Geometry & Mensuration

Download Q&A

Geometry & Mensuration MCQ & Objective Questions

Geometry and Mensuration are crucial topics in mathematics that play a significant role in various school and competitive exams. Mastering these concepts not only enhances your problem-solving skills but also boosts your confidence during exams. Practicing MCQs and objective questions helps you identify important questions and reinforces your understanding, ensuring you are well-prepared for any challenge that comes your way.

What You Will Practise Here

  • Basic geometric shapes: properties and classifications
  • Formulas for area and perimeter of various figures
  • Volume and surface area calculations for 3D shapes
  • Understanding angles, lines, and their relationships
  • Coordinate geometry basics and distance formula
  • Mensuration problems involving real-life applications
  • Diagrams and visual representations for better comprehension

Exam Relevance

Geometry and Mensuration are integral parts of the curriculum for CBSE, State Boards, NEET, and JEE exams. Questions often focus on applying formulas to solve problems, interpreting diagrams, and understanding theorems. Common question patterns include direct application of formulas, conceptual understanding, and multi-step problems that test your analytical skills. Familiarity with these patterns will enhance your performance in exams.

Common Mistakes Students Make

  • Confusing the formulas for area and perimeter
  • Neglecting units of measurement in calculations
  • Misinterpreting the properties of shapes
  • Overlooking the importance of diagrams in problem-solving
  • Rushing through calculations, leading to simple errors

FAQs

Question: What are the key formulas I should remember for Geometry & Mensuration?
Answer: Key formulas include area and perimeter for 2D shapes (like rectangles, circles, and triangles) and volume and surface area for 3D shapes (like cubes, cylinders, and spheres).

Question: How can I improve my speed in solving Geometry & Mensuration problems?
Answer: Regular practice of MCQs and timed quizzes can significantly enhance your speed and accuracy in solving problems.

Now is the time to take charge of your exam preparation! Dive into our collection of Geometry & Mensuration MCQ questions and practice diligently to test your understanding and excel in your exams.

Q. A circle has a circumference of 62.8 cm. What is its radius?
  • A. 10 cm
  • B. 15 cm
  • C. 20 cm
  • D. 5 cm
Q. A circle has a radius of 3 cm. What is its area?
  • A. 28.26 cm²
  • B. 18.84 cm²
  • C. 31.42 cm²
  • D. 12.56 cm²
Q. A cube has a side length of 4 cm. What is its volume?
  • A. 16 cm³
  • B. 32 cm³
  • C. 64 cm³
  • D. 48 cm³
Q. A pyramid has a square base with a side length of 6 cm and a height of 9 cm. What is its volume?
  • A. 54 cm³
  • B. 72 cm³
  • C. 108 cm³
  • D. 36 cm³
Q. A trapezoid has bases of 8 m and 5 m, and a height of 4 m. What is its area?
  • A. 26 m²
  • B. 30 m²
  • C. 20 m²
  • D. 24 m²
Q. Calculate the volume of a triangular prism with a base area of 10 cm² and a height of 8 cm.
  • A. 80 cm³
  • B. 40 cm³
  • C. 60 cm³
  • D. 20 cm³
Q. Find the volume of a sphere with a radius of 5 cm.
  • A. 33.51 cm³
  • B. 65.45 cm³
  • C. 523.60 cm³
  • D. 125.66 cm³
Q. If a circle's area is 78.5 cm², what is its radius?
  • A. 5 cm
  • B. 7 cm
  • C. 6 cm
  • D. 4 cm
Q. If the diameter of a circle is 10 m, what is its circumference?
  • A. 31.4 m
  • B. 25.0 m
  • C. 20.0 m
  • D. 15.7 m
Q. If the length of a rectangle is doubled and the width remains the same, how does the area change?
  • A. It doubles
  • B. It triples
  • C. It remains the same
  • D. It quadruples
Q. What is the area of a circle with a radius of 4 cm?
  • A. 16π cm²
  • B. 8π cm²
  • C. 12π cm²
  • D. 20π cm²
Q. What is the area of a parallelogram with a base of 10 cm and a height of 6 cm?
  • A. 60 cm²
  • B. 50 cm²
  • C. 40 cm²
  • D. 30 cm²
Q. What is the area of a sector with a central angle of 90 degrees in a circle of radius 4 cm?
  • A. 6.28 cm²
  • B. 12.56 cm²
  • C. 3.14 cm²
  • D. 9.42 cm²
Q. What is the area of a trapezoid with bases of 6 cm and 10 cm, and a height of 4 cm?
  • A. 32 cm²
  • B. 24 cm²
  • C. 20 cm²
  • D. 28 cm²
Q. What is the distance between the points (3, 4) and (7, 1) in a coordinate plane?
  • A. 5 units
  • B. 4 units
  • C. 6 units
  • D. 7 units
Q. What is the length of an arc of a circle with a radius of 3 m and a central angle of 60 degrees?
  • A. 3.14 m
  • B. 3.77 m
  • C. 5.24 m
  • D. 6.28 m
Q. What is the perimeter of a rectangle with length 10 m and width 4 m?
  • A. 28 m
  • B. 24 m
  • C. 20 m
  • D. 30 m
Q. What is the perimeter of a square with a side length of 4 m?
  • A. 12 m
  • B. 16 m
  • C. 20 m
  • D. 8 m
Q. What is the perimeter of a triangle with sides measuring 7 cm, 5 cm, and 9 cm?
  • A. 21 cm
  • B. 19 cm
  • C. 22 cm
  • D. 20 cm
Q. What is the surface area of a sphere with a radius of 3 cm?
  • A. 36π cm²
  • B. 27π cm²
  • C. 12π cm²
  • D. 18π cm²
Q. What is the volume of a cone with a radius of 2 cm and a height of 6 cm?
  • A. 8.38 cm³
  • B. 12.57 cm³
  • C. 25.13 cm³
  • D. 16.76 cm³
Q. What is the volume of a cylinder with a radius of 3 cm and a height of 7 cm?
  • A. 63π cm³
  • B. 21π cm³
  • C. 27π cm³
  • D. 30π cm³
Q. What is the volume of a frustum of a cone with a radius of 3 cm at the top, 5 cm at the bottom, and a height of 4 cm?
  • A. 40.84 cm³
  • B. 30.00 cm³
  • C. 50.24 cm³
  • D. 60.00 cm³
Q. What is the volume of a hemisphere with a radius of 7 cm?
  • A. 143.67 cm³
  • B. 107.76 cm³
  • C. 153.94 cm³
  • D. 98.17 cm³
Q. What is the volume of a rectangular prism with dimensions 3 cm, 4 cm, and 5 cm?
  • A. 60 cm³
  • B. 12 cm³
  • C. 15 cm³
  • D. 20 cm³
Showing 1 to 25 of 25 (1 Pages)
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely