NCERT Solutions for Class 5 Mathematics Maths Mela (English) Chapter 10 Symmetrical Designs
NCERT solutions for Class 5 Mathematics Chapter 10 Symmetrical Designs – complete answers & explanations
This blog provides NCERT solutions for Class 5 Mathematics Chapter Symmetrical Designs from Maths Mela (English). In this chapter, students learn about symmetry, patterns, and designs using shapes, letters, and numbers. These concepts help build visual understanding and logical thinking. The solutions shared here are complete and strictly based on the worksheet, making them accurate and reliable for practice and revision.
What this NCERT chapter covers?
1. Understanding reflection symmetry using letters, numbers, and shapes
2. Learning rotational symmetry through simple examples
3. Identifying horizontal and vertical lines of symmetry
4. Creating symmetrical designs using paper folding and cutouts
5. Exploring patterns using shapes, numbers, and creative activities
6. Applying symmetry concepts in real-life objects and designs
How to use these NCERT solutions?
1. First, try solving all the questions from the worksheet on your own
2. Use these answers to check your work and correct mistakes
3. Follow the exact order of questions as given in the worksheet
4. Understand the explanations for activity-based questions carefully
5. Parents and teachers can guide students by discussing each solution step-by-step
Important tips & tricks for students
1. Always check if a figure matches after folding or rotating
2. Carefully observe lines of symmetry before answering
3. Practice drawing symmetrical shapes neatly
4. Do not rush activity-based questions—follow instructions properly
5. Remember that some answers depend on observation and may vary
NCERT solutions – complete answer key
Alphabet Cutout
Horizontal line of symmetry - E, X, O
Vertical line of symmetry - T, V, O, X
Both vertical and horizontal lines of symmetry - X, O
Let Us Do
Explanation:
Use folded paper to create symmetrical shapes like diya and boat. Draw half or a part along the fold, cut carefully, and open to see the full symmetrical design
Let Us Do
Reflection symmetry:
1, 3, 8, 0.
Both rotational and reflection symmetries 1, 8, 0.
Rotational symmetry:
1, 8, 0.
II
Both rotational and reflection symmetry.
I00I
Both rotational and reflection symmetry.
Answer: Yes, it looks the same at each turn. only the green dot changes its position.
Rotational Symmetry (Letters Activity)
Yes, I and X have rotational symmetry as they look the same when rotated half a turn. But Y does not have it.
Examples
(i) Numbers with Reflection Symmetry:
• 2-digit: 11, 88
• 3-digit: 181, 303, 808
• 4-digit: 1001, 1331, 8008
(ii) Numbers with Rotational Symmetry:
• 2-digit: 80, 88, 00
• 3-digit: 808, 880, 800
• 4-digit: 8008, 8888, 0880
(iii) Numbers with Both Reflection & Rotational Symmetry:
• 2-digit: 88, 00
• 3-digit: 808, 888
• 4-digit: 8008, 8888, 0880
(a) No
(b) Add shapes so that the design matches after half a turn. Add a circle to the left of the figure.
(c) Explanation:
Modify shapes so design matches after quarter turn (90° rotation). Add 2 more circles at top and bottom.
(d) Yes. Along the vertical and horizontal lines passing through the centre.
Making Designs
Explanation:
Use square and triangle cutouts to form patterns. Arrange them so they look the same when folded or rotated. Draw symmetry lines where possible.
Draw lines along the horizontal and vertical axis centrally.
It has rotational symmetry at half of a turn .
Yes, it has reflection symmetry too.
Reflection symmetry:
Yes
Rotational symmetry:
Yes
Both:
Yes
Let Us Think
Yes
No
Diagram colored as shown.
4 times.
No reflective symmetry. Will have it only if adjacent triangles are of same color.
Let Us Do (Shapes Activity)
Let Us Explore
(i) – c
(ii) – d
(iii) – a
(iv) – e (given)
(v) – b
Answer:
1/4 turn, Rotational and reflectional symmetry.
Let Us Do
Explanation:
Create patterns using vegetable blocks. Repeat prints in order to form symmetrical designs. Observe whether designs match after rotation or reflection.
Project Work
Why NCERT solutions help students?
NCERT solutions help students understand concepts clearly and prepare effectively for exams. They provide accurate, structured answers aligned with the syllabus. Regular practice with these solutions builds confidence and improves problem-solving skills.
Build strong Class 5 Mathematics concepts with structured practice and expert learning guidance.