당신은 주제를 찾고 있습니까 “move 3 matches to make 4 squares – Try it! Move 3 to make 4 Squares [Easy Matchstick Puzzles]“? 다음 카테고리의 웹사이트 https://ppa.charoenmotorcycles.com 에서 귀하의 모든 질문에 답변해 드립니다: https://ppa.charoenmotorcycles.com/blog/. 바로 아래에서 답을 찾을 수 있습니다. 작성자 Mind Benders 이(가) 작성한 기사에는 조회수 449회 및 좋아요 7개 개의 좋아요가 있습니다.
Solution stage 4: Move 3 matches to make 4 squares from 5 squares: Conclusions by hanging stick and stick move analysis. To be totally clear, the single hanging stick will be created only after the three sticks are moved away from their places in the puzzle figure. It is the NET RESULT BEFORE CREATION OF THE NEW SQUARE …Conclusion 2: The four squares in solution will be independent squares with no common stick between them. A single common stick would have reduced the number of sticks required to 15. 16 matchsticks would be enough to make these four independent squares.
move 3 matches to make 4 squares 주제에 대한 동영상 보기
여기에서 이 주제에 대한 비디오를 시청하십시오. 주의 깊게 살펴보고 읽고 있는 내용에 대한 피드백을 제공하세요!
d여기에서 Try it! Move 3 to make 4 Squares [Easy Matchstick Puzzles] – move 3 matches to make 4 squares 주제에 대한 세부정보를 참조하세요
In this video, we try to solve this simple Matchstick Puzzle, where you are to \”Move 3 Matchsticks to make 4 Squares\”.
move 3 matches to make 4 squares 주제에 대한 자세한 내용은 여기를 참조하세요.
28. Move 3 creating 4 equal sized squares – Matchstick Puzzles
Move 3 creating 4 equal sized squares. Easy, Medium, Hard, Extreme. Move 3 matchsticks to create 4 squares, all equal in size. Show Answer.
Source: matchstickpuzzles.blogspot.com
Date Published: 1/7/2021
View: 9576
MP0258: Move 4 to Have 3 Squares – Matchstick Puzzles!
Move 4 matchsticks to form 3 squares. Show the answer …
Source: matchstickpuzzles.net
Date Published: 7/23/2021
View: 4228
Tricky Matchstick Problem (move 3 matchsticks to get 3 squares)
1. Count the total number of matchsticks available in the problem. · 2. Now for making a square 4 sticks are used so, to form 4 squares 16 sticks …
Source: www.geeksforgeeks.org
Date Published: 1/10/2021
View: 6830
9) Move 4 matches to make 3 squares. – kerchtt.ru
Answer. To get exactly three squares in this problem, you need to move the 2 lower vertical matches to the right and left, respectively, so that they close …
Source: kerchtt.ru
Date Published: 4/2/2021
View: 9277
주제와 관련된 이미지 move 3 matches to make 4 squares
주제와 관련된 더 많은 사진을 참조하십시오 Try it! Move 3 to make 4 Squares [Easy Matchstick Puzzles]. 댓글에서 더 많은 관련 이미지를 보거나 필요한 경우 더 많은 관련 기사를 볼 수 있습니다.
![Try it! Move 3 to make 4 Squares [Easy Matchstick Puzzles]](https://i.ytimg.com/vi/dTNmCpnVHyA/maxresdefault.jpg)
주제에 대한 기사 평가 move 3 matches to make 4 squares
- Author: Mind Benders
- Views: 조회수 449회
- Likes: 좋아요 7개
- Date Published: 2022. 1. 16.
- Video Url link: https://www.youtube.com/watch?v=dTNmCpnVHyA
How many matches are needed to create 4 squares?
Conclusion 2: The four squares in solution will be independent squares with no common stick between them. A single common stick would have reduced the number of sticks required to 15. 16 matchsticks would be enough to make these four independent squares.
How many squares can you make from 3 squares?
By doing this, I was able to split the rectangle in two creating two extra squares. Also, by placing the third square in the middle, I was able to create another two extra squares. Adding the next three squares originally, creating seven squares.
Can you make a square by moving only one pencil?
Solution: Pull 1 crayon back slightly, forming a square in the middle! Want your child to learn some new, fun skills? Sign up for our after school classes!
How can you make the equation true by moving just one matchstick?
Answer To Fix 6 + 4 = 4 By Moving 1 Matchstick
One solution is the equation 0 + 4 = 4, found by rotating the middle stick in the 6 to the right side. Another answer is 8 – 4 = 4, which is found by moving the vertical matchstick in the plus sign to make the 6 into an 8.
How many squares are in the picture answer?
The correct answer to the puzzle is 40 squares. That’s right: It’s not 8, 16, 24, 28 or 30, and we’ll tell you why. The image is made up of eight tiny squares, 18 single squares, nine 2 x 2 squares, four 3 x 3 squares, and one 4 x 4 square.
How many matchsticks make a square?
Complete step-by-step answer:
The first square will need four matchsticks. Consider the figure, the line represents the matchsticks. For the second square take anyone matchstick as the one side of the second square. For the other three sides, three matchsticks are required, and so on.
What does 3 squares mean?
three squares (a day)
The three nutritionally complete meals (in one day), that is, breakfast, lunch, and dinner.
Can you make a square out of 3 triangles?
However, each triangle can either have a corner in its interior (1 point) or two vertices on corners (1 point) for a maximum of 1 point. Three triangles gets at most 3 corner-power points, which is not enough to cover a square.
How do you find the sum of three squares?
If n = x2 + y2 + z2, then 4n = (2x)2 + (2y)2 + (2z)2. So enough to show that if n ≡ 1,2,3,5,6 (mod 8), then n is a sum of three squares.
Move 3 matches to make 4 squares from 5 squares
Move 3 matches to make 4 squares from 5 squares matchstick puzzle
Move 3 matches to make 4 squares from 5 squares in the matchstick puzzle figure.
