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Q. In a quadrilateral, if one angle is 120 degrees and the other three angles are equal, what is the measure of each of the equal angles?
  • A. 30 degrees
  • B. 40 degrees
  • C. 60 degrees
  • D. 80 degrees
Q. In a quadrilateral, if one angle is 120 degrees, what can be said about the sum of the other three angles?
  • A. They must sum to 60 degrees.
  • B. They must sum to 180 degrees.
  • C. They must sum to 240 degrees.
  • D. They must sum to 360 degrees.
Q. In a quadrilateral, if one angle is 90 degrees and the opposite angle is 90 degrees, what can be concluded about the quadrilateral?
  • A. It is a rectangle.
  • B. It is a square.
  • C. It is a parallelogram.
  • D. It is a trapezium.
Q. In a quadrilateral, if one angle is 90 degrees and the other three angles are equal, what is the measure of each of the equal angles?
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 75 degrees
Q. In a quadrilateral, if the lengths of all sides are equal, which of the following is true?
  • A. It is a rectangle.
  • B. It is a rhombus.
  • C. It is a square.
  • D. It can be any quadrilateral.
Q. In a quadrilateral, if the sum of the interior angles is 360 degrees, which of the following statements is true?
  • A. It can only be a rectangle.
  • B. It can be a triangle.
  • C. It can be any four-sided figure.
  • D. It can only be a square.
Q. In a quadrilateral, if three angles are 70 degrees, 80 degrees, and 90 degrees, what is the measure of the fourth angle?
  • A. 120 degrees
  • B. 100 degrees
  • C. 110 degrees
  • D. 130 degrees
Q. In a rectangle, which of the following is true about the diagonals? (2023)
  • A. They are perpendicular.
  • B. They are equal and bisect each other.
  • C. They are unequal.
  • D. They do not bisect each other.
Q. In a regular dodecagon, what is the measure of each exterior angle?
  • A. 30 degrees
  • B. 36 degrees
  • C. 24 degrees
  • D. 18 degrees
Q. In a regular hexagon, what is the measure of each interior angle?
  • A. 120 degrees
  • B. 90 degrees
  • C. 150 degrees
  • D. 60 degrees
Q. In a regular hexagon, what is the relationship between the side length and the radius of the circumscribed circle?
  • A. The radius is twice the side length.
  • B. The radius is equal to the side length.
  • C. The radius is half the side length.
  • D. The radius is three times the side length.
Q. In a regular pentagon, what is the measure of each exterior angle? (2023)
  • A. 60 degrees
  • B. 72 degrees
  • C. 90 degrees
  • D. 108 degrees
Q. In a regular pentagon, what is the measure of each interior angle?
  • A. 108 degrees
  • B. 120 degrees
  • C. 90 degrees
  • D. 72 degrees
Q. In a regular pentagon, what is the relationship between the number of sides and the number of diagonals? (2023)
  • A. Diagonals are equal to sides.
  • B. Diagonals are twice the number of sides.
  • C. Diagonals are three times the number of sides.
  • D. Diagonals are less than the number of sides.
Q. In a regular polygon, if the measure of each exterior angle is 30 degrees, how many sides does the polygon have? (2023)
  • A. 6
  • B. 8
  • C. 10
  • D. 12
Q. In a rhombus, what can be said about the angles?
  • A. All angles are equal
  • B. Opposite angles are equal
  • C. Adjacent angles are equal
  • D. All angles are right angles
Q. In a rhombus, what can be said about the diagonals?
  • A. They are equal and bisect each other at right angles.
  • B. They are unequal and bisect each other at right angles.
  • C. They are equal and do not bisect each other.
  • D. They are unequal and do not bisect each other.
Q. In a rhombus, what is the relationship between the lengths of the diagonals?
  • A. They are equal
  • B. They are perpendicular
  • C. They bisect the angles
  • D. Both B and C
Q. In a right triangle, if one angle measures 30 degrees, what is the measure of the other non-right angle?
  • A. 60 degrees
  • B. 30 degrees
  • C. 90 degrees
  • D. 45 degrees
Q. In a right triangle, if one of the angles is 30 degrees, what is the measure of the other non-right angle?
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 90 degrees
Q. In a right triangle, if one of the non-right angles is 30 degrees, what is the measure of the other non-right angle?
  • A. 60 degrees
  • B. 30 degrees
  • C. 90 degrees
  • D. 45 degrees
Q. In a right triangle, if one of the non-right angles is 45 degrees, what is the measure of the other non-right angle?
  • A. 45 degrees
  • B. 60 degrees
  • C. 30 degrees
  • D. 90 degrees
Q. In a square, if the length of one side is doubled, what happens to the area of the square?
  • A. It remains the same
  • B. It doubles
  • C. It quadruples
  • D. It increases by 50%
Q. In a trapezium, which of the following statements is true?
  • A. All sides are equal.
  • B. Only one pair of opposite sides is parallel.
  • C. Both pairs of opposite sides are parallel.
  • D. It has four right angles.
Q. In a triangle formed by the points A(1, 2), B(4, 6), and C(1, 6), which of the following statements is true?
  • A. AB is parallel to AC
  • B. AB is perpendicular to AC
  • C. AC is longer than AB
  • D. All sides are equal
Q. In a triangle, if one angle is 90 degrees, what can be inferred about the other two angles?
  • A. They are both acute angles.
  • B. One is obtuse and the other is acute.
  • C. They are both obtuse angles.
  • D. They are equal.
Q. In a triangle, if one angle is twice the size of another angle, and the third angle is 30 degrees less than the first angle, what is the measure of the smallest angle?
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 75 degrees
Q. In a triangle, if one angle is twice the size of another angle, and the third angle is 30 degrees less than the largest angle, what is the measure of the smallest angle?
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 75 degrees
Q. In a triangle, if one angle is twice the size of another angle, what is the measure of the smallest angle? (2023)
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 75 degrees
Q. In a triangle, if one angle measures 45 degrees and the other measures 45 degrees, what type of triangle is it?
  • A. Scalene
  • B. Isosceles
  • C. Equilateral
  • D. Right
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Geometry & Mensuration MCQ & Objective Questions

