A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.

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

A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.

A carpenter has undertaken to build a house in 20 days. He takes on another man and says; "If we build the house together, we can accomplish the work in 8 days!" How long would it take this other man to build the house working alone?

How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students

Now there are six-headed four-legged animals and four-headed two-legged birds placed together.

A fellow said that when he counted his nuts by twos, threes, fours, fives and sixes, there was still one left over; but when he counted them by sevens they came out even. How many did he have?

A general formed his men into a square, that is, an equal number in rank and file, and he found that he had an excess of 59 men.

Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions

Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.

Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the lengths of those sides.

There is a fish whose body weighs 8oz. Tell me how much the whole fish weighs?