|
26 April
|
|
This problem set has unrelated parts.
Show your work.
- We are given a 7-minute hourglass and an 11-minute hourglass.
With these, what is the quickest way to time the boiling of an egg for 15
minutes?
- At the office's recent potluck I noticed that all except two of the
dishes were salads, all except two were pastas, and all except two were
casseroles.
How many of each dish were at the potluck?
- Getting ready for MATH 1300, his favorite class, Joe still needs to
put on socks.
In his sock drawer there are 12 pairs of white socks, 6 pairs of black socks,
and 3 pairs of red socks.
The only problem is they are all mixed up randomly throughout the drawer.
How many socks does Joe need to take (without looking) before he can be sure
to have at least one matching pair?
- Click on this link to see this puzzle.
- Suppose we have a cube of cheese.
This cube is divided into 27 small cubes of cheese, so it looks like Rubik's
cube (3 x 3 x 3).
There is this little mouse who wants to eat the whole cube of cheese.
She starts eating the cube in the center, and then has to continue eating
adjacent cubes, where two cubes are called adjacent if they share a face.
Can the mouse eat the whole cube of cheese?
|
|
8 March
|
|
This problem set has unrelated parts.
Show your work.
- Jared ask his grandfather Danny how old he is.
Being a clever mathematician, Danny answers:
"All I am telling you is the following:
I have 6 children, and there are 3 years between each one and the next.
I had my first child when I was 21.
Now the youngest is 21."
Question:
How old is Danny?
- 6829, a prime number, can be expressed as the sum of two primes in
exactly one way.
Question:
What is the larger of the two primes whose sum is 6829?
- Click on this link to see this puzzle.
- Bill, a student in mathematics, and his friend John, an English major,
usually spin a coin on the bar to see who would pay for each round of root
beer.
One evening Bill says:
"Since I have won the last three spins, let me give you a break on the next
one.
You spin two pennies and I spin one.
If you have more heads than I have, you win.
If you don't, I win."
"Gee, thanks," says John.
On previous rounds, when one coin was spun, John's probability of winning was
1/2.
What are his chances under the new arrangement?
- A woman either always answers truthfully, always answers falsely, or
alternates true and false answers.
How, in two questions, each answered by yes or no, can you determine whether
she is a truth-teller, a liar, or an alternator?
|
