Mathematics (School)

My Learning Cart

Mathematics (School)

Download Q&A

Mathematics (School) MCQ & Objective Questions

Mathematics is a crucial subject in school education, forming the foundation for various competitive exams. Mastering Mathematics (School) not only enhances problem-solving skills but also boosts confidence during exams. Practicing MCQs and objective questions is essential for effective exam preparation, as it helps students identify important questions and understand concepts clearly.

What You Will Practise Here

Number Systems and their properties
Algebraic Expressions and Equations
Geometry: Angles, Triangles, and Circles
Statistics and Probability concepts
Mensuration: Area, Volume, and Surface Area
Trigonometry basics and applications
Functions and Graphs

Exam Relevance

Mathematics (School) is a significant part of the curriculum for CBSE and State Boards, as well as competitive exams like NEET and JEE. Students can expect a variety of question patterns, including direct application of formulas, conceptual understanding, and problem-solving scenarios. Familiarity with MCQs in this subject can greatly enhance performance in both board and competitive examinations.

Common Mistakes Students Make

Misinterpreting the question, leading to incorrect answers.
Overlooking the importance of units in measurement-related problems.
Confusing similar formulas, especially in Geometry and Algebra.
Neglecting to check calculations, resulting in simple arithmetic errors.
Failing to understand the underlying concepts, which affects problem-solving ability.

FAQs

Question: How can I improve my speed in solving Mathematics (School) MCQs?
Answer: Regular practice with timed quizzes and mock tests can significantly enhance your speed and accuracy.

Question: Are there any specific topics I should focus on for competitive exams?
Answer: Focus on Algebra, Geometry, and Statistics, as these areas frequently appear in competitive exams.

Start your journey towards mastering Mathematics (School) today! Solve practice MCQs to test your understanding and prepare effectively for your exams. Remember, consistent practice leads to success!

Algebra (Secondary) Arithmetic (Primary) Geometry Statistics & Probability Trigonometry

Q. What is the range of the data set: 15, 22, 8, 19, 30?

A. 22
B. 15
C. 30
D. 7

Solution

Range = max - min = 30 - 8 = 22.

Correct Answer: A — 22

Q. What is the range of the data set: 7, 3, 9, 5, 12?

A. 5
B. 6
C. 7
D. 9

Solution

Range = max - min = 12 - 3 = 9.

Correct Answer: B — 6

Q. What is the range of the following data set: 15, 22, 8, 19, 30?

A. 22
B. 15
C. 30
D. 7

Solution

Range = max - min = 30 - 8 = 22.

Correct Answer: A — 22

Q. What is the range of the function y = -x^2 + 4?

A. y ≤ 4
B. y ≥ 4
C. y < 4
D. y > 4

Solution

The vertex is at (0, 4) and opens downwards, so the range is y ≤ 4.

Correct Answer: A — y ≤ 4

Q. What is the range of the function y = 2sin(x)?

A. [-2, 2]
B. [-1, 1]
C. [0, 2]
D. (-∞, ∞)

Solution

The range of y = 2sin(x) is [-2, 2] because the sine function oscillates between -1 and 1.

Correct Answer: A — [-2, 2]

Q. What is the range of the function y = 4sin(x)?

A. [-4, 4]
B. [-1, 1]
C. [0, 4]
D. [-2, 2]

Solution

The range of y = Asin(Bx) is [-|A|, |A|]. Here, A = 4, so the range is [-4, 4].

Correct Answer: A — [-4, 4]

Q. What is the ratio in which the point (3, 4) divides the line segment joining (1, 2) and (5, 6)?

A. 1:2
B. 2:1
C. 3:1
D. 1:3

Solution

Using the section formula, we can find the ratio by solving for m:n in the equations derived from the coordinates.

Correct Answer: B — 2:1

Q. What is the ratio in which the point (3, 5) divides the line segment joining (1, 2) and (5, 8)?

A. 1:2
B. 2:1
C. 3:1
D. 1:3

Solution

Using the section formula, we find the ratio is 2:1.

Correct Answer: B — 2:1

Q. What is the ratio of the areas of two similar triangles if the ratio of their corresponding sides is 3:4?

A. 3:4
B. 9:16
C. 12:16
D. 1:1

Solution

The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. Therefore, (3/4)^2 = 9/16.

Correct Answer: B — 9:16

Q. What is the ratio of the areas of two similar triangles if the ratio of their corresponding sides is 3:5?

A. 3:5
B. 9:25
C. 15:25
D. 5:3

Solution

The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. (3/5)^2 = 9/25.

Correct Answer: B — 9:25

Q. What is the relationship between the angles formed by two intersecting lines?

A. They are equal.
B. They are complementary.
C. They are supplementary.
D. They are not related.

Solution

The angles formed by two intersecting lines are supplementary, meaning they add up to 180 degrees.

Correct Answer: C — They are supplementary.

Q. What is the relationship between the angles formed by two parallel lines cut by a transversal?

A. All angles are equal.
B. Corresponding angles are equal.
C. Alternate exterior angles are equal.
D. Both B and C.

Solution

Corresponding angles and alternate exterior angles are equal when two parallel lines are cut by a transversal.

Correct Answer: D — Both B and C.

Q. What is the relationship between the angles formed by two tangents drawn from a point outside a circle?

A. They are equal
B. They are supplementary
C. They are complementary
D. They are congruent

Solution

The angles formed by two tangents drawn from a point outside a circle to the points of tangency are equal.

Correct Answer: A — They are equal

Q. What is the relationship between the angles formed by two tangents drawn from a point outside the circle?

A. They are equal
B. They are supplementary
C. They are complementary
D. They are congruent

Solution

The angles formed by two tangents drawn from a point outside the circle are equal.

