A rebus is a riddle in which the desired word or phrase is depicted as a combination of figures, signs, letters, i.e. "objects". One of the main difficulties in solving puzzles is the ability to correctly name the object depicted in the figure and understand how the fragments of the picture relate to each other. It is necessary to take into account the presence of synonyms, the letter "fraction" can be read in different ways. In addition to knowing the rules, you also need ingenuity and logic.

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MOU "Secondary school d. Yurlovka Saratov district of the Saratov region" Vostrikova I.O. puzzles

Find the missing figure?

What little man should be put instead of the question mark? ?

Collect FLOWER

How many triangles? 8

Top Beam Rebuses

Puzzles Problem Diameter

Puzzles Sign Five

Puzzles Diagonal Square

Puzzles Addition Subtraction

Puzzles Segment A Cuba

Puzzles T and \u003d a Point Eight O 7

Puzzles A D Two

Addition Problems In all problems, express the whole number with the numbers 1, 2, 3, etc., applied one time and arranged sequentially. Example. Write down the number 19 using the first four digits. Answer: 19 \u003d 12 + 3 + 4 1. Draw the number 24 with numbers from 1 to 5. 24 \u003d 12 + 3 + 4 + 5 3, 4, 5 and 6. 30 = 12+3+4+5+6 3. Write the number 37 using one, two, three and four. 37 = 1+2+34 4. Draw the number 45 using the numbers from 1 to 8. 45=12+3+4+5+6+7+8 5. Express the numbers 1, 2,3 and 4 the number 46. 46 =12+34 6. Represent the number 55 using the first seven digits. 55=1+2+34+5+6+7 7. Draw the number 69 using the numbers from 1 to 5. 69 = 1+23+45 8. Write the number 100 in two ways using 1,2,3,4, 5,6 and 7. 100 = 1+23+4+5+67 9. Express the number 102 with digits from 1 to 6 100 = 1+2+34+56+7 102 = 12+34+56 10. Imagine the number 333 with all numbers. 333=1+234+5+6+78+9

Rebus is a unique invention of mankind, helping to educate people in sharpness of mind, ingenuity, ingenuity. Adults sometimes like to indulge in solving such puzzles in their free time, but puzzles are the most fun for children. To combine the pleasant and the useful, we invite you to solve puzzles with numbers for children, which are given on our website with answers.

Puzzles are aimed at the logical development of the child.

How to solve them?

Mathematical puzzles are not puzzles that we are used to at school, although they may still contain some elements of such actions. Let's remember what a traditional rebus looks like.

Any word is taken for encryption. Then it is divided into parts and each part is encrypted. Having solved each part of the rebus separately, it is necessary to add the word.

Mathematical puzzles can be both linguistic and numerical in nature. For example, in a problem, by mathematical operations, you can calculate the required number. If mathematical puzzles with numbers for children are encrypted with words, then the task is simplified.

A selection of materials on the topic

Answers to this rebus: swift, family, magpie, pillar.

How can you use them?

You can solve puzzles in lessons with younger children school age as well as preschoolers in kindergarten or aesthetic center, if they already know the numbers and know how to navigate them. At school, puzzles with Roman numbers can be connected to work, although it will be more difficult for children to solve them for the time being.

Of course, it is impossible to build mathematical classes completely on rebuses. But the lesson can be significantly diversified if, after several difficult tasks, a fun rebus is offered for children. If classes are held in children's center or kindergarten, then math puzzles for children can be offered daily, between games or other activities. Of course, they should be tied to the study of numbers, since children at this age are still poorly versed in numbers.

Mathematical puzzles can be given to children at home, of course, taking into account that parents will help them at home. At school on open lesson if the teacher resorts to this kind of tasks, he will surely succeed.

How to solve mathematical puzzles? Let's give some examples.

So, the first part of the word in the rebus is encrypted in the form of the word "glasses", in which you need to remove the first and third letters. So we get "chi". Further from the word "elephant" subtract the last letter. We get the word "number".

Another puzzle. The first part of the word is the note located in the middle of the first line on the stave (“mi”). The second part of the word is "nose", in which the second letter is equal to "y". If you put it all together, you get a "minus".

So, the rebus is not complicated, and understand the principle of its construction junior schoolchildren they can too. When the children get comfortable with the puzzles, you can invite them to come up with mathematical puzzles themselves. The kids love this kind of work. When everyone comes up with at least one or two problems, ask the others to guess. To do this, the kids must draw pictures for their puzzles on sheets of paper or on the board.

