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. Solve for x: 5x + 3 = 2x + 12.

A. x = 3
B. x = 4
C. x = 5
D. x = 6

Solution

First, subtract 2x from both sides: 3x + 3 = 12. Then subtract 3: 3x = 9. Finally, divide by 3: x = 3.

Correct Answer: B — x = 4

Q. Solve for x: 6x + 2 = 20.

A. x = 2
B. x = 3
C. x = 4
D. x = 5

Solution

Step 1: Subtract 2 from both sides: 6x = 18. Step 2: Divide both sides by 6: x = 3.

Correct Answer: B — x = 3

Q. Solve for x: 7 - 2x = 1

A. x = 2
B. x = 3
C. x = 4
D. x = 5

Solution

Subtract 7 from both sides: -2x = -6. Divide by -2: x = 3.

Correct Answer: A — x = 2

Q. Solve for x: 7 - 3x = 1

A. x = 2
B. x = 3
C. x = 4
D. x = 5

Solution

Step 1: Subtract 7 from both sides: -3x = -6. Step 2: Divide by -3: x = 2.

Correct Answer: A — x = 2

Q. Solve for x: 7x + 1 = 22.

A. x = 2
B. x = 3
C. x = 4
D. x = 5

Solution

Step 1: Subtract 1 from both sides: 7x = 21. Step 2: Divide both sides by 7: x = 3.

Correct Answer: D — x = 5

Q. Solve for x: 7x + 2 = 23

A. x = 2
B. x = 3
C. x = 4
D. x = 5

Solution

Step 1: Subtract 2 from both sides: 7x = 21. Step 2: Divide both sides by 7: x = 3.

Correct Answer: C — x = 4

Q. Solve for x: 7x - 2 = 5x + 10

A. x = 4
B. x = 6
C. x = 8
D. x = 10

Solution

Step 1: Subtract 5x from both sides: 2x - 2 = 10. Step 2: Add 2 to both sides: 2x = 12. Step 3: Divide by 2: x = 6.

Correct Answer: A — x = 4

Q. Solve for x: 7x - 2 = 5x + 6

A. x = 1
B. x = 2
C. x = 3
D. x = 4

Solution

Step 1: Subtract 5x from both sides: 2x - 2 = 6. Step 2: Add 2 to both sides: 2x = 8. Step 3: Divide by 2: x = 4.

Correct Answer: B — x = 2

Q. Solve for x: 7x - 4 = 24

A. x = 2
B. x = 3
C. x = 4
D. x = 5

Solution

Step 1: Add 4 to both sides: 7x = 28. Step 2: Divide by 7: x = 4.

Correct Answer: D — x = 5

Q. Solve for x: 8 - 3x = 2.

A. x = 1
B. x = 2
C. x = 3
D. x = 4

Solution

Step 1: Subtract 8 from both sides: -3x = -6. Step 2: Divide both sides by -3: x = 2.

Correct Answer: B — x = 2

Q. Solve for x: 9x + 1 = 28.

A. x = 2
B. x = 3
C. x = 4
D. x = 5

Solution

Step 1: Subtract 1 from both sides: 9x = 27. Step 2: Divide both sides by 9: x = 3.

Correct Answer: B — x = 3

Q. Solve for x: cos(x) = 0.5, where 0 ≤ x < 360°.

A. 60°
B. 120°
C. 240°
D. 300°

Solution

cos(x) = 0.5 gives x = 60° and 300°.

Correct Answer: A — 60°

Q. Solve for x: x/4 + 5 = 8

A. x = 12
B. x = 16
C. x = 20
D. x = 24

Solution

Step 1: Subtract 5 from both sides: x/4 = 3. Step 2: Multiply both sides by 4: x = 12.

Correct Answer: B — x = 16

Q. Solve for x: x/4 + 5 = 9

A. x = 12
B. x = 16
C. x = 20
D. x = 24

Solution

Subtract 5 from both sides: x/4 = 4. Multiply by 4: x = 16.

Correct Answer: B — x = 16

Q. Solve for x: x/4 - 2 = 1

A. x = 8
B. x = 12
C. x = 16
D. x = 20

Solution

Add 2 to both sides: x/4 = 3. Multiply by 4: x = 12.

