So do middle school kids.
Sometimes, when we finish a couple of minutes early, I like to do a couple with the class.
I've been using the same ones for several years, and it's interesting to see how quickly (if at all) the kids can figure them out. A few of my favorites follow. Now, I know that the Google search bar is just a few inches up, but no cheating!
(Don't worry - answers included below)!
Feel free to post your favorites!
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Truth-Tellers and Lie-Tellers
You're walking through the woods, and you come to a fork in the path. You know that one direction leads to the Truth-Teller Village (where everyone always tells the truth), and the other leads to the Lie-Teller Village (where everyone always lies). At the fork in the road is an old man. You don't know whether he is a Truth-Teller or a Lie-Teller, but you are allowed to ask him one question. Your goal is to reach the Truth-Teller Village.
What question do you ask?
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The Pattern
Take a look at the pattern to the left.
What comes next?
I love the "Ooooohhhhhhhhh," I get from kids on this one.
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Pennies
Given the arrangement of pennies to the right,
move exactly one penny and create one row
and one column each containing exactly four pennies.
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And, the mother of them all...
1 11 21 1211
Given the following pattern, what is the next line?
1
11
21
1211
After a couple of minutes, I usually tell the kids that...
1. The math involved isn't anything a kindergartner couldn't do.
2. I never figured it out. Someone had to tell me (although I tried it for two weeks).
3. Just for fun, I usually tell them the next line - 111221 - and ask for the one after that.
(It goes on forever)
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Brainteaser Answers
Truth-Tellers and Lie-Tellers
You ask, "Which way to your village?"
A Truth-Teller tells the truth and points toward the Truth-Teller village.
A Lie-Teller tells a lie and points toward the Truth-Teller village.
The Pattern
Given the image
to the left, I think
we can declare
this one solved!
Pennies
Place the uppermost
penny directly on top
of the center penny.
Four across, four down!
1 11 21 1211
This is a "say what you see pattern.
Each line, when read out loud, describes the line immediately above it:
1
11 "One 1"
21 "Two 1's"
1211 "One 2, One 1"
111221 "One 1, One 2, Two 1's"
So, the next line would be...312211
That's, "Three 1's, Two 2's, One 1"