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!
Q. What is the value of x in the equation 3x^2 + 12x + 12 = 0?
A.
x = -2
B.
x = -4
C.
x = 0
D.
x = 2
Show solution
Solution
Divide the equation by 3: x^2 + 4x + 4 = 0. Factor: (x + 2)(x + 2) = 0, giving x = -2.
Correct Answer:
B
— x = -4
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Q. What is the value of x in the equation 3x^2 - 12 = 0?
Show solution
Solution
Add 12 to both sides: 3x^2 = 12. Divide by 3: x^2 = 4. Take the square root: x = 2 or x = -2.
Correct Answer:
A
— 2
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Q. What is the value of x in the equation 4(x - 1) = 2(x + 3)?
A.
x = 5
B.
x = 4
C.
x = 3
D.
x = 2
Show solution
Solution
Step 1: Distribute: 4x - 4 = 2x + 6. Step 2: Subtract 2x from both sides: 2x - 4 = 6. Step 3: Add 4: 2x = 10. Step 4: Divide by 2: x = 5.
Correct Answer:
C
— x = 3
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Q. What is the value of x in the equation 4(x - 1) = 2x + 6?
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5
Show solution
Solution
Distribute: 4x - 4 = 2x + 6. Subtract 2x from both sides: 2x - 4 = 6. Add 4: 2x = 10. Divide by 2: x = 5.
Correct Answer:
B
— x = 3
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Q. What is the value of x in the equation 4x + 5 = 2x + 17?
Show solution
Solution
Step 1: Subtract 2x from both sides: 2x + 5 = 17. Step 2: Subtract 5 from both sides: 2x = 12. Step 3: Divide by 2: x = 6.
Correct Answer:
A
— 3
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Q. What is the value of x in the equation 4x - 12 = 0?
Show solution
Solution
Add 12 to both sides: 4x = 12. Then divide by 4: x = 3.
Correct Answer:
A
— 3
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Q. What is the value of x in the equation 4x - 7 = 5?
A.
x = 1
B.
x = 2
C.
x = 3
D.
x = 4
Show solution
Solution
Add 7 to both sides: 4x = 12. Then divide by 4: x = 3.
Correct Answer:
B
— x = 2
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Q. What is the value of x in the equation 4x - 7 = 5x + 2?
A.
x = -9
B.
x = 11
C.
x = 1
D.
x = -1
Show solution
Solution
Step 1: Subtract 4x from both sides: -7 = x + 2. Step 2: Subtract 2 from both sides: -9 = x. Therefore, x = -9.
Correct Answer:
C
— x = 1
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Q. What is the value of x in the equation 4x^2 - 12x + 9 = 0?
Show solution
Solution
Factor the equation: (2x - 3)(2x - 3) = 0. Thus, x = 3.
Correct Answer:
C
— 3
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Q. What is the value of x in the equation 4x^2 - 12x = 0?
A.
x = 0 or x = 3
B.
x = 1 or x = 4
C.
x = 2 or x = 6
D.
x = -3 or x = 4
Show solution
Solution
Factor: 4x(x - 3) = 0. So, x = 0 or x = 3.
Correct Answer:
A
— x = 0 or x = 3
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Q. What is the value of x in the equation 4x^2 - 16 = 0?
A.
x = 2
B.
x = -2
C.
x = 4
D.
x = -4
Show solution
Solution
Step 1: Add 16 to both sides: 4x^2 = 16. Step 2: Divide by 4: x^2 = 4. Step 3: Take the square root: x = 2 or x = -2.
Correct Answer:
A
— x = 2
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Q. What is the value of x in the equation 5(x - 1) = 20?
A.
x = 3
B.
x = 4
C.
x = 5
D.
x = 6
Show solution
Solution
Divide both sides by 5: x - 1 = 4. Then add 1: x = 5.
Correct Answer:
B
— x = 4
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Q. What is the value of x in the equation 5(x - 1) = 3x + 7?
A.
x = 4
B.
x = 5
C.
x = 6
D.
x = 3
Show solution
Solution
Step 1: Distribute: 5x - 5 = 3x + 7. Step 2: Subtract 3x from both sides: 2x - 5 = 7. Step 3: Add 5: 2x = 12. Step 4: Divide by 2: x = 6.
Correct Answer:
A
— x = 4
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Q. What is the value of x in the equation 5x + 2 = 3x + 10?
A.
x = 4
B.
x = 3
C.
x = 2
D.
x = 1
Show solution
Solution
Step 1: Subtract 3x from both sides: 2x + 2 = 10. Step 2: Subtract 2 from both sides: 2x = 8. Step 3: Divide by 2: x = 4.