Another option for using puzzles is to prepare a competition for children's work. This can be done during Math Week or in preparation for a holiday. Hang your work with puzzles in a conspicuous place, for example, in the hall or assembly hall. It will be very interesting for parents to look at children's works and try to solve them. It is better not to hang puzzles with answers so as not to deprive the audience of intrigue.

conclusions

Puzzles are very useful tasks for children, especially if they are able to teach new things. Mathematical problems not only allow you to repeat the material by numbers, but also develop ingenuity and ingenuity.

Children are very mobile and curious creatures. Puzzles are able to awaken their imagination and sharp mind, which will surely find a solution to the problem. Give the guys more food for thought, stimulate the thinking process, Creative skills. Let mathematics be closely intertwined with philology and logic, because the interaction of objects allows you to feel the connection of various disciplines from childhood, which is so necessary for the formation of a holistic picture of the world.

Einstein problem

There are 5 houses on one street. People of different nationalities live in different houses. Everyone drinks their own drink, has a favorite type of recreation and keeps their own pet.
It is known that:
1. The Briton lives in a red house.
2. The Swede has a dog.
3. The Dane drinks tea.
4. The green house is to the left of the white one, close to it.
5. The owner of the green house drinks coffee.
6. The one who reads novels has birds.
7. The owner of the yellow house likes to walk.
8. The owner of an average house drinks milk.
9. The Norwegian lives in the first house.
10. A person who watches TV lives next to the owner of cats.
11. The one who keeps horses lives next to the one who likes to walk.
12. He who listens to music drinks kvass.
13. A German solves problems.
14. The Norwegian lives next to the blue house.
15. Someone who watches TV has a neighbor who drinks water.
Who is keeping the fish?

Task 1.

At the school quiz, participants were asked 20 questions. For a correct answer, the student was given 12 points, and for an incorrect answer, 10 points were deducted. How many correct answers did one of the students give if he answered all the questions and scored 86 points?

Task 2.

Place 7 full drums, 7 half-full drums, and 7 empty drums on three trucks so that all trucks carry the same weight.

Task 3.

There are pencils on the table. Two players take turns taking 1, 2 or 3 pencils. The one who takes the last pencil loses. How should a beginner play to win if there are 8 pencils on the table? Can the first win if the second plays correctly if there are 9, 10, 15 pencils on the table?

Task 4.

There are 33 people in our class, and everyone is friends with exactly 5 classmates. Could this be?

Task 5.

8 girlfriends decided to exchange photos so that each of them had photos of other girlfriends. How many photos will it take?

Task 6.

Nina lives on the 4th floor, and Tanya lives on the 2nd. Nina climbs 60 steps. How many steps does Tanya climb?

Numerical puzzles

Millions of people in all parts of the world love to solve puzzles. And this is not surprising. “Mind gymnastics” is useful at any age. After all, puzzles train memory, sharpen intelligence, develop perseverance, the ability to think logically, analyze and compare.

Our whole life is an uninterrupted chain of game situations. They are significant, but they are trifling, but both of them require us to make decisions. Even in ancient Hellas, without games, the harmonious development of the personality was not conceived. And the games of the ancients were not only sports. Our ancestors knew chess and checkers, puzzles and riddles were not alien to them. Such games at all times were not alienated by scientists, thinkers, teachers. They created them. Since ancient times, the puzzles of Pythagoras and Archimedes, the Russian naval commander S.O. Makarov and the American S. Loyd.

There is such a kind of puzzles, which are called numerical. They are expressions that require an arithmetic solution, compiled in the form of mathematical equalities, where numbers are replaced by other signs - letters, geometry figures, asterisks, etc.

Numerical puzzles mean those puzzles in which it is necessary to use logical reasoning. They are the way to solve and decipher each character, which leads to recovery. numeric entry.

Numerical puzzles are almost a thousand years old. They first appeared in China, then in India. In European countries, numerical puzzles were first called crypt-arithmetic problems. Their appearance in Europe was first noted only in the twentieth century, despite the fact that the development of mathematics began many centuries ago.

