Entertaining logic for preschoolers. Logical and entertaining problems (300 problems)

An attentive mother devotes a lot of time to teaching her baby. Developing logic does not require much effort - 20 minutes of daily practice is enough. Today there is no need to purchase expensive teaching aids - a variety of logic problems for children are freely available on the Internet. We will talk about the stages of development of logical thinking in a child and give examples of tasks.

Concept of logical thinking

Logical thinking is a physiological process as a result of which a person comes to conclusions based on evidence and prudence.

There are three types of logical judgments.

Abstract judgment. A person builds conjectures on concepts and properties that cannot be felt. They are not valid, they are in the abstraction.
Figurative judgment. A person uses his imagination and imagines specific images that occur in life.
Verbal judgment. People often share their opinions with others. During the conversation, mental analysis occurs, leading to specific conclusions.

Logical thinking begins to develop at an early age. The stages of formation of thinking in the process of child growth will be discussed further.

Age characteristics

The stages of formation of human thinking have long been no mystery to modern science. As the baby grows, changes occur in the nervous system, speech and consciousness improve. For harmonious development, the help of parents is necessary.

You need to start playing educational games with your baby from the second year of life. In this case, it is important to take into account the age characteristics and the degree of readiness of the child to solve logical problems.

Features of the mental activity of preschoolers include:

comparison of objects according to their qualitative and quantitative characteristics;
predominant visual perception of objects;
the ability to correlate the properties and characteristics of objects;
having a general idea of common words.

In accordance with age, the child is characterized by the following types of mental activity.

Age	Types of thinking
2 - 3 years	Children develop visual and effective thinking. The baby is able to visually perceive what is happening. This period is suitable for the first lessons in teaching logical thinking. The child acts spontaneously, thoughtlessly, and learns from his mistakes. For example, to open a door, he will explore it for a long time and knock on it. The door can only open randomly. At two years old, the child tries to master the process of comparison, which is based on opposition. The main categories of comparison are color, size, temperature characteristics, shape, age. Age-appropriate tasks: grouping objects by property (large - small), drawing a real object (for example, a house).
34 years	The priority is imaginative thinking. The child begins to think through his actions. To open a door, he remembers the types of doors and how to open them. He will try to find the doorknob. The toddler learns generalization by dividing objects into groups. Age-appropriate tasks: find an object by description, guess a profession or an animal.
5 -7 years	Logical thinking prevails. Children's curiosity reaches its peak. This is a time of endless questions to adults and a thirst for new knowledge. There are three types of questions: · request for help; · knowledge of the world; · emotional support. The child is already able to draw an object and describe it. Unlike the previous level, it can highlight the characteristics of an object that it needs in this case. Logical thinking is manifested in the ability to draw conclusions and reason. The baby is trying to grasp the relationship between different objects. He actively replenishes his own experience. By the age of 5, an expanded classification appears: the child is able to answer the questions “what is this?” and which?". The classification parameter is chosen randomly. Age-appropriate tasks: answer a question about the world around you, describe an object using a model, describe your day.

Examples of logic exercises

The beginning of teaching logical thinking to a toddler will be modeling and drawing. Communication with the child outside of classical classes plays an important role: at home or during a walk. Sometimes we ourselves do not notice how often we explain the actions of others, natural phenomena, describe objects and their purpose. Such improvised lessons serve as the basis for the development of logic in children.

At the age of 3-4 years, pay attention to board games. Be careful when selecting exercises. The basic principles of the development of logic at this age are diversity, semantic content and a playful form of activity.

The following tasks have gained the greatest popularity among children.

Tasks for matching pictures of the same kind. For example, “Find a pair.”
Making a word from a group of letters. For example, "Finest Hour".
Game "Find the three differences."
Find an extra item that differs from others in properties. For example, "The Third Wheel".
Cut a geometric figure known to the child into large fragments and ask them to assemble this puzzle.
Game "Guess the riddle."
Game "Edible-Inedible".

For children aged 5-7 years, solving logic problems for preschoolers will seem interesting. Here are some examples of tasks with answers.

A bell was tied to the dog's tail. How should she move so as not to hear its ringing?

(No way).

Sharik was given a collar and a leash 10 meters long, but Sharik walked 200 meters in it. How did he do it?

(He walked with the owner).

Masha and Lisa wanted to draw. One of them drew with a pencil, the other with crayons. Masha didn’t want to draw with crayons. What did Lisa draw with?

(With crayons).

Two boys were eating apples. Vita got one that was unripe and yellow, Kolya got one that was yellow and sweet. What did the guys' apples have in common?

(Yellow).

A horse, a cow and a goat lived in three different houses. The horse lived neither in blue nor in red. The goat lived neither in blue nor in green. What color houses did the animals live in?

(The horse lived in green, the goat lived in red, the cow lived in blue).

Nastya, Tanya and Olya are friends. Nastya is taller than Tanya, Tanya is taller than Olya. Which of your friends is the tallest? Which of your friends is the shortest? (Nastya is taller than everyone, Olya is below everyone).
There is a pear on the table. It was cut into 4 parts. How many pears are on the table now?

(One).

There were 2 Christmas trees growing in a clearing in the forest. Each tree has 3 branches. There is 1 tangerine on each branch. How many tangerines grew on the Christmas trees?

(Tangerines do not grow on Christmas trees).

Yegor’s dad’s name is Nikolai Anatolyevich, and his grandfather’s name is Alexander Nikolaevich. What is Yegor's mother's middle name?

(Alexandrovna).

Solving non-standard logic problems in older preschool age is an easy way to develop logical thinking. Systematic classes will be a good help in preparing for mastering the school curriculum. Over time, you will increase the complexity of the game exercises, which will greatly increase your interest in performing them.

The development of logical thinking in preschoolers is an extremely important and labor-intensive process in which both parents and educators take part. The mental development of preschool children is an integral part of their mental development. The baby accumulates various knowledge, ideas about the world, develops cognitive skills, and masters speech. By the age of five, children are already able to operate with simple scientific knowledge and make inferences. The task of parents and educators, and simply elders who take part in the fate of the child, during this period is to create a system of elementary knowledge for preschoolers, which will reflect simple but necessary connections and dependencies in one or another type of activity.

One of the most effective methods for this are speech and logical tasks. Logical tasks for preschoolers are aimed at activating already acquired knowledge and developing the ability to make simple inferences. It is the active activities of preschoolers that ensure normal mental development in the future.

What it is?

Firstly, they can be phrases that represent a changed course of things. The child is asked to restore his familiar situation.
Secondly, tasks may require preschoolers to remember a known fact and draw an inference based on it.
Thirdly, logical tasks can be presented in the form of pictures, where you need to find the odd one out, find the differences, continue the image, etc. We will look at speech logic tasks.

Sample problems

Here are several examples of problems for preschoolers with answers. But before you give them to your children, try to decide for yourself. Sometimes such tasks are difficult even for elders.

— Svetochka loves to chat. In what month does she talk little?

— In February, since there are 28-29 days in February..

— What needs to be done to ensure that five men are in one boot?

- Everyone needs to take off one boot.