Correct Answer:
A
— x = 4
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Q. What is the value of x in the equation 5x + 3 = 18?
A.
x = 3
B.
x = 4
C.
x = 5
D.
x = 2
Show solution
Solution
To solve 5x + 3 = 18, subtract 3 from both sides: 5x = 15. Then divide by 5: x = 3.
Correct Answer:
B
— x = 4
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Q. What is the value of x in the equation 5x - 2 = 3x + 6?
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5
Show solution
Solution
Subtract 3x from both sides: 2x - 2 = 6. Then add 2: 2x = 8. Finally, divide by 2: x = 4.
Correct Answer:
A
— x = 2
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Q. What is the value of x in the equation 5x^2 - 20 = 0?
A.
x = 0
B.
x = 2
C.
x = -2
D.
x = 4
Show solution
Solution
Add 20 to both sides: 5x^2 = 20. Divide by 5: x^2 = 4. Take the square root: x = ±2.
Correct Answer:
B
— x = 2
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Q. What is the value of x in the equation 6x + 2 = 20?
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5
Show solution
Solution
Step 1: Subtract 2 from both sides: 6x = 18. Step 2: Divide both sides by 6: x = 3.
Correct Answer:
C
— x = 4
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Q. What is the value of x in the equation 6x - 2 = 4?
A.
x = 0
B.
x = 1
C.
x = 2
D.
x = 3
Show solution
Solution
Step 1: Add 2 to both sides: 6x = 6. Step 2: Divide both sides by 6: x = 1.
Correct Answer:
B
— x = 1
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Q. What is the value of x in the equation 7x + 2 = 23?
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5
Show solution
Solution
Subtract 2: 7x = 21. Divide by 7: x = 3.
Correct Answer:
C
— x = 4
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Q. What is the value of x in the equation 7x - 14 = 0?
A.
x = 0
B.
x = 1
C.
x = 2
D.
x = 3
Show solution
Solution
Step 1: Add 14 to both sides: 7x = 14. Step 2: Divide both sides by 7: x = 2.
Correct Answer:
C
— x = 2
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Q. What is the value of x in the equation 7x - 2 = 5x + 6?
Show solution
Solution
Subtract 5x from both sides: 2x - 2 = 6. Add 2 to both sides: 2x = 8. Divide by 2: x = 4.
Correct Answer:
A
— 1
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Q. What is the value of x in the equation x/3 + 2 = 5?
A.
x = 9
B.
x = 6
C.
x = 3
D.
x = 12
Show solution
Solution
Step 1: Subtract 2 from both sides: x/3 = 3. Step 2: Multiply both sides by 3: x = 9.
Correct Answer:
A
— x = 9
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Q. What is the value of x in the equation x^2 + 2x - 15 = 0?
A.
x = 3, -5
B.
x = -3, 5
C.
x = 5, -3
D.
x = -5, 3
Show solution
Solution
Factoring gives (x - 3)(x + 5) = 0. Thus, x = 3 or x = -5.
Correct Answer:
C
— x = 5, -3
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Q. What is the value of x in the equation x^2 + 4x + 4 = 0?
Show solution
Solution
Factor the quadratic: (x + 2)(x + 2) = 0. Thus, x = -2.
Correct Answer:
A
— -2
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Q. What is the value of x in the equation x^2 + 6x + 9 = 0?
Show solution
Solution
This is a perfect square trinomial: (x + 3)^2 = 0. Therefore, x + 3 = 0, which gives x = -3.
Correct Answer:
A
— -3
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Q. What is the value of x in the equation x^2 - 16 = 0?
A.
x = 4
B.
x = -4
C.
x = 0
D.
x = ±4
Show solution
Solution
Factor the equation: (x - 4)(x + 4) = 0. Thus, x = 4 or x = -4.
Correct Answer:
D
— x = ±4
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Q. What is the value of x in the equation x^2 - 4 = 0?
A.
-2
B.
2
C.
0
D.
Both -2 and 2
Show solution
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. Solutions are x = 2 and x = -2.
Correct Answer:
D
— Both -2 and 2
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Q. What is the value of x in the equation x^2 - 5x + 6 = 0?
Show solution
Solution
Step 1: Factor the quadratic: (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 or x = 3.
Correct Answer:
C
— 3
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Q. What is the value of x in the equation x^2 - 9 = 0?
A.
x = 3
B.
x = -3
C.
x = 0
D.
x = ±3
Show solution
Solution
Step 1: Factor the equation: (x - 3)(x + 3) = 0. Step 2: Set each factor to zero: x - 3 = 0 or x + 3 = 0. Step 3: Solutions are x = 3 and x = -3.
Correct Answer:
D
— x = ±3
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