When compiling puzzles of a numerical type, the following rules are used. All used numbers are replaced by letters. If there are identical numbers in the task, respectively, the same number of letters is used. Intermediate stages of mathematical operations are indicated by asterisks. There are several types of puzzles based on these rules. The first is puzzles in which all available letters are replaced with numbers. At the same time, some expression is encrypted that denotes everyday situations in the original presentation.

THREE BUN

+TWO + WAS

FIVE LOTS

SNOW SEA SUMMER

+ SNOW + SEA + SUMMER

blizzard ocean heat

The entry may contain not only numbers, but also asterisks - this is the second type of puzzles. The third type is puzzles, in which almost all characters are replaced by asterisks.

Numerical puzzles are very complex, sometimes there are those that require a phased long-term solution. Numerical puzzles are fascinating mathematical problems that greatly develop logic and quick wits.

Numerical puzzles can be made up of several rows of symbols, and between them a certain number of mathematical signs are placed, which are pointers to what actions need to be performed vertically and which horizontally.

1) TA + IT \u003d YEARS 2) KRA + OLI \u003d IAYA

X - + X : -

EU x CH = LLAS L x AR = KYAI

LEAA + EC = LEEC OII + AL = RKA

Numerical puzzles are very popular not only in schools in regular lessons, but also in mathematical olympiads. You can solve number puzzles with computer programs, however, incomparable pleasure can be obtained by a person who independently puzzles over a clue and eventually finds it.

The tasks presented in an entertaining way are very interesting. I want to solve them, they captivate with their unusualness, non-obviousness of the answer. There is a desire to make even a difficult path of finding a solution. Amusement and severity are quite compatible. Each independently solved task is perhaps a small, but still a victory.

How to solve mathematical puzzles and creep tariffs

In alphabetic puzzles, each letter encrypts one specific number: identical numbers are encrypted with the same letter, and different numbers correspond to different letters.

In puzzles encrypted, for example, with asterisks, each character can represent any number from 0 to 9. Moreover, some numbers may be repeated several times, while others may not be used at all.

Before starting to solve a mathematical letter puzzle (for example, a cryptarithm), make sure that no more than 10 different letters are used in it. Otherwise, such a rebus will have no solutions.

Start solving the rebus with the rule that zero cannot be the leftmost digit in a number. Thus, all letters and signs with which the number in the rebus begins can no longer mean zero. search circle the right numbers will narrow.

In the course of the solution, start from the basic mathematical rules. For example, multiplying by zero always gives zero, and when multiplying any number by one, we will get the original number as a result.

Very often, mathematical puzzles are examples of adding two numbers. If, when adding, the sum has more signs than the terms, then the sum starts with "1"

Pay attention to the sequence of arithmetic operations. If a numerical rebus consists of several rows of characters, it can be solved both vertically and horizontally.

Don't be afraid to make mistakes. Perhaps they will tell you the right course of action. Don't neglect the iteration method. Some puzzles will require a long step-by-step solution, but in the end you will be rewarded with the right answer and an excellent warm-up for your quick wits.

Before you start solving difficult problems, practice on simple example: CAR+CAR = COMPOSITION. Write it in a column, so it will be more convenient to decide. You have two unknown five-digit numbers, the sum of which is a six-digit number, so B + B is greater than 10 and C is 1. Replace the characters C with 1.

The sum of A + A is a one-digit or two-digit number with a unit at the end, this is possible if the sum of G + G is greater than 10 and A is either 0 or 5. Try to assume that A is 0, then O is equal to 5 , which does not satisfy the conditions of the problem, since in this case, B + B = 2B cannot equal 15. Therefore, A=5. Replace all A's with 5's.

The sum O + O = 2O is an even number, it can be equal to 5 or 15 only if the sum of H + H is a two-digit number, i.e. N more than 6. If O+O=5, then O=2. This solution is incorrect, because B + B \u003d 2B + 1, i.e. O must be an odd number. So O is equal to 7. Replace all O with 7.

It is easy to see that B is equal to 8, then H=9. Replace all letters with the found numerical values.

Replace the remaining letters in the example with numbers: G=6 and T=3. You got the correct equality: 85679+85679=171358. Rebus solved.

Numerical puzzles

Numerical puzzles mean those puzzles in which it is necessary to use logical reasoning. They are the way to solve and decipher each character, which leads to the restoration of the numerical record.

