Geometric puzzles - fun leisure time. Extracurricular event "Battle of Mathematicians" State Institution Chekomanskaya Secondary School
To learn how to compose and understand puzzles, it is worth understanding what they are.
Word "rebus" of Latin origin (Latin rebus, with the help of things, “Non verbis sed rebus” - “Not with words, but with the help of things”). The rebus originated in France in the 15th century, and the first printed collection of rebuses, published in this country in 1582, was compiled by Etienne Taboureau. Over the time that has passed since then, the technique of composing rebus problems has been enriched with many different techniques.
So, rebus- This is one of the types of puzzles, a riddle to decipher words. Encrypted according to certain rules in a rebus, there can be not only a single word, but also a proverb, a saying, a quote, a riddle, and even a whole short story. Words and phrases in the rebus are depicted in the form of pictures, letters, numbers, notes and other various symbols, the number of which is not limited. Solving a rebus is a whole science. When solving a rebus, you need to write down all the signs in the form of a meaningful word or sentence. Although there are several types of puzzles (literary, mathematical, musical, sound, etc.), there are some general rules for composing and solving them.
example of a rebus
GENERAL RULES FOR SOLVING PUZZLES
A word or sentence is divided into parts that can be depicted in the form of a picture or any sign. The rebus is read from left to right, less often from top to bottom. Punctuation marks and spaces are not taken into account in the rebus. If there is one word in the rebus, then it should, as a rule, be a noun, and in the singular and in the nominative case. Deviations from this rule must be specified in the terms of the rebus. If a sentence is made (a proverb, an aphorism, etc.), then, naturally, it can contain not only nouns, but also verbs and other parts of speech. In this case, the terms of the rebus must contain the appropriate phrase (for example: “Guess the riddle”). A rebus must have a solution, and, as a rule, only one. The ambiguity of the answer should be specified in the conditions of the rebus. For example: “Find two solutions to this puzzle.” The number of techniques and their combinations used in one rebus is not limited.
PUZZLES IN PICTURES
The simplest option is when the rebus consists of two pictures, which will help you create a new word. The names of the objects depicted in the rebus should be read in the nominative case, singular or plural if several objects are depicted.
rebus 1
FOB + WINDOW = FIBER
rebus 2
TRAIL + EXPERIENCE = TRAILER
rebus 3
EYE + FACES = OUTDOORS
From the last example it is clear that the picture in the rebus can have more than one name (eye and eye, bees and swarm, etc.); or the image may have a general or private name (bird - general name; swift, swallow, chicken - private name). If the depicted object has two meanings, then logically you need to determine the appropriate one. This is the most difficult thing about puzzles.
If the picture upside down, this means that the word is read “back to front”.
rebus 4
Inverted NOSE = SLEEP
If to the right or left of the picture there is one or more letters- this means that these letters should simply be added. Sometimes they are preceded by a “+” sign. Sometimes the desired object in the picture is indicated by an arrow.
rebus 5
FLASK + SA = SAUSAGE
rebus 6
Letter X + LEV = STORY
PUZZLES WITH COMMA
Commas to the right or left of the picture means that in the word guessed using the picture you need to remove as many letters as there are commas. In this case, commas in front of the picture indicate how many letters need to be removed at the beginning of the hidden word, commas at the end of the picture indicate how many letters need to be removed from the end of the word. Sometimes commas to the left of the image are drawn upside down, although this does not play a fundamental role.
rebus 7
VOL K - K = VOL
rebus 8
GA MAC - GA = MAC
rebus 9
BA SLAVE AN - BA - AN = SLAVE
The arrow pointing to the left, shown above the picture, indicates that after the word has been deciphered, it must be read backwards.
rebus 10
DRESSER - KO, read from right to left = HOUSE
PUZZLES WITH LETTERS AND NUMBERS
If it is above the picture crossed out letter, and there is another one next to it, then this letter in the word needs to be changed to the indicated one. If one or more letters are simply crossed out, then they need to be removed from the word. The "=" sign also serves to replace one of the letters with another.