Geometry & 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 familiarize yourself with the exam pattern, making it easier to tackle important questions effectively.

What You Will Practise Here

  • Understanding basic geometric shapes and their properties
  • Calculating area and perimeter of various figures
  • Exploring volume and surface area of 3D shapes
  • Applying the Pythagorean theorem in problem-solving
  • Utilizing important formulas for quick calculations
  • Interpreting diagrams and visual representations
  • Solving real-life problems using mensuration concepts

Exam Relevance

Geometry & Mensuration are integral parts of the mathematics syllabus for CBSE, State Boards, NEET, and JEE. These topics frequently appear in the form of objective questions and MCQs, often focusing on the application of formulas and theorems. Students can expect questions that require both theoretical understanding and practical application, making it essential to practice regularly to excel in these exams.

Common Mistakes Students Make

  • Confusing the formulas for area and perimeter
  • Overlooking units of measurement in calculations
  • Misinterpreting diagrams, leading to incorrect answers
  • Neglecting to apply the Pythagorean theorem correctly
  • Failing to check for the conditions of geometric properties

FAQs

Question: What are the key formulas I should remember for Geometry & Mensuration?
Answer: Important formulas include area and perimeter for 2D shapes, volume and surface area for 3D shapes, and the Pythagorean theorem for right-angled triangles.

Question: How can I improve my speed in solving Geometry & Mensuration MCQs?
Answer: Regular practice of MCQs and timed quizzes can help improve your speed and accuracy in solving these types of questions.

Start solving practice MCQs today to strengthen your understanding of Geometry & Mensuration. With consistent effort, you can master these topics and achieve your desired scores in exams!

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