A square is inscribed inside of a circle with radius 4. If the perimeter of the square is P, what is P^2 ?

# Weekly Math Problems

# Math Problem of the Week #17

George rolls a random die and flips a random coin. What is the probability that George both rolls a prime number and flips tails?

# Math Problem of the Week #16

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?

# Math Problem of the Week #15

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

# Math Problem of the Week #14

What is xy if x-x2=y-y2, y does not equal 1, and x=1/y ?

# Math Problem of the week #13

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?

# Math Problem of the Week #12

How many whole numbers between 1 and 100 have 5 factors?

# Math Problem of the Week #11

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?

# Math Problem of the Week #10

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

# Math Problem of the Week #9

What is (-1+2-3+4-5+6-7...-99+100)*2?