rebus 11
O R YOL = DONKEY
rebus 12
BA BARREL - BA = BARREL
rebus 13
KORO VA = CORONA
If the crossed out letter(s) stands as an independent figure, then it must be read with the addition of the particle “not”.
rebus 14
NOT TEACHING
Numbers can be used instead of pictures. If part of a word in a rebus is represented by a number, then the number is pronounced as a numeral.
rebus 15
Number SEVEN + letter I = FAMILY
rebus 16
Number STO + letter L = TABLE
We keep in mind that a number can have more than one name.
rebus 17
ONCE + FORK = FORK
rebus 18
Letter Ш + KOL + letter A = SCHOOL
rebus 19
Letter P + ONE + AR KA = MOLE
rebus 20
BY VAR + number TWO + L EC = BASEMENT
Several identical letters or other images in a row mean that you need to try to count them.
rebus 21
SEVEN letters I = FAMILY
rebus 22
THREE CATS + letter F = KNITWEAR
rebus 23
A PAIR of letters D = PARADE
Numbers next to the picture serve to number letters in a word. The number indicates the place of the letter in a given word, and the order in which the numbers are written determines the new place of this letter.
rebus 24
PINE = PUMP
rebus 25
PAINTER = GAUGE
If there are fewer numbers indicated than letters in the hidden word, this means that only the specified number of letters must be selected from the hidden word.
rebus 26
A LL IGAT O R = GUITAR
The use of crossed out numbers means that the corresponding letters must be removed from the hidden word.
rebus 27
PAL AT KA = STICK
If next to the picture there are two numbers with arrows pointing in different directions, it means that in the word the letters indicated by the numbers must be swapped.
rebus 28
Z A M OK = Smear
Roman numerals may also be used.
rebus 29
Forty A = FORTY
The use of fractions is not excluded. When a fraction is used in a puzzle, it is solved as "ON THE"(divide by). If the rebus uses a fraction with a denominator of 2, then it can be solved as "FLOOR"(half).
rebus 30
Z divided by K = SIGN
rebus 31
Gender of the letter E = FIELD
Crossed out sign "=" between the pictures should be read as "NOT".
rebus 32
And not Y = FROST
PUZZLES BY THE TYPE “LETTERS IN A LETTER”, “LETTERS ON OR UNDER A LETTER”
Often in puzzles they draw letters placed in an unusual angle relative to each other (one inside the other, one under or above the other, one running towards the other, one coming out of the other, etc.). This means that it is necessary to describe a picture or letter combinations using prepositions and conjunctions: “I”, “B”, “K”, “U”, “C”, “FOR”, “FROM”, “ON”, “PO” , "BEFORE" and others.
If objects, numbers or letters are depicted one within the other, then their names are read with the addition of a preposition "IN" before or between titles.
rebus 33
In the letter O the letter Z = WHO
rebus 34
Letter Z in letter O + letter N = ZVON
If one object is depicted behind another, then their names are read with the addition of a preposition "BEFORE" or "BEHIND".
rebus 35
Behind the letter L is the letter P = VALLEY
Usage horizontal line between pictures, letters or numbers placed one below the other means the use of prepositions "ON THE", "ABOVE", "UNDER".
rebus 36
On the letter C the letter T = NAST
rebus 37
Under the letter C kok = JUMP
rebus 38
From the letter N to the letter E + letter G = SNOW
Children are introduced to geometry at an early age. Although at that time they still do not suspect that all these various figures are an integral part of a complex and incomprehensible science, of which they are also geometric puzzles. Children aged 2-3 years are already offered children's educational games, where they need to combine wooden squares, triangles and rectangles with the corresponding cells. This is how, for the first time, kids get acquainted with a variety of geometric shapes, angles, and sides of shapes.
A square is a regular quadrilateral in which all sides and angles are equal. Of course, speaking about geometric puzzles, you must definitely provide puzzles about the square, it seems to you that this is an overly complex word and you won’t be able to come up with a puzzle on your own. First, let's remember all the rules for solving puzzles, and divide the word square into its components - “square - at”. How can you draw a “quad”, what methods should you use? You can use a “frame” and indicate under the picture that the letter “B” should be inserted into the word. Now let's move on to the next part - “at”, this could be an image of a “robe” with three commas in front of the picture.
