You are here

Problems from Another Time

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

What is the sum of the reciprocals of the triangular numbers?
A tree is 20 feet tall and has a circumference of 3 feet. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?
Suppose the area of an equilateral triangle be 600. The sides are required.
A speculator bought stock at 25% below par and sold it at 20% above par. He gained $1560. How much did he invest?
A certain gentleman ordered that 90 measures of grain were to be transported from his house to another, 30 leucas distant.
Given: a circle with an inscribed equilateral triangle. The triangle has an area of 12 square units. What is the area of the circle?
Given a pendulum as shown. The height of the pendulum is two units and its horizontal width is 2 units. What is the area of the pendulum?
If 80 dollars worth of provisions will serve 20 men for 25 days, what number of men will the same amount of provisions serve for 10 days?
I wish to find three numbers of such nature that the first and the second with 1/2 of the third makes 20...
Three hundred pigs are to be prepared for a feast.