by Tiwari Academy
NCERT Solutions for Class 4 Maths Mela Chapter 11 Fun with Symmetry and Math-Magic Chapter 11 Tables and Shares for Session 2025-26. It explains the concept of symmetry through simple activities and real-life examples. This chapter helps students understand lines of symmetry, mirror images, paper folding, patterns and symmetry in nature like leaves and butterflies. Class 4 Maths Mela NCERT Solutions are written in easy language, step-by-step format and are useful for classwork, homework, revision and exam preparation, making learning math engaging, interactive and conceptually strong for young learners.
Class 4 Maths Mela Chapter 11 MCQ
Class 4 Math Magic Chapter 11 MCQ
Chapter 11 Tables and Shares Solutions
Key Concepts and Practice Questions from Chapter 11
Page 164
Let Us Do
1. Ink Design
Is it a symmetrical pattern?
Where would you draw the line that divides this design into two equal halves?
Answer:
Yes, it is a symmetrical pattern.
Reason:
When the paper is folded and colour is spread, the design on one side becomes a mirror image of the other side after opening. Both sides look the same in shape and size.
Line of symmetry: We can draw a vertical line through the centre of the design, along the fold line of the paper.
This line divides the design into two equal and identical halves. The design has one line of symmetry, which is the vertical line at the centre.
2. Making a paper airplane
Follow the steps.
a) Mark the line of symmetry in Fig. 3, Fig. 4, and Fig. 5.
Answer:
b) How many lines of symmetry can you see in Fig. 8?
Answer:
One line of symmetry.
c) Where will you place a mirror to see the reflection of the right half side of Fig. 8? Will it look the same as the left half side?
Answer:
Place the mirror along the vertical line of symmetry down the middle of the plane. Yes, the reflection of the right half will look the same as the left half if the plane is perfectly symmetrical.
d) Fly the plane.
Answer:
Do this activity yourself.
e) Will the plane fly if there is no line of symmetry?
Answer:
If a paper airplane has no line of symmetry, it won’t fly straight. It will tend to curve or spin toward the larger side.
f) Try to make an asymmetrical plane.
Answer:
I have made an asymmetrical plane by folding one wing bigger than the other. Now the plane has no line of symmetry.
g) Fly both the planes and see which plane flies for aย longer time.
Answer:
The symmetrical plane flies straighter and longer.
The asymmetrical plane flies for a shorter time and may move sideways or fall early.
h) Share your observations with your friends.
Answer:
I observed that the plane with a line of symmetry flew straight and stayed in the air longer. The asymmetrical plane did not fly well and fell quickly. So, symmetry helps a plane fly better.
Page 166
3. Holes and Cuts
Challenge 1: Where would the hole and cut appear when you open the paper?
Answer:
When Rani’s paper is opened, the straight cut at the corner will create a V-shaped notch in the middle of one edge.
One square cut become a rectangle and the other one will appear as two squares, symmetrically placed on the paper.
Challenge 2: Fold a piece of paper once; put two cuts in the middle as shown. How many sides will this shape have when you open the folded paper?
Answer:
When opened, a rhombus will appear.
Challenge 3: Fold a paper twice. Where would you cut to make a square hole in the center of the paper? How many cuts are required?
Answer:
To make a square hole in the center, I would need to cut a square at the point where all folds intersect. I need only 1 cut to create a square hole in the center.
4. Complete the designs below.
Answer:
Page 167
Let Us Do
Symmetry in shapes
1.Look at the shapes given along the border. Draw these shapes on the dot grid. Which of the shapes are symmetrical? Draw the lines of the symmetry.
Answer:
2. Games with a Mirror
a) Where should we place the mirror in shape A to get the shapes given below?
Answer:
b) Circle the numbers whose mirror image is the same number:
Answer:
Which digits from 0 to 9 have the same mirror image? ___________________
Answer:
The digits that have the same mirror image are 0, 1 and 8.
Make some 4-digit numbers such that the mirror image is the same number. Where would you keep the mirror in each case? How many such numbers can you make?
Answer:
Some correct examples are 1001, 1111, 1881, 8008, 8118, …
All these look the same when a mirror is placed vertically in the middle or horizontally below the number.
The mirror should be kept vertically between the 2nd and 3rd digit. We can place mirror below the number also.
I can make many such numbers, because:
โบ The 1st and 4th digits must be the same.
โบ The 2nd and 3rd digits must be the same.
โบ I can choose from 0, 1 and 8.
So, there several such mirror numbers.
c) Make similar questions and ask your friends to guess the numbers.
Answer:
Guess My Number โ Question 1
My number is a 4-digit number.
Its mirror image is the same as the number.
All digits are the same.
Guess my number. (1111).
Guess My Number โ Question 2
My number is a 4-digit number.
The first and last digits are 8.
The middle digits are 0.
Its mirror image looks the same.