The simplest geometric puzzles are always made up of small words, for example, ball, circle, and so on. You can easily create a “ball” rebus - just draw a “scarf” and put one comma after the image.
Geometric figures are also used in psychology. A very popular test for determining personality character, where the person being tested is given a choice between five shapes: square, rectangle, circle, triangle, broken line. They must be arranged in descending order, and based on the test data, conclusions are drawn regarding the person’s character. For example, if a square is in the first place, then the person in front of you is hardworking, a person with logical thinking and mathematical analysis. Triangles are leaders by nature; they are self-confident and self-centered people.
The one who puts the rectangle in first place is an unpredictable person; curiosity and inquisitiveness are the main qualities of his character; he has a keen interest in everything that happens, and courage. Rectangles are often in a state of confusion, uncertainty, and entanglement in problems. The circle is a symbol of harmony. These people experience other people's failures and rejoice in other people's achievements; they are emotional. But the zigzag speaks of a creative person who is characterized by imaginative thinking. Such a person cannot work in one place for a long time.
But puzzles are also often used in psychology to determine the level of a person’s logical thinking, because in order to solve them there is no need to have any knowledge in the field of mathematical sciences, it is enough just to draw the correct logical chains that will lead to the correct answer.
Puzzles for schoolchildren with solutions and answers.
Mathematical problems vary in complexity, so start solving them with your child in kindergarten. Mathematical puzzles are almost always popular with children, so you won’t need to force your child to study. We will try to tell you about the benefits that mathematical puzzles bring to children, and what kind of puzzles can be offered to schoolchildren of a certain age to solve.
Why do we need math puzzles for children?
Mathematics is considered the most difficult science, which can cause a student a lot of problems while studying. But without ordinary mental arithmetic skills and various mathematical techniques, it is simply impossible to live normally in the future.
Long and rather complex mathematical classes, especially from 1st to 4th grades, tire children and do not give them the opportunity to properly assimilate the information they hear. If you want to prevent this from happening to your child, encourage him to study mathematics in a playful way, for example, in the form of mathematical puzzles or rebuses.
Many modern schoolchildren love to have fun with computer games or communicate on social networks with classmates in their leisure time. However, today there are those children who do not spend their own time on such toys, but give preference to the development of logic and intelligence.
Currently, the Internet is filled with a variety of sites where you can easily find logical riddles and puzzles. They are intended not only to waste your own time, but also to provide useful, and most importantly, entertaining entertainment. Many parents have already been able to appreciate the benefits of mathematical puzzles, charades, puzzles, and puzzles, since thanks to them their children were able to develop much faster.
Thanks to mathematical puzzles and problems, the child begins to reason more correctly much faster. His mind and logic are formed.
The advantage of math puzzles is that they are not considered ordinary math problems. From the first meeting, they interest children with their original presentation, arouse in children the desire to quickly find the solution to this or that puzzle.
If you and your child begin to regularly find solutions to mathematical puzzles, your child will very soon begin to solve more complex problems without problems, which he could not solve before. Get your child interested in ordinary mathematics, and mathematical puzzles will help you with this.
Mathematical puzzles and riddles are riddles of varying degrees of difficulty, composed using graphic elements. Solving such puzzles is very exciting. In addition, older children with great pleasure can independently compose mathematical puzzles for friends and classmates, which will allow them to better train their own mind and intellect, plus develop logic.
If the puzzles are presented in the form of complex riddles, children have to “rack their brains” a little in order to find the right solution. During this exciting and educational activity, your child will develop non-standard solutions. In the future, this skill will be useful for your child to find possible ways out of various situations.
And most importantly, math problems and puzzles will give your child a lot of positive mood. If he solves such puzzles with friends or with you, he will be able to further socialize and strengthen relationships.
Now let's figure out how to solve mathematical puzzles correctly. Colorful pictures depicting certain objects, numbers, signs and letters constantly arouse “mad” interest in children. But such pictures, as a rule, seem to them to be pure chaos. And all because children do not know how to solve puzzles correctly.
