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NCERT Solutions for Class 5 Maths Mela Chapter 10 Symmetrical Designs

Q: 1. What is symmetry in Class 5 Maths?

Symmetry in Class 5 Maths means a shape or design that looks exactly the same on both sides if you fold it along a line (the line of symmetry). Key points:A figure is symmetrical if one half is the mirror image of the other.The imaginary line dividing the shape into two equal parts is called the line of symmetry.Examples include figures like squares, rectangles, and some letters like A, H, and M.

Q: 2. How do you solve symmetrical designs questions?

To solve symmetrical designs questions in NCERT Class 5 Maths, follow these steps:Identify the line of symmetry in the figure.Fold or imagine folding the shape along this line.Check if both halves match exactly to decide if the shape is symmetrical.Draw the missing half if required, by mirroring the given part using the line of symmetry as reference.Always use neat diagrams and clear stepwise explanations for full marks.

Q: 3. Are diagrams or definitions mandatory in answers for Class 5 Maths Chapter 10?

Yes, diagrams and definitions are often mandatory in answers for Class 5 Maths Chapter 10.Drawing symmetrical shapes and lines of symmetry earns easy marks.Definitions like symmetry and line of symmetry should be clear and precise.Make diagrams neat and label the line of symmetry clearly.

Q: 4. How to write stepwise NCERT answers to score full marks in Chapter 10 Symmetrical Designs?

To score full marks in NCERT Chapter 10 Symmetrical Designs, always:Start with a relevant definition or brief introduction.Write each step clearly (numbered or in order), matching the method used in the textbook.Draw and label diagrams wherever asked.Highlight final answers, use keywords like 'symmetrical', 'mirror image', 'line of symmetry'.

Q: 5. Which questions are most important from NCERT Solutions Class 5 Maths Chapter 10 for exams?

The most important questions from NCERT Solutions Class 5 Maths Chapter 10 typically include:Finding and drawing lines of symmetry in given figures or alphabets.Drawing the other symmetrical half of a figure.Identifying symmetrical and non-symmetrical shapes.Definitions of symmetry and line of symmetry.Practice both diagram-based and definition-based questions for best results.

Q: 6. Where can I find and download the free PDF of NCERT Solutions Class 5 Maths Chapter 10 Symmetrical Designs?

You can download the free PDF of NCERT Solutions Class 5 Maths Chapter 10 Symmetrical Designs from trusted educational websites such as Vedantu or by searching "Class 5 Maths Chapter 10 NCERT Solutions PDF".PDFs are useful for offline study and quick revision.Always check the academic year (2025–26) for correct solutions.

Q: 7. How does mastering symmetrical designs help in CBSE Class 5 Maths exams?

Mastering symmetrical designs helps in CBSE Class 5 Maths exams by:Increasing marks in diagram and definition questions.Improving visual reasoning skills and accuracy.Making geometry and pattern-based problems easier in higher classes.Clear understanding and neat presentation of symmetrical designs often lead to higher scores.

Q: 8. How should long answers be structured for better marks in Class 5 Maths Chapter 10?

For long answers in Class 5 Maths Chapter 10:Start with a short definition or introduction of the concept.Explain the steps one by one, using bullet points or numbering.Include neat diagrams whenever required, and label each part (especially the line of symmetry).End with the main conclusion or answer, using key terms from the chapter.

Q: 9. What are common mistakes students make in the Symmetrical Designs chapter, and how can they avoid them?

Common mistakes in the Symmetrical Designs chapter include:Not drawing or labelling the line of symmetry correctly.Missing to check if both halves are exact mirror images.Incomplete or untidy diagrams losing step marks.To avoid these errors:Always use a ruler for lines of symmetry.Double-check if the halves match perfectly.Keep diagrams neat and concise, and follow textbook conventions.

Q: 10. Are NCERT Solutions enough for Class 5 Maths exams?

NCERT Solutions for Class 5 Maths, Chapter 10, are usually sufficient for exam preparation because:They cover all important questions stepwise as per CBSE syllabus (2025–26).Provide clear explanations, diagrams, and definitions matching school exams.For additional practice, students can solve exemplar questions and sample papers.

How to Solve Symmetrical Designs Questions in Class 5 Maths

Struggling with symmetrical patterns or definitions? Our NCERT Solutions for Class 5 Maths Chapter 10 make every concept in “Symmetrical Designs” simple with stepwise explanations created just for CBSE 2025–26 students.

Find exercise-wise solutions with clear diagrams, important definitions, and back exercise answers. Each step matches the CBSE marking scheme, helping you score better and revisit crucial topics quickly—ideal for quick revision before school assessments.

