Logic tasks for teenagers. These children's puzzles are not for every adult.

Good day, dear friends! Do you remember what grades you got in school? I remember. There are no triples in my certificate. But during any year of study there were triples, deuces, and even cola sometimes happened. So I think, who is Alexandra, my daughter, like? Excellent student, hangs on the honor roll! Apparently those additional exercises that we do with her are bearing fruit.

Lesson plan:

Exercise 1

Very interesting exercise! Useful not only for children, but also for adults. This exercise is used as a test at the casting of radio hosts. Imagine, you come to the casting, and they say to you: “Come on, my friend, connect us a chicken with a pole.” In all seriousness, they say so!

The meaning is precisely in this, it is necessary to combine two absolutely unrelated concepts. Radio presenters need this in order to quickly and beautifully compose lead lines to songs during live broadcasts, for easy transitions from one topic to another.

Well, the kids are suitable for the development of creative, creative, quick thinking.

So how do you connect a chicken with a pole? Lots of options:

  1. The chicken walks around the post.
  2. The chicken was blind, walked and crashed into a pole.
  3. The chicken was strong, hit the pole, and it fell.
  4. The pillar fell right on the chicken.

Do you want to work out? Fine. Connect:

  • chamomile with milk;
  • headphones with a jellyfish;
  • moon boots.

Exercise 2. Word Breakers

If in the previous exercise we connected, then in this we will break one long word into many short ones, consisting of letters of a large word. According to the rules, if a letter occurs once in a long word, then it cannot be repeated twice in short words.

For example, the word "switch" breaks down into:

  • tulle;
  • key;
  • beak.

I don't see any more options, do you?

You can break any long words, for example, “holiday”, “picture”, “towel”, “polar explorer”.

Exercise 3. Puzzles

Solving puzzles helps to think outside the box, creatively. Teaches the child to analyze.

Rebuses may contain images, letters, numbers, commas, fractions, placed in a very different order. Let's try to solve some simple puzzles together.

  1. On the first we see the syllable "BA" and "barrel". Connect: BA + Barrel = Butterfly.
  2. On the second, the principle is the same: Baran + KA = Bagel.
  3. The third is more difficult. Cancer is drawn, and next to it is “a = y”. So in the word cancer, the letter "a" must be replaced with the letter "y", we get "hands". To this we add another "a": hand + a = hand.
  4. The fourth rebus with a comma. Since the letter “A” is the first, the guess word begins with it. Next, we see the “fist”, after the picture there is a comma, which means that the last letter must be subtracted from the word “fist”. Let's get "cool". Now we combine everything together: A + kula = shark.
  5. The fifth rebus is only at first glance difficult. You need to remove the letter “and” from the word “saw”, and read the word “cat” backwards. As a result, we get: pla + current = handkerchief.
  6. The sixth, fully alphabetic rebus. Everything is clear with the first and last letters, but what about the middle? We see the letter "o" drawn in the beech "t", so let's say "in t o". We connect: A + WTO + P \u003d AUTHOR.

Trained? Now try to solve the puzzle yourself.

You can share your answers in the comments. You will find many puzzles in children's magazines and.

Exercise 4. Anagrams

Can an orange be turned into a spaniel and vice versa? "Easily!" anagram lovers will answer. Even Magic wand will not need.

An anagram is a literary device that consists in rearranging the letters or sounds of a certain word (or phrase), which results in another word or phrase.

Just as easily, a dream turns into a nose, a cat into a current, and a linden into a saw.

Well, shall we try? Let's make it so:

  • the "carriage" flew to the stars;
  • "word" grew on the head;
  • "lace" learned to fly;
  • "atlas" became edible;
  • "pump" settled in the forest;
  • "mote" became transparent;
  • the “roller” was placed on the table before dinner;
  • "bun" learned to swim;
  • "chamomile" was spinning by the lantern on summer evenings;
  • "Park" could not live without water.

Exercise 5. Logic problems

The more logic puzzles you solve, the stronger your thinking becomes. After all, it is not for nothing that they say that mathematics is gymnastics for the mind. Indeed, when solving some of them, you directly feel how the brain moves.

Let's start with the simpler ones:

  1. Kolya and Vasya solved problems. One boy decided at the blackboard, and the other at the desk. Where did Vasya solve problems if Kolya did not solve them at the blackboard?
  2. Three old grandmothers live in the same entrance, on the third, fifth and seventh floors. Who lives on what floor, if grandmother Nina lives above Valya's grandmother, and Galya's grandmother lives below Valya's grandmother?
  3. Yura, Igor, Pasha and Artem finished in the top four in the running competition. Who took what place? It is known that Yura did not run first or fourth, Igor ran after the winner, and Pasha was not the last.

And the next three problems Sashulya brought from the Mathematical Olympiad. These are tasks for the third grade.

“The gardener planted 8 seedlings. Of all but four, pear trees have grown. All but two pear trees grow pears. Pears from all fruit-bearing pear trees except one are not tasty. How many pear trees have tasty pears?”

“Vasya, Petya, Vanya wear ties of only one color: green, yellow and blue. Vasya said: "Petya does not like yellow." Petya said: "Vanya wears a blue tie." Vanya said: "You are both deceiving." Who prefers what color if Vanya never lies?

And now attention! A task of increased difficulty! "On the backfill," as they say. I couldn't solve it. I suffered for a long time, and then I looked at the answers. She is also from the Olympics.

“The traveler needs to cross the desert. The transition lasts six days. The traveler and the porter who will accompany him may take with him a supply of water and food for one person for four days each. How many porters will the traveler need to realize his plan? Enter the smallest number."

If you still fall asleep on any task, then contact me, I will help)

Exercise 6. Match puzzles

Matches are not toys for children! A tool for training thinking. For safety reasons, I suggest replacing matches with counting sticks.

These simple little sticks make very complex puzzles.

First, let's warm up:

  • fold two identical triangles from five sticks;
  • of seven sticks, two identical squares;
  • remove three sticks to make three identical squares (see picture below).

