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Pi - The Irrational Constant, Part 2

written by: shimonbentzvi
 
A second quiz on the usage, history and peculiarities of this mysterious number.

Question 1:


Excavations and research prove that pi was known as early as 20th century BC, when ancient Babylonian mathematicians used what value value for it?
22/7
3.12
25/8
104348/33215

Question 2:


The sequence of numbers, appearing within pi's value has been an issue of interest for many professional mathematicians and math lovers. Such pi explorers have found that what occurs at decimal position 2440?
We reach the extent to which pi was known by 1750.
We reach the last decimal place to which our largest computers can calculate pi.
We get the first appearance of "666".
We reach the last decimal place where computer ENIAC calculated pi in 1949.

Question 3:


The irrational mathematical constant, Pi has its own architectural monument in London, which was decorated with William Shank's version of the first 700 decimal places in 1937.
False
True

Question 4:


After years of calculations and observations of the results, mathematicians have found which of these statements about the mathematical constant pi to be true?
The number of 5's is larger than any other digit in pi.
The digits of pi are equally distributed.
The digits of pi eventually reach a point where they repeat their pattern.
The number of 3's is larger than any other digit in pi.

Question 5:


Pi is an issue of interest for mathematicians and math lovers from all over the world. In Japanese, what does the expression "En syu ritsu" refer to?
The Japanese term for pi
The largest computer in Japan used for finding even greater values for pi
Mitsubishi's motto for the quest for finding better values of pi
The Japanese term for an infinite number

Question 6:


In what famous math problem, first posed in the 18th century by a French mathematician, is pi involved?
Zeno's Paradox of the Tortoise
Zeno's Paradox of Achilles
Buffon's Needle Problem
The travelling salesman problem

Question 7:


The mathematical constant Pi has an important role in calculating the period of a pendulum.
False
True

Question 8:


Who was first to prove that beside an irrational number, pi is also transcendental number (i.e. is not a root to any polynomial equation with rational coefficients)?
Leonhard Euler
Ferdinand von Lindemann
Augustin Cauchy
Archimedes

Question 9:


The irrational constant pi is not only popular in the math science, but also in science fiction. Which of these TV series has an episode, in which pi plays a significant role?
Star Trek
The X-Files
Firefly
Lost in Space

Question 10:


In what way is this popular sentence connected to the constant, pi: "Sir, I send a rhyme excelling in sacred truth and rigid spelling."
It was written by Albert Einstein when he first discovered the irrationality of pi.
It is the beginning of a long poem describing the history of pi.
The value of pi is encoded in the position of each letter in the alphabet.
It is a mnemonic device for the approximate value of pi.

 


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