Download the free PDF for offline study and get exam-ready with CBSE NCERT Class 5 Symmetrical Designs solutions, including stepwise answers and revision notes—perfect for confident Maths prep!

How to Solve Symmetrical Designs Questions in Class 5 Maths

NCERT Solutions Class 5 Maths Mela Chapter 10 Symmetrical Designs (2025-26)

Answer the following questions as per the NCERT book:

1. Which of the following alphabet cutouts can be made by just drawing half (¹⁄₂) or quarter (¹⁄₄) of the letter? Letters: E, N, X, T, K, V, O

Answer: The letters that can be made by drawing half: E, T, K, V, O (by folding along their vertical symmetry). The letters that can be made by drawing a quarter: H (not in list), O, X (as they have both vertical and horizontal lines of symmetry). Among given, O and X can be folded in quarters.

2. Which of the letters have a horizontal line of symmetry?

Answer: The letters E, H, O, and X have a horizontal line of symmetry.

3. Which of the letters have a vertical line of symmetry?

Answer: The letters A, H, I, M, O, T, U, V, W, X, and Y, out of these: A, O, V, X have a vertical line of symmetry from the given list.

4. Which letters have both vertical and horizontal lines of symmetry?

Answer: The letters H, O, X have both vertical and horizontal lines of symmetry.

5. Does the firki (windmill) look the same after ¹⁄₄, ¹⁄₂, ³⁄₄, and a full turn?

Answer: Yes, the firki looks the same after each of these turns, demonstrating rotational symmetry.

6. Which digit(s) have reflection symmetry?

Answer: Digits with reflection symmetry are: 0, 1, 3, 8 (some or all symmetry), but for standard forms: 0 and 8 have both vertical and horizontal symmetry. 1 has vertical symmetry.

7. Which digit(s) have rotational symmetry?

Answer: Digits 0 and 8 have rotational symmetry (180° and 90° respectively), 6 and 9 do not. Digit 0 has infinite rotational symmetry.

8. Which digit(s) have both rotational and reflection symmetries?

Answer: Digits 0 and 8 have both rotational and reflection symmetry.

9. Do the numbers || , | , 00 , | have: (a) rotational symmetry, (b) reflection symmetry, or (c) both symmetries?

Answer: All these have both rotational and reflection symmetry.

10. Give examples of 2-, 3-, and 4-digit numbers which have rotational symmetry, reflection symmetry, or both.

Answer: Examples—

2-digit: 11, 88, 00, 69
3-digit: 101, 808, 181, 818
4-digit: 1001, 8888, 8008, 8118

All these have reflection and/or rotational symmetry depending on selection of digits 0, 1, 8.

11. How many times does this shape look the same during a full turn? (For a square design with 1/4 turn symmetry.)

Answer: Four times, after every 1/4 turn (90°, 180°, 270°, 360°).

12. Does the design have rotational symmetry?

Answer: Yes, if the design looks the same after each 1/4 or 1/2 turn, it has rotational symmetry.

13. Do these designs have reflection symmetry also?

Answer: Yes, if you can divide the design into symmetrical halves with a straight line, the design also has reflection symmetry.

14. Does this shape (traditional block print/Rajasthan) have reflection symmetry? Draw its line(s) of symmetry. Does it have rotational symmetry? At which turn? Both symmetries?

Answer: If the block pattern looks the same on flipping over a line and also after turning (commonly after 1/2 or 1/4 turn), then it has both reflection and rotational symmetry. Draw appropriate line(s) of symmetry as shown in book.

15. Match the following wooden blocks to their prints:

Wooden Block	Print
(i)	(a)
(ii)	(b)
(iii)	(c)
(iv)	(d)
(v)	(e)

16. The design B looks the same after every ____________ turn. This design has ____________ symmetry.

Answer: The design B looks the same after every 1/2 or 1/4 turn (as per design). This design has rotational symmetry (and reflection symmetry, if applicable).

Understanding Symmetry in Mathematics

Learning about symmetry and designs helps Class 5 students recognize patterns in their daily life. The chapter makes it fun to identify reflection symmetry and rotational symmetry in letters, numbers, and beautiful traditional art.

Exploring the NCERT solutions Class 5 Maths Mela Chapter 10 Symmetrical Designs (2025-26) boosts problem-solving and creative skills. By practicing different questions, students understand how symmetry appears in crafts, block printing, and even in English alphabets.

Tip: Always look for lines of symmetry while drawing or making paper designs. This easy habit can improve exam performance and make working with shapes and patterns fun and rewarding!

