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Problems from Another Time

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

Mystery Number
What number is that, which being increased by 1/2, 1/3, and 1/4 of itself, the sum shall be 75?
Under Siege
One hundred men besieged in a castle, have sufficient food to allow each one bread to the weight of 14 lot a day for ten months.
Japanese Temple Problem 2
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
Pair of Numbers
There are two numbers whose sum equals the difference of their squares.
To Know a Little
To find three quantities x.y, and z...
Four Circles in a Square
In a given square, inscribe 4 equal circles so that...
Neither Rain nor Sleet nor Snow
If two Post-Boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...
Swinging Pendulum
Given a pendulum as shown. The height of the pendulum is two units and its horizontal width is 2 units. What is the area of the pendulum?
Four Numbers
Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...
Sides of a Rectangle 2
In a rectangle, given the diagonal and perimeter, find the sides

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