Now more difficult:

Move three sticks so that the arrow flies in the opposite direction.

The fish also needs to be turned in the other direction, while shifting only three sticks.

After shifting only three sticks, remove the strawberry from the glass.

Remove two sticks to make two equilateral triangles.

The answers can be found at the end of the article.

Exercise 7

And now let's work as Sherlock Holmes! Let us seek the truth and discover lies.

Show the child two pictures, on one of which depict a square and a triangle, and on the other a circle and a polygon.

And now offer cards with the following statements:

  • some figures on the card are triangles;
  • there are no triangles on the card;
  • there are circles on the card;
  • some of the figures on the card are squares;
  • all shapes on the card are triangles;
  • there are no polygons on the card;
  • There are no rectangles on the card.

The task is to determine whether these statements are false or true for each picture with figures.

Such an exercise can be carried out not only with geometric shapes, but also with images of animals. For example, put a cat, a fox and a squirrel on the picture.

Statements can be as follows:

  • all these animals are predators;
  • there are pets in the picture;
  • all the animals in the picture can climb trees;
  • all animals have fur.

Pictures and statements to them can be selected independently.

Exercise 8. Instruction

We are surrounded by a variety of things. We use them. Sometimes we do not pay any attention to the instructions that are attached to these items. And it also happens that there are simply no instructions for some very necessary items. Let's fix this misunderstanding! We will write the instructions ourselves.

Take, for example, a comb. Yes, yes, the usual comb! That's what we got with Alexandra.

So, instructions for using the comb.

  1. A comb is a device for making hair smooth and silky, made of plastic.
  2. Use a comb should be with increased shaggy and curly.
  3. In order to start combing, approach the comb, gently take it in your hand.
  4. Stand in front of a mirror, smile, bring the comb to the roots of your hair.
  5. Now slowly move the comb down to the ends of your hair.
  6. If there are obstacles in the form of knots on the way of the comb, then run the comb over them several times with weak pressure, while you can scream a little.
  7. Each strand of hair is subject to processing by a comb.
  8. Combing can be considered finished when the comb does not meet a single knot on the way.
  9. After combing, it is necessary to rinse the comb with water, put it in a place specially designated for it.
  10. If a tooth has broken off a comb, you need to throw it in the trash.
  11. If all the teeth of the comb have broken off, send it after the tooth.

Try writing instructions for a pot, or slippers, or a glasses case. It will be interesting!

Exercise 9. Making up a story

Stories can be composed in different ways, for example, based on a picture or on a given topic. By the way, this will help. And I suggest you try to compose a story based on the words that must be present in this story.

As always, an example.

Words are given: Olga Nikolaevna, poodle, sequins, turnip, salary, gray hair, castle, flood, maple, song.

Here's what happened to Sasha.

Olga Nikolaevna walked down the street. On a leash, she led her poodle Artemon, the poodle was all shiny. Yesterday he broke the lock on the locker, got to the box of glitter, and poured it all over himself. And Artemon gnawed through the pipe in the bathroom and made a real flood. When Olga Nikolaevna came home from work and saw all this, gray hair appeared in her hair. And now they were going for turnips, as turnips calm the nerves. And the turnip was expensive, worth half the salary. Before entering the store, Olga Nikolaevna tied the poodle to a maple tree and, singing a song, went inside.

Now try it yourself! Here are three sets of words:

  1. Doctor, traffic light, headphones, lamp, mouse, magazine, frame, exam, janitor, paper clip.
  2. First grader, summer, hare, button, gap, bonfire, Velcro, shore, plane, hand.
  3. Konstantin, jump, samovar, mirror, speed, sadness, trip, ball, list, theater.

Exercise 10

We have already worked as detectives. Now I propose to work as a police officer. The fact is that the words in well-known proverbs and sayings violated the order. We will deal with violators of the order. Try to arrange the words the way they are supposed to stand.

  1. Food, comes, time, in, appetite.
  2. You will pull out, not, labor, from, a fish, a pond, without.
  3. Measure, one, a, one, seven, cut, one.
  4. And, ride, sled, love, carry, love.
  5. Waiting, no, seven, one.
  6. Word, cat, and, nice, kind.
  7. One hundred, a, rubles, have, don't, have, friends, a hundred.
  8. Falls, not, apple trees, far, apple, from.
  9. Flowing, stone, not, water, recumbent, under.
  10. Autumn, consider, by, chickens.

I want to clarify. We don't do this on purpose. That is, it doesn’t happen that I say: “Come on, Alexandra, sit down at the table, let’s develop thinking!” No. All this in between times, if we go somewhere, we go, before going to bed instead of books. It is very interesting to engage in, so you don’t have to force anyone.

Well, now the promised answers to matchstick puzzles!

Puzzle Answers

About two triangles of five matches.

About two squares out of seven.

We get three squares.

Expand the arrow (watch the color of the sticks).

We turn the fish.

And about two equilateral triangles.

I recently found this video on the internet. It has completely different exercises. We tried, until it turns out with difficulty. Well, let's practice. See if you can use it too.

Dare! Get busy! Develop with your children. Try these "golden" exercises. Show off your results in the comments!

Thank you for your attention!

And I look forward to visiting again! Here you are always welcome!

1) From the four sevens, you need to get the numbers 1,2,3,5. Any arithmetic operations and any brackets are allowed.

2) Two pigs and three lambs on the farm weigh 46 kg, and three pigs and two lambs weigh 44 kg. How much does 1 piglet weigh? How much does one lamb weigh?

3) Olenka bought a notebook. She decided to number the pages and started from the first. She had to write 39 numbers. How many pages did Olya number?

4) 1/3 X was added to the number X, and then another 25. It turned out 33. What is the number X equal to?

5) How to write the number 50 using three identical numbers. Happened? And now with the help of three identical numbers.
Write the number 100 using three hundred.

6) Which is larger, a third of a half or a half of a third?

7) I was given an example at school in which all odd numbers are written in blue, and all even numbers are written in yellow. And I thought: "What color will it be number-- sum even and odd numbers?