— How to find snow from last year?

— after celebrating the New Year, you need to go out into the yard.

- The person is sitting, but you cannot sit in his place, even if this person leaves. Where is he located?

- On your lap.

— What stones are not found in the sea?

— What is cooked, but cannot be eaten?

Lessons for school.

— The table had four corners. One corner was sawed off. How much is left?

- Five corners.

“If it's upside down, it'll be one-third larger.” What is this?

- Number six.

— What can be measured, but does not have width, length, height and depth?

— Time and temperature.

- What kind of comb is impossible to comb your hair with?

- cockerel.

-What kind of thing travels around the world, remaining in one corner?

— Stamp on the envelope.

— What can’t be put even in the biggest saucepan?

- The lid from this pan.

— What is easy to pick up from the ground, but cannot be thrown far?

— What is heavier: 1 kg of iron or 1 kg of fluff?

- The same, since they weigh a kilogram.

—What animals did Moses take into his ark?

—Moses did not take animals into the ark. Noah did it.

— We bought a gift for one boy for the New Year. He asked to remove the lid from the gift so that he could pet it. What kind of gift was it?

- Turtle.

— What insects are “tamed” by humans?

As you can see, these logic problems, intended for preschoolers, may seem difficult even for older ones, although their answers are extremely simple.

How can small children guess? - you ask, adults.

But for preschoolers, such tasks are not difficult, since they are not captive to the prejudices and ingrained ideas formed by their elders. Children look at the world as something new, unknown, so their answers are sometimes surprising and sometimes surprising. Of course, logical problems for preschoolers related to specific knowledge cannot be solved if they do not have this knowledge. For example, a task where it is necessary to list the animals in Moses’ ark cannot be solved without knowledge of biblical stories. Thus, logical tasks also require developed erudition, which is not always sufficiently developed in modern preschoolers. Tasks are a good sign for elders to pay attention to gaps in the knowledge and ideas of preschoolers. Let's look at some more similar logical problems.

— One of the most famous mathematical problems, invented by the ancient Irish scientist Alcuin.

The peasant needs to transport three things by boat to the other side.

These are goat, cabbage and wolf. But the boat will only support the peasant himself and one of the named objects or animals.

How to transport cargo to the other side?

At the same time, you cannot leave a goat next to the cabbage, and a wolf next to the goat.

Solution

To correctly transport the cargo to the other side, you must first take the goat, then take the cabbage, transport it to the other side, and pick up the goat. Leave the goat and transport the wolf to the shore where the cabbage lies. Then transport the goat.

— In ancient times, women wore a special headdress called a kokoshnik. From the ancient name of which bird does this word come from?

- Chicken.

— Two men came to the river at the same time. However, a boat that can carry one to the other side will support one. And yet they swam simultaneously to the other side.

How?

— The men were moving from different banks.

— What language is spoken by the most people on the planet?

In Chinese.

“These people, coming from foreign places to their native land, brought palm branches with them. What were these people called?

Pilgrims.

— Among fruits, bananas are the most produced on the planet, with citrus fruits taking second place in production. What fruits rank third in terms of production?

- Apples.

— Who does the proverb “neither fish nor fowl” refer to?

- About crayfish.

— In the seventeenth century, Marco Aroni invented a new dish. Which?

- Pasta.

Scientists have observed that almost all female names in Rus' ended with the letters –a or –ya. What name does not end with these letters?

“Everyone knows the saying “you can’t take the trash out of the hut.” How was garbage disposed of in the old days?

They burned it.

- Only in one place did Russian men wear mittens and hats at any time of the year. What kind of place is it?

— The Greeks in ancient times made shoes from sandalwood. Which one?

Sandals.

— The Italian flag has three colors: red, green and black. What berry prompted the Italians to choose these particular colors?

Watermelon berry.

Materials for downloading on the topic

You can download all tasks in a common archive

Comic math problems for preschoolers

* There are 4 corners in the room. There was a cat in each corner, and opposite each cat there were 3 cats. How many cats were in the room? (4 cats)
* How to bring water in a sieve? (Water can be frozen, put a bag on the bottom...)
* 7 brothers were walking, each brother had one sister. How many people walked? (8 people)
* What kind of dishes can you not eat anything from? (Out of empty)
* The animal has 2 right legs, 2 left legs, 2 legs in front, 2 in back. How many legs does he have?
* How many nuts are there in an empty glass? (Not at all)
* A mason worked at a construction site. On the first day he built 2 twenty-story houses, on the second - 1 ten-story house. How many houses did he build in two days? (Not at all)
* 9 sharks swam in the sea. They saw a school of fish and dived into the depths. How many sharks were there? (9 sharks, only they dived)
* There were 3 tulips and 7 daffodils in the vase. How many tulips were in the vase? (There were 3 tulips in the vase)
* 7 boys cleared 1 path in the garden. How many paths did the boys clear? (7 tracks)
* What bird hatches from an egg, but does not lay eggs? (Rooster)
* There were 4 apples on the table. One of them was cut in half and placed on the table. How many apples are on the table? (4 apples)
* How can one bag of wheat fill 2 empty bags, the same as the bag containing the wheat? (You need to insert another into one bag)
* Grandma Dasha has a granddaughter Masha, a cat Fluff, and a dog Druzhok. How many grandchildren does grandma have?
*Think of a number up to 5. Add 2 to it, and I will guess what number you have in mind. How much did you get?
* There is a tub against the wall, and in that tub there is a frog. If there were 7 tubs, how many frogs would there be? (Probably none.)
* How to cut a square so that the resulting pieces can be folded into 2 new squares? (For 4 triangles along the diagonals)
* There are 3 pencils of different lengths on the table. How to remove the longest pencil from the middle without touching it? (Move one of those that is shorter)
* The first Ivan went to the market, the second Ivan came from the market. Which Ivan bought the goods, which one went without the goods?
* The miller came to the mill. In each corner he saw 3 bags, on each bag sat 3 cats, each cat had 3 kittens. How many legs were there in the mill? (Two legs, cats have paws.)
* Birds flew over the river: a pigeon, a pike, 2 tits, 2 swifts and 5 eels. How many birds? Answer quickly. (5 birds)
* 7 candles were burning. 2 candles were extinguished. How many candles are left? (2.)
* A flock of geese was flying. One goose in front, two behind. One goose between two and three geese nearby. How many geese are there in a flock? (3)
* Sister is 5 years older than brother. How many years older will she be than her brother in 7 years? (by 5)
* Two people went - they found 3 nails. Four will follow - how many nails will they find? (Most likely they won’t find anything.)
* A woman was walking and met three men. Each of them carried a bag, in each bag a cat. How many creatures were heading to Moscow? (Only the woman.)
* Why would a hairdresser in Geneva prefer to cut two Frenchmen's hair rather than one German's? (Because he will earn twice as much.)
* Why are street manhole covers made round rather than square?
* Imagine that you have a box of one match in your pocket. You entered a dark room at night, where there is a candle, a kerosene lamp and a gas stove. What will you light first? (Match)
* How many ends does a stick have? Two sticks? Two and a half? (6)
* A chicken standing on one leg weighs 2 kg. How much does a chicken weigh standing on two legs? (2 kg)
* Boil one egg for 4 minutes. How many minutes should you boil 6 eggs? (4 min)
* How many months of the year contain 30 days? (All months except February)
* A pair of horses ran 40 km. How many kilometers did each horse run? (40)
*Can it rain for 2 days in a row? (It can’t. The days are separated by night.)
* Two sons and two fathers went hunting. Killed three birds with one stone. Returning, each carried a hare. Could this happen? (Grandfather, father and son walked)
* One and a half fish cost one and a half rubles. How much do 5 fish cost? (5 rubles.)
* A brick weighs 1 kg and another half brick. How much do 5 bricks weigh? (10 kg.)
* The chariot has 10 spokes. How many spaces are there between the spokes? (Draw)
* The bookworm gnawed from the first sheet of the first volume to the last sheet of the second volume, standing to the right of the first. Each volume contains 600 pages. How many pages did he chew through? (Binders only.)
* The doctor prescribed 3 injections for the patient, one every half hour. How long will it take for all the injections to be given? (In 2 hours)
* There is an oak tree in the field. There are three branches on an oak tree, and on each branch there are three apples. How many apples are there in total? (Apples don't grow on oak trees)
* Where can a small ball hide in an empty room without being crushed by a large ball? (In the corner)
* Is there a May Day in Australia? (Eat)
* You are the pilot of a plane flying from Paris to Moscow with a landing in Kyiv. Flight time is 2 hours. How old is the pilot?
* The lighthouse will go out and then go out. How long has the lighthouse been burning? (It didn't burn)
* When the goat turns 6 years old, what will happen? (She will be seven years old)
* What color is the stopcock on the train and on the plane? (There is no stop valve on the plane)
* At two o'clock in the afternoon it was raining in Novgorod. Can there be sunny weather in Novgorod in ten hours? (No, it will be night)
* Chickens and dogs walk in the yard, all with 10 legs. How many chickens and how many dogs are there in the yard? (1 dog and 3 chickens, 2 dogs and 1 chicken)
* There were 10 chairs in the room on which 10 boys sat. 10 girls came in, and they all found a chair. How could this happen? (The boys stood up)
* Along the path, 10 trees grow one after another, between which there are benches. How many benches are there in total? (9)
* Four legs and four paws are visible from under the fence. How many living beings are behind the fence? (Possibly 2 people and 1 dog, 1 horse and 1 cat, come up with another answer)
* A father and two children were riding bicycles. There were 3 bicycles and 7 wheels. How could this be? (One bike had 3 wheels)
* Six legs, two heads, one tail. Who is this? (Rider on a horse)
* How many ears do three mice have?
* There were 5 ducks swimming on the lake, the hunter shot and killed one. How many ducks are left? (0)
* If you eat one plum, what remains? (Bone.)
Serious challenges

