You are here

Problems from Another Time

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

How long does it take a single man to do work when...
A number is required; that the square shall be equal to twice the cube.
A leech invited a slug for a lunch a leuca away.
Find the height of a window.
A merchant bought 50,000 pounds of pepper in Portugal for 10,000 scudi and paid a tax of 500 scudi.
A man entered an orchard through 7 gates, and there took a certain number of apples. When he left the orchard, he gave the first guard half the apples he had and 1 apple more.
Find a number having remainder 29 when divided by 30 and remainder 3 when divided by 4.
My age is a number consisting of two digits, 1/2 of this number is a mean proportional between these two digits, and two years hence, my age will be a third proportional to the same two digits, directly as they stand in my present age.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Thirty flasks-10 full, 10 half-empty, and 10 completely empty- are to be divided among 3 sons so that flasks and contents should be shared equally. How may this be done?