Guess my number. (8008).
Guess My Number โ Question 3
My number is a 4-digit number.
It uses only 0, 1 and 8.
The middle two digits are 8.
Guess my number. (1881)
3.ย What do you notice about the letters written on the ambulance? Why are they written this way? Discuss.
Answer:
The word AMBULANCE is written in reverse (mirror image) on the front of the ambulance.
It is written this way so that when drivers in front look at it through their rear-view mirror, the word appears correct and readable. This helps them quickly recognise the ambulance and give way without confusion.
Writing the word in mirror image saves time and can help in emergencies, as people can immediately understand that an ambulance is coming.
Can you identify these words? Where will you place the mirror to read the following words correctly?
Answer:
Now, you try to write some words/names in this way and challenge your friends to guess them.
Can you also try doing this with the script of your own language?
Answer:
Place a vertical mirror on the right to read them correctly:
ฦVOL โ LOVE
ฦMะI โ INME
ฦฦIะ โ NICE
ฦะO โ ONE
ฦะIL โ LINE
4. Complete the following to make symmetrical shapes.
Answer:
5. Observe the shapes. How many sides does each shape have?
Answer:
Number of sides in each shapes are given below:
How many lines of symmetry does each shape have? You may trace these shapes and check the lines of symmetry by folding the shapes.
Answer:
Page 170
Tiling the Tiles
Here are some patterns with tiles. Identify the repeating unit (tile) and continue the patterns.
Answer:
Page 171
Tiles at the Tile Shop
Babluย Chacha makes beautiful tiles of the kinds shown below. Design creative tiles of your own in the spaces given below. You may use a rangometry kit or shape cutouts.
Answer:
1. Which shapes have you used to make the tiles?
Answer:
The tiles are made from basic geometric shapes, mainly Triangles (especially equilateral and right-angled triangles), Squares, Rhombuses (diamond shapes), Hexagons. Many of the colourful tiles are created by joining identical triangles together in different arrangements.
2. Which of the tiles are symmetrical? Draw the lines of symmetry (if any).
Answer:
3. Make more tiles by joining two or more shapes.
Answer:
4. Look at the following shapes. What do you notice?
Answer:
We notice:
โบ Both designs are made using the same shape repeated many times.
โบ The shapes fit together without any gaps or overlaps.
โบ The arrangement is the same, but the colours are different.
โบ Because of the colour change, the two designs look different, even though their pattern is similar.
โบ The designs show a repeating pattern, like tiles on a floor.
Discussion: Even when we use the same shapes, changing their colours or positions can create different-looking designs. Because I notice that both designs use the same shapes arranged in the same way. Only the colours are different. The shapes cover the surface without gaps or overlaps, forming a repeating pattern.
Symmetry in Patterns and Tile Designs in Class 4 Maths Mela
Page 172
Let Us Do
1.ย Make floor patterns with your tile. Mini has made a floor pattern as shown below. Remember there should be no overlaps and no gaps.
Answer:
2. Making a catty wall!
Create more of these tiles. Some ideas to make creative wall patterns are given below.
Answer:
3. Let us go on a nature walk (Project time)
Go for a nature walk to a nearby park or around your school with your teacher or your parents. Observe the patterns, designs, or symmetry around you carefully. Collect leaves, petals, and flowers that have fallen on the ground.
In your project file:
โข Categorise the leaves into symmetrical and non-symmetrical.
โข Make different designs and patterns with leaves and flowers.
โข Make a greeting card using imprints of leaves or dry flowers.
โข Create animals or designs using leaves and flowers.
Answer:
I went for a nature walk to a nearby park with my parents. I carefully observed leaves, flowers and butterflies around me. I noticed that many leaves and butterflies are symmetrical because both sides look the same when we fold them from the middle.
In my project file, I did the following work:
โบ I collected leaves and divided them into symmetrical and non-symmetrical leaves.
โบ I made different designs and patterns by arranging leaves and flowers.
โบ I made a greeting card using leaf and dry flower imprints.
โบ I also created animals and designs using leaves and flowers.
This activity was fun and interesting and helped me understand symmetry in nature.
App for Class 4 Books
Class 4 NCERT Maths Chapter 11 Goal of the Chapter
You Have studied the multiplication and other methods of calculations in the previous chapters and maybe some of you have already mastered it as you have implemented It in the divide method also. Now in this chapter, multiplication will be taught to you. Not in a way where you will be asked to read and memorize it but to create one yourself in a different way.
In the previous chapter, you have seen how the girl and boy created a ladder of number two and then counted as if it was the table of number two and then you have tried to create yourself with different one This chapter will teach you how to make the table while learning and in the different way. So that you can open your creative minds to make fun with Maths.
CBSE Class 4 NCERT Maths Chapter 11 Concept of Multiplication
The concept of multiplication can be related to the arrangement of things in an array. Some other problems, based on contexts like the arrangement of chairs, children in the school assembly, etc., can also be discussed.