* Kolya sculpted 4 soldiers, and Slava - 1. How many soldiers did the guys sculpt in total?
* There were 6 porcini mushrooms and 3 boletus mushrooms in the basket. How many mushrooms were there in total?
* There were 6 mushrooms in the basket, 1 mushroom turned out to be inedible and was thrown away. How many mushrooms are left?
* 5 roses bloomed on the bush. Mom cut 3 pieces, how many are left?
* There were 3 roses in the vase. Mom cut 2 more. How many roses were in the vase?
* There were 5 red cups and 1 blue cup on the shelf. How many cups were there?
* There are 8 tomatoes ripe on the bush. Four tomatoes were picked. How much is left?

Math problems on “More/less"
* Tanya found 3 acorns, and Marina found 1 more than Tanya. How many acorns did Marina find?
* Kostya drew 4 planes, and his brother drew 2 more. How many did your brother draw?
* The boys decided to build a house. Dima brought 5 cubes, and Sasha brought 2 less. How much did Sasha bring?
* The gardener was trimming the bushes. On the first day he trimmed 6 bushes, and on the second - 1 bush less. How many haircuts did you cut on the second day?
* My brother is 9 years old, and my sister is 3 years younger. How old is she?
* There are 4 cups of cranberries in the jar, and 2 cups more in the plate. How much is in the plate?
* Sasha’s stripe is 9 cm long, Petya’s is 3 cm shorter. How long is Petya's stripe?
* The student made 7 flags, several of them green and 4 red. How many green flags did he make?

One of the most important skills of a child that determines his readiness to study the school curriculum is the ability to think logically. As a rule, it is the development of logic that most tasks are focused on when preparing your child for school in the future first-grader courses, and they need to be given special attention, especially if you are planning to educate your child in a gymnasium or lyceum.

What do developmental tasks for children include? First of all, these are copybooks. The copybooks are completely different, from the simplest, for children 3-5 years old, where you just need to draw a line or connect the dots, to the most complex - writing printed letters and numbers. We will not dwell on such copybooks in detail in this article; all the details are in the article COOPERATIONS FOR CHILDREN, where you can download and print these copybooks for free.

The tasks are focused on the development of thinking, creativity, mathematical concepts, speech, and ideas about the world around us. To download and print worksheets, click on the pictures, open them in full size and save or print.

Developmental tasks for children 3-4 years old

Developmental tasks for children 4-5 years old

Developmental tasks for children 5-6 years old

More educational tasks for children 3-7 years old: FUN LESSONS >>

While developing our thinking, we will not ignore theoretical tasks:

