You are here

Problems from Another Time

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

Chuquet claimed that if given positive numbers a, b, c, d then (a + b) / (c + d) lies between a/c and b/d. Is he correct? Prove your answer
X, Y and Z hired a pasture for the season for $90.00. Each has a different number of mules and are on the pasture for a different number of days. How much is each to pay?
A merchant bought 50,000 pounds of pepper in Portugal for 10,000 scudi and paid a tax of 500 scudi.
A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?
Find a number having remainder 29 when divided by 30 and remainder 3 when divided by 4.
A rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
As for a square piece of land that amounts to 100 square cubits, if it is said to you, "Cause it to make a piece of land that amounts to 100 square cubits that is round," what is the required diameter?
An oblong garden is a half yard longer than it is wide and consists entirely of a gravel walk...
There is a regular pentagon. The length of its side is a. Find the area of the pentagon. Generalize your result for a nonagon.