8) Sasha put 3 identical round parts from the designer on one bowl of toy scales. On the other bowl - 5 rectangular parts. The scales have evened out. Then he put instead of round 6 square parts. The scales again showed a state of equilibrium. How many round pieces should be placed on one bowl if there are 12 square pieces on the other?

9) You are a bus driver. At the first stop, 6 men and 3 women entered, and two women with children entered. At the second, one man came out and one woman entered with a dog. At the third stop, two more women entered. How old is the driver?

10) Cucumbers were pickled in a barrel. The weight of a barrel of cucumbers is 80 kg. When half of the pickled cucumbers were eaten during the autumn and winter, the barrel of cucumbers began to weigh 41 kg. How much does an empty barrel weigh? How much will a barrel of cucumbers weigh if you have already eaten 2/3 of the original number of cucumbers in the spring?

11) In the 5th group kindergarten 40 mittens dry on the battery. There are 1/5 fewer children in the 6th group than in the 5th. How many children are in the 6th group?

12) Arrange the "+" signs between the numbers 5,6,7,8,9,0 so that the total is 170.

13) Tolya and Vova rode in the same elevator. Tolya arrived on the 1st floor, and Vova - on the 12th. How could it be?

14) The children played football for 2 hours. Goalkeeper Fedya was supposed to be at home already 5 hours ago, in order to do his homework in an hour, after another 2 hours to come to his grandmother in the village to help dig potatoes. And after another 2 hours, he was already supposed to take the train going back to the city. Parents are waiting for him at home at 20.00. What time did the guys start playing football?

15) Vitya and Anya have pencils. If Anya gives Vitya 1 pencil, then they will have the same amount, and if Vitya gives Anya 1 pencil, then she will have twice as much as Vitya. How many pencils does each child have?

16) Olya invited friends to a birthday party on a day off 3 hours after the hour that follows the hour before the hour, which is 11 hours after midnight. What time should the guys arrive?

17) Petya rode a scooter first 1/5 of his way, then 1/4 of the rest, and then another half of the rest. He has 25 meters to go. What is the whole path of Petya?

18) Each of 2 stores has 120 kg of potatoes. Each sack of the second shop contains 4g fewer potatoes than each sack of the first. Therefore, in the 2nd store there is 1 more bag than in the first one. How many bags of potatoes are in store 2?

19) Masha and Dasha go towards each other and throw the ball to each other. Masha walks at a speed of 200 steps/hour, and Dasha - 50 steps/hour. The distance between them is 10 paces. The ball flies at a speed of 400 children's steps per hour. At the last moment, the ball bounced into the bushes and the girls met. How many child steps did the ball fly?

20) Vika and Sonya have fish in their aquariums. Vika gave Sonya 2 fish, after which Vika had 3 times more fish. How many fish in the aquariums did each of the girls have at the beginning, if there are only 12 fish?

21) Cheburashka and Gena the crocodile decided to plant an alley of lindens. Cheburashka thought that Crocodile Gena had so much work at the zoo that he should plant trees himself. He took a shovel at night and planted all the seedlings after 4 meters. Waking up in the morning, Gena was delighted, but decided that Cheburashka planted trees often. Together they dug up lime trees and transplanted them after 6 meters. The first hole has already been dug. After how many meters will the holes coincide again? Solve the same problem with numbers 8 and 12, 3 and 8, 3 and 15.

22) Three refrigerators cost as much as 9 juicers, and 2 vacuum cleaners as 1 refrigerator. One juicer costs 1 thousand rubles. How much does one vacuum cleaner cost?

23) Tea in a beautiful box costs 50 rubles. 20 kop. A box is cheaper than tea by 1 rub. 20 kop. How much does tea cost without a box?

24) Continue the series of numbers:
1, 3, 7, 11, 13, 17, 19, 21, 23,..., ..., ....
Write at least three numbers.

25) Sveta's mother gave money for 3 ice creams. The girl bought a cake with 1/3 of this money, and then with 1/3 of the remaining pie. Sveta spent the rest of the money on 4 chewing gums. How much does one ice cream cost if the price of chewing gum is 10 rubles?

26) Vanya, Kolya and Sasha go to school along the same road from the same entrance, the distance from which to the school is 280 m. Having left at the same time, they followed at different speeds. When Sasha was 3 minutes from school, Kolya and Vanya walked a total of 392 meters. When Sasha crossed the threshold of the school, Vanya and Kolya had to walk 200 meters in total. Find Sasha's speed.

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positive psychology 16.01.2018

Dear readers, who among us has not solved funny riddles at holidays or other events, and everyone will surely agree that this will make everyone present laugh like nothing else. And it's not even about giving the right answer. Individual pranksters, shouting out incorrect but witty answers, thus arrange whole performances, causing even more laughter.

Although interesting logic puzzles with a trick can be not only funny and funny, but also complex and serious. You can think about such things, break your head, and test yourself for attentiveness and quick wits. And although we have long forgotten about such a pastime, why not sometimes get together with friends and look for the right answers for such logical puzzles?

In a word, riddles with a trick and logic for any occasion can be picked up to spend time both fun and useful.

Logic riddles with a trick simple with answers

Not difficult riddles with a catch are perfect for children's morning performances and fun walks with children on a day off.

A and B were sitting on the pipe. A went abroad, B sneezed and went to the hospital. What's left on the pipe?
(Letter B, and I went to the hospital)

How to jump from a ten-meter ladder and not crash?
(Jump off the first step)

3 birches grew.
Each birch has 7 large branches.
Each large branch has 7 small branches.
On each small branch - 3 apples.
How many apples are there?
(None. Apples do not grow on birch trees)

The train travels at a speed of 70 km/h. In which direction will the smoke fly?
(The train has no smoke)

Can an ostrich call itself a bird?
(No, ostriches don't talk)

What dishes can not be eaten?
(From empty)

Where was the potato first discovered?
(In the ground)

Name five days, without calling them by numbers and by the names of the days of the week.
(The day before yesterday, yesterday, today, tomorrow, the day after tomorrow)

Without which nothing ever happens?
(Untitled)

What is always said in the future tense?
(About tomorrow)

How can you bow your head without lowering it down?
(by cases)

What does a father always give to his children and what a mother can never give them?
(Surname)

The more you take from it, the more it becomes.
(Pit)

Difficult logic riddles with a trick with answers

To guess which answer is correct, you need to be able to look at the familiar from an unusual angle. And this good exercise and testing for the ability to expand the boundaries of thinking.

