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The number 50 is divided by a certain number. If the divisor is increased by 3, the quotient decreases by 3.75. What is the number?

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.

A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?
A method for extracting square roots used in Italy through the 18th century was introduced in a manuscript by the 12th century mathematician al-Hassar.
Explain the geometric basis of "completing the square," the original method of solving quadratic equations, to your students.
Heron of Alexandria (ca 200) wrote on many aspects of applied mathematics.
Chuquet claimed that if given positive numbers a, b, c, d then (a + b) / (c + d) lies between a/c and b/d. Is he correct? Prove your answer
Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.
A ladder has 100 steps. On the first step sits 1 pigeon; on the second, 2; on the third, 3; and so on up to the hundredth. How many pigeons in all?
A wonderful book about the square root of 2, beginning with the search for the side of a square double a given square.

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