Developmental tasks for children by a psychologist

There are 6 ears sticking out from behind the hill. How many hares are there behind the hill? (3)
What is more in the river, fish or perch? (fish)
How many door handles are there in the house? (twice as many doors)
7 candles were burning. 2 were extinguished. How many candles are left? (2)
Katya, Galya and Olya painted heroes from the village of Prostokvashino: Pechkin, Sharik Matroskin. Who drew who, if Katya didn’t draw Pechkin and Sharik, and Galya didn’t draw Pechkin?
Worth a maple. There are two branches on the maple tree, on each branch there are two cherries. How many cherries grow on a maple tree?
If a goose stands on two legs, it weighs 4 kg. How much will a goose weigh if it stands on one leg?
Two sisters have one brother each. How many children are in the family?
A giraffe, a crocodile and a hippopotamus lived in different houses. The giraffe did not live in a red or blue house. The crocodile did not live in a red or orange house. Guess which houses the animals lived in?
Three fish swam in different aquariums. The red fish swam neither in a round nor in a rectangular aquarium. The goldfish is neither square nor round. In which aquarium did the green fish swim?
Once upon a time there were three girls: Tanya, Lena and Dasha. Tanya is taller than Lena, Lena is taller than Dasha. Which girl is the tallest and which is the shortest? What is the name of which one?
Misha has three carts of different colors: red, yellow and blue. Misha also has three toys: a tumbler, a pyramid and a spinning top. In the red cart he will not carry a spinning top or a pyramid. In yellow - not a spinning top or a tumbler. What will Mishka carry in each of the carts?
The mouse is not traveling in the first or last carriage. The chicken is not average and not in the last carriage. In which carriages are the mouse and the chicken traveling?
The dragonfly is not sitting on a flower or on a leaf. The grasshopper does not sit on a fungus or on a flower. The ladybug is not sitting on a leaf or on a fungus. Who is sitting on what? (it’s better to draw everything)
Alyosha, Sasha and Misha live on different floors. Alyosha lives neither on the top floor nor on the bottom. Sasha lives neither on the middle floor nor on the bottom. On what floor does each boy live?
Anya, Yulia and Ole’s mother bought fabrics for dresses. Anya is neither green nor red. Yule - neither green nor yellow. Ole is neither yellow nor red. Which fabric is for which girl?
Three plates contain different fruits. The bananas are not in a blue or an orange plate. Oranges are not in a blue or pink plate. What plate are the plums in? What about bananas and oranges?
A flower does not grow under a Christmas tree, a fungus does not grow under a birch tree. What grows under the Christmas tree and what under the birch tree?
Anton and Denis decided to play. One with cubes, and the other with cars. Anton didn't take the car. What did Anton and Denis play?
Vika and Katya decided to draw. One girl drew with paints, and the other with pencils. How did Katya start drawing if Vika didn’t draw with pencils?
The Red and Black clowns performed with a ball and a ball. The red clown did not perform with a ball, and the black clown did not perform with a ball. What objects did the Red and Black clowns perform with?
Lisa and Petya went into the forest to pick mushrooms and berries. Lisa didn't pick mushrooms. What did Petya collect?
Two cars were driving along a wide and a narrow road. The truck was not driving on a narrow road. What road was the car traveling on? What about the cargo one?
How many ears do three mice have?
How many paws do two cubs have?
Seven brothers have one sister. How many sisters are there in total?
Grandma Dasha has a granddaughter Masha, a cat Fluffy and a dog Druzhok. How many grandchildren does grandma have?
Birds flew over the river: a pigeon, a pike, 2 tits, 2 swifts and 5 eels. How many birds? Answer quickly!
7 candles were burning. 2 candles were extinguished. How many candles are left?
There are three apples in the basket. How to divide them between three children so that one apple remains in the basket?
There are three thick branches on the birch tree, and on each thick branch there are three thin branches. There is one apple on each thin branch. How many apples are there in total?
Sasha ate a large and sour apple. Olya ate a large and sweet apple. What is the same about these apples? miscellaneous?
Masha and Nina looked at the pictures. One girl looked at pictures in a magazine, and another girl looked at pictures in a book. Where did Nina look at the pictures if Masha didn’t look at the pictures in the magazine?
Tolya and Igor were drawing. One boy drew a house, and the other a branch with leaves. What did Tolya draw if Igor did not draw the house?
Alik, Borya and Vova lived in different houses. Two houses had three floors, one house had two floors. Alik and Borya lived in different houses, Borya and Vova also lived in different houses. Where did each boy live?
Kolya, Vanya and Seryozha were reading books. One boy read about travel, another about war, a third about sports. then what did you read about if Kolya didn’t read about war and sports, and Vanya didn’t read about sports?
Zina, Lisa and Larisa were embroidering. One girl embroidered leaves, another - birds, the third - flowers. Who embroidered what if Lisa didn’t embroider leaves and birds, and Zina didn’t embroider leaves?
The boys Slava, Dima, Petya and Zhenya were planting fruit trees. Some of them planted apple trees, some - pears, some - plums, some - cherries. What did each boy plant if Dima didn’t plant plum trees, apple trees and pears, Petya didn’t plant pears and apple trees, and Slava didn’t plant apple trees?
The girls Asya, Tanya, Ira and Larisa went in for sports. Some of them played volleyball, some swam, some ran, some played chess. What sports was each girl interested in if Asya didn’t play volleyball, chess or run, Ira didn’t run or play chess, and Tanya didn’t run?
Sasha is sadder than Tolik. Tolik is sadder than Alik. Who's the most fun?
Ira is more careful than Lisa. Lisa is more careful than Natasha. Who is the neatest?
Misha is stronger than Oleg. Misha is weaker than Vova. Who is the strongest?
Katya is older than Seryozha. Katya is younger than Tanya. Who is the youngest?
The fox is slower than the turtle. The fox is faster than the deer. Who's the fastest?
The hare is weaker than the dragonfly. The hare is stronger than the bear. Who is the weakest?
Sasha is 10 years younger than Igor. Igor is 2 years older than Lesha. Who is the youngest?
Ira is 3 cm shorter than Klava. Klava is 12 cm taller than Lyuba. Who is tallest?
Tolik is much lighter than Seryozha. Tolik is a little heavier than Valera. Who is the lightest?
Vera is a little darker than Luda. Vera is much brighter than Katya. Who is the brightest?
Lesha is weaker than Sasha. Andrey is stronger than Lesha. Who is stronger?
Natasha is more fun than Larisa. Nadya is sadder than Natasha. Who's the saddest?
Sveta is older than Ira and shorter than Marina. Sveta is younger than Marina and taller than Ira. Who is the youngest and who is the shortest?
Kostya is stronger than Edik and slower than Alik. Kostya is weaker than Alik and faster than Edik. Who is the strongest and who is the slowest?
Olya is darker than Tonya. Tonya is shorter than Asya. Asya is older than Olya. Olya is taller than Asya. Asya is lighter than Tonya. Tonya is younger than Olya. Who is the darkest, the shortest and the oldest?
Kolya is heavier than Petya. Petya is sadder than Pasha. Pasha is weaker than Kolya. Kolya is more fun than Pasha. Pasha is lighter than Petya. Petya is stronger than Kolya. Who is the lightest, who is the most fun, who is the strongest?
There were five apples on the pear tree, but only two on the tree. How many apples have grown?
What happens to a white handkerchief if it is dropped into the Red Sea?
How many nuts are there in an empty glass?
What kind of utensils make it impossible to eat anything?
The duck weighs two kilograms. How much will a duck weigh if it stands on one leg?
How many ends does one stick have? And half the stick?
My father has a daughter, but she is not my sister. Who is this?
What is heavier - a kilogram of cotton wool or a kilogram of nails?
The banana was cut into four parts. How many cuts were made?
Two sons and two fathers ate three apples. How many apples did each person eat?
Masha was walking into the city, and three old women met her, each with two bags, in each bag a cat. How many people went to the city in total?
Misha is 2 years old, and Lyuda is 1 year old. What age difference will they have in 2 years?
The bagel was cut into three parts. How many cuts were made?
Seryozha stayed with his grandmother for a week and three days. How many days did Seryozha stay?
Nastya has a whole orange, 2 halves and 4 quarters. How many oranges does she have?
Grandma Masha has a granddaughter Dasha, a cat Dymok, and a dog Fluff. How many grandchildren does grandma have?
The egg is cooked for 3 minutes. How long will it take to boil 5 eggs at the same time in one pan?
Two cars drove 40 kilometers. How many kilometers did each person travel?
Five knots were tied on the rope. How many parts did these knots divide the rope into?
10 bird legs were visible from under the fence. How many birds are there behind the fence?
The staircase has 9 steps. What step will be the middle one?
The boy poured 3 piles of sand together, and then poured two more into them. How many piles of sand are there?
Mila and Natasha found two coins under a stone. How many coins would one girl find?
Mom bought three scarves and six mittens for the children. How many children does mom have?
You are the pilot of an airplane flying from London to Berlin with two transfers in Paris. Question: what is the pilot's last name?
You enter a dark room. The room has a gas stove, a kerosene lamp and a candle. You have a box with 1 match in your pocket. Question: what will you light first? (match)
A businessman bought a horse for $10, sold it for $20. Then he bought the same horse for $30, and sold it for $40. Question: what is the businessman's total income from these two transactions? (20)
Who walks on 4 legs in the morning, 2 in the afternoon, and 3 in the evening? (person: infancy, adult, old age)
There is a hare in the forest. Rain is coming. Question: under which tree will the hare hide? (wet)
2 people are walking towards each other. Both are exactly the same. Question: which of them will say hello first? (more polite)
The dwarf lives on the 38th floor. Every morning he gets into the elevator, gets to the 1st floor and goes to work. In the evening, he enters the entrance, gets into the elevator, gets to the 24th floor, and then walks to his apartment. Question: why does he do this? (can't reach)
Find an error in the reasoning: There is a certain room. There is a certain atom in it. There is an infinite number of possible positions of an atom. This means that the probability that the atom is in position (x,y,z) is zero. Because 1 divided by infinity == 0. (not zero, but an infinitesimal value)
Dog-3, Cat-3, Donkey-2, Fish-0. What is the Cockerel equal to? And why? (Cockerel-8 (kuka-re-ku!))
Prove that “I” do not live in a computer simulation. Prove to “yourself” that the outside world and other people exist. Reasoning task.