Every matchstick must be a side in a square in the final solution.
Time to solve 15 minutes.
Comment
Give it a try—it will sure be interesting to solve.
In fact most of the matchstick puzzles, especially the 5 squares puzzles, are fun to solve. This matchstick puzzle is one of the more interesting 5 squares puzzles.
When you are ready, go through our step by step solutions. The puzzle is solved in two different ways.
The basic concept of matchstick puzzles is explained in the next section. To skip it and move straight to the solutions, click here.
Fundamental concept in a figure of geometric shapes made up of matchsticks
The most basic concept that is inherent in any matchstick puzzle of geometric shapes is,
Each stick common to two closed shapes reduces number of sticks to make the two iindependent shapes by 1.
The following figure should make the concept more clear for two squares.
This concept is true for figures made up of matchstick triangles, squares or even regular polygons all of equal sides.
First Solution to the 5 squares matchstick puzzle – Move 3 matches to make 4 squares from 5 squares: By structural analysis and reasoning
Solution stage 1: Initial Problem analysis and Conclusions
For convenience, the puzzle figure is shown again.
First action is to count the total number of sticks. 16 sticks are enough to make 4 squares of equal size with no stick common to two squares. So,
Conclusion 1: The 4 squares in the solution figure must be independent of each other with no common stick between any two squares.
This is the first important conclusion made by analyzing number of sticks required.
Next observation,
Fact: Movement of any single stick from puzzle figure will destroy at least 1 square.
If a common stick is moved, 2 squares will be destroyed with at least 5 sticks not forming any side of a square. This will make solution impossible.
Conclusion 2: Moving any common stick is not an option.
Solution stage 2: Move 3 matches to make 4 squares from 5 squares: Conclusions by analyzing number of squares to be destroyed
From analysis of number of squares,
Conclusion 3: To get 4 squares from 5 squares in 3 stick moves, 2 squares to be destroyed and 1 square to be created.
Reasoning: as common stick move cannot be considered, any of the three stick moves can destroy AT MOST 1 square. Moving only a common stick can destroy 2 squares, isn’t it?
So the critical question arises,
Question: How to destroy 2 squares in 3 stick moves?
Understanding fully how this happens should make the solution clear.
Consider first the fact,
Fact: As moving a common stick is not acceptable, moving 1 stick destroys only 1 or 0 square.
Simple math: Break up of 2 as a sum of three numbers each at most 1: ⇒ 2 = 1 + 1 + 0. The numbers represent number of squares destroyed in 1 stick move.
Translate the result to make an important conclusion,
Conclusion 4: Number of squares destroyed must be: ⇒ 1 square by 1 stick move, 1 square by 1 stick move and 0 square by 1 stick move. In other words, ONLY 1 SQUARE TO BE DESTROYED in 2 stick moves and second square to be destroyed by 3rd stick move.
Not a doubt.
Take a pause now to verify conclusions made.
Solution stage 3: Move 3 sticks to make 4 squares from 5 squares: Conclusions by analyzing creation of single square
In 3 stick moves 2 squares are destroyed till now (just imagine, it is visualization).
How about creating the new square? How can a new square be created using 3 free sticks?
Simplest way to create a new square is,
Conclusion 5: On one already existing side, complete other 3 sides of a square with 3 free sticks moved.
Take a pause again to decide that this is the only way.
So then,
Conclusion 6: The already existing single side must be a hanging stick created in 3 stick moves, isn’t it?
This gives a new clue to the mystery,
Conclusion 7: BEFORE CREATION OF THE NEW SQUARE, one single hanging stick has to be created in 3 stick moves.
Solution stage 4: Move 3 matches to make 4 squares from 5 squares: Conclusions by hanging stick and stick move analysis
To be totally clear, the single hanging stick will be created only after the three sticks are moved away from their places in the puzzle figure. It is the NET RESULT BEFORE CREATION OF THE NEW SQUARE.
Who created this single hanging stick? Which stick move is responsible for this so very helpful result?
This is time to recall result of conclusion 4,
Conclusion 4: ONLY 1 SQUARE TO BE DESTROYED in 2 stick moves and second square to be destroyed by 3rd stick move.
How can 1 square be destroyed in 2 stick moves? Moving what kind of sticks (by placement in figure) would do that?
It is possible only if,
Conclusion 8: The first stick move destroys 1 square and creates 1 hanging stick still attached to the puzzle figure. This second hanging stick from already destroyed square is moved as the second stick.
Think. Is it possible any other way?
At last a clue on what type of 2 sticks would destroy only 1 square when moved,
Conclusion 9: The 2 sticks that will destroy only one square when moved must be two CORNER STICKS OF A SQUARE IN THE PUZZLE FIGURE.
Think. Is it really true?
Thinking in abstraction
Take a pause and realize that all analysis and conclusions till now didn’t refer to OUR PUZZLE FIGURE.
Abstract puzzle specification: All are true for any general matchstick puzzle that needed destruction of 2 squares and creation of 1 new square in 3 stick moves.
Do you agree?
Analysis, conclusions and imagined actions have been on a vague puzzle figure with just the bare minimum description of the Abstract puzzle specification.
Advantages in thinking in abstraction this way are three:
Memory load is less as minimum details analyzed in making conclusions. By generalization, the same concepts can be applied for solving other puzzles with same abstract specification, By generalization, creation and solution of new puzzles becomes possible.
Need to see the puzzle figure now. The squares are labelled for calling them by name.
Two sticks that would have destroyed one and only one square when moved can only be two corner sticks in either square B or D. Isn’t it?
Moving two corner sticks from square A or E would leave a hanging stick that has to be moved next. But where to move the three free sticks?
It’s clear that,
Conclusion 10: The two sticks that destroy 1 square when moved must also leave no hanging stick.
