Class 5 Exam > Class 5 Notes > Mathematics (Maths Mela) Class 5 - New NCERT > Unit Test: Symmetrical Designs
Unit Test: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT PDF Download
Time: 1 hour M.M. 20
Attempt all questions.
- Question numbers 1 to 5 carry 1 mark each.
- Question numbers 6 to 8 carry 2 marks each.
- Question numbers 9 to 11 carry 3 marks each.
Q1: Which of the following shapes has both reflection and rotational symmetry? (1 mark)
(a) Rectangle
(b) Parallelogram
(c) Equilateral Triangle
(d) Scalene Triangle
Q2: How many lines of symmetry does a regular hexagon have? (1 mark)
(a) 4
(b) 6
(c) 8
(d) 2
Q3: A square has rotational symmetry of order _________. (1 mark)
(a) 3
(b) 2
(c) 4
(d) 6
Q4: Which of the following figures has reflection symmetry but no rotational symmetry? (1 mark)
(a) Circle
(b) Scalene Triangle
(c) Equilateral Triangle
(d) Regular Pentagon
Q5: List the alphabets which are having a reflection about vertical symmetry. (1 mark)
Q6: Draw a shape that does not have symmetry. (2 marks)
Q7: Can we say that a circle has rotational symmetry? (2 marks)
Q8: Does the image have a symmetry along x- axis? (2 marks)
Q9: Show the rotational symmetry of an equilateral triangle. (3 marks)
Q10: Draw the lines of Symmetry for the following shapes. (3 marks)
Q11: Draw two figures other than a circle and a square that have both reflection symmetry and rotational symmetry. (3 marks)
You can access the solutions to this Unit Test here.
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FAQs on Unit Test: Symmetrical Designs - Mathematics (Maths Mela) Class 5 - New NCERT
| 1. What are symmetrical designs and why are they important in art and mathematics? |  |
Ans. Symmetrical designs refer to patterns or arrangements that are balanced and mirror each other on either side of a central axis. They are important in both art and mathematics because they create harmony and visual appeal. In mathematics, symmetrical designs help in understanding geometric properties, while in art, they are often used to create aesthetically pleasing compositions.
| 2. How can symmetrical designs be created using geometric shapes? | |
Ans. Symmetrical designs can be created using geometric shapes by arranging them around a central point or line. For example, one can draw a circle and place shapes like triangles, squares, or other polygons evenly around it. Additionally, reflecting shapes across a line (line symmetry) or rotating them around a point (rotational symmetry) are common methods for creating symmetry in design.
| 3. What are some real-world examples of symmetrical designs? | |
Ans. Real-world examples of symmetrical designs include architectural structures such as the Taj Mahal, which has perfect symmetry in its design. Other examples include floral patterns, mandalas, and even the layout of city parks where pathways and plant arrangements are symmetrically designed to enhance beauty and order.
| 4. How does understanding symmetry benefit students in their studies? | |
Ans. Understanding symmetry benefits students by enhancing their spatial reasoning and problem-solving skills. It allows them to recognize patterns and relationships in mathematics, which can aid in geometry, algebra, and even in scientific concepts. Furthermore, knowledge of symmetry can improve their creative skills in art and design, making them more versatile in both academic and practical applications.
| 5. What activities can teachers use to teach symmetrical designs to students? | |
Ans. Teachers can engage students in various activities to teach symmetrical designs, such as creating symmetrical drawings or paintings, using mirrors to explore line symmetry, or designing patterns with blocks or paper cut-outs. Group projects that involve creating a large symmetrical mural or participating in symmetry scavenger hunts can also make learning interactive and enjoyable.
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Sep 19, 2025
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