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Convergence articles

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The Cog-Wheel Revolution

Two cog-wheels, one having 26 cogs, and the other 20 cogs, run together. In how many revolutions of the larger wheel will the smaller gain in 12 revolutions?

Cow Dilemma

Suppose that for every 4 cows a farmer has, he should plow 1 acre of land, and allow 1 acre of pasture for every 3 cows; how many cows could he keep on 140 acres?

Gardening

An oblong garden is a half yard longer than it is wide and consists entirely of a gravel walk...

X Marks The Spot

What is the value of X...

Learning Geometry in Georgian England

The copybooks of two young men reveal very different purposes in learning geometry.

Horses and Stalls

It is required to determine whether 30 horses can be put into 7 stalls; so that in every stall there may be, either a single horse, or an odd number of horses.

A Locally Compact REU in the History of Mathematics: Involving Undergraduates in Research
A description of a Research Experience for Undergraduates conducted in 2007 at Hood College.
10 Into 3 Parts

Make of 10 three parts such that one part multiplied by 3 makes as much as the other multiplied by 4 and as the other multiplied by 5.

Cherry Blossom Poetry

On a day in spring a boy has gathered cherry blossoms under a cherry tree. Nearby a poet is reading some of his poems aloud. As he reads, the boy counts out the cherry blossoms, one blossom for each word of a poem.

Numbers Game #2

Given a number, take 1/3 of the number away from itself and also remove 2. If this result is multiplied by itself, it equals the number plus 24. What is the number?

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