This solves the question of which stick move is responsible for creating the single hanging stick on which new square would be formed,
Conclusion 11: After the first two sticks are moved leaving no hanging stick, the single hanging stick must be created in moving the 3rd stick.
No other alternative.
If the first two sticks from square A were moved,
Conclusion 12: The third stick must be moved from square D. Two choices: the horizontal or the vertical corner stick.
How to create the new square?
It is planned already,
Solution: The three sticks moved will create the new square when placed as three sides with fourth side as the corner stick left hanging in 3rd move.
As the figure is horizontally symmetric, movement of first 2 sticks in two ways will create only 1 rotationally unique solution.
The solution is shown below.
Two sticks from square ‘B’ and lower horizontal stick from square ‘D’ are moved. Both squares A and D are thus destroyed.
Three free sticks with left vertical corner stick of earlier square ‘D’ form the new square ‘F’.
Puzzle solved.
Question: Do you think this is the only solution configuration?
We will answer the question later.
After so much thinking, it is time to solve the puzzle lightning quick in a wholly new way.
Second Solution to the 5 squares matchstick puzzle – Move 3 matches to make 4 squares from 5 squares: by End state analysis approach
In this approach, the main requirement for the solution recalled as,
Conclusion 1: The 4 squares in the solution figure must be independent of each other with no common stick between any two squares.
This was the first conclusion made by number of stick analysis in the first solution.
This is solution requirement specification, a set of binding conditions that the solution must satisfy. In more complex large problems, creation of the solution requirement specification is a major task.
Well, we already have our solution requirement specification.
It is so simple but stringent that all possible solution figures can only be a few.
Each possible solution figure is next compared with the puzzle figure. And the possible solution figure that has GREATEST SIMILARITY with puzzle figure is tested for solution.
Solution by Comparing possible solution figure with puzzle figure
First trial is shown below with puzzle figure on the left and a possible solution figure on the right.
The squares in this possible solution are separated horizontally wide. Only two squares A and C are common between the two when superimposed on each other.
Visual conclusion: no way this solution figure can be created in 3 stick moves from the puzzle figure.
With experience, the MORE COMPACT possible solution figure selected for next trial is shown below,
Three squares ‘A’, ‘C’ and ‘E’ are common between the two figures. This is the greatest similarity possible between puzzle figure and possible solution figure (because with 4 squares common, the puzzle becomes unsolvable).
The possible solution figure is next tested to see whether it can be created moving 3 sticks from the puzzle figure.
It is a simple task at this stage.
No toil, no struggle. It is hard to believe that the puzzle is solved!
This approach gives quickest solution and is one of the most powerful general problem solving approaches.
Question: Which of the two approaches do you like and why? That’s your call.
Number of solutions and solution approaches
Two approaches to reach the same solution figure are described. These are the solution approaches, or ways to the solution.
Question: Any other solution figure?
The answer is yes, of course. If you examine further possibilities, especially the second possibility of moving 1 stick from square ‘D’, you will have the second solution figure immediately.
Instead of selecting the lower horizontal stick of square ‘D’ we would select left vertical stick.
The second solution is shown below.
Check out the second 5 squares matchstick puzzle for more detailed exposure on End state analysis approach.
End note
A habit of solving problems in different ways is good for identifying new possibilities in general.
Lastly, to solve matchstick puzzles you don’t need to know maths or any other subject—you just have to identify key patterns and use your inherent analytical reasoning skills to home in to the solution with confidence and speed.
Do you want to know how to solve difficult problems easily without wasting time on random attempts?
Our new ebook on puzzle solutions by innovative methods will show you just that.
(Universal link for Apple books, Barnes & Noble, Rokuten Kobo, Vivlio, Angus & Robertson, Tolino, PayHip and others)
You will enjoy solving its 50 challenging brain teasers and at the same time boost your power of problem solving from the innovative step by step solutions rich with new ideas.
The general problem solving techniques are collected first time in a separate chapter.
It’s not just solving puzzles. It is also learning innovative problem solving techniques that will change the way you try to solve ANY problem.
You may buy the eBook at Amazon or at Google Play .
Puzzles you may enjoy
Easy to hard brain teasers with systematic solutions
Challenging brain teasers with solutions: Long list.
This will always be the most up-to-date full list with the brain teasers classified into categories that can be browsed separately.
You may also click on the category term link below to enjoy the brain teasers that are classified in the present category.
For example, if the category term link shown below is “Riddle”, click on it to go through all the Riddles.
Move 2 matches to make 4 squares matchstick puzzle
Move 2 matches to make 4 squares matchstick puzzle
Move 2 matches to make 4 squares in the matchstick puzzle figure.
All 4 squares will be of same size with no matchstick hanging. Each matchstick must be a side of a square.
How many solutions can you find?
Recommended time to solve: 20 minutes.
Try. It will be fun.
We will solve the puzzle in two different ways,
First quick solution based on question, analysis and answer to solve finally by End state analysis approach. Solution by direct use of End State analysis approach.
First Solution: Move 2 matches to make 4 squares matchstick puzzle: by Question, analysis and answering technique
Taking a systematic approach, we will raise timely questions, analyze and then make a conclusion.
This process will gradually home in to the solution in least number of steps.
The puzzle figure shown below.
The first step, write down what is known,
5 similar squares make the puzzle figure, 16 matchsticks are used in making the figure, and, In the puzzle figure, 4 matchsticks are common between two squares.
Identification and analysis of common sticks are important in solving matchstick puzzles.
First question that we ask ourselves,
Question 1: What about the final figure? What are its characteristics? How would it look like?
Answer is,
Conclusion 1: Four squares, 1 square less than the puzzle figure, will make the solution figure. The same 16 matchsticks used in the final 4 square figure.
Based on this knowledge the second question follows,
Question 2: When 16 sticks make 5 squares in the puzzle, how can the same 16 sticks will make four squares in the solution? Will there be any common sticks?
If we get a clear answer to this question we would get a good idea about our target figure.
