The Pi Trivia Game

by Eve Andersson


Home : Pi : The Pi Trivia Game

Finally this is your chance to pay tribute to the magnificent transcendental number that we have all grown to love! Here are 25 questions (given to you 5 at a time), picked randomly from my pi question database. Get ready for the thrill of your lifetime, the ultimate challenge, The Pi Trivia Game!

1. The physicist Willebrord Snellius (1580-1626) found polygons which better approximated the perimeter of circles than do inscribed and circumscribed polygons. Better perimeter approximations lead to more quickly converging pi approximations. What scientific discovery is Snellius best known for?

2. Consider the following series of natural numbers, constructed by taking successively larger strings of digits from the beginning of the decimal expansion of the number pi:
3, 31, 314, 3141, 31415, 314159, 3141592, etc.
Out of the first 1000 numbers in this series, how many are primes? (for example, the first two numbers, 3 and 31, are both primes)

3. It has been proven impossible to "square the circle." What does it mean to square the circle?

4. Which of the following binary numbers is closest in value to pi:

5. If you pick any two integers at random, what is that probability that they will be relatively prime? ("relatively prime" means that the two numbers share no divisors except 1)