Problems from Another Time

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

Determine by using algebra the number of degrees in the angle A where: cos A = tan A

Of a collection of mango fruits, the king took 1/6; the queen 1/5 the remainder, and the three princes took 1/4, 1/3 and 1/2 (of the same remainder); and the youngest child took the remaining 3 mangoes.

Apes in a Forest

In a forest, a number of apes equal in number to the square of 1/8 of the total number of apes are noisy. The remaining 12 apes are on a nearby hill irritated. What is the total number of apes in the pack?

The Square and the Cube

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

Pair of Numbers

There are two numbers whose sum equals the difference of their squares.

To Know a Little

To find three quantities x.y, and z...

Four Circles in a Square

In a given square, inscribe 4 equal circles so that...

Neither Rain nor Sleet nor Snow

If two Post-Boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...

Swinging Pendulum

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?