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Everyone, young and old, loves logic problems.
Take a look at the problem below. A 3rd-grader could solve it, but a 5th-grader would enjoy it as well:
Problem 1:
Mr. Trick shows you three boxes, with a piece of candy hidden in one of them. There is a message written on the top of each box. You know that only one of these statements is true. Which box should you open to get your candy?
The next problem would make a 1st-grader happy:
Problem 2:
Abbie, Betty, Cindy, and Daniela are drawing. Three of them are drawing dogs, and one is drawing a cat. Cindy and Daniela are drawing different animals, and Cindy and Betty are drawing different animals as well. What is each girl drawing?
How about a Knights and Liars problem? A middle-school kid would find this one challenging and exciting:
Problem 3:
On the island of Knights and Liars, every person either always tells the truth (a knight) or always lies (a liar). When meeting three islanders - Alex, Ben, and Christopher - you ask how many of them are knights.
"None," - replies Alex.
"One," - replies Ben.
Can you find out who Christopher is? What is his response?
And finally, a problem to challenge an experienced problem-solver:
Problem 4:
Twelve Knights and Liars politicians came to a City Hall meeting.
“Not a single person in this room tells the truth,” - said the first politician.
“Not more than 1 person in the room tells the truth,” - said the second one.
“Not more than 2 people in the room tell the truth,” - said the third one.
And so on ...
“Not more than 11 people in the room tell the truth,” - finally announced the twelfth politician.
How many Knights and how many Liars came to the City Hall meeting
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