Accordingly, they think that such pictures do not make sense. But this can be easily corrected if you carefully study the main rules for solving these puzzles:
- The names of the pictures that are encrypted are presented in the nominative case only. When you look at a picture of an object, think about what name this image might have. Accordingly, if you see an eye in the picture, then perhaps “eye” will be encrypted in the picture. Never settle on one answer.
- If the picture shows a comma, This means that from a given word it is necessary to remove a specific letter or several at the same time. Everything will depend on where the comma is located: before the image or after it.
- Often in puzzles of this kind there are letters that are underlined. This is very easy to solve. You guess the word in the picture, and then remove the letters that are underlined. If the picture shows underlined numbers, then you need to remove the letters that correspond to the serial number. If there are numbers and letters next to the image that is not underlined, then you need to leave only these letters.
- If the picture has a value B = P, then you need to replace the letters “B” with the letter “P”. If you see this equality 2 = O, then replace the second letter in the word with “O”. There may also be an arrow in the picture, for example, from the first letter to the third, then they just need to be replaced with each other.
- There are pictures that shown upside down. Then read the word from the end.
- There are mathematical puzzles in which there are fraction. They are easy to decipher: you need to insert the preposition “on”. If there is a “2” in the denominator, it means “gender.” In some cases, you may notice that there is a syllable or letter in the inner part of the letter. It is interpreted as follows: for example, if there is “Yes” inside the letter “O”, then this picture means “Water”.
There are other rules that will help you learn to solve complex puzzles or numerical puzzles. But the child should get acquainted with them after he learns to solve simple problems.
Spend your free time with your children more often. Solve puzzles with them, teach them to find solutions to these puzzles, as this has a positive effect on the brain activity of the developing organism.
Mathematical puzzles with answers for 1st grade children: photo, solution, description
If your child starts solving logic problems from the 1st grade, he will quickly develop intelligence, thinking, and the ability to draw correct conclusions and perform analysis. It is this approach to increasing mathematical capabilities that has the greatest positive side for the formation of correct thinking in children.
We all know that a program compiled for school, as a rule, only involves teaching children to solve certain types of problems. Scientists argue that it is more important that a first-grader, from the very first steps of school, be able to learn to think well and reason correctly. They also confirmed that non-standard problems, which need to be solved using ingenuity and a little thinking, very often put those children who are excellent students at school in a difficult situation.
We offer you a large number of mathematical puzzles for schoolchildren. Solve them together with your children, find the right solutions together, relax so that the child finds it interesting.
Numbers that are the same are indicated in the picture by the same elements. Different numbers are different.
The first rebus (see the original source) Think together, what number did the magician decide to turn into a snake?
Solution:
In the first example, the snake and turtle can hide the following pairs of numbers: 0 – 4 or 1 – 3. Now add these numbers. In the first case you will get 4, in the second – also 4.
In the second example of the rebus, only the second combination of numbers is suitable, since if you subtract 2 from 3 you get 1.
Answer: a unit is hidden behind the snake.
Solution:
In the word “bone”, replace “O” with “I”, and remove the last letter altogether. In the second word, replace “I” with “A”.
Combine these two words.
Answer:
Brush.
Solution:
The picture shows a watering can. Before this word put “K”, and remove the last two “K” and “A”.
Answer:
Fourth puzzle:
Solution:
The picture shows a cloud. Place an “R” in front of this word and remove the first letter “T”.
Answer:
Mathematical puzzles with answers for 2nd grade children: photo, solution, description
In 2nd grade the program is more difficult than in 1st grade. The learning process becomes more labor-intensive, so you need to help your child.
Of course, studying is necessary, but the student cannot be overloaded. The curriculum given at school and homework will be enough. There are some schoolchildren who do great at school, but when they come home, they begin to refuse to do their homework.
But you know that children definitely need to repeat the material they have covered at school, learn something new, pick up words that are new to them, develop their own thinking, and so on. Perhaps you think that your child in the 2nd grade has already become more mature, you begin to give him a lot of new information in the form of additional lessons, and then you wonder why your efforts do not produce positive results.
The fact is that your baby gets tired at school, he wants to play a little and have a good rest. A game, for example, mathematical puzzles, will help him with this. There are a large number of such puzzles. But there are parents who make the mistake of choosing an entertaining puzzle that is not age appropriate.