When you see everything, you don't see it. And when you don't see anything, you see it.
(Darkness)

One brother eats and starves, and the other goes and disappears.
(Fire and smoke)

I am water and I swim on water. Who am I?
(floe)

What can not be held for ten minutes, although it is lighter than a feather?
(Breath)

There are roads - you can’t go, there is land - you can’t plow, there are meadows - you can’t mow, there is no water in rivers, seas. What is this?
(Geographic map)

What can't a magnifying glass magnify in a triangle?
(corners)

From birth, all dumb and crooked.
Get in line - talk!
(Letters)

It is light and heavy, but weighs nothing.
It happens fast and slow, but does not walk, does not run, does not fly.
What is this?
(Music)

Lies on the back - no one needs.
Lean against the wall - it will come in handy.
(Ladder)

The more of them, the less weight. What is this?
(holes)

How to put 2 liters of milk in a liter jar?
(turn it into curd)

The same person always came to the football match. Before the start of the game, he guessed the score. How did he do it?
(Before the start of the game, the score is always 0:0)

To start using it, you need to break it.
(Egg. It is used for cooking)

She can age in just a couple of hours. She benefits people while killing herself. Wind and water can save her from death. What it is?
(Candle)

Difficult and big riddles on logic with a trick

These riddles are like whole stories, but the answers to them are quite simple and logical, you just have to catch their essence.

One woman lived in a twelve-room apartment. She had a clock in every room. One Saturday evening at the end of October, she set all her clocks to winter time and went to bed. When she woke up the next morning, she found that only two dials showed the correct time. Explain.

(Ten of the twelve clocks were electronic. There was a power surge during the night and the clock was off. And only two clocks were mechanical, so they showed the correct time the next morning)

There are two cities in a certain country. In one of them live only people who always tell the truth, in the other - only those who always lie. They all visit each other, that is, in any of these two cities you can meet both an honest person and a liar.
Suppose you are in one of these cities. How, by asking a single question to the first person you meet, determine which city you are in - the city of honest people or the city of liars?

(“Are you in your city?” The answer “yes” will always mean that you are in the city of honest people, no matter who you get)

According to some information received by the police of the city of San Francisco, it could be concluded that the theft of the jewelry of the wife of a millionaire, Mrs. Anderson, was being prepared. Mrs. Anderson lived in one of the first-class hotels. Apparently, the criminal who planned the crime also lived here. A detective was on duty in Mrs. Anderson's room for several days, hoping to catch the scoundrel, but to no avail. Mrs. Anderson had already begun to play a trick on him, when suddenly the following happened. In the evening, someone knocked on the door of the room. Then the door opened and a man peered into the room. Seeing Mrs. Anderson, he apologized, saying that he had taken the wrong door.

“I was absolutely certain that this was my room,” he said, embarrassed. “After all, all the doors are so similar to one another.

Then the detective stepped out of the ambush and arrested the stranger. What could convince the detective that he was facing an intruder?

(The man knocked. So he was not going to his room)

The traveler did not sleep for a whole day. Finally he got to the hotel and took a room.

“Be so kind as to wake me up at seven sharp,” he asked the porter.

"Don't worry," the porter reassured him. - I will certainly wake you up, just do not forget to call me, and I will immediately come and knock on your door.

“I would be very grateful to you,” the traveler thanked him. “You'll get twice as much in the morning,” he added, handing the porter a tip.

Find the mistake in this story.

(To call the porter, the traveler will have to wake up first)

A skyscraper with 230 floors was built in Murom. The higher the floor, the more residents. At the very top (230th floor) there are 230 people. Only one lives on the ground floor. Name the most pressed elevator button.

(First floor button)

Eight twin brothers escaped to a country house for the weekend, and each found something to his liking. The first one is busy picking apples, the second one goes fishing, the third one heats the sauna, the fourth one plays chess, the fifth one cooks dinner, the sixth one watches series about cops on a laptop all day, the seventh one discovers the artist in himself and paints the surrounding landscapes. What is the eighth brother doing at this time?

(Plays chess with the fourth brother)

There was a literary worker in France who couldn't stand the Eiffel Tower, especially how awful it looked. At the same time, when hungry, he always visited a catering company located on the first floor of this architectural symbol of Paris. How is this behavior explained?

(Only in this restaurant, looking out the window, he did not see the Eiffel Tower)

The very famous English writer Bernard Shaw once visited a restaurant with his colleague. They talked to each other and did not want anyone to disturb them. Here the conductor of the orchestra comes up to Shaw and asks him: “What to play in your honor?”

The show didn't want any music, of course, and responded very witty, he said: "I would be very grateful to you if you would play..."

What do you think, what did Bernard Shaw offer to play the conductor of the orchestra?

(He invited the conductor to play a game of chess)

Tricky riddles with a trick and answers

Listen carefully or read the tricky riddles yourself. Indeed, in some of them the answers lie right on the surface.

Hanging pear - you can not eat. Not a light bulb.
(It's someone else's pear)

What is a Diet Egg?
(This is an egg laid by a dieting hen)

Imagine that you are sailing on the sea in a boat. Suddenly the boat begins to sink, you find yourself in the water, sharks swim up to you. What to do to escape sharks?
(Stop imagining it)

Olga Nikolaevna's dream finally came true: she bought herself a new bright red car. The next day, going to work, Olga Nikolaevna, moving on the left side of the road, turned left at a red light, ignoring the sign "No Turn" and, to top it all, she did not fasten her seat belt.

