A square is inscribed inside of a circle with radius 4. If the perimeter of the square is P, what is P^2 ?
George rolls a random die and flips a random coin. What is the probability that George both rolls a prime number and flips tails?
John has a fair two sided coin and Jennifer has a fair six-sided die. John flips the coin and Jennifer rolls the die. What is the probability that Jennifer rolls a perfect square and John flips a heads?
Starting January 2, 2017, Jeanie saves one dollar on Monday, three dollars on Tuesday, five dollars on Wednesday, and so forth until Sunday, when she saves eleven dollars on Sunday. Then she starts over on Monday and does it again. If she continues this pattern, how much money will she have after saving her money … Continue reading Math Problem of the Week #15
What is xy if x-x2=y-y2, y does not equal 1, and x=1/y ?
Is it possible for there to be a perfect square which is 10 times another perfect square? If so, what is the smallest perfect square which has that property?
How many whole numbers between 1 and 100 have 5 factors?
Three kids are standing in a row. Each of them are asked to say their favorite planet in the solar system. Since there are 8 planets, and each kid must choose one planet, and assuming it is chosen randomly, what is the probability that they all choose the same planet?
15 friends meet together for a party. Each friend shakes the hand of each other friend, not counting his own. How many handshakes were there in all? BONUS QUESTION: In a similar situation, there are x friends meeting together for a party. Each friend shakes the hand of each other friend, same as above. … Continue reading Math Problem of the Week #10
What is (-1+2-3+4-5+6-7...-99+100)*2?