In answer, conclusion is easy,
Conclusion 2: The four squares in solution will be independent squares with no common stick between them. A single common stick would have reduced the number of sticks required to 15. 16 matchsticks would be enough to make these four independent squares.
This is a key pattern discovery.
Common stick concept
The figure below makes common stick concept clear.
On the left 8 matchsticks make two independent squares.
But on the right, when these two have one common stick, 15 matchsticks are enough to make two squares.
The common stick serves the role of a side of BOTH THE SQUARES.
So the next question raised is,
Question 3: How many ways can 16 matchsticks make the four independent squares?
Realization: If UNCONNECTED to each other, four independent squares can be in UNCOUNTABLE formations. Two possibilities are shown in figure below.
This helps to make the next conclusion,
Conclusion 3: The four independent squares must be connected at the corners if they are to be formed by 16 matchsticks of the given puzzle figure. Otherwise, it becomes all uncertainty and there will be no solution.
With this extra condition, it is easy to see that there can only be three possibilities as below.
A vertical line of symmetry is drawn through the centers of three possible final figures as well as the puzzle figure.
This should help understand how far apart the squares are.
Comparing the three final figures with the puzzle figure: Move 2 matches to make 4 squares matchstick puzzle
The Key pattern identified,
In both the possible final figure 1 and 3, one square in each side of the vertical line of symmetry is separated from the line of symmetry by one full square. But in the puzzle figure all the squares are attached to the line of symmetry.
Conclusion 4: These two possible final figures are too much different from the puzzle figure to make in 2 stick moves.
The only possible figure that have to be the solution is the possible final figure 2.
The last question is simply,
Question 3: which two sticks are to be moved to form the solution figure 2 on the middle?
It takes just a brief analysis to identify the two sticks that are to be moved to form the solution figure. Following is the solution.
Now we will use the same End state analysis approach without the reasoning part and knowing how the method is to be used.
2nd Solution: Move 2 matches to make 4 squares matchstick puzzle: By direct application of End state analysis approach
The key pattern and requirement in the final solution figure is,
The given 5 squares are made up of 16 sticks that are just enough for exactly 4 squares. So in the final figure there can’t be any common side between any two squares.
To convert the initial puzzle to this final figure, we will first form possible final figures.
We will then compare each possible final figure with the puzzle figure to know how much similar the two figures are.
Comparison between possible final figures with puzzle figure: Move 2 matches to make 4 squares matchstick puzzle
First trial is shown below with puzzle figure on the left and a possible final figure on the right.
The squares in the first possible final solution are separated wide horizontally.
This figure is very dissimilar with the puzzle figure. In 2 stick moves, no way can we convert the puzzle figure to this possible final figure.
This conclusion is based on visual assessment.
If you place one figure on the other, you would find only the two squares B and D common between the two.
In the second trial, we would make the possible final figure more compact.
It is shown below.
In this case the common squares between the initial and final figure are 3, square A, C and E.
As this figure is similar with the puzzle figure to the greatest extent, it must be the final solution. Greatest similarity ensures least number of stick moves.
It is easy to identify the two sticks to move for creating a new square as shown in the first solution.
This approach gives you the quickest solution. It is one of the most powerful general problem solving approaches.
Number of solutions
Question: is there any more solution figure?
You need to convince yourself that the solution figure in this case is unique.
End note
The two solutions are similar. Both finally uses the same End state analysis approach of comparing possible final solutions with the puzzle figure.
In the first case, a series of question and answer lead to applying End state analysis.
In the second case, End state analysis approach has been applied directly at the start itself.
The method of problem solving by asking a series of questions, analyzing and making conclusions, step by step is a general systematic problem solving approach. Its scope of application is wider than the End state analysis approach. Both approaches are powerful general analytical methods for solving a large number of different types of problems, including real life problems.
These solutions though are quick and elegant with no trial and error, you gain little insight into the puzzle structure or the two stick moves.
In fact, bypassing the details of the problem contributed most towards the elegance and speed of solution.
In contrast, solving this same matchstick puzzle by stick move analysis takes longer, but imparts a thorough knowledge on various aspects of the puzzle. That’s an inevitable trade-off.
Your challenge: Solve the puzzle without using End state analysis approach.
To get an idea of how a similar matchstick puzzle can be solved purely by analysis of the puzzle figure and the solution requirements, go through the first part of the matchstick puzzle,
Matchstick puzzle, 5 squares to 4 squares in 3 moves.
Lastly, to solve matchstick puzzles you don’t need to know maths or any other subject—you have to identify key patterns and use reasoning to reach the solution with confidence and speed.
Do you want to know how to solve difficult problems easily without wasting time on random attempts?
Our new ebook on puzzle solutions by innovative methods will show you just that.
(Universal link for Apple books, Barnes & Noble, Rokuten Kobo, Vivlio, Angus & Robertson, Tolino, PayHip and others)
You will enjoy solving its 50 challenging brain teasers and at the same time boost your power of problem solving from the innovative step by step solutions rich with new ideas.
The general problem solving techniques are collected first time in a separate chapter.
It’s not just solving puzzles. It is also learning innovative problem solving techniques that will change the way you try to solve ANY problem.
You may buy the eBook at Amazon or at Google Play .
Puzzles you may enjoy
Easy to hard brain teasers with systematic solutions
Challenging brain teasers with solutions: Long list.
This will always be the most up-to-date full list with the brain teasers classified into categories that can be browsed separately.
You may also click on the category term link below to enjoy the brain teasers that are classified in the present category.
For example, if the category term link shown below is “Riddle”, click on it to go through all the Riddles.
Matchstick Puzzles: 28. Move 3 creating 4 equal sized squares
~Cape Town, SA~
I’ve always been intrigued by these little sticks with their rounded heads. There are just so many fun things you can do with them…I started collecting matchstick puzzles a long time ago and have decided to display them all on this blog.
