Class 4 Maths Mela Chapter 11 Fun With Symmetry NCERT Solutions

Updated for session 2025-26, Class 4 Maths Mela Chapter 11 Fun With Symmetry NCERT Solutions are the best resource for the students seeking some help with Chapter 11 Fun With Symmetry.

Class 4 Maths Mela Chapter 11 Fun With Symmetry NCERT Solutions – PDF Download

Let Us Do (Page 164 – 167)

1. Ink Design
Step 1: Take a sheet of paper and fold it in half.

Step 2: Open it and sprinkle some drops of water colours in the centre of the fold.
Step 3: Press it to spread the colour evenly.

Step 4: Look what you made!
Is it a symmetrical pattern?
Where would you draw the line that divides this design into two equal halves?
Solution:
Yes, it is a symmetrical figure.
The line would be drawn along the crease of the fold to divide the design into two equal halves.

2. Making a paper airplane.
Follow the steps.

a) Mark the line of symmetry in Fig. 3, Fig. 4, and Fig. 5.
Solution:

b) How many lines of symmetry can you see in Fig.8?
Solution:
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?
Solution:
We will place the mirror along the line of symmetry to see the reflection of the right half side. Yes, it will look the same as the left half side.

d) Fly the plane.
e) Will the plane fly if there is no line of symmetry?
Solution:
No, the plane will not fly if there is no line of symmetry.

f) Try to make an asymmetrical plane.
g) Fly both the planes and see which plane flies for a longer time.
Solution:
A symmetrical plane will fly for a longer time than an asymmetrical plane.

3. Holes and Cuts
Mini has made this design by folding and cutting paper.

Now it’s your turn! Take a square sheet of paper. Do as instructed below.
Let us see what Rani is making. Rani takes a piece of paper and folds it twice.

She makes a straight cut at the corner and cuts out two squares on two sides as shown in the picture.

Challenge 1: Where would the hole and cut appear when you open the paper?

Solution:

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?

Solution:

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?

Solution:
We need to cut a square at the folded corner to make a square hole in the center of the paper. Two cuts are required to make such a hole.

4. Complete the designs below

Solution:
Do it yourself.

Let Us Do (Page 167 – 170)

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 symmetry.

Solution:
All shapes are symmetrical.

2. Game with a Mirror
(a) Where should we place the mirror in shape A to get shapes given below?

Solution:

b. Circle the numbers whose mirror image is the same number.

Solution:

Q. Which digits from 0 to 9 have the same mirror image?
Solution:
Digits 0, 1, and 8.

Q. 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?
Solution:
All such 4-digit numbers are 1111, 8888, 1001, 8008, 1881, and 8118. There are 6 such numbers. We need to place the mirror vertically between the 2nd and 3rd digits of each number.

(c) Make similar questions and ask your friends to guess the numbers.
Solution:
Do it yourself.

3. What do you notice about the letters written on the ambulance? Why are they written this way? Discuss.
Solution:
The word ‘AMBULANCE’ is written in reverse as ‘ECNALUBMA’ on the front of the vehicle. This helps drivers in front read it correctly in their rear-view mirrors and give way to the ambulance quickly.

Q. Can you guess what I have written? Where did I keep the mirror?

Solution:
The word is ‘CAT’. The mirror was kept horizontally below the given word.

Q. Can you identify these words? Where will you place the mirror to read the following words correctly?

Solution:

Q. 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?
Solution:
Do it yourself.

4. Complete the following to make symmetrical shapes.

Solution:

5. Observe the shapes. How many sides does each shape have? How many lines of symmetry does each shape have? You may trace these shapes and check the lines of symmetry by folding the shapes.

Solution:

Tiles at the Tile Shop (Page 171 – 172)

Q. Bablu 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.

1. Which shapes have you used to make the tiles?
Solution:
Do it yourself.

2. Which of the tiles are symmetrical? Draw the lines of symmetry (if any).
Solution:
Do it yourself.

3. Make more tiles by joining two or more shapes. Trace them in your notebook to create paths with no gaps or overlaps.
Solution:
Do it yourself.

4. Look at the following shapes. What do you notice? Discuss.

Solution:
Do it yourself.

Let Us Do (Page 172 – 174)

1. Make floor patterns with your tile. Mini has made a floor pattern as shown below.
Remember there should be no overlaps and no gaps.

Solution:
Do it yourself.

2. Making a Catty Wall!
Step 1: Take a square piece of paper. Mark as shown to make the cat’s head and ears.

Step 2: Now, cut along the outline and slide the top piece down to align with the larger piece.

Step 3: Tape the pieces together.

Step 4: Now the real fun begins! Trace the outline of the cat pattern on a large piece of paper and make its face.

Your wall is ready.

Create more of these tiles. Some ideas to make creative wall patterns are given below.

Isn’t it fun? Just cut, slide, and paste. Your tile is ready to make a creative wall.
Solution:
Do it yourself.

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:
• Categorise the leaves into symmetrical and non-symmetrical.
• Make different designs and patterns with leaves and flowers.
• Make a greeting card using imprints of leaves or dry flowers.
• Create animals or designs using leaves and flowers.
Solution:
Do it yourself.