Correct Answer: A — x = 8

Q. Solve for x: x^2 + 2x - 8 = 0.

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

Solution

Factoring gives (x + 4)(x - 2) = 0. Thus, the solutions are x = -4 and x = 2.

Correct Answer: C — x = 4, -2

Q. Solve for x: x^2 + 4x + 4 = 0

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

Solution

Factor: (x + 2)(x + 2) = 0. So, x = -2.

Correct Answer: A — x = -2

Q. Solve for x: x^2 - 5x + 6 = 0.

A. 1
B. 2
C. 3
D. 4

Solution

Factor the equation: (x - 2)(x - 3) = 0. Thus, x = 2 or x = 3.

Correct Answer: B — 2

Q. Solve for y in the equation 2y - 3 = 7.

A. 3
B. 4
C. 5
D. 6

Solution

Add 3 to both sides: 2y = 10. Divide by 2: y = 5.

Correct Answer: C — 5

Q. Solve for y in the equation 4y - 2 = 10.

A. 2
B. 3
C. 4
D. 5

Solution

Add 2 to both sides: 4y = 12. Divide by 4: y = 3.

Correct Answer: B — 3

Q. Solve for y: 2y - 3 = 7.

A. 2
B. 3
C. 5
D. 10

Solution

2y - 3 = 7. Add 3 to both sides: 2y = 10. Divide by 2: y = 5.

Correct Answer: C — 5

Q. Solve for y: 2y - 4 = 10.

A. 5
B. 7
C. 8
D. 10

Solution

2y - 4 = 10. Add 4 to both sides: 2y = 14. Divide by 2: y = 7.

Correct Answer: B — 7

Q. Solve the equation 2x^2 + 4x - 6 = 0.

A. x = 1, -3
B. x = -1, 3
C. x = 3, -1
D. x = -3, 1

Solution

First, divide the equation by 2: x^2 + 2x - 3 = 0. Factor to (x + 3)(x - 1) = 0. Thus, x = -3 and x = 1.

Correct Answer: A — x = 1, -3

Q. Solve the equation 2x^2 - 8 = 0.

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

Solution

First, add 8 to both sides: 2x^2 = 8. Then divide by 2: x^2 = 4. Finally, take the square root: x = ±2, so the solutions are x = 2 and x = -2.

Correct Answer: C — x = 4

Q. Solve the equation 3x + 7 = 16.

A. x = 3
B. x = 2
C. x = 1
D. x = 4

Solution

To solve 3x + 7 = 16, subtract 7 from both sides: 3x = 9. Then divide by 3: x = 3.

Correct Answer: A — x = 3

Q. Solve the equation x^2 + 4x + 4 = 0.

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

Solution

This can be factored as (x + 2)(x + 2) = 0. Therefore, x = -2 is a double root.

Correct Answer: A — x = -2

Q. Solve the equation: 5x + 3 = 2x + 12

A. x = 3
B. x = 4
C. x = 5
D. x = 6

Solution

Subtract 2x from both sides: 3x + 3 = 12. Then subtract 3: 3x = 9. Finally, divide by 3: x = 3.

Correct Answer: B — x = 4

Q. Solve the inequality 2x + 3 > 7.

A. x < 2
B. x > 2
C. x < 3
D. x > 3

Solution

To solve 2x + 3 > 7, subtract 3 from both sides: 2x > 4. Then divide by 2: x > 2.

Correct Answer: B — x > 2

Q. Solve the inequality 2x + 3 ≥ 7.

A. x ≥ 2
B. x ≤ 2
C. x ≥ 3
D. x ≤ 3

Solution

Step 1: Subtract 3 from both sides: 2x ≥ 4. Step 2: Divide both sides by 2: x ≥ 2.

Correct Answer: A — x ≥ 2

Q. Solve the inequality 3x + 5 > 2.

A. x > -1
B. x < -1
C. x > 1
D. x < 1

Solution

Subtract 5 from both sides: 3x > -3. Divide by 3: x > -1.

Correct Answer: A — x > -1

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