Don't do this either. Carefully study the options for mathematical puzzles that we offer you. They are intended specifically for 2nd grade students.
Solution:
The picture shows a key. Remove the last two letters of this word. And at the end of the word itself put “YK”.
Answer:
Solution:
The picture shows an umbrella. Remove the last two letters from the word. Place a “U” in front of the word and a “R” at the end.
Answer:
Solution:
The picture shows a leaf. Instead of the letter "L" put the letter "A".
Answer:
Mathematical puzzles with answers for 3rd grade children: photo, solution, description
Puzzles that are intended for 3rd grade schoolchildren can be divided into several types. It all depends on the discipline in the school to which these puzzles belong. They can also be divided according to difficulty level.
Teachers have repeatedly proven that mathematical puzzles help students learn the learning process more effectively. They claim that thanks to such puzzles, the child begins to think well and develops creative ability. Math puzzles also help improve your mood in order to study new subjects.
It is very difficult to identify those puzzles that are suitable for a 3rd grade student. We would like to offer you some options that you can solve with your child.
Solution:
The picture shows a rhombus. Remove the last two letters "M" and "B". Put a “K” in front of the word and a “T” at the end.
Answer:
Solution:
The picture shows a house. Remove the first letter "D". Place the letter “L” in front of the word.
Answer:
Solution:
The picture shows an upside down house. This means that the word must be read from the end. Add the letter “A” to the end of the word.
Answer:
Fourth puzzle:
Fourth puzzle Solution:
This version of the mathematical puzzle depicts letters and numbers. You need to do the following: instead of the number 100, write in letters, and then connect all the letters.
Answer:
Mathematical puzzles with answers for 4th grade children: photo, solution, description
Schoolchildren in the 4th grade are already beginning to become familiar with spatial concepts. Children study superficial geometric figures and their simple properties, and gradually begin to make simple drawings, using primitive measuring instruments. It is during this period of time that children begin to form the basis for future learning.
Schoolchildren move on to a more complex science, which will very soon be divided into a couple of courses: the first course is algebra, the second is geometry. Often, in order for students to have a little rest from a difficult lesson, teachers use additional tasks, for example, mathematical puzzles and rebuses. We offer you some of them that you may be able to solve with your child.
Solution:
In the picture you see the word and image of the object “knife”. Instead of the number 100, write the word “hundred”. Remove the first letter from the front of the word “knife”. Connect all the letters.
Answer:
Solution:
The picture shows a mushroom. Remove the first letter from the front of the word. Instead of the letter "I" put the letter "Y". Place “KA” at the end of the word.
Answer:
Solution:
The picture shows a leaf and a goose. In the first word, swap the letters as shown in the picture. In the second word, remove the first three letters. Then try to read what you got.
Answer:
Mathematical puzzles with answers for 5th grade children: photo, solution, description
For students who have already reached 5th grade and above, there are their own complicated mathematical puzzles. Children must work seriously on them to find the correct answer. If this does not happen, the problems simply will not interest the children and then they will not be useful.
For fifth graders we offer you the following puzzles:
Solution:
The picture shows a wasp and a shot. Since we have a fraction here, the solution is this: under the letter “H” there is a wasp. Subtract the last letter from the word “wasp”. And then fold it under + n + os (the last letter is already missing).
Answer:
Solution:
The combination “FOR” is in the letter “A”. The solution is: in + a + for.
Answer:
Mathematical puzzles with answers for 6th grade children: photo, solution, description
In the 6th grade, children are already becoming quite adults. This means that math puzzles also need to be more difficult.
Solution:
The picture shows an upside down mushroom and a wasp. Proceed as follows: read the word “mushroom” backwards. In the same word, replace the letter “G” with the letter “K”. Subtract the first two letters from the word “wasp”. Fold the remaining letters.
Answer:
Solution:
Here, to find a solution, the child will have to think a little. Don't tell him the answer right away. Let your student think about the answer himself, and you listen to what kind of solution he will offer you.
