NCERT Class 6 Maths Quiz – Perimeter and Area Practice
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Excellence in Primary Mathematics
NCERT Class 6 -Chapter 6 Mathematics Quiz
NCERT Class 6 Maths Quiz – Perimeter and Area Practice
Subject: Mathematics Grade: Class 6 Total Questions: 60
SECTION A: Single Choice MCQs (Questions 1 to 30)
1. What is the perimeter of a regular pentagon with each side measuring 7 cm?
2. Find the area of a square whose side is 12 cm.
3. The length and breadth of a rectangular garden are 30 m and 20 m respectively. What is its perimeter?
4. What is the area of a rectangle of length 15 cm and breadth 9 cm?
5. Find the side of a square park whose perimeter is 100 m.
6. The perimeter of an equilateral triangle is 45 cm. Find the length of each side.
7. What is the amount of surface enclosed by a closed figure called?
8. The total distance covered along the boundary of a closed figure is called:
9. Find the perimeter of a regular octagon with side length 6 cm.
10. What is the area of a square table top of side 2 m?
11. Find the breadth of a rectangular plot whose area is 440 sq m and length is 22 m.
12. A rectangular athletic track is 100 m long and 50 m wide. Find its perimeter.
13. What is the perimeter of a regular hexagon of side 8 cm?
14. Find the length of a rectangle whose area is 650 sq cm and breadth is 13 cm.
15. What is the area of a square stamp of side 5 cm?
16. If the perimeter of a regular triangle is 36 cm, what is the length of one side?
17. Find the perimeter of a rectangle with length 18 m and breadth 12 m.
18. What is the area of a rectangle measuring 25 m by 4 m?
19. The side of a square room is 9 m. Find the cost of carpeting it at Rs 10 per square metre.
20. What is the perimeter of a regular decagon (10 sides) with side length 4 cm?
21. Find the area of a floor that is 8 m long and 6 m wide.
22. If a square has an area of 81 sq cm, what is the length of its side?
23. Find the perimeter of a rectangle whose length is 24 cm and breadth is 16 cm.
24. What is the area of a square field whose perimeter is 60 m?
25. A piece of string is 36 cm long. What will be the length of each side if it is used to form a square?
26. What is the perimeter of a regular heptagon (7 sides) of side length 5 cm?
27. Find the area of a rectangle with length 11 cm and breadth 7 cm.
28. The perimeter of a square is 64 cm. Find its area.
29. Find the perimeter of a rectangle with length 50 m and breadth 25 m.
30. What is the area of a square playground with side 16 m?
SECTION B: Multi-Selection MCQs (Questions 31 to 60 – Select ALL correct)
31. Which of the following figures have a perimeter of 40 cm? Multiple
32. Which of the following statements about perimeter and area are true? Multiple
33. Select rectangles that have an area of 36 sq cm: Multiple
34. Which pairs of dimensions give a rectangle perimeter equal to 30 cm? Multiple
35. Which figures have equal side lengths in all their sides? Multiple
36. Select the shapes where perimeter is calculated by multiplying side length by the number of sides: Multiple
37. Which of these expressions correctly represent the perimeter of a rectangle with length ‘l’ and breadth ‘b’? Multiple
38. Which squares have an area greater than 50 sq cm? Multiple
39. Which of the following units are appropriate for measuring area? Multiple
40. Select the correct formulas for finding area: Multiple
41. Which regular polygons have a perimeter of 60 cm when their side length is 10 cm? Multiple
42. Which rectangles have a perimeter of 50 cm? Multiple
43. Which geometric shapes are closed figures? Multiple
44. Which of these pairs have the same perimeter? Multiple
45. Select shapes for which you can calculate perimeter by adding all outer side lengths: Multiple
46. Which rectangles have an area of 48 sq cm? Multiple
47. Which units are standard for measuring perimeter? Multiple
48. Which statements about a square are correct? Multiple
49. Which of the following have a perimeter of 24 cm? Multiple
50. Which shapes are classified as regular closed figures? Multiple
51. Select the options where the calculated area is 100 sq units: Multiple
52. Which properties apply to a rectangle? Multiple
53. Which figures have a perimeter of 32 cm? Multiple
54. Which geometric shapes have four sides? Multiple
55. Select all shapes that are considered polygons: Multiple
56. Which of the following give an area of 64 sq cm? Multiple
57. Which units are larger than a square centimetre? Multiple
58. Which calculations correctly find the perimeter of a regular hexagon with side 9 cm? Multiple
59. Select the scenarios where calculating perimeter is necessary: Multiple
60. Which statements about regular polygons are true? Multiple
Quiz Performance Summary
Understanding Perimeter and Area: Comprehensive Guide for NCERT Class 6 Mathematics
Mathematics in Class 6 marks a crucial transition from arithmetic operations to foundational geometry and spatial measurement. Chapter 6 of the NCERT curriculum, titled “Perimeter and Area,” introduces students to two of the most practical and widely applicable concepts in everyday life. Whether you are measuring the boundary of a sports field, calculating the amount of fencing needed for a garden, or determining how many tiles are required to cover a room floor, understanding perimeter and area forms an essential life skill. This guide explores these two core geometric concepts in depth, providing clear definitions, formulas, real-world examples, and problem-solving strategies to help students excel.
