- A chess board has 8 by 8 equals 64 squares.
We are given 32 dominoes, each the size of 2 adjacent squares.
- Explain why we can cover the chess board with these 32 dominoes.
- Mary has a little saw with which she cuts the top left and the bottom
right little squares off the chess board.
Before running away, she also takes one of the dominoes.
Question:
Can we cover the mutilated chess board with the remaining 31 dominoes?
- Click on this link to see this puzzle, a
triangle of dimes.
- William, a logician, and Sam, a computational scientist among other
things, spin a coin on the bar to see who pays for each round of root beer.
After a couple of hours William observes that he has won way more times than
Sam, despite the fifty-fifty chances with the coin.
So William offers the following deal.
Sam gets 2 fair coins and William gets 1.
Each time Sam tosses more heads than William, Sam wins.
What is the chance for Sam to win under this novel arrangement?
- A student on her way to Rome reaches a fork in the road.
One way continues to Rome, and the other is a dead end.
Luckily there sit on a bench two brothers, named Ivan and Jose.
Unfortunately one of them always lies.
Fortunately one of them always tells the truth.
She knows not which one is the truth teller, and which one is not.
What one question should she ask to one of the people to get the correct answer
for her quest for the way to Rome?
- Two women mathematicians are sitting at a roadside cafe, talking about
family.
One mentions that she has 3 daughters the product of whose ages equals 36.
Remarkably, she mentions, the sum of their ages equals the number on the house
across the street.
The other replies that this is not enough information to find the ages of the 3 daughters.
True, says the one, but note that my oldest daughter has beautiful eyes.
Ah, says the other, but then I know your daughter's ages.
What are the ages of the 3 daughters?
- "Our math teacher has more than a million good ideas," says Alli.
"He does not," says Emily, "he has fewer good ideas."
"He has at least one good idea," says Brigid.
If only one of the 3 statements is true, how many good ideas does our math
teacher have?
- Click on this link to see 8 figures.
Complete the last row to continue the pattern of the 1st and 2nd row.
- Let us count on the fingers of our left hand as follows.
Our little finger is 1, our ring finger is 2, our middle finger is 3, our
index finger is 4, and our thumb is 5.
Keep counting by moving in the opposite direction:
The index finger is 6, the middle finger is 7, the ring finger is 8, and the
little finger is 9.
Keep counting by again reversing direction;
The ring finger is 10, the middle finger is 11, and so on, each time reversing
direction.
Which finger do we end on when we count to 2017?
- On the kitchen table lies a row of 30 coins, a mixture of pennies,
nickels, dimes, and quarters.
Alternatingly Elizabeth and Jane take one coin from the table, but with the
condition that each can only take a coin from either end of the row.
How can beginner Elizabeth guarantee that she ends up with at least half of the
total value of the coins?
- Click on this link to see this puzzle,
matches and 5 squares.
- Melania and Donald play a game with a pile of 100 jelly beans, where
they alternate in taking 1, 2, or 3 jelly beans from the pile.
Winner is the one who takes the last jelly bean.
Donald begins.
For which of the two is there a winning strategy, and what is that strategy?
- A chess board has 8 by 8 equals 64 squares.
We are given 32 dominoes, each the size of 2 adjacent squares.
- Explain why we can cover the chess board with these 32 dominoes.
- Mary has a little saw with which she cuts the top left and the bottom
right little squares off the chess board.
Before running away, she also takes one of the dominoes.
Question:
Can we cover the mutilated chess board with the remaining 31 dominoes?
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