THREE BUN

+TWO + WAS

FIVE LOTS

SNOW SEA SUMMER

+ SNOW + SEA + SUMMER

blizzard ocean heat

The entry may contain not only numbers, but also asterisks - this is the second type of puzzles. The third type is puzzles, in which almost all characters are replaced by asterisks.

1) TA + IT \u003d YEARS 2) KRA + OLI \u003d IAYA

EU x CH = LLAS L x AR = KYAI

LEAA + EC = LEEC OII + AL = RKA

Numerical puzzles are very popular not only in schools in regular lessons, but also in mathematical Olympiads. You can solve numerical puzzles with the help of computer programs, but a person who puzzles over the solution on his own and eventually finds it can get incomparable pleasure.

In alphabetic puzzles, each letter encrypts one specific number: the same numbers are encrypted with the same letter, and different letters correspond to different numbers.

In puzzles encrypted, for example, with asterisks, each character can represent any number from 0 to 9. Moreover, some numbers may be repeated several times, while others may not be used at all.

Before starting to solve a mathematical letter puzzle (for example, a cryptarithm), make sure that no more than 10 different letters are used in it. Otherwise, such a rebus will have no solutions.

Very often, mathematical puzzles are examples of adding two numbers. If, when adding, the sum has more signs than the terms, then the sum starts with "1"

Pay attention to the sequence of arithmetic operations. If a numerical rebus consists of several rows of characters, it can be solved both vertically and horizontally.

Before you start solving complex problems, practice on a simple example: CAR + CAR = COMPOSITION. Write it in a column, so it will be more convenient to decide. You have two unknown five-digit numbers that add up to a six-digit number, so B + B is greater than 10 and C is 1. Replace the characters C with 1.

It is easy to see that B is equal to 8, then H=9. Replace all letters with the found numerical values.

Replace the remaining letters in the example with numbers: G=6 and T=3. You got the correct equality: 85679+85679=171358. Rebus solved.

Comma in puzzles is one of the main symbols, thanks to which you can often unravel the most intricate word, diligently hidden in a picture with letters and various numbers and signs. Usually words are encrypted in puzzles, but sometimes even whole phrases, you need to read it from left to right, and do not forget to put a piece of paper and a pen next to it, you may have to take short notes so as not to forget the unraveled parts of the word, while you you will puzzle over the rest.

How often have you looked at interesting pictures in magazines and thought, what do commas mean in puzzles, how to solve letter charades and so on, of course, each of these types of puzzles has its own secrets that you need to know in order to achieve a positive result. To get started, take a collection of the simplest puzzles, where elementary words will be hidden, and their solution will consist of one action.

If there is a comma near the picture - on the left or right, then this means that a certain number of letters must be deleted in the encrypted word, their number is determined by the number of commas, and if the sign is at the beginning of the picture, then the initial letter is removed, if the comma is at the end, then the letters must be removed from the end. As you can see, the rule is very simple and clear, the main thing is to understand what word is hidden behind the picture, and sometimes this is the main catch.

But in the example that we will give you, so that you understand, everything will be very simple. The figure shows a dove, and after the picture there are three commas. This means that in the word “dove” three letters must be removed from the end, and you will find out that “Goal” was encrypted in the rebus. Although here you can make a mistake, because you see that the picture shows a bird, and you won’t specify what kind of these birds. And if you subtract three letters from the end from the word “bird”, you are unlikely to get an answer that suits you.

By the way, inverted comma in puzzles has the same meaning, indicates the number of letters to be removed at the beginning or at the end of the word. Do you remember what teachers could offer you in class in order to distract you from the difficult topic of the lesson. But a comma is an integral part of the Russian language, a punctuation mark, which is associated with many rules that cause difficulty for schoolchildren.

The comma has become not only part of the syntax of many languages, but is also used as a decimal separator in mathematics, that is, with its help, the integer part is separated from the fractional part. Of course, if you are interested in programming, then you know that the comma is used there when listing array elements or function arguments. the main questions that can be included in a crossword puzzle on computer topics have already been collected, and a comma, which is indicated on the keyboard, was also used to compile it. Not many people know that there are several ways to type the "," sign on a computer keyboard.

This traditional form puzzles has been known since the 15th century. Initially being a French tradition, the rebus gradually gained popularity all over the world, including in our country. Russia first saw puzzles thanks to the magazine "Illustration", where in 1845 riddles of this type were published. The rebus owes its name Latin word res is a thing. That is, rebus literally means "things, objects."

