NCERT Solutions for Class 4 Mathematics Maths Mela (English) Chapter 11
NCERT solutions for Class 4 Maths Chapter 11 Fun With Symmetry – complete answers & explanations
This blog provides complete NCERT solutions for Class 4 Maths Chapter 11 Fun With Symmetry based strictly on the given worksheet :contentReference[oaicite:0]{index=0}. This chapter helps students understand symmetry through fun activities like folding paper, mirror games, and patterns. It is important because it builds visual understanding and logical thinking skills. All answers here follow the worksheet exactly to help students learn and practice correctly.
What this NCERT chapter covers?
1. Understanding symmetrical patterns through paper
folding and ink designs
2. Identifying lines of symmetry in shapes and objects
3. Learning symmetry using mirrors and reflections
4. Exploring shapes like triangle, square, rectangle, rhombus, and parallelogram
5. Completing symmetrical designs and patterns
6. Understanding tiling and creating patterns without gaps or overlaps
How to use these NCERT solutions?
1. First, read each question from
the worksheet carefully and try solving it on your own
2. Then, use these answers to check your work and understand mistakes
3. Follow the exact order of questions as given in the worksheet
4. Parents and teachers can guide students during activities and discussions
5. Practice drawing and activity-based questions neatly for better understanding
Important tips & tricks for students
1. Always look for the middle line to identify symmetry
2. Fold paper or use a mirror to check if both sides match
3. Draw carefully when completing symmetrical figures
4. Remember that both sides of a symmetrical shape must be identical
5. Pay attention to instructions in activity-based questions
NCERT solutions – complete answer key
Let Us Do
1. Ink Design
Fold a paper, add colours, press and open it to see a symmetrical design. Identify the line of symmetry in the middle.
Is it a symmetrical pattern?
Yes, it is a symmetrical pattern.
Where would you draw the line that divides this design into two equal halves?
You would draw the line along the fold in the middle of the design.
2. Making a paper airplane
Fold paper in half, align edges, make centre crease, fold corners to centre, fold sides again, fold in half, make equal wings, and open to fly.
b 1 line of symmetry
c Place the mirror along the vertical middle line
Yes
d Make and fly the paper plane.
e No
f Make a plane that is not the same on both sides.
g Symmetrical plane flies longer
h Discuss and share observations.
3. Holes and Cuts
Explanation:
Fold paper and make cuts as shown, then open to observe the pattern.
Challenge 1: Holes and cuts appear equally on all folded sides (symmetrical positions)
Challenge 2: 8 sides
Challenge 3: Cut at the folded centre corner; 1 cut.
4. Complete the designs below
Explanation:
Draw the missing half of each design by copying the given part to make both sides identical.
Let Us Do
1. Draw the border shapes on the dot grid.
Which of the shapes are symmetrical?
Symmetrical shapes: kite, envelope, arrow
2. Games with a Mirror
a Place the mirror in different positions on shape A to match shapes 1–6.
Which digits from 0 to 9 have the same mirror image?
0, 1, 8
Create 4-digit numbers that look the same in a mirror. Where will you place the mirror? How many such numbers can you form?
1001, 1111, 1691, 1881, 8008
Mirror placement: Vertical line in the middle
16
c Create similar number puzzles.
3. Why are ambulance letters written this way?
They are written in reverse so that drivers can read them correctly in mirrors.
Can you identify these words? Where will you place the mirror to read the following words correctly?
TAP
CAN
WOW
HEN
Mirror placement : Vertical mirror
4. Complete the following to make symmetrical shapes.
Explanation:
Draw the missing parts to complete each shape symmetrically.
5. Observe the shapes. How many sides does each shape have?
Triangle – 3 sides,
Square – 4 sides,
Rectangle – 4 sides,
Rhombus – 4 sides,
Parallelogram – 4 sides,
Yes
How many lines of symmetry does each shape have?
Triangle – 1 line of symmetry
Square – , 4 lines of symmetry
Rectangle – 2 lines of symmetry
Rhombus – 2 lines of symmetry
Parallelogram – 0 lines of symmetry
Tiling the Tiles
Explanation:
Identify repeating tiles and continue the pattern without gaps or overlaps
Tiles at the Tile Shop
Design your own tiles using shapes or cutouts.
1 Triangles, squares, rectangles, hexagons
2 Symmetrical tiles: square, hexagon
Draw lines through centre
Explanation:
Create floor patterns using tiles without gaps or overlaps.
1. Make floor patterns with tiles without gaps or overlaps.
2. Making a catty wall!
Explanation:
Follow steps to cut, slide, and paste paper to create cat-shaped tiles and patterns.
3. Let us go on a nature walk
Explanation:
• Collect leaves and flowers
• Sort into symmetrical and non-symmetrical
• Make designs and patterns
• Create greeting cards
• Make animal shapes using leaves
Why NCERT solutions help students?
These NCERT solutions help students prepare for exams by providing accurate answers based on the worksheet. They improve understanding of symmetry concepts, help in practicing correctly, and build confidence in solving similar questions.
Help your child build strong Maths fundamentals with expert-guided learning support.