from Another Time

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

If an arc of 45 degrees on one circumference is equal to an arc of 60 degrees on another circle, what is the ratio of the areas of the circle?
One says that 10 is divided into three parts and if the small part is multiplied by itself and added to the middle one multiplied by itself the result is the large one multiplied by itself...
Knowing the base, b, and the altitude, a, of a triangle. Find the expression for a side of the inscribed square.
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
Now there are 100 deers [being distributed] in a city. If one household has one deer there is a remainder...Find the number of households in the city.
The highest point of the Andes is about 4 miles above sea level.
In order to encourage his son in the study of arithmetic, a father agrees to pay him 8 pennies for every problem solved correctly and to charge him 5 pennies for each incorrect solution.
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?
There is a round town 8000 feet in circumference.
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.

Pages

Dummy View - NOT TO BE DELETED