Two officers each have a company of men, the one has 40 less than the other.

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

Two officers each have a company of men, the one has 40 less than the other.

The cavity of our chimney is an upright parallelepiped, the diagonal of whose base is 60"; and the height of the lower side of the lintel above the plane of the floor is 40".

A number is required; that the square shall be equal to twice the cube.

Given a number, take 1/3 of the number away from itself and add 2. If this result is multiplied by itself, it equals the number plus 24. What is the number?

A leech invited a slug for a lunch a leuca away.

If an equilateral triangle whose area is equal to 10,000 square feet be surrounded by a walk of uniform width, and equal to the area of the inscribed circle, what is the width of the walk?

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

Imagine an urn with two balls, each of which may be either white or black. One of these balls is drawn and is put back before a new one is drawn.

Determine a number having remainders 2, 3, 2 when divided by 3, 5, 7 respectively.

Suppose a lighthouse is built on the top of a rock; the distance between a place of observation and that part of the rock level with the eye is 620 yds.