Someone gave Winnie-the-Pooh a barrel of honey, placing it on the porch of his house. Pooh suspects that it was one of his friends: Piglet, Tigger or Eeyore. But how do you know? Each of them points to one of the other two. Only Piglet told the truth. If everyone pointed not to the one they point to, but to the second one, then Eeyore would be the only one who told the truth. Who gave the gift?
Leaflet #logic
Leaflet #logic
One of the three friends gave honey to Rabbit in the same way. Piglet answered Rabbit's questions that it was Eeyore, and Rabbit forgot what Eeyore and Tigger said. Pooh took matters into his own hands and found out that only one of the three had told the truth, and he was the one who made the gift. Who gave the gift?
Leaflet #logic
Leaflet #logic
Today, July 22, is Pi Approximation Day!
#celebration π
Cowboy Joe bought several bottles of Coca-Cola for 40 cents each, several sandwiches for 24 cents and 2 steaks at the saloon. The bartender said it was $20.50. Cowboy Joe told the bartender everything he thought about his ability to count. Was the bartender really wrong?
Leaflet #logic
#celebration π
Cowboy Joe bought several bottles of Coca-Cola for 40 cents each, several sandwiches for 24 cents and 2 steaks at the saloon. The bartender said it was $20.50. Cowboy Joe told the bartender everything he thought about his ability to count. Was the bartender really wrong?
Leaflet #logic
π3
Three clown brothers Paul, FranΓ§ois and Albert from the Fratellini family entered the arena wearing red, blue and green shirts. Their shoes were the same three colors. FranΓ§ois's shoes and shirt were the same color. There was nothing red on Albert. Paul's shoes were green, but the shirt was not. What color shoes and shirt did Albert and FranΓ§ois have?
Leaflet #logic
Leaflet #logic
Wikipedia
Fratellini family
family of clowns and circus artists
π3π€©2π1
There are only two dollars in two wallets. At the same time, there is twice as much money in one wallet as in the other. How can this be?
Leaflet #difficult_situation
π£ Share the problem with kids!
π¬ Write comments!
βοΈ Have a nice Sunday!
Leaflet #difficult_situation
π£ Share the problem with kids!
π¬ Write comments!
βοΈ Have a nice Sunday!
Wikipedia
Wallet
small, flat case or pouch that is used to carry personal items such as cash
π€3π₯2
The castle is surrounded by a moat shaped like a rectangular frame. The width of the moat is the same everywhere. There are two boards whose lengths are equal to the width of the moat. Is it possible to cross the moat?
Leaflet #difficult_situation
Leaflet #difficult_situation
Wikipedia
Moat
dry or watery ditch surrounding a fortification or town
β€1π1
Is it possible to load seven barrels of lemonade, seven empty barrels and seven half-filled barrels onto three trucks so that each truck has seven barrels and an equal amount of lemonade?
Leaflet #difficult_situation
Leaflet #difficult_situation
Wikipedia
Lemonade
lemon-flavored beverage
π1π€1
Two trains are moving towards each other on the same railway line. A dead end departs from it, the length of which is less than the length of the train, but more than the length of one car. How do trains miss each other?
Leaflet #difficult_situation
Leaflet #difficult_situation
Wikipedia
Train
form of rail transport consisting of a series of connected vehicles
π€―2
Three kittens and three puppies ate twenty sausages. The red kitten ate the most, and the gray one ate the least. Could it be that the puppies ate no less sausages than the kittens?
Leaflet #difficult_situation
π The Futurama Theorem
Leaflet #difficult_situation
π The Futurama Theorem
YouTube
The Futurama Theorem
The Futurama episode The Prisoner of Benda features a machine that allows two people to switch minds. The problem is that two bodies can only switch minds once. Fry and Co. goes wild on the mind switching machine and have to resort to some serious math toβ¦
π1
There are at least ten liters of water in the tank. Is it possible to collect six liters with a nine-liter bucket and a five-liter can?
Leaflet #difficult_situation
π 9.999... really is equal to 10
Leaflet #difficult_situation
π 9.999... really is equal to 10
YouTube
9.999... really is equal to 10
Is it possible to explain that 9.999... = 10 in a way that convinces 99.999...% of all the people in the audience? With the help of some clueless participants of the reality show Total Drama Island the Mathologer gives this math communication challenge hisβ¦
π₯1
A peasant needs to ferry a wolf, a goat and cabbage across the river. But the boat is such that only a peasant can fit in it, and with him either only a wolf, or only a goat, or only cabbage. But if you leave a wolf with a goat without a peasant, then the wolf will eat a goat, if you leave a goat with cabbage, then the goat will eat cabbage. What to do?
Leaflet #difficult_situation
More about this river crossing puzzle
Leaflet #difficult_situation
More about this river crossing puzzle
π€1
A woman picked apples in the garden. To get out of the garden, she had to go through four doors, each of which was guarded by a fierce guard who took away half of the apples. She brought home 10 apples. How many apples did the guards get?
Leaflet #reverse_course
π Science or prayer?