Tricky Matchstick Problem (move 3 matchsticks to get 3 squares) – GeeksforGeeks
Puzzle: A matchstick puzzle is given below, move 3 matchsticks to get 3 squares. Give all the possibly unique solutions for the given problem.
Solution:
Let’s discuss a step-by-step solution to arrive at a result.
1. Count the total number of matchsticks available in the problem. In the figure, the total number of matchsticks is equal to 12 as shown below figure.
2. Now for making a square 4 sticks are used so, to form 4 squares 16 sticks would have been used but we have only 12 sticks. Here the concept of sticks common between two adjacent unit shapes comes.
3. Now to make 3 squares 4 * 3 = 12 sticks are required (at max, when sticks are not common between squares). And in this case, 12 matchsticks are available. Now, all we have to do is-
Eliminate all 4 common sticks.
Form 3 independent squares,
By moving just 3 sticks.
4. Concept of promising stick
Interestingly, if any one of the 12 sticks is moved first, at least two common sticks will lose their common properties. In moving any of the four common sticks, immediately 4 free-standing sticks will occur. This is impossible to accomplish in the remaining two moves. Therefore, the first stick move eliminating two common sticks cannot be a common stick.
Eight of the remaining sticks (1, 2, 3, 12, 11, 9, 8, 7) can be moved first, as all 8 sticks share the same position, function, and location within the structure. These are the corner sticks. These are the Promising sticks.
Solution 1: Common stick elimination technique
Number 4 cannot be split into three positive integers with a minimum value of 1. One of the three numbers has to be 2. By applying Reasoning, 4 common sticks can be eliminated in just 3 moves as-
1. Move stick numbered 2 first. This destroys 1 square and eliminates 2 common match sticks.
2. Move stick numbered 3. This results in two free sticks gained, two common sticks eliminated (like 5, 4 are not common sticks now) and 1 square reduced.
3. Move 3rd stick such that it eliminates 2 more common sticks and destroys 1 more square.
Note:
Any of the four sticks numbered 1,7,11,12 belonging to the two squares adjacent to the square destroyed just now cannot be removed as it would eliminate 1 more common stick, destroy 1 more square, however would create two unplaced sticks and the situation could be not possible to manipulate.
The only feasible solution for this step is to select stick 8.
Hence 3 more solutions can be concluded by this method as shown.
Solution 2: If sticks 1,7,12 are considered for movement instead of 2,3,8 in the first solution.
Solution 3: If sticks 1,7,11 are considered for movement instead of 2,3,8 in the first solution.
Solution 4: If sticks 8,9,2 are considered for movement instead of 2,3,8 in the first solution.
Match puzzles. Match puzzles Move 4 matches to make 10 squares
In this section of the site you are presented with a lot of interesting puzzles, tasks, riddles, rebuses, games, logical tasks with matches. They all have answers. To pre-hide all answers, click the Hide Answers button. Subsequently, to get the answer, you need to click on the word “Answer”, located below the task.
Solving puzzles, tasks, riddles with matches develops logic, thinking, visual memory, imaginative thinking.
1) Move one matchstick so that the equality becomes true.
3) Move one matchstick so that the equality becomes true.
4) Move one matchstick so that the equality becomes true. There are two possible answers.
5) Move one matchstick so that the equality becomes true.
6) Remove two matches so that only three squares remain.
7) How to make this equation with Roman numerals correct, while not touching a single match (you can’t touch anything, you can’t blow either).
8) Move one match to make a square.
9) Move 4 matches to make 3 squares.
10) Try to lay out six matches on a flat surface so that each of the matches touches the other five matches.
11) Move one match so that the equality becomes true. In this equation, four and three sticks in a row are equal to four and three, respectively.
12) How can only three matches be placed on a flat surface so that by placing a glass on them, the bottom of the glass will be at a distance of 2,3,4 matches from a flat surface (i.e. matches should be between the bottom of the glass and the surface of the table )?
Answer
Three matches are laid out on the table in the form of a triangle, as seen below in the figure. The larger the triangle, the closer the bottom of the glass will be to the table and vice versa.
13) Move two matches to make four squares.
14) Think about it, is it possible to lift as many as 15 matches with one match? How can I do that?
15) Move 4 matches to make 15 squares.
16) How to make seven triangles with the help of nine matches, the ends of the matches can be fastened with plasticine, i.e. get a 3D model.
Matchstick puzzles have long been used as tasks for the development of logic and. The popularity of such tasks is due to the ease of use and availability of the material from which entertaining geometric and arithmetic figures are composed. You can solve such puzzles at home, at work, on the street or on the road: just find a flat surface for laying out the necessary patterns from matches. Logic games for shifting matches are both simple and complex, so they are suitable for both primary school children (despite the fact that “matches are not a toy for children”) and adults. This page contains interesting tasks with matches of various difficulty levels. For convenience, each task contains an answer and a description of the correct solution, so you can even play online. In addition, at the end of the page there is a link where you can download all the tasks for free.
Rules and walkthrough
The rule of any such puzzle, problem or game is that you need to move one or more matches in such a way that the condition is met. However, it is often not so easy to come to the right decision. To do this, you need to show perseverance, attention and creativity. There are several general rules to ensure that the correct answers when passing match puzzles:
Read the assignment carefully. Find out if there is a catch in it, ambiguous wording. Understand exactly what they want from you. Sometimes the task condition may contain a hint. Almost any task is aimed at logic and ingenuity, so immediately get ready to look for a non-standard solution, which may take some time for you. Note that lists can overlap each other, move in any direction, and also turn over, unless the opposite is given in the condition. Look at the figures more widely. Often in the condition of the problem you are asked to move the match so that you get a certain number of geometric shapes (triangles, squares). Please note that several small figures can make up one large one. For example, four squares placed in 2 rows form 5 squares: 4 small and one large. Try to solve the problem, keeping calm, not trying at all costs to find the answer. Look for the answer consistently, thoughtfully, gradually going through the possible options, trying not to miss the correct answer. Rushing can cause you to miss an answer that you were only one step away from.
