Problems from Another Time

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

The dimensions of a rectangular box in inches are expressed by three consecutive numbers. The surface of the box is 292 square inches. Find the dimensions.

A Tower on a Cliff

A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.

Dealing in Sheep

A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received $150 for them. How many did he buy?

Horse of Course

One person possesses 7 asava horses, another 9 haya horses, and another 9 camels. Each gives two animals away, one to each of the others.

The Amount of Time a Man Can Do Work

How long does it take a single man to do work when...

A Serious Series

Given the fraction ax/(a-x), convert it into an infinite series.

Four Integers

Given four integers which, if added together three at a time, their sums are: 20, 22, 24, and 27. What are the integers?

Golden Spheres

A California miner has a spherical ball of gold, 2 inches in diameter, which he wants to exchange for spherical balls 1 inch in diameter. How many of the smaller spheres should he receive?

Division Problem

The number 50 is divided by a certain number. If the divisor is increased by 3, the quotient decreases by 3.75. What is the number?

Logarithms: The Early History of a Familiar Function - Conclusion

The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.