You are here

Problems from Another Time

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

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?
An oblong garden is a half yard longer than it is wide and consists entirely of a gravel walk...
There are four companies, in one of which there are 6 men, in another 8, and in each of the remaining two, 9 men. How many ways can a committee of 4 men be composed by choosing one man from each company?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Given a rectangle, find the line through one vertex of minimum length that passes through the extensions of the two opposite sides.
In a circle whose circumference is 60 units, a chord is drawn forming a segment whose sagitta is 2 units. What is the length of the chord?
There is a right triangle where: the sum of the upright multiplied by itself twice and the hypotenuse multiplied by itself is 700 units; and, the sum of the base multiplied by itself twice and the hypotenuse multiplied by itself is 900 units.
Three men wish to buy a horse but none have a sufficient amount of money for the purchase; to do so they must borrow from each other. How much money does each man have and what is the price of the horse?
Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25

Pages

Dummy View - NOT TO BE DELETED