You are here

Convergence articles

Displaying 121 - 130 of 656

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?
Two bicyclists travel in opposite directions around a quarter-mile track and meet every 22 seconds. When they travel in the same direction on this track, the faster passes the slower once every 3 minutes and 40 seconds. Find the rate of each rider

Review of Bertram's text on the history of Greek science.

Given a wooden log of diameter 2 feet 5 inches from which a 7 inch thick board is to be cut, what is the maximum possible width of the board?
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
Two pages from a 1650 manuscript of the Lilavati of Bhaskara II (1114-1185). The second photo is an illustration of the Pythagorean Theorem.

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.

Explain the geometric basis of "completing the square," the original method of solving quadratic equations, to your students.
Two men start walking at the same time and travel a distance. One is walking faster and completes the journey sooner. How fast did each man travel?
There are two numbers whose sum equals the difference of their squares.