Do you like such riddles, games, puzzles and tests? Get access to all interactive materials on the site to develop more efficiently.
Tasks with matches with answers
Below are some examples of popular matchbox problems. I tried to pick up the TOP 9 tasks that go in ascending order of complexity: from the simplest to the most difficult. These tasks are suitable for both children and adults.
To see the solution to the problem, click on the “Answer” button. However, we advise you not to rush and try to solve the puzzle yourself – in this case, you will get real pleasure and good brain training.
1. True equality
Exercise. It is necessary to move only one match in the arithmetic example “8 + 3-4 = 0” laid out with matches so that the correct equality is obtained (signs and numbers can also be changed).
Answer: This classic math matchstick puzzle is solved in multiple ways. As you may have guessed, the matches need to be moved so that other numbers are obtained.
First way. From the eight, we move the lower left match to the middle of zero. It turns out: 9+3-4=8.
The second way. From the number 8 we remove the upper right match and put it on top of the four. As a result, the correct equality is: 6+3-9=0.
The third way. In the number 4, turn the horizontal match vertically and move it to the lower left corner of the four. And again the arithmetic expression is correct: 8+3-11=0.
There are other ways to solve this example in mathematics, for example, with a modification of the sign equals 0+3-4 ≠ 0, 8+3-4 > 0, but this already violates the condition.
2. Expand the fish
Exercise. Rearrange three matches so that the fish swims in the opposite direction. In other words, you need to rotate the fish 180 degrees horizontally.
Answer. To solve the problem, we will move the matches that make up the lower part of the tail and body, as well as the lower fin of our fish. Let’s move 2 matches up, and one to the right, as shown in the diagram. Now the fish swims not to the right, but to the left.
3. Pick up the key
Exercise. In this problem, the shape of the key is folded out of 10 matches. Move 4 matches to make three squares.
Answer. The task is solved quite simply. The four matches that make up that part of the key handle must be moved to the key shaft so that 3 squares are laid out in a row.
4. Field for
Condition. It is necessary to shift 3 matches so as to get exactly 3 squares.
Answer. To get exactly three squares in this problem, you need to move the 2 lower vertical matches to the right and left, respectively, so that they close the side squares. And with the lower central horizontal match you need to close the upper square.
5. Puzzle “glass with a cherry”
Condition. With the help of four matches, the shape of a glass is folded, inside of which there is a cherry. You need to move two matches so that the cherry is outside the glass. It is allowed to change the position of the glass in space, but its shape must remain unchanged.
Answer. The solution to this fairly well-known logical problem with 4 matches is based on the fact that we change the position of the glass by turning it over. The leftmost match goes down to the right, and the horizontal one moves to the right by half its length.
6. Five out of nine
Condition. In front of you are nine small squares formed by twenty-four matches. Remove 8 matches without touching the rest, so that only 2 squares remain.
Answer. For this task, I found 2 ways to solve.
First way. Remove the matches so that only the largest square, formed by the outer matches, and the smallest square in the center, consisting of four matches, remain.
The second way. Also leave the largest square of 12 matches, as well as a square of 2 by 2 matches. At the last square, 2 sides should be formed by matches of a large square, and the other 2 sides should be in the center.
7. Matches touching each other
Exercise. It is necessary to place 6 matches so that each match is in contact with the other five.
Answer. This task requires connecting your creative abilities, and going beyond the plane – after all, matches can be placed on top of each other. The correct solution looks like this. In the diagram, all the matches are really in contact with each other. I want to note that drawing such a figure online is much easier than laying out real matches like this.
8. Seven squares
Condition. Move 2 matches to form 7 squares.
Answer. To solve this rather complex problem, you need to think outside the box. We take any 2 matches that form the corner of the largest outer square and put them crosswise on top of each other in one of the small squares. So we get 3 squares 1 by 1 match and 4 squares with sides half the match.
9. Leave 1 triangle
Exercise. Move 1 matchstick so that instead of 9 triangles there is only one.
Decision. This puzzle is not solved in the standard way. To solve the problem, you need to contrive a little (again use your own). We need to get rid of the cross in the middle. We take the lower match of the cross so that it raises the upper one at the same time. We rotate the cross by 45 degrees so that it forms not triangles in the center of the house, but squares.
It is worth noting that it is very difficult to solve this problem online behind a computer screen. But if you take real matches, then the puzzle is solved much easier.
Download
If you do not have time to solve puzzles with matches on our website, you can download all the tasks in the form of a presentation in one, which can be viewed on devices without Internet access or simply printed on several A-4 sheets.
You can download all tasks with matches by.
Play
Despite the fact that matchstick puzzles are a great way to test your wit, they are less and less used every year. It can be said that the less popular matches become (which are replaced by more modern means of making fire), the faster match games and puzzles lose popularity.
However, recently they are beginning to gain their former popularity thanks to the Internet and online games. You can play several.
From pichka – inexhaustible material for compiling puzzles that contribute to the development of imagination, logical thinking and give real pleasure to all participants in the game, young and old. Similar logic games appeared in ancient China about three millennia ago. The role of matches was then played by small bamboo sticks. Then interest in puzzles made of sticks or matches faded away, then arose again. In the 19th and 20th centuries, several collections of puzzles from matches and toothpicks by different authors were printed in different countries, which contributed to the outbreaks of interest in this activity.
In addition to logic and fantasy, a passion for matchstick puzzles will help develop perseverance and attentiveness in a child. The interest of children in matches as a means for compiling and solving logical problems will allow them to forget about their direct purpose.
11 matchstick puzzles with solutions
The problems proposed below are of different levels of complexity and may have other solutions. Try to do the same with your own problems.