Correct Answer: A — They are equal

Q. What is the relationship between the angles in similar triangles?

A. They are equal
B. They are supplementary
C. They are complementary
D. They are congruent

Solution

In similar triangles, corresponding angles are equal.

Correct Answer: A — They are equal

Q. What is the relationship between the angles of a triangle and its sides?

A. Larger angles are opposite longer sides
B. Smaller angles are opposite longer sides
C. All angles are equal
D. None of the above

Solution

In a triangle, larger angles are always opposite longer sides, which is a fundamental property of triangles.

Correct Answer: A — Larger angles are opposite longer sides

Q. What is the relationship between the angles of two congruent triangles?

A. They are always equal
B. They can be different
C. They are supplementary
D. They are complementary

Solution

In congruent triangles, all corresponding angles are equal.

Correct Answer: A — They are always equal

Q. What is the relationship between the angles of two parallel lines cut by a transversal?

A. They are all equal
B. They are supplementary
C. They are complementary
D. They are congruent

Solution

When two parallel lines are cut by a transversal, the interior angles on the same side are supplementary.

Correct Answer: B — They are supplementary

Q. What is the relationship between the angles subtended by an arc at the center and at any point on the remaining part of the circle?

A. The angle at the center is half
B. The angle at the center is double
C. They are equal
D. The angle at the center is zero

Solution

The angle subtended by an arc at the center is always double the angle subtended at any point on the remaining part of the circle.

Correct Answer: B — The angle at the center is double

Q. What is the relationship between the angles subtended by the same arc at the center and at any point on the remaining part of the circle?

A. They are equal
B. The angle at the center is double
C. The angle at the center is half
D. They are supplementary

Solution

The angle subtended at the center is always double the angle subtended at any point on the remaining part of the circle.

Correct Answer: B — The angle at the center is double

Q. What is the relationship between the angles subtended by the same arc at the center and at the circumference of the circle?

A. The angle at the center is half of the angle at the circumference
B. The angle at the center is equal to the angle at the circumference
C. The angle at the center is double the angle at the circumference
D. There is no relationship

Solution

The angle subtended at the center of the circle is always double the angle subtended at the circumference by the same arc.

Correct Answer: C — The angle at the center is double the angle at the circumference

Q. What is the relationship between the angles subtended by the same arc at the center and at the circumference?

A. They are equal
B. The angle at the center is twice the angle at the circumference
C. The angle at the circumference is twice the angle at the center
D. They are complementary

Solution

The angle subtended at the center is always twice the angle subtended at the circumference by the same arc.

Correct Answer: B — The angle at the center is twice the angle at the circumference

Q. What is the relationship between the angles subtended by the same arc at the center and on the circumference of a circle?

A. They are equal
B. The angle at the center is twice the angle at the circumference
C. The angle at the circumference is twice the angle at the center
D. They are complementary

Solution

The angle subtended at the center of a circle is always twice the angle subtended at the circumference by the same arc.

Correct Answer: B — The angle at the center is twice the angle at the circumference

Q. What is the relationship between the angles subtended by the same arc at the center and at any point on the circumference?

A. The angle at the center is double
B. The angle at the center is half
C. They are equal
D. They are supplementary

Solution

The angle subtended at the center is always double the angle subtended at any point on the circumference.

Correct Answer: A — The angle at the center is double

Q. What is the relationship between the consecutive interior angles formed by a transversal intersecting two parallel lines?

A. They are equal.
B. They are complementary.
C. They are supplementary.
D. They are adjacent.

Solution

Consecutive interior angles are supplementary when two parallel lines are cut by a transversal.

Correct Answer: C — They are supplementary.

Q. What is the relationship between the exterior angle and the interior angle on the same side when two parallel lines are cut by a transversal?

A. They are equal.
B. They are complementary.
C. They are supplementary.
D. They are not related.

Solution

The exterior angle and the interior angle on the same side are supplementary when two parallel lines are cut by a transversal.

Correct Answer: C — They are supplementary.

Q. What is the relationship between the exterior angle and the interior angle on the same side of a transversal intersecting two parallel lines?

A. They are equal.
B. They are complementary.
C. They are supplementary.
D. They are not related.

Solution

The Exterior Angle Theorem states that the exterior angle is supplementary to the interior angle on the same side of the transversal.

Correct Answer: C — They are supplementary.

Q. What is the relationship between the exterior angle and the two interior opposite angles in a triangle formed by a transversal intersecting two parallel lines?

A. The exterior angle is equal to the sum of the two interior opposite angles.
B. The exterior angle is less than the sum of the two interior opposite angles.
C. The exterior angle is greater than the sum of the two interior opposite angles.
D. There is no relationship.

Solution

The exterior angle is equal to the sum of the two interior opposite angles in a triangle.

Correct Answer: A — The exterior angle is equal to the sum of the two interior opposite angles.

Q. What is the relationship between the exterior angle of a triangle and the two opposite interior angles?

A. The exterior angle is equal to the sum of the opposite interior angles.
B. The exterior angle is less than the sum of the opposite interior angles.
C. The exterior angle is greater than the sum of the opposite interior angles.
D. There is no relationship.

Solution

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Correct Answer: A — The exterior angle is equal to the sum of the opposite interior angles.

Q. What is the relationship between the lengths of the tangents drawn from an external point to a circle?

A. They are equal
B. They are unequal
C. They depend on the radius
D. They are always zero

Solution

The lengths of the tangents drawn from an external point to a circle are always equal.

Correct Answer: A — They are equal

Showing 2131 to 2160 of 2594 (87 Pages)

School

College

Degree

Competitve

Skills

Soulshift Feedback ×

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

Not likely Very likely