Answer:
Mathematical puzzles with answers for 7th grade children: photo, solution, description
As a rule, in the 7th grade, children begin algebra and geometry. They are already familiar with many geometric figures, their thinking is better developed than that of primary school students. This means that these children need math puzzles with a high degree of difficulty.
The picture shows a combination of letters and numbers. Instead of the number 100, write the word “hundred”. Now connect all the letters. You'll actually have to think a little.
The picture shows the number 7, the letter “K” and a mouth. Write “7” with the word “seven” and subtract the last two letters from it. The mouth is shown upside down. This means you need to read it backwards from the end.
The picture shows a pen with a meter. The comma indicates that you need to remove the last letter from the word “feather”. Everything is very simple. Connect the letters that remain from the word “feather” with the letter “I” and the word “meter”.
Video: Rebus with answers for schoolchildren
Mathematical games puzzles in pictures for schoolchildren of grades 5-7
Klochkova Natalya Konstantinovna, mathematics teacher, Bukharay Secondary School, Bukharay village, Zainsky districtDescription: This work can be used in mathematics lessons in grades 5–7. Solving puzzles can be offered to students when performing mental calculations, and can be offered as didactic material for homework. This work can serve as a guide for extracurricular activities and electives. Solving puzzles develops a child’s intelligence and teaches him to find a way out of difficult situations, which, of course, will be useful in life. By solving puzzles, children replenish their vocabulary, develop attention and imaginative thinking, train visual memory, learn to write correctly and remember new words.
Target: development of intellectual abilities, formation of logical thinking.
Tasks:
Educational: teach students to solve puzzles with a mathematical theme.
Developmental: expand students' horizons in the field of mathematics.
Educational: to cultivate a conscious attitude towards mathematics as an important subject.
Introduction:
A rebus is a puzzle in which a word is encrypted. This word is given in the form of pictures using letters and numbers, as well as certain shapes or objects. Rebus is one of the most interesting puzzles.
The word COMPUTER is encrypted in this picture.
There are certain rules for solving puzzles.
1. A comma at the very beginning of a word indicates that you need to remove the first letter in this word, and a comma at the end means that you need to remove the last letter in the word. Two commas - remove two letters. In the word mosquito we remove the last two letters AP, in the word iron we remove the first letter U and the last letter G.
2. Crossed out numbers indicate that the letters standing in this place are removed. In the word five we remove the second and third letters, that is, YAT. If letters are crossed out, they are also removed from the word.
3. Numbers that are not crossed out indicate that the letters in places 2 and 3 must be swapped. In the word iron, the letters T and Y are swapped YUT. Now we read the word in full.
This picture encrypts the word PERPENDICULAR.
4. If the picture is upside down, then the word guessed using the picture is read from right to left. The word read is not turnip, but aper. The first letter A is removed. In the word stump, the last letter b is removed. The word whale is read backwards. In the word chair, the first two letters ST are removed. The names of all objects depicted in the rebus are read only in the nominative case.
5.An “arrow” or an “equals” sign indicates that one letter must be replaced by another. In our case, in the word tick, the letter T must be replaced with the letter D. Now the word can be read in full.
The word EAST is encrypted in this picture.
6.Letters, words or pictures can be depicted inside other letters, above other letters, under and behind them. Then prepositions are added: IN, ON, ABOVE, UNDER, FOR. Our letter O contains the number STO, so it turns out B-O-STO-K.
The word MAP is encrypted in this picture.
7.The numbers under the picture indicate that from this word you need to take the letters located in places numbered 7,2,4,3,8 and compose them in the order in which the numbers are located. In the word cheesecake you need to take the letters 7-K, 2-A, 4-P, 3-T, 8-A. You can read the word.
Let's try to solve a few puzzles in the field of mathematics.
PROOF
FIVE
TASK
CONE
VERTEX
DIAMETER
DENOMINATOR
LOBACHEVSKY
MINUS
AXIOM
VECTOR
SUBTRACTION
TWO
DIAGONAL
TRIANGLE
RHOMBUS
DEGREE
ADDITION
NUMBER
DOT
STEREOMETRY
All tasks are decorated with bright pictures and interestingly illustrated, so the puzzles will captivate the children. Or you can try and make it yourself. This will be even more interesting.