Task #1:
a) How to take out 8 matches and get 4 equal squares (has 2 solutions).
b) How to take out 6 matches and get 3 equal squares.
c) How to take out 6 matches and get 2 squares and 2 identical hexagons.
d) How to take out 4 matches and get 1 large square and four identical small ones.
Task #2:
a) Move 4 matches to another place and get 3 equal squares.
b) Move 3 matches and also get 3 equal squares.
Task #3:
Move 3 matches and get 7 equal squares.
Task #4:
a) Move 2 matches and get 7 equal squares.
b) Remove 2 matches from the resulting figure and get 5 equal squares.
Task number 5:
Move 6 matches and get two squares of different sizes.
Task number 6:
Move 6 matches and get 6 equal rectangles.
Task number 7:
Take out 5 matches and get 5 triangles (2 solutions).
Task number 8:
Move 4 matches and get 3 squares.
Task number 9:
Move 5 matches to balance the scales.
Task number 10:
Move 6 matches and get 6 symmetrical identical quadrangles.
Task number 11:
Add two matches to three and you get eight.
We have all tried to solve puzzles with moving matches. Remember those? Simple, clear and quite interesting. We invite you to remember how this is done and solve these 10 exciting tasks. There will be no examples and math here, you can try to think over them together with the children. Each riddle comes with an answer. Here we go? 😉
1. Expand the fish
Exercise. Rearrange three matches so that the fish swims in the opposite direction. In other words, you need to rotate the fish 180 degrees horizontally.
Answer. To solve the problem, it is necessary to move the matches that make up the lower part of the tail and body, as well as the lower fin of the fish. Let’s move 2 matches up, and one to the right, as shown in the diagram. Now the fish swims not to the right, but to the left.
2. Pick up the key
Exercise. In this problem, the shape of the key is composed of 10 matches. Move 4 matches to make three squares.
Answer. The task is solved quite simply. Four matches that form that part of the key handle must be moved to the key stem so that 3 squares are laid out in a row.
3. A glass with a cherry
Exercise. With the help of four matches, the shape of a glass is folded, inside of which there is a cherry. You need to move two matches so that the cherry is outside the glass. It is allowed to change the position of the glass in space, but its shape must remain unchanged.
Answer. The solution to this fairly well-known logical problem with 4 matches is based on the fact that we change the position of the glass by turning it over. The leftmost match goes down to the right, and the horizontal one moves to the right by half its length.
4. Seven squares
Exercise. Move 2 matches to form 7 squares.
Answer. To solve this rather complex problem, you need to think outside the box. We take any 2 matches that form the corner of the largest outer square and put them crosswise on top of each other in one of the small squares. So we get 3 squares 1 by 1 match and 4 squares with sides half the match.
5. Hexagonal star
Exercise. You see a star consisting of 2 large triangles and 6 small ones. By moving 2 matches, make sure that 6 triangles remain in the star.
Answer. Move the matches according to this scheme, and there will be 6 triangles.
6. Cheerful calf
Exercise. Move only two matches so that the calf is facing the other way. At the same time, he should remain cheerful, that is, his tail should remain directed upwards.
Answer. In order to look in the other direction, the calf simply needs to turn its head.
7. House of glasses
Exercise. Rearrange six matches so that two glasses make a house.
Answer. From the two extreme matches of each glass, you get a roof and a wall, and you just need to move the two matches at the bases of the glasses.
8. Libra
Exercise. The scales are made up of nine matches and are not in a state of equilibrium. It is required to shift five matches into them so that the scales are in balance.
Answer. Lower the right side of the scale so that it is level with the left. The match-base of the right side must remain motionless.
9. Arrow
Exercise. Move 3 matches so that the arrow changes its direction to the opposite.
Answer. To solve this problem, you will need to move the three bottom matches of the arrow up.
10. House
Exercise. Move one match so that instead of 9 triangles there is only one.
Answer. It is necessary to turn the lower diagonal match, the second diagonal match turns with it, because. lies on top.
In this article, you have collected the best puzzles with matches. The presented puzzles are completely heterogeneous – here you will find all levels of difficulty: from the beginning “detective” to the real genius. Dare!
Many people are very fond of tasks that develop creative and logical thinking. Many puzzles have been invented, but tasks with matches stand out from the general list, not least because the material for them is always available to everyone. A box of matches takes up very little space, which means that they can be used not only at home, but also on the train, on the street or at work. All you need to practice is a smooth, level surface and enough space to lay out some matches. That is, quite a bit. And everyone can choose the complexity of the puzzles to their liking. Everyone knows that children should not play with matches, especially in the absence of adults, but our puzzle games are quite safe: the simplest of them will captivate younger students, and older people will be happy to solve more difficult problems.
If you have difficulty solving a particular puzzle. But do not rush to look into the answers, although they are also here. After all, you deprive yourself of the pleasure of finding the right solution on your own. You can even download the tasks you like from the link that you will find at the bottom of this page.
Rules and help in passing
Match puzzles with answers
Rules and help in passing
There are only two main rules. The first can be described in two words – shift the matches. The second rule is that matches should never be broken, but only moved and rotated. Agree, the rules look pretty simple. But in reality, fulfilling the condition set in the puzzle is not always easy. The ability to think outside the box, as well as attention and perseverance, will help a lot here. Attention will help in studying the conditions of the problem – it can hide a catch. Sometimes, to understand what exactly is required of you, you need to rack your brains a lot. It should be noted that often the key to the solution is hidden in the condition itself.
Wits and logic will help you find a non-standard solution, maybe not immediately. Matches are allowed to be placed on top of each other, moved in any direction or turned over.
Don’t take the figures literally. Often there are problems with geometric shapes, where you need to move one or more matches so that you get the specified number of shapes. At the same time, several small figures can hide a large one in themselves. For example, if you see 4 squares arranged in two rows, do not rush to say that there are 4 of them – in fact, the sides of the squares also form a fifth.
Trying to solve the puzzle as quickly as possible can lead to mistakes, so take your time and try to calculate all the options, getting closer to the correct answer. That is what perseverance and calmness are needed here for.