All this was seen by the sentry standing at the crossroads, but he did not even stop Olga Nikolaevna to at least check her driver's license. Why?

(Because she went to work on foot)

A crow sits on a bough. What should be done to saw off the bough without disturbing the crow?
(Wait for her to leave)

When the ram is eight years old, what will happen?
(The ninth will go)

A wild boar climbed a pine tree with four paws and descended with three. How can this be?
(Boars can't climb trees)

A child was born in a Negro family in the Congo: all white, even the teeth were snow-white. What's wrong here?
(Children are born without teeth)

You are sitting in an airplane, a horse is in front of you, a car is behind you. Where are you at?
(On the carousel)

Given a four-letter word, it can also be written with three letters.
It can usually be written with six letters and then with five letters.
Spawning contained eight letters, and occasionally consists of seven letters.
(“Given”, “it”, “usually”, “then”, “spawning”, “occasionally”)

The hunter walked past the clock tower. He took out a gun and fired. Where did he get to?
(To the police)

Which hand should you stir the tea with?
(Tea should be stirred with a spoon, not by hand)

What does a watchman do when a sparrow sits on his head?
(asleep)

What is the fear of Santa Claus called?
(Claustrophobia)

What is not in a women's handbag?
(order)

New Year's Eve dinner is being prepared. The hostess prepares food. What does she throw into the pot before putting food in?
(Sight)

3 turtles are crawling.
The first turtle says: "Two turtles are crawling behind me."
The second tortoise says: “One tortoise is crawling behind me and one tortoise is crawling in front of me.”
And the third turtle: “Two turtles are crawling in front of me and one turtle is crawling behind me.”
How can this be?
(Turtles crawl in circles)

Math riddles with a trick and with answers

And this section contains riddles for those who love and respect mathematics. Be careful!

How right? Five plus seven is "eleven" or "eleven"?
(Twelve)

There were 3 rabbits in the cage. Three girls asked for one rabbit each. Each girl was given a rabbit. And yet there was only one rabbit left in the cage. How did it happen?
(One girl was given a rabbit along with a cage)

Alice wrote the number 86 on a piece of paper and asked her friend Irishka: “Can you increase this number by 12 and show me the answer without crossing out or adding anything?” Iris did it. Can you?
(Turn the paper over and see 98)

There are 70 sheets of paper on the table. For every 10 seconds, 10 sheets can be counted.
How many seconds does it take to count 50 sheets?
(20 seconds: 70 - 10 - 10 = 50)

A man bought apples for 5 rubles apiece, but sold them for 3 rubles apiece. After some time, he became a millionaire. How did he do it?
(He was a billionaire)

The professor decided to treat his friends to his signature vegetable salad. For this, he needed 3 peppers and the same number of tomatoes; fewer cucumbers than tomatoes, but more than radishes.
How many different vegetables did the professor use in the salad?
(9)

There were 12 chickens, 3 rabbits, 5 puppies, 2 cats, 1 rooster and 2 hens in the room.
The owner came in with his dog. How many legs are in the room?
(Two legs of the owner - animals have paws)

The geese went to the watering hole in single file (one after the other). One goose looked ahead - there are 17 goals in front of him. He looked back - he had 42 paws behind him. How many geese went to the watering hole?
(39: 17 in front, 21 behind, plus the goose that turned its head)

Experienced players Kolya and Seryozha played chess, but in five games played, each of them blew exactly five times. How did it happen?
(Kolya and Seryozha played with a third person. Another option is to draw 5 times)

Do not write anything or use a calculator. Take 1000. Add 40. Add another thousand. Add 30. Another 1000. Plus 20. Plus 1000. And plus 10. What happened?
(5000? Incorrect. The correct answer is 4100. Try to count on a calculator)

How to divide the number l88 in half so as to get one?
(In order to get one from the number l88, you need to write this number on paper, then draw a straight line exactly in the middle of this number, so that it divides the number into upper and lower parts. You get a fraction: 100 / 100. When divided, this fraction gives one)

A wealthy merchant, dying, left his sons a herd of 17 cows as an inheritance. In total, the merchant had 3 sons. In the will it is specified to distribute the inheritance as follows: the eldest son receives half of the entire herd, the middle son must receive a third of all the cows from the herd, the youngest son must receive a ninth of the herd. How can the brothers divide the flock among themselves according to the terms of the will?
(Very simple, you need to take another cow from relatives, then the eldest son will receive nine cows, the middle son six and the youngest two cows. So - 9 + 6 + 2 = 17. The remaining cow must be returned to relatives)

Simple and complex logic riddles with a trick will cheer you up and help you have fun in any adult company.

What should you do when you see a green man?
(Cross the street)

Not ice, but melting, not a boat, but sailing away.
(Salary)

How many programmers does it take to screw in a light bulb?
(One)

These three TV stars have been on the screen for a long time. One is called Stepan, the second is Philip. What is the name of the third?
(Piggy)

What is the difference between a priest and a Volga?
(Pop is a father, and Volga is a mother)

Why did Lenin walk in boots, and Stalin in boots?
(On the ground)

He may not have children, but he is still a dad. How is this possible?
(This is the Pope)

What is the difference between a women's hostel and a male hostel?
(In the women's dormitory, the dishes are washed after meals, and in the men's dormitory, before)

Before calling a woman a bunny, what should a man check?
(Make sure he has enough "kale")

Husband going to work
“Honey, brush my jacket.
Wife:
- I've already cleaned it.
- What about trousers?
- Cleaned up too.
- What about boots?
What did the wife say?
(Do boots have pockets?)

What should you do if you get into the car and your feet don't reach the pedals?
(Change to the driver's seat)

Of course, parents do not always want to bother their precious child and come up with the most difficult riddles for him. Nevertheless, such questions, which require reflection, are useful and necessary for children and adults, regardless of age.