It’s great if you systematically solve any riddles with your child; this develops logic, imagination, and imaginative thinking.

With the help of such tasks, a logical operation is worked out - NEGATION, which is performed using “not”. The logical connective “not” is very important for the development of logical thinking and speech. Solving such problems requires concentration, develops memory and intelligence.

TASKS FOR PRESCHOOL CHILDREN

FOR THE DEVELOPMENT OF LOGICAL THINKING

1. A lion, an elephant and a hippopotamus lived in different houses. The lion lived neither in a red nor in a blue house. The elephant did not live in a red or orange house.

What houses did the animals live in?

2. Three fish swam in different aquariums. The red fish swam neither in a round nor in a rectangular aquarium. The yellow fish is neither square nor round. In which aquarium did the blue fish swim?

4. Katya has three strollers of different colors: Red, yellow and green. Katya also has three toys: a doll, a bear and a bunny. In the red stroller she will carry not a doll or a teddy bear. In yellow - not a bunny or a doll. What will Katya carry in each of the strollers?

5. The caterpillar is not traveling in the first and not in the last carriage. The duckling is not in the middle and not in the last carriage. In which carriages are the caterpillar and duckling traveling?

6. The butterfly is not sitting on a flower or on a leaf. The beetle is not sitting on a fungus or on a flower. The bee is not sitting on a leaf or on a fungus. Who is sitting on what? (it’s better to draw everything)

7. A kitten, a duckling and a chicken live in a three-story house. The kitten does not live on the first floor or on the third. The duckling does not live on the second floor and not on the first. What floor does each of them live on?

8. Mom bought bags for Katya, Tanya and Olya. I bought Katya neither green nor red. Tanya - neither green nor yellow. Ole - not yellow and not red. What bag did each girl's mother buy?

9. Three boxes contain different vegetables. The cucumbers are not in a blue or a red box. The tomatoes are not in the blue or yellow box. Which box contains the garlic? What about tomatoes and cucumbers?

www.maam.ru

. Math problems. Comparison problems. Serious tasks. | Not for show, but for friends

Logic problems, mathematics problems. Logic problems.

1. Sasha ate a large and sour apple. Kolya is big and sweet. What is the same and what is different in apples? 2. Masha and Nina looked at the pictures. One in a magazine, the other in a book.

Where did Nina look if Masha didn’t look in the magazine?

3. Tolya and Igor were drawing. One is a house, the other is a branch with leaves. What did Tolya draw if Igor did not draw the house?

4. Alik, Vanya and Vova lived in different houses. Two houses had 3 floors, one had 2 floors. Alik and Borya lived in different houses, Borya and Vova also lived in different houses.

Who lived where?

5. Kolya, Vanya and Seryozha were reading books. One is about travel, another is about war, the third is about sports. Who read about what, if Kolya didn’t read about war and sports, and Vanya didn’t read about sports?

6. Zina, Lisa and Larisa were embroidering. One is leaves, the other is birds, the third is flowers. Who embroidered what if Lisa didn’t embroider leaves and birds, and Zina didn’t embroider leaves?

7. The boys Slava, Dima, Petya and Zhenya planted fruit trees. One is apple trees, the second is pears, the third is plums, the fourth is cherries. Who planted what, if Dima is not plum trees, apple trees and pears, Petya is not pears and apple trees, and Slava is not apples?

8. Two girls planted trees, and one - flowers. What did Tanya plant if Sveta and Larisa and Marina and Tanya planted different plants?

9. Three girls drew two cats and a hare. What did Asya draw if Katya and Asya and Lena and Asya drew different things?

10. Two boys bought stamps, one bought a badge and one bought a postcard. What did Kolya buy if Zhenya and Tolya and Tolya and Yura bought different things, and Misha bought a badge?

11. Two boys lived on one street, and two on another. Where did Petya and Kolya live, if Oleg and Petya and Andrey and Petya lived on different streets?

Serious challenges

1. Kolya sculpted 4 soldiers, and Slava - 1. How many soldiers did the guys sculpt in total?

2. There were 6 porcini mushrooms and 3 boletus mushrooms in the basket. How many mushrooms were there in total?

3. There were 6 mushrooms in the basket, 1 mushroom turned out to be inedible and was thrown away. How many mushrooms are left?

4. 5 roses bloomed on the bush. Mom cut 3 pieces, how many are left?

5. There were 3 roses in the vase. Mom cut 2 more. How many roses were in the vase?

6. There were 5 red cups and 1 blue cup on the shelf. How many cups were there?

7. There are 8 tomatoes ripe on the bush. Four tomatoes were picked. How much is left?

Comparison problems.

1. Galya is more fun than Olya, and Olya is more fun than Ira. Who's the funniest?

2. Inna’s hair is darker than Olya’s. Olya's is darker than Anya's. Who has the lightest hair?

3. Tolya is taller than Igor, Igor is taller than Kolya. Who is tallest?

4. Katya is faster than Ira, Ira is faster than Lena. Who is the fastest?

5. Sasha is sadder than Tolya, Tolya is sadder than Vanya. Who's the most fun?

6. Misha is stronger than Oleg, Misha is weaker than Petya. Who is the strongest?

7. The hare is weaker than the dragonfly. The hare is stronger than the bear. Who is the weakest?

8. Sasha is 10 years younger than Igor. Igor is 2 years older than Lesha. Who is the youngest?

9. Ira is 3 cm shorter than Klava. Klava is 12 cm taller than Lyuba. Who is tallest?

10. Tolik is much lighter than Seryozha. Tolik is a little heavier than Valera. Who is the lightest?

11. Vera is a little darker than Luda. Vera is much brighter than Katya. Who is the brightest?

Source klub-drug.ru

Logic problems for preschoolers

Logic problems for children.

