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There are two piles, one containing 9 gold coins, the other 11 silver coins.

What is the perpendicular height of a cloud when its angles of elevation were 35 degrees and 64 degrees as taken by two observers?

History of Mathematics - Mesopotamia to Modernity

A new history of mathematics text which asks lots of questions about the history and the mathematics.

Sums of Powers of Positive Integers

A history of attempts to develop formulas expressing the sums of powers of the first n positive integers from the Pythagoreans to Jakob Bernoulli. With exercises.

Euler's Gem: The Polyhedron Formula and the Birth of Topology

A sketch of the history of topology, beginning with the polyhedron formula, but continuing up to the present.

Circle, Square, and Triangle

A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.

A Dangerous Castle Indeed

A castle has n rooms each of which has 7 samurai in it.

Money Makes the World Go Around

You have two sums of money, the difference of which is 2 dirhems; you divide the smaller sum by the larger and the quotient is equal to 1/2. What are the two sums of money?

Arthur Cayley: Mathematician Laureate of the Victorian Age

A biography of Arthur Cayley, the outstanding mathematician of Victorian Britain.

A General Question

Suppose General [George] Washington had 800 men and was supplied with provisions to last 2 months but he needed to feed his army for 5 months.