Why ask a child difficult riddles

Moms and dads may wonder whether it is worth misleading a child and including difficult tasks in the program. However, having studied the information on how productive the most difficult riddles are for children different ages, parents will immediately change their minds. Logic and trick puzzles are needed for the following reasons:

These are just some of the factors that indicate that children definitely need difficult questions that need to be answered. This will help you develop fully and be literate.

What should be the riddles

It is clear that complex riddles are somewhat different from simple logical questions. It is necessary to think over the program of a developmental lesson with such tasks in advance so that the process goes smoothly and without a hitch. The hardest riddles should be:

  • With a trick.
  • Are ambiguous.
  • The kind that deserves a lot of thought.
  • Difficult riddles should be selected according to the age of the child. This will help boys and girls find answers according to their level of knowledge. It follows that kids should not make very difficult riddles; for the smallest, it is better to choose questions with a trick. For older children, you can choose questions such as for adults.

It is worth considering the above factors when choosing logical questions for your child.

Logic puzzles for the little ones

For children up to school age you can take into account the following riddles:

Three apples grew on a birch, and five pears grew on a poplar, how many fruits are on these trees?

(Not a single one, fruits do not grow on birch and poplar)

How can you find a black cat in a dark room?

(To turn on the light)

What will a red handkerchief with white embroidery look like if it is lowered into the Black Sea?

What can't you eat for lunch?

(Breakfast and dinner)

What will happen in next year with a dog that is five years old?

(She will be six years old)

Whose hair doesn't get wet in the pouring rain?

(bald man)

How to say more correctly: I don’t see a white yolk or I don’t see a white yolk?

(No way, the yolk is not white)

A duck standing on one leg weighs three kilograms, how much the same duck would weigh if it stood on two legs.

(3 kilograms)

Two eggs boil for 4 minutes, how long will ten eggs boil?

(4 minutes)

A cat is resting near the bench. And the tail, and the eyes, and the mustache - everything is like a cat's, but it's not a cat. Who is resting near the bench?

Guess what disappears if you eat a bagel?

How can you light a match when you are underwater?

(You can if you are in a submarine)

30 candles were lit in the hall. Having entered the room, a man extinguished 15 of them. How many candles are left in the hall?

(30 candles left, extinguished candles are still in the room)

The house has an uneven roof. One side is lowered more, the other less. The rooster sat on the top of the roof and laid an egg, in which direction will it roll?

(Will not roll anywhere, the rooster does not lay eggs)

What tree does a fox hide under when it rains?

(under wet)

Which fields do not grow a single plant?

(On the brim of the hat)

Such complex logic puzzles for the little ones will cause a whirlpool of emotions and interest. The most important thing is to give the child hints, thanks to which he will be able to find the correct answer.

Difficult riddles with a trick for schoolchildren

School-age children can pick up questions even harder. Very complex ones can be:

You are in a running race. When you overtook the one who ran last, what did you become?

(This cannot be, because the last runner cannot be overtaken, because he is the last one and there cannot be someone else behind him)

Three car owners had a brother Alyosha. But Alyosha did not have a single brother, how is this possible?

(Perhaps if Alyosha had sisters)

What will you become in a row if you overtook the second runner in line?

(Many will answer first, but this is wrong, because having overtaken the second runner, a person will become the second)

Such complex riddles with a trick will certainly appeal to schoolchildren. After thinking about the answer, it will be easy to voice it.

Adult riddles with a trick

Sometimes adults are like children. Therefore, they will also like very complex riddles. For people older than school age, you can ask the following logical questions:

There is a tram with five passengers. At the first stop, two passengers got off and four got on. No one got off at the next stop, ten passengers got on. At another station, five passengers entered, one got off. On the next - seven people left, eight people entered. When there was another stop, five people got off and no one came in. How many stops did the tram have?

(The answer in this riddle is not so important. The bottom line is that all participants will most likely count the number of passengers and hardly anyone will decide to count the stops)

The doorbell is ringing. You know that your relatives are behind it. Champagne, cold water and juice are in your fridge. What will you open first?

(The door, because guests must first be let into the apartment)

A healthy person who does not get sick, does not have a disability, and who has everything in order with his legs, is taken out of the hospital in his arms. Who is this?

(Newborn baby)

You entered the room. It contains five cats, four dogs, three parrots, two guinea pigs and a giraffe. How many legs are on the floor in the room?

(There are two legs on the floor. Animals have paws, only humans have legs)

Three prisoners unknowingly planned to escape from the prison. The prison was surrounded by a river. As the first prisoner was escaping, a shark attacked him and ate him. So the first of those who escaped died. When the second prisoner was attempting a disaster, sentries noticed him and dragged him by the hair into the prison area, where he was shot. The third prisoner escaped normally and was never seen again. What's wrong with this story?

(There are no sharks in the river, the prisoner could not be dragged by the hair, because they shave their heads)

Such riddles will appeal to adult participants in the event.

How to motivate a child to participate in a developmental activity

It is clear that children definitely need motivation in order for participation in the game to be exciting and desirable. It is enough just to promise the baby some kind of present and, of course, hand it over at the end of the game.

Logical tasks can be attributed to a kind of gymnastics for the mind. The solution of such problems develops logical and non-standard thinking, ingenuity, memory, which are necessary for every person. Logic tasks are different. For example, mathematical, tricky, ingenious, in the form of puzzles.

____________________________

Logic tasks

Task 1: Imagine that a golfer has hit the ball. After hitting the ball rolled, rolled across the field and eventually rolled not into the hole, but into a steel pipe dug vertically deep (several meters) into the ground. The ball ended up at the very bottom of the pipe (several meters from the ground).

Can you please tell me how a golfer can get his ball out without much effort without having to dig out such a long pipe?

Task 2: Try to understand by what rule the following numerical sequence is formed:

1
11
21
1211
111221
312211
13112221
1113213211

Task 3: Continue with the following sequence of letters:

S O N D Y F M …

Task 4: Alexander has his own pet shop selling birds. If he places one bird in each cage, then one bird is not enough for the cage. If Alexander places two birds in each cage, then one cage will remain free. How many cages and birds do you think are in Alexander's pet store?