We offer you speech logic tasks for preschoolers.

There is a poplar tree in the forest. There are two branches on the poplar, on each branch there are 2 more branches, and on each of all the branches there are two pears. How many pears are there in total?

Tiger, Lion and Kangaroo live in different houses. The tiger lived neither in a gray nor in a green house. The lion did not live in a gray or brown house.

Guess which houses the animals lived in? Once upon a time there lived three girlfriends: Masha, Katya and Dasha. Masha is taller than Katya, Katya is taller than Dasha.

Which girl is the tallest and which is the shortest?

Seryozha has three cars of different colors: orange, green and yellow. Serezha also has three toys: a ball, Parsley and cubes. In the orange car he will not carry cubes or Parsley. The green machine contains neither cubes nor a ball.

What toys will Seryozha carry in each car?

The little bunny is not sitting in the first or last carriage. The little bear is not in the middle and not in the last carriage. In which carriages did Little Hare and Little Bear travel?

The bee is not sitting on a branch or on the grass. The ant is not sitting on a berry or on a branch. The dragonfly is not sitting on the grass or on a berry.

Who sits where?

Mom bought dresses for my sisters. Alena is not flowered or polka dotted. Mile is not flowery or striped. For my wife, not striped or polka dotted.

Whose dress did mom buy for?

From under the fence you can see 6 bird legs. How many birds are sitting behind the fence?

The staircase has 7 steps. Which step will be the middle one?

Sasha connected three piles of sand together, and then poured two more piles there. How many piles of sand are there?

How many cuts do you need to make to cut a banana into 4 parts?

How many cuts do you need to make to divide the bagel into three parts?

Petya was with his grandmother for a week and three days. How many days did Petya stay with his grandmother?

Three girlfriends drew two sparrows and a crow. What did Yulia draw if Sveta and Yulia and Masha and Yulia drew different things?

Vova and Alyosha were drawing. One boy drew a tractor, the other a dump truck. What did Vova draw if Alyosha didn’t draw a tractor?

A hedgehog does not sit under an oak tree, and a mouse does not sit under an aspen tree. Who sits under the oak tree and who sits under the aspen tree?

Geese were walking in the yard. All geese have 8 legs. How many geese are walking in the yard?

The boy came to the stable to look at the horses. He counted them as having 8 legs. How many horses were there in the stable?

Material from the site stotysyhc.ru

Logical tasks for children 6-7 years old

Logic problems, joke problems, mental agility tasks for older preschoolers1. Seven brothers have one sister. How many sisters are there?

(One)

2. Two mothers, two daughters and a grandmother and granddaughter. How many are there? (Three: grandmother, mother and daughter)

3. There are three apples in the basket. How to divide them between three children so that one apple remains in the basket? (Give one along with the basket)

4. One and a half pike perch cost one and a half rubles. How much do three pike perch cost? (3 rubles)

5. Five candles were burning in the room. Two candles were extinguished. How much is left? (Two, the rest burned)

6. You can jump off it while moving, but you cannot jump on it while moving. What is this? (Airplane)

7. Born twice, dies once. (Chicken)

8. Liquid, not water, white, not snow. (Milk)

9. What grows upside down. (Icicle)

10. Who can’t be lifted off the floor by the tail? (Ball of thread)

11. The pencil was divided into three parts. How many cuts were made? (Two)

12. Five knots were tied on the rope. How many parts did these knots divide the rope into? (At 6)

13. When can you cut your hand on water? (If you turn it into ice)

14. Is it possible to fill an empty bucket three times in a row without emptying it once? (Yes: large stones, sand, water)

15. You entered a dark room where there is a candle, a gas stove, and a kerosene lamp. What will you light first? (Match or lighter)

16. The predictor undertakes to predict with 100% accuracy the score of any match before it begins. What is the secret of his unmistakable prediction? (Before the start of the match the score is always 0:0)

17. Is it possible to throw a ball so that, after flying for some time, it stops and starts moving in the opposite direction? (Yeah, throw it up)

18. How to transport a wolf, a goat and a cabbage from one shore to another, if one person (the carrier) can fit in the boat, and with him either a goat, or a wolf, or a cabbage? (First transport the goat, then the cabbage, and on the return trip take the goat, leave the goat on the opposite bank, transport the wolf, return for the goat)

19. Two boys played checkers for two hours. How long did each of them play? (2 hours each)

20. Two people went and found five nails. If four go, how many will they find? (Not a single one, everyone has already been found)

21. One man has four sons and each of them has a sister. How many children does he have? (Five people)

22. Six trees grow near the post office: pine, birch, linden, poplar, spruce and maple. Which of these trees is the tallest and which is the shortest, if it is known that the birch is lower than the poplar, and the linden is higher than the maple, the pine is lower than the spruce, the linden is lower than the birch, and the pine is higher than the poplar? (Spruce, pine, poplar, birch, linden, maple)

23. Which is heavier: a kilogram of cotton wool or half a kilogram of iron. (1 kg cotton wool)

24. Kolya and Sasha bear the surnames Shilov and Gvozdev. What surname does each of them have if Sasha and Shilov live in neighboring houses? (Kolya Shilov and Sasha Gvozdev)

25. Two fathers and two sons, and a grandfather and grandson were walking down the street. How many people were walking down the street? (Three)

26. There were sweets on the table. Two mothers, two daughters, and a grandmother and granddaughter each took one piece of candy. How many candies were on the table? (Three)

27. When a goose stands on one leg, it weighs 7 kg. How much will a goose weigh if it stands on two legs? (7 kg)

28. In the running competition, Yura, Grisha and Tolya took prizes. What place did each of them take if Grisha took neither second nor third place, and Tolya did not take third? (Grisha - 1, Tolya - 2, Yura - 3)

Source ped-kopilka.ru

Logic problems for preschoolers

TASK 1. An elephant, a giraffe and a zebra in different houses. The elephant lived neither in red nor in blue. The zebrafish is not in red or green.

Find out in which houses the animals lived.

TASK 2. Once upon a time there lived three friends: Katya, Lena and Galya. Katya is taller than Lena, Lena is taller than Gali. Who is the tallest and who is the shortest?

What is the name of which one?

PROBLEM 3. A bus and a truck were driving along a wide and narrow road. The truck was not driving on a narrow road. What road was the bus on?

TASK 4. Masha and Tolik went into the forest to pick mushrooms and berries. I didn't pick much berries. What did Masha collect?

TASK 5. Sasha and Seryozha are engaged in swimming and boxing. Sasha is not into swimming. What does Sasha do and what does Seryozha do?

TASK 6. Vadim and Maxim decided to ride a bike and skateboard. Vadim did not ride a bicycle. What did Maxim ride and what did Vadim ride?

Problem 7. A mushroom does not grow under a pine tree, and a flower does not grow under an aspen tree. What grows under a pine tree and what under an aspen?

