# Problems from Another Time

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

A man agreed to pay for 13 valuable houses worth \$5000 each, what the last would amount to, reckoning 7 cents for the first, 4 times 7 cents for the second, and so on, increasing the price 4 times on each to the last.
A certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Curve sketching, tangent lines, and optimization, explored via interactive applets
In a right triangle, let the perpendicular be 5 and the sum of the base and hypotenuse 25. Find the lengths of the base and hypotenuse
A general formed his men into a square, that is, an equal number in rank and file, and he found that he had an excess of 59 men.
The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11 and a second side has length 19. Find the lengths of the sides of the second triangle.
Find the area of the elliptical segment cut off parallel to the shorter axis;
There is a lion in a well whose depth is 50 palms. He climbs and slips back a certain amount each day. In how many days will he get out of the well?
There are two numbers which are to each other as 5 and 6 and the sum of their squares is 2196. What are the numbers?