Free Download NCERT Class 6 Maths worksheet – Perimeter and Area – 50 Most Important questions with answers
What is Perimeter?
Perimeter is defined as the total distance covered along the boundary of a closed geometric figure. Imagine walking completely around the edge of a park, a football field, or a rectangular table until you return to your exact starting point. The total distance you traveled represents the perimeter of that shape. The word perimeter originates from Greek words—’peri’ meaning around and ‘metron’ meaning measure.
For any closed polygon, the perimeter is calculated by finding the sum of the lengths of all its sides. Because perimeter represents a linear distance, it is measured in standard linear units such as centimetres (cm), metres (m), or kilometres (km).
Perimeter Formulas for Standard Shapes
While any polygon’s perimeter can be found by adding up all its individual side lengths, standard regular and irregular shapes have simplified algebraic formulas:
1. Perimeter of a Rectangle: A rectangle has two equal lengths (l) and two equal breadths (b). Therefore, its perimeter is calculated as 2 × (Length + Breadth), or 2(l + b).
2. Perimeter of a Square: A square has four equal sides (s). The perimeter is simply 4 times the length of one side (4s).
3. Perimeter of Regular Polygons: A regular polygon is a closed figure where all sides and all interior angles are equal (such as an equilateral triangle, regular pentagon, or regular hexagon). The perimeter of any regular polygon with ‘n’ sides of length ‘s’ is given by n × s.
What is Area?
While perimeter measures the outer boundary, area measures the magnitude or extent of the flat surface enclosed within that boundary. If perimeter is the fence surrounding a yard, area is the grass-covered ground inside the fence. Area tells us how much flat space a 2D shape occupies.
Because area covers a two-dimensional surface, it is measured in square units, such as square centimetres (sq cm or cm²), square metres (sq m or m²), or square kilometres. For instance, if a square has a side length of 1 cm, its area is 1 square centimetre, representing a unit square.
Area Formulas for Standard Shapes
Calculating the area of basic geometric shapes relies on simple multiplication of their dimensions:
1. Area of a Rectangle: The area of a rectangular region is found by multiplying its length by its breadth (Length × Breadth).
2. Area of a Square: Since a square’s length and breadth are equal (both equal to side ‘s’), its area is calculated as Side × Side (s²).
Real-World Applications of Perimeter and Area
Students often wonder why learning geometry matters outside the classroom. Perimeter and area govern countless practical tasks in architecture, engineering, interior design, landscaping, and daily household management:
Home Renovation and Flooring: When laying tiles, carpets, or wooden flooring, interior designers must calculate the exact area of the room to purchase the correct quantity of flooring material without excess waste.
Fencing and Landscaping: Farmers, gardeners, and homeowners calculate perimeter to determine how much fencing wire, border stone, or boundary lighting is required to secure or decorate a property.
Framing Artwork: Picture framers measure the perimeter of a painting or photograph to cut the correct length of wooden or metallic framing molding.
Common Misconceptions and Tips for Students
Primary and middle school students frequently confuse perimeter with area or mix up their units. Here are key tips to master these concepts:
1. Always Check Your Units: Remember that perimeter uses linear units (cm, m), whereas area always uses square units (sq cm, m²). Forgetting the word ‘square’ or the exponent ‘²’ in area calculations is a common error.
2. Understand the Question Context: Ask yourself whether a problem involves walking around an object (perimeter) or covering its surface (area).
3. Practice Multi-Selection Problems: Engaging with multi-selection questions encourages deep critical thinking, ensuring that students evaluate all given options rather than rushing through equations.
Conclusion
Mastering Chapter 6 on Perimeter and Area builds a strong mathematical foundation for advanced geometry, coordinate geometry, and calculus in later grades. By practicing interactive problems, visualizing shapes, and applying formulas methodically, students gain confidence and analytical sharpness. Use this comprehensive quiz worksheet to test your knowledge, check your understanding instantly, and achieve excellence in mathematics!