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Class 9 Mathematics Chapter 6: Measuring Space: Perimeter and Area — practice questions with answers

Free practice for Class 9 Mathematics, Chapter 6: Measuring Space: Perimeter and Area. Try the solved questions below, then take a free test with instant marking and explanations.

56 questions20 easy, 20 medium, 16 hardNCERT · CBSE · State boards

Sample questions with solutions

Q1. What is the perimeter of a shape?
  1. The total length around its border
  2. The space it covers
  3. The length of its longest side
  4. Its height
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Answer: A. The total length around its border
Why: Imagine an insect walking once around the border. [p.119]
Q2. What is π?
  1. The ratio of a circle’s circumference to its diameter, the same for all circles
  2. Exactly 22/7
  3. Exactly 3.14
  4. The area of a unit circle in square cm only
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Answer: A. The ratio of a circle’s circumference to its diameter, the same for all circles
Why: π is irrational; 22/7 is only an approximation. [p.120–124]
Q3. The circumference of a circle is 44 cm. What is its radius (cm)? (Use π = 22/7.)
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Answer: 7 (± 0)
Why: 2 × 22/7 × r = 44 → r = 7. [p.129]
Q4. Find the circumference of a circle of radius 7 cm (π = 22/7).
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Answer: 44 (± 0)
Why: 2 × 22/7 × 7 = 44 cm. [p.129]
Q5. A car tyre has diameter 56 cm. How far does the car move in one revolution (cm, π = 22/7)?
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Answer: 176 (± 0)
Why: πd = 22/7 × 56 = 176 cm. [p.130]
Q6. What is the area of a parallelogram with base b and height h?
  1. bh
  2. ½bh
  3. 2(b + h)
  4. b + h
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Answer: A. bh
Why: It can be rearranged into a rectangle. [p.131]

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Frequently asked questions

How many practice questions are there for Class 9 Mathematics Chapter 6: Measuring Space: Perimeter and Area?

56 questions (20 easy, 20 medium, 16 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.

Is this chapter from the NCERT book?

Yes — it follows the NCERT Class 9 Mathematics syllabus, used by CBSE and many state boards.

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