Mathematics (School)

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Mathematics (School)

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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 are the roots of the quadratic equation x^2 - 4 = 0?

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

Solution

Step 1: Factor the equation: (x - 2)(x + 2) = 0. Step 2: Set each factor to zero: x - 2 = 0 or x + 2 = 0. Step 3: Roots are x = -2 and x = 2.

Correct Answer: A — -2, 2

Q. What are the roots of the quadratic equation x^2 - 4x - 5 = 0?

A. -1, 5
B. 1, -5
C. 5, -1
D. 5, 1

Solution

Step 1: Factor the equation: (x - 5)(x + 1) = 0. Step 2: Set each factor to zero: x - 5 = 0 or x + 1 = 0. Step 3: Roots are x = 5 and x = -1.

Correct Answer: A — -1, 5

Q. What are the roots of the quadratic equation x^2 - 5x + 6 = 0?

A. x = 1, 6
B. x = 2, 3
C. x = -2, -3
D. x = 0, 6

Solution

Step 1: Factor the equation: (x - 2)(x - 3) = 0. Step 2: Set each factor to zero: x - 2 = 0 or x - 3 = 0. Step 3: Solutions are x = 2 and x = 3.

Correct Answer: B — x = 2, 3

Q. What are the roots of the quadratic equation: x^2 + 6x + 9 = 0?

A. -3, -3
B. 3, 3
C. 0, 9
D. 1, -1

Solution

Factor the equation as (x + 3)(x + 3) = 0. Thus, the root is x = -3 (a double root).

Correct Answer: A — -3, -3

Q. What are the solutions to the equation x^2 - 10x + 21 = 0?

A. x = 3, 7
B. x = -3, -7
C. x = 1, 21
D. x = 0, 10

Solution

Factoring gives (x - 3)(x - 7) = 0. Thus, the solutions are x = 3 and x = 7.

Correct Answer: A — x = 3, 7

Q. What are the solutions to the equation x^2 - 10x + 25 = 0?

A. x = 5
B. x = 0, 5
C. x = 10
D. x = 2, 3

Solution

The equation can be factored as (x - 5)(x - 5) = 0. Thus, the solution is x = 5 (a repeated root).

Correct Answer: A — x = 5

Q. What are the solutions to the equation x^2 - 4 = 0?

A. x = 2, -2
B. x = 4, -4
C. x = 0, 4
D. x = 0, -4

Solution

Factoring gives (x - 2)(x + 2) = 0. Thus, the solutions are x = 2 and x = -2.

Correct Answer: A — x = 2, -2

Q. What are the solutions to the equation x^2 - 6x + 9 = 0?

A. x = 3, 3
B. x = -3, -3
C. x = 6, 0
D. x = 0, 6

Solution

The equation can be factored as (x - 3)(x - 3) = 0. Thus, the solution is x = 3 with multiplicity 2.

Correct Answer: A — x = 3, 3

Q. What are the solutions to the equation x^2 - 9 = 0?

A. x = 3, -3
B. x = 0, 9
C. x = 1, -1
D. x = 2, -2

Solution

Factoring gives (x - 3)(x + 3) = 0. Thus, the solutions are x = 3 and x = -3.

Correct Answer: A — x = 3, -3

Q. What are the solutions to the quadratic equation x^2 + 4x + 4 = 0?

A. x = -2, -2
B. x = 2, 2
C. x = -4, 0
D. x = 0, 4

Solution

Step 1: Factor the equation: (x + 2)(x + 2) = 0. Step 2: Set the factor to zero: x + 2 = 0. Step 3: Solution is x = -2 (double root).

Correct Answer: A — x = -2, -2

Q. What can be concluded if two angles are supplementary and one of them is 90 degrees?

A. Both angles are acute.
B. Both angles are right angles.
C. The other angle is 90 degrees.
D. The other angle is obtuse.

Solution

If two angles are supplementary, their sum is 180 degrees. If one angle is 90 degrees, the other must also be 90 degrees.

Correct Answer: C — The other angle is 90 degrees.

Q. What can be concluded if two angles are supplementary and one of them is an exterior angle formed by a transversal intersecting two parallel lines?