TASK 8. Three plates contain different sweets. Sweets are not in a yellow or blue plate, cakes are not in a yellow or green plate. What plate are the cookies in?

TASK 9. Ira, Yana and Sveta bought dresses. They bought Ira neither green nor red. It is neither green nor yellow.

What dress does every girl have?

PROBLEM 10. Oleg, Vitya and Misha live on different floors. Oleg does not live on the top floor, but on the bottom floor. Vitya is not on the middle and not on the bottom.

What floor does everyone live on?

PROBLEM 11. The beetle does not sit on a leaf or on a flower. The caterpillar is not sitting on a flower or on a fungus. The butterfly is not sitting on a leaf or on a fungus.

Who is sitting on what?

PROBLEM 12 The hedgehog is not traveling in the first or last carriage. The squirrel is not in the last or middle carriage. In which carriages are the hedgehog and the squirrel traveling?

TASK 13. Borya drew a tank, a car and a rocket. He did not paint a tank or a rocket with red paint.

I did not paint a car or a rocket with green paint. What did he paint blue? What color is the car and what color is the tank?

TASK 14. Gardeners Semyon, Leonid and Kirill grew potatoes, cucumbers and corn on their plots. Semyon did not grow potatoes or cucumbers. Leonid did not grow potatoes or corn.

What vegetables did each of them grow?

Source uznavaka.ru

Logic for children. Tasks, puzzles, tests for development | Giraffe

What geometric shapes should be obtained when connecting two parts? Draw them in the boxes on the right.

Color the picture so that there is a green square on top,

below the square is a red circle, and below the circle is a blue triangle.

What figure did the boy cut out? Compare. Trace it with a colored pencil.

coloring book - logic

Look at the pictures and say what happened first and what happened next.

Find the extra item in each row. Explain your choice.

Draw the missing item in each square.

Imagine a tree in summer and autumn. Color it in the appropriate colors.

Tell me, how many kittens can fit in the house? Is there enough room for everyone?

Tell a fairy tale in which all these heroes will be present.

What shapes do these objects resemble?

Who, a goat or a ram, can build the same house as in the picture?

Show me a flower that is neither red nor blue

Who lives where?

Which scarf is different from the others?

Show me a ball that is neither big nor small

Try to guess where whose boat is.

What objects is the ball afraid of?

Choose a figurine based on color and shape.

Logic exercises

1. Give the names of Vasya and Kolya. Vasya and Kolya have the last names Koshkin and Sobachkin. What surname does each of the guys have if Vasya is three years older than Koshkin?

Answer The problem says that Vasya is three years older than Koshkin. This indicates that his last name is not Koshkin. Therefore, Vasya Sobachkin, and Kolya Koshkin.

2. What is the last name of each of the girls? Olya and Katya have the surnames Lisichkina and Zaitseva. What surname does each of the girls have, if it is known that Katya and Zaitseva are classmates?

Answer The problem says that Katya and Zaitseva are classmates. This means Katya is not Zaitseva, but Lisichkina. Then Olya - Zaitseva.

3. Three brothers - Petya, Seryozha and Dima - studied in different classes of the same school. Petya was no older than Dima, and Seryozha was no older than Petya. Name the oldest brother, the middle one and the youngest.

Answer: Dima is the eldest, Petya is the middle one, Seryozha is the youngest.

4. Three friends studied in the same class: Seryozha, Tolya and Yura. They were all different heights. Seryozha was no lower than Tolya, and Yura was no higher than Tolya.

Which of them was the shortest, the average in height and the tallest?

Answer Yura is the lowest, Tolya is average, and Seryozha is taller than everyone.

5. 12 students from the same school live in one house. This school has three first, three second and three third grades. Do you think that among the students living in this house there are at least two people who study with the same teacher?

Explain your answer.

In total, the school has 3+3+3=9 classes, and there are 12 students living in the house. Therefore, there will definitely be those who study in the same class.

6. When Anya, Sveta and Nina asked what grades they were given for the test, the teacher replied:

Try to guess for yourself if I say that there are no bad grades in your class, but the three of you have different grades, and Anya’s is not 3, Nina’s is not 3 and not 5. What grade did each of these students receive?

Answer: Nina has a score of 4, Anya has a score of 5, and Sveta has a score of 3.

7. Tolya, Volodya and Sasha live on the same street, but in different houses. On the same street is the school where they study.

Volodya lives no closer to Tolya from the school, and Sasha lives no further than Tolya. The boys love to come to school together. Which of these guys should leave the house earlier than everyone else, who should leave the house a little later, and, finally, which of them meets the other two so that they can come to school at the same time?

AnswerVolodya should go out first, then Tolya and, finally, Sasha.

8. There are 400 students in our school. How can you prove, without reviewing documents or interviewing students or their parents, that among the students there are at least two people who have the same date and month of birth?

AnswerThere are 365 days in a year, and there are 400 students in the school, that is, more than the number of days in a year. This means that there will definitely be students whose date and month of birth coincide.

9. The envelope contains squares, circles and triangles cut out of paper - 7 pieces in total. There are 3 times more squares than triangles. How many circles are there in the envelope?

AnswerFirst, let's find out how many squares and triangles can be in the envelope individually. If there were 2 triangles, then there would be 2*3=6 squares, and a total of 2+6=8, that is, more than 7. This means there would be 1 triangle, and 1*3=3 squares. Together they were 1+3=4.

Now let’s count how many circles are in the envelope: 7-4=3.

10. The bag contains two types of candies. They take several candies at random. What is the smallest number of candies you need to take so that among them there are at least two candies of the same type?

Answer: If you take only two candies at random, then they can be of different types. If you take three candies, then they cannot all be of different varieties, since there are only two varieties. Therefore, you need to take at least three candies.

11. There are 34 students in the class. Prove that in this class there are at least two students whose last names begin with the same letter.

There are 33 letters in the alphabet. Since there are more students in a class than there are letters in the alphabet, there will definitely be several last names starting with the same letter.

Do not forget

Material jirafenok.ru

Math problems

Mathematics, arithmetic, mental calculation for preschoolers online | Teaching children to read | By syllables | Read quickly | Home | Today you can find many different methods, games, poems, and riddles for teaching numbers. In preschool age, the foundations of the knowledge a child needs in school are laid.

Mathematics is a complex subject that can present some challenges during schooling. In addition, not all children are inclined and have a mathematical mind, so when preparing for school it is important to introduce the child to the basics of counting.

Math problems

In this article you will find mathematical problems in verse.

Natasha has five flowers,

And Sasha gave her two more.

What is two and five?

____________________________________________________

Six children take a walk in the meadow.

All the goslings are like balls,

Three sons, how many daughters?

_____________________________________________________

Yesterday I gave seven pieces of sweets.

The grandson ate one candy.

Each has three branches

Masha sat down on the bed,

Once to the bunny for lunch

A neighbor friend came galloping up.

Daughter, son, father and mother.

How we stood in a circle under the tree

Bunny, squirrel and badger,

Elk, wild boar, fox and cat.

And the last one to stand was the bear,

Number 9. online copybook.

