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CBSE Class 8  >  Class 8 Test  >  Mathematical Olympiad   >  Olympiad Test: Mensuration - 1 - Class 8 MCQ

Olympiad Test: Mensuration - 1 - Free MCQ with solutions Class 8 Mathematical


MCQ Practice Test & Solutions: Olympiad Test: Mensuration - 1 (10 Questions)

You can prepare effectively for Class 8 Mathematical Olympiad Class 8 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Olympiad Test: Mensuration - 1". These 10 questions have been designed by the experts with the latest curriculum of Class 8 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Olympiad Test: Mensuration - 1 - Question 1
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A piece of ductile metal is in the form of a cylinder of radius 0.5 cm and length 6 cm. It is drawn out into a wire of diameter 1 mm. What will be the length of the wire?

Detailed Solution: Question 1

  • Since the volume of metal remains constant during the drawing process, we set the volume of the original cylinder equal to the volume of the wire.
  • The volume of the cylinder is calculated as pi x (radius)2 x length, which equals pi x (0.5 cm)2 x 6 cm = pi x 0.25 x 6 = 1.5 pi cm3.
  • The wire is also a cylinder with a diameter of 1 mm, which means its radius is 0.05 cm (because 1 mm equals 0.1 cm, and half of that is 0.05 cm).
  • Its volume is given by pi x (0.05 cm)2 x L = pi x 0.0025 x L cm3.
  • Equate the two volumes: 1.5 pi = 0.0025 pi x L.
  • Cancel pi from both sides to get 1.5 = 0.0025 x L, so L = 1.5/0.0025 = 600 cm, which is equivalent to 6 metres.

Olympiad Test: Mensuration - 1 - Question 2
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How many cubic metres of earth must be dug out to sink a well of 22.5 m deep and diam 7m ?

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Olympiad Test: Mensuration - 1 - Question 3
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The circumference of the base of a cylinder is 198 cm and its height is 30 cm. What is the curved surface area of the cylinder?

Olympiad Test: Mensuration - 1 - Question 4
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The volume of a metallic pipe is 1408 cm3. Its length is 14 cm and its internal radius is 7 cm. What is the thickness of the pipe?

Olympiad Test: Mensuration - 1 - Question 5
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What is the total surface area of a cylinder having base radius 10.5 cm and length 18 cm?

Olympiad Test: Mensuration - 1 - Question 6
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A cylindrical tank has capacity of 5632 m3. Its diameter is 16 m. What is its depth?

Olympiad Test: Mensuration - 1 - Question 7
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The volume of a cylinder of height 8 cm is 1232 cm3. What is the difference between curved surface area and the total surface area?

Olympiad Test: Mensuration - 1 - Question 8
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What is the volume of a cube whose total surface area is 486 cm2 ?

Olympiad Test: Mensuration - 1 - Question 9
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A beam of wood is 5 m long and 36 cm. It is made of 1.35 m3 of wood. What is the width of the beam?

Olympiad Test: Mensuration - 1 - Question 10
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How many planks of size 2m × 25 cm × 8 cm. can be prepared from a wooden block 5 m long 70 cm broad and 32 cm thick ?

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About this Class 8 Practice Test

This test contains 10 MCQs on Olympiad Test: Mensuration - 1 with detailed solutions for each question. It is part of the Mathematical Olympiad Class 8 course on EduRev, designed to align with the current Class 8 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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