Task 5: Imagine that you have a large barrel of kvass. In addition, you have two empty bottles of 3 and 5 liters. How to use these bottles to measure exactly one liter of kvass?

Task 6: Alexander weighs half as much as Dmitry, and Nikolai weighs 3 times more than Alexander. Try to determine how much each of them weighs if together they weigh 360 kilograms?

Task 7: Below is the sequence of letters. There is no rule for the order in which this sequence is built. However, two letters are missing for completeness, what are these two letters?

I S F A M O N D I

Answer to problem 1: The golfer needs to pour water into the pipe to the brim, then the ball itself will float to the surface.

Answer to problem 2: Each next number describes one previous one. For example: the number in the second line "11" says that there is one unit in the previous line (1(one)1(unit)); the number in the third line "21" says that there are two ones in the previous line or 2(two)1(ones); the number in the fourth line "1211" says that in the previous line there is one two and one one or 1 (one) 2 (two) 1 (one) 1 (one). And so on.

Answer to problem 3: The letter a". Here the sequence of the first letters in the names of the months of the year is used, starting from September: September, October, November, December, January, February, March. Therefore, the next letter will be "A" - April.

Answer to problem 4: Alexander has four birds and three cages in the pet shop.

Answer to problem 5: First, we fill a 3-liter bottle with kvass from a barrel, then pour all 3 liters from a 3-liter bottle into a 5-liter bottle. Then again from the barrel we pour the kvass in addition to the 3-liter bottle. Then pour kvass from it into a five-liter bottle until it is full. And as a result, exactly 1 liter of kvass will remain in a 3-liter bottle.

Answer to problem 6: Nikolay = 180kg, Dmitry = 120kg, Alexander = 60kg. Solution: let Alexander's weight = x (x), then Dmitry's weight = 2x, and Nikolai's weight = 3x. Therefore, we get the equation: (x + 2x + 3x) = 360kg. Equivalently: 6x \u003d 360 kg, from where x \u003d (360 kg: 6) \u003d 60 kg. After that, the weight of each of them is easily calculated.

Answer to problem 7: Letters "M" and "A". The group of letters consists of the first letters of the names of the months of the year. All of them are located randomly, but two more letters are missing for completeness (after all, there should be 12 of them).

Trick puzzles

Task 1: If Jack does not drink at work, then for some reason all his employees begin to think that he is a bad worker and a slacker. Why do you think?

Task 2: Three friends went to play billiards together. They stayed there for 2 hours, after which they were billed 15 dollars. Friends chipped in for 5 dollars, paid 15 dollars to the cashier and went home. But the head of the billiard room was their friend, and when he found out that his friends had been billed, he told the cashier to catch up with them and return them $ 5 (for friendship). The cashier decided to give his friends only 3 dollars, and take 2 for himself. He did just that. As a result, each of the friends paid $4, for a total of $12. Plus, the cashier kept 2 dollars. The total is 12 + 2 = $14. Where do you think the other dollar went?

Task 3: Sveta has pets: cats and dogs. Of all her animals, only one is not a dog, while all of her pets, except for one, are cats. How many cats and dogs do you think Sveta has?

Task 4: Imagine that you have an empty fruit basket. Nearby is a basket twice as large in volume, which is completely filled to the brim with apples. There are 240 apples in a large basket. How many apples do you think you can put in an empty basket?

Task 5: The person lives on the 17th floor. He takes the elevator to his floor only in rainy weather or when one of his neighbors is in the elevator with him. If the weather is good and he is alone in the elevator, then he goes to the 9th floor, and then he goes up the stairs to the 17th floor ... Why?

Task 6: An inspector inspecting a certain school noticed that whenever he asked a class a question, all the students raised their hands in response. Moreover, although school teacher chose a different student each time, the answer was always correct. How did it work out?

Task 7: Returning home from fishing, the fisherman met his friend, who inquired about his catch. But, since our fisherman, in addition to fishing, was also a great lover of all kinds of riddles, he answered his friend as follows: “If I add half the catch and another ten fish to the number of fish I caught, then my catch would be exactly a hundred fish.” How many fish did the angler catch?

Answer to problem 1: Jack works as an alcohol taster.

Answer to problem 2: As the calculations are indicated at the end of the puzzle condition, it is, of course, impossible to count in this way. So, friends paid 12 dollars, of which 10 dollars went to the cashier, and 2 dollars remained with the cunning cashier. As a result, there is no missing dollar. Here is the answer to this missing dollar puzzle.

Answer to problem 3: Sveta has only one dog and only one cat.

Answer to problem 4: Only one apple, because after one apple is placed, the basket will no longer be empty.

Answer to problem 5: This person is a midget, and only reaches the button on the 17th floor with an umbrella or asks someone to press this button.

Answer to problem 6: The teacher had previously agreed with the students that they would volunteer to answer, regardless of whether they know the answer or not. But those who know the answer should raise their right hand, and those who do not know should raise their left. The teacher each time chose a different student, but always the one who raised his right hand.

Answer to problem 7: Let's solve the problem from its end. If we subtract the extra 10 fish, 90 fish remain. The number 90 contains three equal parts, of which two are the actual catch, and the third is an additional half of the actual catch. Therefore, this additional half of the catch is 90:3=30 fish, and the catch itself is 30x2=60 fish.

Tasks for ingenuity

Task 1: What is unusual about the sentence "The quick brown fox jumps over the lazy dog"? (Translation: A quick brown fox jumped over a lazy dog).

Task 2: One gentleman, showing his friend a portrait painted for him by one artist, said: "I have neither sisters nor brothers, but the father of this man was my father's son." Who was in the portrait?

Task 3: The pilot jumped out of the plane without a parachute. How was he able to remain unharmed after landing on hard ground?