Mathematics for children 4 5 years old

Educational games for teaching children mathematics This section contains 120 different mathematical educational games for children of senior preschool age (5-7 years). The games are divided into lessons (20 lessons, 6 games in each lesson). Math games for preschoolers presented here include: logic problems for preschoolers, tasks for teaching counting to preschoolers, math coloring pages. In our educational games, parents and specialists will find tasks that allow them to teach counting and mathematics to preschool children in a playful way.

Mathematics for young children is quite a complex science, which can cause difficulties while studying at school. In addition, not all children have a mathematical mind, and not all have a natural attraction to the exact sciences.

Therefore, developing a preschooler’s interest in mathematics at an early age will greatly facilitate his learning at school. After all, the modern school curriculum is quite rich and far from simple even for a first-grader.

Mastering counting skills and the basics of mathematics by a preschooler at home, in a playful and entertaining way, will help him in the future to quickly and easily master complex issues of the school course.

Entertaining tasks

How many ears do three mice have?

How many paws do two cubs have? -Seven brothers have one sister. How many sisters are there in total?

Grandma Dasha has a granddaughter Masha, a cat Fluffy and a dog Druzhok. How many grandchildren does grandma have?

Birds flew over the river: a pigeon, a pike, 2 tits, 2 swifts and 5 eels. How many birds? Answer quickly!

7 candles were burning. 2 candles were extinguished. How many candles are left? (2. the rest burned)

There are three apples in the basket. How to divide them between three children so that one apple remains in the basket? (give one apple along with the basket).

There are three thick branches on the birch tree, and on each thick branch there are three thin branches. There is one apple on each thin branch. How many apples are there in total? (Not at all - apples don’t grow on birch trees.)

How to teach your child math

In this article we will talk more about how to prepare your child for learning mathematics.

You have had a child, and you are beside yourself with overwhelming happiness just from the realization that you have now become a happy mother and will finally have someone to pass on your motherly love and knowledge to. It is not for nothing that, from time immemorial, all leading philosophers have emphasized in every possible way that when parents want to raise their child in the image and likeness, hard or soft, then they, willingly or unwillingly, want their baby to be like themselves. This process is called education.

It’s not for nothing that people say that a kind person helps everyone, while a smart person helps only those in need. And if you want to see your child not only kind, but also smart, then you need to start the whole process of education from infancy. But where should you start?

You need to start small. From logic. In order for your child to be able to believe in the existence of cause-and-effect relationships, you must and are always obliged to fulfill your parental promises (for example, “if you behave well, then we will definitely go to the zoo.”)

If your child is already seriously interested in children's books, then it will be useful to add verbal logic riddles and problems with answers like: “If this is so, then it is because...” or “What will happen if I do everything the other way around?” “How can all this be explained?” Simple children's riddles, puzzles, and rebuses help develop logic. Make it a rule to organize riddle evenings at least once a week. Teach your child to make puzzles himself.

Your child is entering a stage when everything becomes extremely interesting to him and his curiosity can and should be played upon so that he can quickly learn and, most importantly, understand the world around him. And simple everyday logic will only benefit him.

To make it easier for your child to understand and comprehend all this, it will be useful to include in role-playing games certain elements of ready-made conclusions, like: “Your dolls go to bed in the evening because they get tired during the day. But my Volodya is also tired, and it’s time for him to go to rest.”

You can also show an example from the world of “Moidodyr” that if “children do not wash and comb their hair, then the rest of the children in kindergarten will not play with him.” Already as your child grows up, it will be possible to teach much deeper concepts with logical implications. Here you need to apply the main and basic principle - so that your child begins to clearly understand that in this world there is always both cause and effect.

History of mathematics for children

The history of the development of mathematics is not only the history of the development of mathematical ideas, concepts and trends, but it is also the history of the relationship between mathematics and human activity, the socio-economic conditions of different eras. The formation and development of mathematics as a science, the emergence of its new sections is closely related to the development of society's needs for measurements and control, especially in the areas of agriculture, industry and taxation.

The first applications of mathematics were related to stargazing and agriculture. The study of the starry sky made it possible to build trade sea routes, caravan roads to new areas and dramatically increase the effect of trade between states.

The exchange of goods led to the exchange of cultural values, to the development of tolerance as a phenomenon underlying the peaceful coexistence of different races and peoples. The concept of number has always been accompanied by non-numerical concepts.

For example, one, two, many... These non-numerical concepts have always protected the field of mathematics. Mathematics gave a finished form to all sciences where it was applied. In Europe, a division has developed into the humanities and natural sciences according to the degree of influence of mathematics on these parts.

The oldest mathematical problem.

It was invented 2650 years ago and in the Russian version it sounds like this:

On the way to Dijon I met a husband and his seven wives. Each wife has seven bales, Each bale has seven cats. How many cats, bales and wives moved peacefully to Dijon?

The biggest numbers.

The largest number found in dictionaries and called the power of 10 is the centillion, first used in 1852. It is a million to the hundredth power, or one followed by 600 zeros.

A unit followed by one hundred zeros is called a googol. This term was proposed by the 9-year-old nephew of Edward Kasner (USA).

A googol 10 to the power is called a googolplex.

10 - ten

Source poskladam.ru

Logic problems for preschoolers

The giraffe did not live in a red or blue house. The crocodile did not live in a red or orange house. Guess which houses the animals lived in? Three fish were swimming. The red fish was swimming neither in a round nor in a rectangular aquarium. The goldfish is neither square nor round.

In which aquarium did the green fish swim?

Once upon a time there were three girls: Tanya is taller than Lena, Lena is taller than Dasha. Which girl is the tallest and which is the shortest? What is the name of which one?

Misha has three carts of different colors: Red, yellow and blue. Misha also has three toys: a tumbler, a pyramid and a spinning top. In the red cart he will not carry a spinning top or a pyramid. In yellow - not a spinning top or a tumbler.

What will Mishka carry in each of the carts?

The mouse is not traveling in the first or last carriage. The chicken is not average and not in the last carriage. In which carriages are the mouse and the chicken traveling?

The dragonfly is not sitting on a flower or on a leaf. The grasshopper does not sit on a fungus or on a flower. The ladybug is not sitting on a leaf or on a fungus. Who is sitting on what? (it’s better to draw everything)

Alyosha, Sasha and Misha live on different floors. Alyosha lives neither on the top floor nor on the bottom. Sasha lives neither on the middle floor nor on the bottom.

On what floor does each boy live?

Anya, Yulia and Ole’s mother bought fabrics for dresses. Anya is neither green nor red. Yule - neither green nor yellow.

Ole is neither yellow nor red. Which fabric is for which girl?

Three plates contain different fruits. The bananas are not in a blue or an orange plate. Oranges are not in a blue or pink plate.

What plate are the plums in? What about bananas and oranges?

A flower does not grow under a Christmas tree, A fungus does not grow under a birch tree. What grows under the tree

Anton and Denis decided to play. One with cubes, and the other with cars. Anton didn't take the car.

What did Anton and Denis play?

Vika and Katya decided to draw. One girl was painting with paints,

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