Problems from Another Time

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

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.

What number is that, which being increased by 1/2, 1/3, and 1/4 of itself, the sum shall be 75?

One hundred men besieged in a castle, have sufficient food to allow each one bread to the weight of 14 lot a day for ten months.

The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB

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

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

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

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

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?

Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...

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