Task 4: The military camp has a square shape at the base. It was required to place 16 sentries in the same number along each of the four sides. First, the sergeant posted sentries, 5 people on each side. Then the captain came and re-arranged the same 16 sentries, 6 people on each of the 4 sides. Then the colonel came and rearranged the same 16 sentries, 7 people from each of the 4 sides. How did the sergeant, captain and colonel place sentries along the walls of the military camp?

Task 5: Three couples (three husbands and three wives) are standing on one side of the river and want to swim to the other side in a boat that can accommodate only two. Moreover, none of the wives wants to stay with other husbands without the presence of her husband. How can all thermal couples get to the other side using a two-seater boat?

Task 6: The beetle crawls up the tree, while during the day in the morning, afternoon and evening it crawls to a height of 5 meters, and descends 2 meters at night. Question: on what day and hour will the beetle crawl to a height of 9 meters if it began to crawl up a tree on Sunday at 6 o'clock in the morning?

Task 7: People who came to one village were often surprised by the local fool. When given the choice between a shiny 50-cent piece and a crumpled five-dollar bill, he always chose the coin, even though it was worth ten times less than the bill. Why did he never choose the bill?

Answer to problem 1:"The quick brown fox jumps over the lazy dog" - this sentence contains all the letters of the English alphabet.

Answer to problem 2: The portrait shows the son of this gentleman.

Answer to problem 3: The plane was on the runway.

Answer to problem 4: The sergeant placed sentries like this: one in the corners and three in the middle of each of the 4 sides, you get 5 on each side of the camp. The captain placed sentries like this: two in the corners and two in the middle of each of the 4 sides, you get 6 on each side of the camp. The colonel placed sentries like this: three in the corners and one in the middle of each of the 4 sides, it will turn out 7 on each side of the camp.

Answer to problem 5: To begin with, we will denote the husbands by the letters A, B, C, and the wives will be denoted by the letters a, b, c. Then the following actions follow in order: 1) first, “a” and “b” swim to the second shore, 2) then “a” returns and takes “c” to the other shore, 3) “c” returns and remains with “C”, and “A” and “B” swim to the other shore, 4) “B” and “b” return to the first shore, “b” remains, and “B” and “C” swim to the second shore (as a result, all the husbands ended up on the second shore), 5) then "a" takes "b", 6) and finally "C" takes "c".

Answer to problem 6: Very often they argue like this: a beetle crawls to a height of 3 meters (5m - 2m) in 24 hours. Therefore, he will climb to a height of 9 meters in 3 days, i.e. by 6 am on Wednesday. But a more correct answer is different: at the end of the second day (Tuesday at 6 am), the beetle will be at a height of 6 meters, and on the same day it can still crawl 5 meters, which exceeds the required level of 9 meters. It is not difficult to calculate that the beetle will reach 9 meters already on Tuesday at 13:12.

Answer to problem 7: The “fool” was not so stupid: he understood that as long as he chose the 50-cent coin, people would offer him money to choose from, and if he chose the five-dollar bill, the offers of money would stop and he would receive nothing.

Math problems

Task 1: In the 19th century, a teacher asked his students to calculate the sum of all integers from one to one hundred. There were no computers and calculators then, and the students began to conscientiously add up the numbers. And only one student found the correct answer in just a few seconds. It turned out to be Carl Friedrich Gauss, the future great mathematician. How did he do it?

Task 2: There are nine coins on the table. One of them is fake. How can you find a counterfeit coin with two weighings? (A fake coin is lighter than a real one.)

Task 3: One fisherman bought himself a new 5 foot rod. He has to get home by public transport, in which the rules prohibit the transport of objects longer than 4 feet. How to pack a fishing rod to travel to public transport without breaking the rules?

Task 4: There are 9 kg of cereals and a pan scale with weights of 50 g and 200 g. Try to weigh 2 kg of this cereal in three steps.

Task 5: In one city, a new district of 100 houses was built. The sign makers have made and brought a pack of new signs with house numbers from 1 to 100. Count the number of all 9s found in these signs (numbers 9 and 6 are different numbers).

Task 6: When the book was published, it took 2,775 digits to number its pages. How many pages are in the book?

Task 7: To get paint orange color need to mix paints yellow color(6 parts) and red (2 parts). How many grams of orange paint can be obtained (maximum) with 3 grams of yellow and 3 grams of red paint?

Answer to problem 1: The future mathematician identified 49 pairs of numbers: 99 and 1, 98 and 2, 97 and 3 ... 51 and 49. In total, each pair of numbers was one hundred, and there were two unpaired numbers 50 and 100. Therefore, 49x100 + 50 + 100 = 5050.

Answer to problem 2: First weighing: put three coins on each scale pan. If the scales are balanced, then two of the three remaining coins are taken for the second weighing. If a counterfeit coin is on the scales, then it is clear which scale pan it is on. If the scales are balanced, then the remaining unweighed coin is counterfeit. If at the first weighing one of the cups outweighs the other, then the counterfeit coin is among the coins, the weight of which is less. Then by the second weighing, we determine which of the coins is counterfeit.

Answer to problem 3: The rod must be packed in a box 4 feet long and 3 feet wide (placed diagonally on the box).

Answer to problem 4: It is necessary to hang the cereal into two equal parts of 4.5 kg each; then hang one of these parts in half again, that is, 2.25 kg each, and subtract 250 g from one of these parts using the two available weights. Thus, you will get a weight of 2 kg.

Answer to problem 5: The correct answer is 20 nines.

Answer to problem 6: The first 9 pages require 9 digits. From the 10th to the 99th page (90 pages) 90x2=180 digits are required. From the 100th to the 999th page (900 pages), 900x3 = 2700 digits are required (300 digits for every hundred pages with three-digit numbering). Therefore, 2700+180+9=2889 digits are needed for 999 pages. We went through (2889-2775)/3=38 pages. Total: 999-38=961 pages were in the book.

Answer to problem 7: It can be seen from the condition of the problem that yellow paint is required 3 times more than red. Therefore, having 3 grams of yellow paint available, you need to take 1 gram of red paint. That is, when mixed, orange paint will turn out 4 grams.

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