A. They are both acute.
B. They are both obtuse.
C. One is an interior angle.
D. They are equal.

Solution

If one angle is an exterior angle formed by a transversal intersecting two parallel lines, the other angle must be an interior angle, as they are supplementary.

Correct Answer: C — One is an interior angle.

Q. What can be concluded if two lines are cut by a transversal and the alternate exterior angles are equal?

A. The lines are parallel.
B. The lines are perpendicular.
C. The lines intersect.
D. No conclusion can be made.

Solution

If the alternate exterior angles are equal, by the Alternate Exterior Angles Theorem, the lines are parallel.

Correct Answer: A — The lines are parallel.

Q. What can be concluded if two lines are cut by a transversal and the alternate interior angles are equal?

A. The lines are parallel.
B. The lines are perpendicular.
C. The lines intersect.
D. The angles are complementary.

Solution

If the alternate interior angles are equal, it can be concluded that the two lines are parallel.

Correct Answer: A — The lines are parallel.

Q. What is 0.25 + 0.75?

A. 0.90
B. 1.00
C. 1.25
D. 1.50

Solution

0.25 + 0.75 = 1.00

Correct Answer: B — 1.00

Q. What is 0.3 × 3?

A. 0.6
B. 0.7
C. 0.8
D. 0.9

Solution

0.3 × 3 = 0.9

Correct Answer: D — 0.9

Q. What is 0.4 + 0.6?

A. 0.8
B. 0.9
C. 1.0
D. 1.1

Solution

0.4 + 0.6 = 1.0

Correct Answer: A — 0.8

Q. What is 0.4 × 5?

A. 1.0
B. 1.5
C. 2.0
D. 2.5

Solution

0.4 × 5 = 2.0

Correct Answer: C — 2.0

Q. What is 0.5 + 0.3?

A. 0.6
B. 0.7
C. 0.8
D. 0.9

Solution

0.5 + 0.3 = 0.8

Correct Answer: B — 0.7

Q. What is 0.6 + 0.4?

A. 0.8
B. 1.0
C. 1.2
D. 1.4

Solution

0.6 + 0.4 = 1.0

Correct Answer: B — 1.0

Q. What is 0.6 x 5?

A. 2.5
B. 3.0
C. 3.5
D. 4.0

Solution

0.6 x 5 = 3.0

Correct Answer: B — 3.0

Q. What is 0.6 × 2?

A. 1.0
B. 1.2
C. 1.4
D. 1.6

Solution

0.6 × 2 = 1.2

Correct Answer: B — 1.2

Q. What is 0.75 + 0.25?

A. 1.0
B. 0.5
C. 1.5
D. 0.75

Solution

0.75 + 0.25 = 1.0

Correct Answer: A — 1.0

Q. What is 0.8 × 5?

A. 3.0
B. 3.5
C. 4.0
D. 4.5

Solution

0.8 × 5 = 4.0

Correct Answer: C — 4.0

Q. What is 0.9 + 0.1?

A. 0.8
B. 0.9
C. 1.0
D. 1.1

Solution

0.9 + 0.1 = 1.0

Correct Answer: C — 1.0

Q. What is 0.9 - 0.2?

A. 0.5
B. 0.6
C. 0.7
D. 0.8

Solution

0.9 - 0.2 = 0.7

Correct Answer: B — 0.6

Q. What is 1 - 1/2?

A. 1/2
B. 1/4
C. 0
D. 1

Solution

1 - 1/2 = 1/2

Correct Answer: A — 1/2

Q. What is 1.0 ÷ 0.2?

A. 4.0
B. 5.0
C. 6.0
D. 7.0

Solution

1.0 ÷ 0.2 = 5.0

Correct Answer: A — 4.0

Q. What is 1.2 + 0.8?

A. 1.8
B. 2.0
C. 2.2
D. 2.4

Solution

1.2 + 0.8 = 2.0

Correct Answer: A — 1.8

Q. What is 1.2 + 1.8?

A. 2.8
B. 3.0
C. 3.2
D. 3.4

Solution

1.2 + 1.8 = 3.0

Correct Answer: A — 2.8

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