Leaflet #reverse_course
π Science or prayer?
Telegram
Insight
An elderly woman who was an enthusiastic gardener declared that she had no faith whatsoever in predictions that some day scientists would learn to control the weather. According to her all that was needed to control the weather was prayer.
Then one summerβ¦
Then one summerβ¦
π€―2
An alley of trees was planted in a row in the park. A year later, another one was planted between any two neighboring trees. A year later they did the same. There were 1197 trees. How many were there initially?
Leaflet #reverse_course
π The Unbeatable Game from the 60s: Dr NIM
Leaflet #reverse_course
π The Unbeatable Game from the 60s: Dr NIM
YouTube
The Unbeatable Game from the 60s: Dr NIM
Buy a modern version of Dr NIM!
https://mathsgear.co.uk/products/braino
The game of (single pile) Nim can be won by anyone who understands a simple trick. A trick so easy, a 1960s mechanical plastic computer can play with perfect strategy, defeating allβ¦
https://mathsgear.co.uk/products/braino
The game of (single pile) Nim can be won by anyone who understands a simple trick. A trick so easy, a 1960s mechanical plastic computer can play with perfect strategy, defeating allβ¦
π3
Two pirates were playing for gold coins. First, the first lost half of his coins and gave them to the second, then the second lost half of his coins to the first, then again the first lost half of the coins. As a result, the first turned out to have 15 coins, and the second 33. How many coins did each of the pirates have before the game started?
Leaflet #reverse_course
Leaflet #reverse_course
Wikipedia
Piracy
act of robbery or criminality at sea
π₯1π€―1
One lily bloomed on the lake. Every day the number of flowers on the lake doubled, and on the 20th day the whole lake was covered with flowers. On what day was the lake half covered with flowers?
Leaflet #reverse_course
π Twitter
Leaflet #reverse_course
π Twitter
Twitter
MathProblem (@MathProblem314) / Twitter
Channel for the development of critical thinking.
Dare to think!
More about the system: https://t.co/PmCVaglgIB
Have the courage to use your own mind.
Dare to think!
More about the system: https://t.co/PmCVaglgIB
Have the courage to use your own mind.
π₯1
MathProblem ππ
Peppers were stolen from the president. As you know, those who steal pepper always lie. The press secretary said he knew who stole the pepper. Is he guilty? Check the answer here Leaflet #logic
Peppers were stolen from the president. As you know, those who steal pepper always lie. The press secretary said he knew who stole the pepper. Is he guilty?
Anonymous Quiz
31%
Yes, the press secretary is guilty
44%
No, the press secretary is innocent
25%
It is impossible to draw a conclusion about the guilt of the press secretary
π₯2
The following operations can be performed with numbers: multiply by two or randomly rearrange the numbers (you can't just put zero in the first place). Is it possible to get 74 out of 1 using such operations?
Leaflet #reverse_course
π₯³ 4th of August: John Venn's Birthday
English mathematician and logician John Venn was born in 1834. He is especially famous for introducing the "Venn diagrams" used in set theory and logic. Venn Diagram uses circles to visually and logically sort groups to illustrate their relationships to each other.
#celebration
Leaflet #reverse_course
π₯³ 4th of August: John Venn's Birthday
English mathematician and logician John Venn was born in 1834. He is especially famous for introducing the "Venn diagrams" used in set theory and logic. Venn Diagram uses circles to visually and logically sort groups to illustrate their relationships to each other.
#celebration
Wikipedia
John Venn
British logician and philosopher (1834-1923)
π₯1
All natural numbers from 1 to 1000 were written in the following order: first, the numbers whose sum of digits is 1 were written out in ascending order, then, also in ascending order, the numbers with the sum of digits 2, then the numbers whose sum of digits is 3, etc. In what place was the number 996?
Leaflet #reverse_course
Leaflet #reverse_course
π₯1
MathProblem ππ
Among four people, there are no three with the same name, or with the same patronymic, or with the same surname, but every two have the same name, or surname, or patronymic. Could this be? Check the answer here Leaflet #logic
Among four people, there are no three with the same name, or with the same patronymic, or with the same surname, but every two have the same name, or surname, or patronymic.
Could this be?
Could this be?
Anonymous Quiz
67%
It's possible
33%
It's impossible
π₯2
In the classroom of the math club, all the children who went there were given chocolates. The first visitor was given one chocolate bar and a tenth of all the remaining ones, the second visitor was given two chocolates and a tenth of the remaining ones, ..., the ninth visitor was given nine chocolates and a tenth of the remaining ones. After that, Sheldon came running, but, unfortunately, the chocolates were already over. How many chocolates did the children get?
Leaflet #reverse_course
Leaflet #reverse_course
Wikipedia
Chocolate
Chocolate is a food made from roasted and ground cocoa beans that can be a liquid, solid, or paste, either by itself or to flavor other foods. Cocoa beans are the processed seeds of the cacao tree (Theobroma cacao). They are usually fermented to develop theβ¦
π₯1