# Problems from Another Time

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

Find a number having remainder 29 when divided by 30 and remainder 3 when divided by 4.
A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square. Find their radius in terms of the sides; a,b,c, of the triangle.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Two ants are 100 paces apart, crawling back and forth along the same path. The first goes 1/3 pace forward a day and returns 1/4 pace; the other goes forward 1/5 pace and returns 1/6 pace. How many days before the first ant overtakes the second?
An oblong garden is a half yard longer than it is wide and consists entirely of a gravel walk...
Suppose a man had put out one cent at compound interest in 1620, what would have been the amount in 1824, allowing it to double once in 12 years?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.
In a circle whose circumference is 60 units, a chord is drawn forming a segment whose sagitta is 2 units. What is the length of the chord?
Gun metal of a certain grade is composed of 16% tin and 84% copper. How much tin must be added to 410 lbs. of this gun metal to make a composition of 18% tin?