Puzzles with matches (with answers)
Below you will find a series of the most popular puzzles. This is a kind of Top-9 tasks of varying complexity. The difficulty of solutions increases from simple to complex problems. Everyone will like these tasks – both children and adults.
To compare your solution with the one proposed here, click on the “Answer” button. But do not rush to give up and peep – otherwise you will deprive yourself of the pleasure of solving the problem, as well as a wonderful workout for the brain.
1. True equality
Exercise. Move one matchstick so that the arithmetic equation “8 + 3-4 = 0” becomes true. It is allowed to change both numbers and signs.
There are several ways to solve the puzzle, so matches and ingenuity will help you …
First way: We turn the four into eleven by moving the horizontal match to the left and down and turning it 90 degrees. And now our equality looks like this: 8+3-11=0.
Second way: We remove the upper right match from the eight and move it to the very top of the four. Equality turns into 6+3-9=0, which means it’s true again.
Third way: Let’s turn the eight into a nine, and from zero we will make an eight. We get: 9+3-4=8. Equality has become true.
There are other non-standard solutions to this puzzle, where the changes are no longer numbers, but the “=” sign, for example 0 + 3-4? 0 (we break the match in several places!), 8 + 3-4 > 0, but this will no longer be an equality, which means it violates the condition of the assignment.
2. Expand the fish
The task is this: you need to shift 3 matches in such a way that the fish begins to swim in the opposite direction. In other words, you need to rotate the fish 180 degrees horizontally.
Answer: We move two matches, which represent the lower parts of the body and tail up and one match from the lower fin to the right. This is clearly visible on the diagram. Now our fish swam back.
3. Pick up the key
Exercise. 10 matches are laid out so that they form the shape of a key. You need to move four matches so that you get a “castle” consisting of three squares.
Answer: Finding a solution is easier than it looks at first glance. The matches that make up the head of the key are shifted to the base of the rod. Thus, we get three squares laid out in a row.
4. Tic-tac-toe field
Exercise. Move three matches so that the playing field turns into three squares.
Answer: We move the two lower matches to the left and right one row higher. Thus, they closed side squares. The lower central match moves up, closing the upper figure and the given three squares are obtained.
5. Task “Glass with a cherry”
Exercise. Four matches form the shape of a glass with a cherry in it. Move only two matches so that the berry is outside the glass. It is allowed to change the position of the glass, but it is not allowed to change its shape.
Answer: To find the solution to this puzzle, it is enough to remember that we have the right to change the location of the glass in space. So, we just need to turn the glass upside down. We move the leftmost match down and to the right, and the horizontal match moves half its length to the right.
6. Two out of nine
Exercise. You have twenty-four matches laid out so that they form nine small squares. It is necessary to remove eight matches so that the number of squares is reduced to two. The rest of the matches cannot be touched or moved.
I found 2 solutions to this puzzle.
First way: We remove the matches around the center of the square, leaving a large square, which is formed by the extreme matches and one small square in the center.
Second way: We leave a large square consisting of twelve matches and a square with sides 2 by 2 matches adjacent to the sides of the large square.
Maybe there are other ways. Can you find them?
7. Touching matches
Condition. Arrange 6 matches in such a way that each of them touches the other five.
Answer: You will need creative thinking to solve the puzzle. Matches are allowed to be placed on top of each other, which means that you will have to look for a solution outside the plane. The correct solution is illustrated in the diagram. You can see that all the matches are actually touching each other. I confess that drawing this diagram was much easier than arranging the matches in reality.
8. Seven squares
Exercise. Move only two matches in such a way as to get seven squares.
Answer: The task is rather complicated and for its solution it is necessary to deviate from stereotyped thoughts. Take any two matches that make up the corner of the large outer square and place them crosswise in any of the small squares. We get 3 squares with sides 1 by 1 matches and 4 squares with sides in half a match.
9. Leave one triangle.
Condition. Move one matchstick so that the number of triangles decreases from 9 to 1.
You will have to rack your brains over the solution, as it requires a non-standard approach and creative thinking.
Answer: We need to come up with something with a cross in the middle. Take the lower match of this cross so that it simultaneously raises the top one. We rotate this cross by 45 degrees so that in the center we get not triangles, but squares. I note that with real matches this task is much easier to solve than on a computer.
Play online
Match puzzles are a great way to have a good time and train your wits. And this can be done both alone and in a company. But despite this, they are used less and less. Perhaps this is due to the fact that more modern ways to make fire are becoming increasingly popular – gas and electric lighters, stoves equipped with electric ignition and do not require additional funds to turn on the burners. Therefore, the matches themselves are increasingly losing their indispensability.
But thanks to the development of the Internet, match puzzles are returning to their former glory.
키워드에 대한 정보 move 3 matches to make 4 squares
다음은 Bing에서 move 3 matches to make 4 squares 주제에 대한 검색 결과입니다. 필요한 경우 더 읽을 수 있습니다.
이 기사는 인터넷의 다양한 출처에서 편집되었습니다. 이 기사가 유용했기를 바랍니다. 이 기사가 유용하다고 생각되면 공유하십시오. 매우 감사합니다!
사람들이 주제에 대해 자주 검색하는 키워드 Try it! Move 3 to make 4 Squares [Easy Matchstick Puzzles]
- 동영상
- 공유
- 카메라폰
- 동영상폰
- 무료
- 올리기
Try #it! #Move #3 #to #make #4 #Squares #[Easy #Matchstick #Puzzles]
YouTube에서 move 3 matches to make 4 squares 주제의 다른 동영상 보기
주제에 대한 기사를 시청해 주셔서 감사합니다 Try it! Move 3 to make 4 Squares [Easy Matchstick Puzzles] | move 3 matches to make 4 squares, 이 기사가 유용하다고 생각되면 공유하십시오, 매우 감사합니다.