FAQs on NCERT Solutions for Class 5 Maths Mela Chapter 10 Symmetrical Designs

1. What is symmetry in Class 5 Maths?

Symmetry in Class 5 Maths means a shape or design that looks exactly the same on both sides if you fold it along a line (the line of symmetry).
Key points:

A figure is symmetrical if one half is the mirror image of the other.
The imaginary line dividing the shape into two equal parts is called the line of symmetry.
Examples include figures like squares, rectangles, and some letters like A, H, and M.

2. How do you solve symmetrical designs questions?

To solve symmetrical designs questions in NCERT Class 5 Maths, follow these steps:

Identify the line of symmetry in the figure.
Fold or imagine folding the shape along this line.
Check if both halves match exactly to decide if the shape is symmetrical.
Draw the missing half if required, by mirroring the given part using the line of symmetry as reference.

Always use neat diagrams and clear stepwise explanations for full marks.

3. Are diagrams or definitions mandatory in answers for Class 5 Maths Chapter 10?

Yes, diagrams and definitions are often mandatory in answers for Class 5 Maths Chapter 10.

Drawing symmetrical shapes and lines of symmetry earns easy marks.
Definitions like symmetry and line of symmetry should be clear and precise.
Make diagrams neat and label the line of symmetry clearly.

4. How to write stepwise NCERT answers to score full marks in Chapter 10 Symmetrical Designs?

To score full marks in NCERT Chapter 10 Symmetrical Designs, always:

Start with a relevant definition or brief introduction.
Write each step clearly (numbered or in order), matching the method used in the textbook.
Draw and label diagrams wherever asked.
Highlight final answers, use keywords like 'symmetrical', 'mirror image', 'line of symmetry'.

5. Which questions are most important from NCERT Solutions Class 5 Maths Chapter 10 for exams?

The most important questions from NCERT Solutions Class 5 Maths Chapter 10 typically include:

Finding and drawing lines of symmetry in given figures or alphabets.
Drawing the other symmetrical half of a figure.
Identifying symmetrical and non-symmetrical shapes.
Definitions of symmetry and line of symmetry.

Practice both diagram-based and definition-based questions for best results.

6. Where can I find and download the free PDF of NCERT Solutions Class 5 Maths Chapter 10 Symmetrical Designs?

You can download the free PDF of NCERT Solutions Class 5 Maths Chapter 10 Symmetrical Designs from trusted educational websites such as Vedantu or by searching "Class 5 Maths Chapter 10 NCERT Solutions PDF".

PDFs are useful for offline study and quick revision.
Always check the academic year (2025–26) for correct solutions.

7. How does mastering symmetrical designs help in CBSE Class 5 Maths exams?

Mastering symmetrical designs helps in CBSE Class 5 Maths exams by:

Increasing marks in diagram and definition questions.
Improving visual reasoning skills and accuracy.
Making geometry and pattern-based problems easier in higher classes.

Clear understanding and neat presentation of symmetrical designs often lead to higher scores.

8. How should long answers be structured for better marks in Class 5 Maths Chapter 10?

For long answers in Class 5 Maths Chapter 10:

Start with a short definition or introduction of the concept.
Explain the steps one by one, using bullet points or numbering.
Include neat diagrams whenever required, and label each part (especially the line of symmetry).
End with the main conclusion or answer, using key terms from the chapter.

9. What are common mistakes students make in the Symmetrical Designs chapter, and how can they avoid them?

Common mistakes in the Symmetrical Designs chapter include:

Not drawing or labelling the line of symmetry correctly.
Missing to check if both halves are exact mirror images.
Incomplete or untidy diagrams losing step marks.

To avoid these errors:

Always use a ruler for lines of symmetry.
Double-check if the halves match perfectly.
Keep diagrams neat and concise, and follow textbook conventions.

10. Are NCERT Solutions enough for Class 5 Maths exams?

NCERT Solutions for Class 5 Maths, Chapter 10, are usually sufficient for exam preparation because:

They cover all important questions stepwise as per CBSE syllabus (2025–26).
Provide clear explanations, diagrams, and definitions matching school exams.
For additional practice, students can solve exemplar questions and sample papers.

11. Do examiners award partial marks for correct steps even if the final answer is wrong?

Yes, in CBSE and school exams, partial marks are often awarded if your steps and logic are correct, even if the final answer is incorrect.

Show each calculation or construction step clearly.
You may still earn marks for correct method, even with a small mistake at the end.

12. How to learn diagrams and maps for Class 5 Maths Symmetrical Designs?

To learn diagrams for Class 5 Maths Symmetrical Designs:

Practice drawing different shapes with lines of symmetry (use a pencil and ruler).
Label the line of symmetry on each figure clearly.
Use colour or shading to differentiate halves when revising.
Refer to NCERT textbook and solved examples for reference diagrams.