The essence of the task is that the code word or phrase is encrypted using graphic images, letters, numbers, and other graphic symbols and techniques. Each picture, letter combination or number is a part of the symbols from the desired answer or a specific indication for understanding the riddle. About, how to solve puzzles, we will talk in this article.

Despite the variety of forms for presenting rebus puzzles, there is an unspoken set of rules that are generally accepted by the compilers and fans of these graphic problems. The person who solves the rebus takes turns dealing with small problems and eventually comes to guessing the keyword. Finding the right answer requires the player to have developed logic, erudition, and the ability to think differently. Before you start solving puzzles, you need to understand the basic principles of coding and symbolic play that are used in these tasks.

Graphic images in a rebus are a way to convey a certain sequence of letters that will be included in the answer. In order to find it, you need to guess what is shown in the picture. In addition, figures, numbers, notes and other well-known symbols can act as "code symbols". Sometimes there may be several options, or there is no answer at all. Do not despair - you can try to guess other parts of the rebus and return to the problem later. Operator signs can be placed between the elements of the rebus: for example, “+” means joining the values of neighboring elements of the rebus, the back arrow means the reverse reading of the word. How to learn to solve puzzles of varying complexity? Let's try to figure it out.

How to solve puzzles with commas and numbers

Quite often, having guessed the meaning of the encrypted section of the problem, the player ends up using only some of the letters from the answer. This is indicated by the corresponding icons and marks located above one of the rebus symbols. A few words about that, with the commas in the figure. For example, a comma to the left of the icon means that the first letter of this “code” will not be included in the answer. If there are two commas, then the first two letters must be discarded, and so on. Commas can also be located on the right: in this case, letters from the end of the word are discarded. If you once understood how to solve puzzles with commas, then there is nothing complicated in this technology.

Compilers of puzzles like to use the substitution technique in their riddles. For example, the picture shows cancer, and above it the mark "3 = B". This means that the code word is a slave, that is, the third letter must be changed. Often the letter changes not by number, but something like this: “K = B”, that is, a slave is still obtained from cancer. Also, a mark with crossed-out letters can be placed above the task element - something that needs to be “thrown out” from the code word.

How to solve puzzles with letters

Although the main purpose of the rebus is precisely to find correct sequence letters, often the letters in it can act as a direct element of the cipher. How to solve puzzles with written letters? Letters in puzzles can appear in three different "images":

as unencrypted sections of the response phrase, which are left in mind that it is impossible to encode them or specially, to facilitate the search for a solution;
on marks to replace some characters with others;
as active elements of a logic game.

In the latter case, a special role is played by mutual arrangement letters relative to each other. Sometimes the entire task or a significant part of it is built on this. Here are a few more words on how to solve the puzzle with letters. For example, the figure shows capital letter“K”, below it is the letter “A” of a slightly smaller size, inside which the letter “O” is enclosed. After analyzing the mutual arrangement of the letters, we understand: the letter “O” is inside the letter “A”, and this whole “situation” is under the letter “K”. Throwing out the superfluous from the phrase, as a result we get the construction: under "K" "O" in "A". That is, the answer to the rebus is a horseshoe.

The mutual arrangement of the rebus elements and the graphic elements connecting them always matter when looking for an answer. There are many ways to encode the answer. Usually, the authors of problems strive to make them suitable for intuitive understanding.

How to solve a puzzle with letters and pictures

Sophisticated lovers of puzzles find a special charm in the mutual combination of various principles for encoding information for an answer. Here are some tips about how to solve a puzzle with letters and pictures. They will help you cope with solving complex, multi-way puzzles.

Having successfully guessed the meaning of the pictures, perform the operations of discarding and replacing letters.
Make sure all letters are in the right place.
Do the same for numeric and symbolic elements.
Decide on the role the letters play in your puzzle. Perform the necessary steps to correctly attach them to the task.
Now decide on the sequence in which sections of the response phrase will be “glued together.” It is quite possible that you will have to combine in order to find the right option. However, if you know how to solve puzzles in pictures you will surely find a solution.
Write down the answer. Perhaps you will guess it even before the rebus is completely solved.

In this article, we have tried to briefly talk about how to solve puzzles. However, in order to really master this occupation, practice is necessary, which we wish you to quickly begin.

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