Class 4 NCERT Maths Chapter 11 Idea for Solutions
How many times in the school or in the classroom have you practiced to make some changes yourself so that you can use that idea to find solutions for your questions? Such a question can actually help you in Mathematics. Not only has this, because in this chapter you will find several questions that required your present mindfulness so that you can complete the exercise without making pressure on reading.
4th Standard NCERT Maths Chapter 11 Multiplication with the help of Array
The chapter has a few of the stories in the below sections which are a great way for you to complete and revise the studies you have done. Sea shell and Ganguโs sweets are some of the topics in the chapter because we have already asked you to learn how to use your money.
Once you complete this chapter you will also learn how to use the money effectively. Moreover, I like the way the story is being explained and the Gangu’s is facing trouble counting the sweets.
Class 4 Maths Textbook Chapter 11 Multiplication with Addition and Subtraction
How many times till now after reading these chapters you have actually tried to implement the method of multiplying? None? Itโs okay in the topic given below will teach you the interactive way to that and then you shall need a pen and paper so that you can calculate it.
Later you can master it and do it yourself this method you can use it for really long time as this method will require you to have multiplication knowledge as well as the knowledge of addition and subtraction check the chapter for the more details.
FAQs on Class 4 Maths Mela Chapter 11 Fun with Symmetry
Is Class 4 Maths Mela Chapter 11 easy for students?
Yes, Class 4 Maths Mela Chapter 11 โ Fun with Symmetry is generally considered easy and enjoyable for students. The chapter focuses more on understanding concepts through activities rather than memorising formulas. Students learn symmetry using paper folding, mirror images, patterns, tiles and examples from nature like leaves and butterflies. These activities help children learn visually and practically, which reduces fear of Maths. Since most questions are observation-based, students find them interesting and less stressful. With regular practice and simple explanations, even average learners can understand the chapter well. Overall, the chapter builds confidence and makes Maths fun rather than difficult.
How can students solve Class 4 Maths Mela Chapter 11 easily?
To solve Class 4 Maths Mela Chapter 11 easily, students should first understand the idea of symmetry using real objects. Folding paper, using a mirror and drawing shapes help in visual learning. Students should carefully observe whether both halves of a shape look the same. Practising activities like completing symmetrical designs, identifying mirror image numbers and recognising symmetry in patterns makes the concepts clear. Reading NCERT questions slowly and attempting drawings neatly is also important. Parents and teachers can encourage children to explore symmetry in daily life, such as doors, windows, leaves and rangoli designs, to strengthen understanding.
Which is the best and most interesting topic in Class 4 Maths Mela Chapter 11?
Many students find paper airplane activities and mirror games the most interesting topics in Class 4 Maths Mela Chapter 11. Making a paper airplane and checking how symmetry affects its flight makes learning exciting and practical. Mirror image numbers and ambulance word activities also attract students because they connect Maths with real-life situations. The nature walk project is another favourite topic, as children get to explore symmetry outside the classroom. These topics are considered the best because they combine creativity, observation and hands-on learning, helping students remember concepts easily and enjoy Maths at the same time.
Why is Class 4 Maths Mela Chapter 11 important for exams?
Class 4 Maths Mela Chapter 11 is important for exams because it builds strong conceptual understanding rather than rote learning. Questions from this chapter often test observation skills, logical thinking and the ability to identify symmetry. Students may be asked to draw lines of symmetry, complete patterns, identify mirror images, or explain activities in simple words. These types of questions help teachers assess whether students truly understand the concept. Since symmetry is also used in higher classes, learning it properly in Class 4 creates a strong foundation for future Maths topics.
Are NCERT Solutions enough for Class 4 Maths Mela Chapter 11 preparation?
Yes, NCERT Solutions are sufficient for Class 4 Maths Mela Chapter 11 preparation if they are studied properly. The NCERT textbook covers all concepts through activities, illustrations and practice questions. NCERT Solutions explain each question step by step in simple language, which helps students understand how to approach answers. Regular practice of textbook questions, drawing neat figures and revising activities is usually enough to score well in exams. However, students can also try extra practice by observing symmetry around them to strengthen understanding further.
How does Class 4 Maths Mela Chapter 11 help students in daily life?
Class 4 Maths Mela Chapter 11 helps students understand how Maths exists in daily life. Symmetry can be seen in buildings, windows, doors, rangoli designs, flowers, leaves, butterflies and even vehicles. The chapter teaches children to observe their surroundings more carefully. Activities like tile patterns and nature walks develop creativity and observation skills. Understanding symmetry also improves drawing, design sense and logical thinking. By connecting Maths with real-world examples, the chapter makes learning meaningful and shows students that Maths is not just about numbers but also about patterns and balance in everyday life.
