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Puzzles |
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These seven problems are worth 1 point each. Don't spend too much time on them, however. There are two more after these also worth 7 points each. Send your answers by email. Do not discuss them with others, or you will lose points. 
Disclosed on ABC's Alias: Season 1 1 2 3. THE LOOLOOLO DICTIONARY The Looloolo language has only 2 letters in its alphabet, L and O, but every possible sequence of letters is a word. For example, L means "Yes" and O means "No". LLLLLLLLLL means "Extremely Exciting". Whereas, LLLLLLLL is an eight legged squidipede found only on Looloololo. The longest words are 10 letters maximum. There is no word for God; Looloolos simply shrug when they express their awe of mystery. This eliminates any serious cursing in Looloolo. The Looloolo shrug is coincidentally similar to the American "Idunno" shrug. However, this shrug is defined in their dictionary like any other word, though it contains no letters at all. Questions: 1. How many words are in the Looloolo dictionary? 2. If the Looloolos wish to double their vocabulary, what would their maximum word length need to be? 3. If the Looloolos wish to join the 21st century, which maintains a vocabulary of a million words, how long will they need to make their longest words? 4. THE BARBER OF LOOLOOLOLO Every man on the island of Looloololo is clean shaven. Not one facial hair is visible anywhere. Each man either shaves himself, or the barber of Looloololo shaves him, but not both; that's the law in Looloololo. So who shaves the barber? If the barber shaves himself, then he belongs to both groups, and that breaks the law. However, if he does not shave himself, then the barber must shave him. But that's a contradiction. Looloololo has only one barber! Explain how this can be. What can the barber do to avoid breaking the law? 
5. THREE KIDS FROM LOOLOOLOLO Billy's father was a clean-shaven Looloolo man who had three children. He named his first child Loo and his second child LooLoo. What did he name his third child? 
6. LOOLOOLO SCRABBLE How many 7 letter Looloolo words can little Looloo make with a Scrabble rack that looks like this: LOLOLOO? Can you list them all to be sure? Remember, every arrangement of LOLOLOO is a word in the Looloolo dictionary.  
7. LOOLOOLO SECRET CODE Little LooLooLoo wrote a secret message to her pen pal in Nashville. Can you decipher it? If not, wait a few weeks, then come back and try again.
HOW TO SOLVE ANY PROBLEM
Listed below are 4 steps that solve any problem.
You will apply all these steps during this course.
1. UNDERSTAND THE PROBLEM.
You cannot solve a problem if you do not understand what you are asked to find.
The problem must be read and analyzed carefully.
You will probably need to read it several times.
After you have done so, ask yourself, "What must I find?”
2. DEVISE A PLAN.
There are many ways to attack a problem and decide what plan is appropriate
for the particular problem you are solving.
Here are some strategies that may prove useful:
Make a list, table, or chart.
If a formula applies, use it.
Look for a pattern.
Work backward.
Solve a similar simpler problem.
Guess and check.
Draw a sketch.
Use trial and error.
Use inductive reasoning.
Use common sense.
Write an equation and solve it.
Look for a “catch” or a “trick” if an answer seems obvious or impossible.
3. CARRY OUT THE PLAN.
Once you know how to approach the problem carry out your plan.
You may run into dead ends and unforeseen roadblocks, but be persistent.
If you are able to solve a problem without a struggle, it isn’t much of a problem.
4. LOOK BACK AND CHECK.
Check your answer to see that it is reasonable.
Does it satisfy the conditions of the problem?
Have you answered all the questions the problem asks?
Can you solve the problem a different way and come up with the same answer?
Can you use your solution to solve another problem?
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Comments:
From David - 9/5/06 3:16 PM
From Sunshine - 9/5/06 9:35 AM
From TBird - 9/4/06 9:51 PM
From BlondeGirl - 9/4/06 8:46 AM
From JooJoo - 9/3/06 1:48 PM
From wHolt - 9/3/06 12:46 PM
Yes—
Listening to our minds is the most important exercise in this course.
From David - 9/2/06 4:55 PM
Thank you Basslady. I feel like an idiot but I got that one. I dont know why I didnt listen to the instructor when he told me that same thing. You can only laugh.
David
From Shanja - 9/2/06 3:36 PM
From BassLady - 9/1/06 10:41 PM
From Soller - 9/1/06 9:48 PM
From BassLady - 9/1/06 8:09 PM
David,
I was quite confused myself on #5. I finally figured it out after I read it out loud after Mr. Holt suggested for me to do it more than once. I summitted 3 different answers and I finally got it. Read out and loud and slowly. I felt such relief when I answered it correctly, but I also couldn't believe it took me so long. You'll get it. Be persistant.
From HotrodMinivan - 9/1/06 2:51 PM
From 7Iron - 9/1/06 10:20 AM
From Kathi - 9/1/06 7:41 AM
I believe this is going to be one of the most interesting courses I have taken yet. A lot of the answers will be common sense if you watch what you read, others I will have to think about. It will really make us use our minds.
From Malic - 8/31/06 11:31 PM
In my opinion, I believe the course is designed to make you think inside, outside, and all around the box. It will help you learn to devise your own plan or work with a group to devise a plan to solve problems with the information you have at hand. In the real world the information at hand is all we will have. There will be no solutions manual like there are for 90% of math courses.
I, like I'm sure most of you, am used to being handed a problem, and being taught a set way to solve it. I believe this math course will teach us how to devise our own methods for solving a problem at hand, regardless of what it may be, and not be afraid to step outside of the norm to do so. Also, from what I've seen and experienced people in general tend to have a problem seeing whats obvious and using it.
From Bob - 8/31/06 11:00 PM
From Draco - 8/31/06 10:25 PM
From Slick - 8/31/06 7:45 PM
I thought at first this was easier than it looks and I was trying to over think it. Now I'm not so sure.
From WaterWise - 8/31/06 7:35 PM
The one thing I have concluded thus far is that maybe we are not graded on the answer for the problem but the methods that we used to gain our conclusions. So saying that the answer to puzzle #100 is 54,000 isn't the solution. The instructor wants to see our 5 Steps to solving the problem.
I have looked at these puzzles for several hours now. It seems that your answers could differ based on your interpretation of the question.
From Poovey - 8/31/06 7:10 PM
Blonde girl is right, a lot of hard work to figure these out......I'm already lost! It will be a challenge......
From BlondeGirl - 8/31/06 10:35 AM
From David - 8/31/06 9:36 AM
From wHolt - 8/30/06 9:05 AM
Remember
You lose points for giving away the puzzle answers!
Send your answers by email privately.
You can discuss other problems, but not the puzzles.
From Houdini - 8/29/06 9:15 PM
Last Modified 8/30/06 9:08 AM
well, #4 hasn't slapped me yet. But it will eventually. Shoot, we have two full months!