The Pi Trivia Game

by Eve Andersson

     

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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. Which of the following is NOT equal to pi?




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. One way to approximate the value of pi is to have a computer pick two random numbers, x and y, each between -1 and 1. If it does so N times, and if, for M of those times x^2 + y^2 < 1, then pi is approximately equal to 4*M/N (presumably becoming more accurate as N increases). This method of approximation is an example of:




4. Among the digits of pi currently known, the concentrations of each of the digits 0 - 9 are pretty much equal. However, in the first 30 digits of pi's decimal expansion, one number is conspicuously missing. Which number is it?




5. Who, in 1706, first gave the Greek letter "pi" its current mathematical definition?





eve@eveandersson.com