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. If 3 times a number plus 4 equals 19, what is the number?
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Solution
Let the number be x. The equation is 3x + 4 = 19. Subtracting 4 from both sides gives 3x = 15. Dividing by 3 gives x = 5.
Correct Answer:
B
— 5
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Q. If 3(x + 2) < 2(x + 5), what is the value of x?
A.
x < 1
B.
x > 1
C.
x = 1
D.
x = 0
Show solution
Solution
Step 1: Distribute: 3x + 6 < 2x + 10. Step 2: Subtract 2x from both sides: x + 6 < 10. Step 3: Subtract 6: x < 4.
Correct Answer:
A
— x < 1
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Q. If 3(x - 1) < 2x + 4, what is the solution for x?
A.
x < 7
B.
x > 7
C.
x < 5
D.
x > 5
Show solution
Solution
Step 1: Distribute: 3x - 3 < 2x + 4. Step 2: Subtract 2x: x - 3 < 4. Step 3: Add 3: x < 7.
Correct Answer:
C
— x < 5
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Q. If 3(x - 1) < 2x + 4, what is the value of x?
A.
x < 7
B.
x > 7
C.
x < 1
D.
x > 1
Show solution
Solution
Step 1: Distribute: 3x - 3 < 2x + 4. Step 2: Subtract 2x: x - 3 < 4. Step 3: Add 3: x < 7.
Correct Answer:
A
— x < 7
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Q. If 3(x - 2) = 12, what is x?
A.
x = 4
B.
x = 6
C.
x = 8
D.
x = 10
Show solution
Solution
Step 1: Divide both sides by 3: x - 2 = 4. Step 2: Add 2 to both sides: x = 6.
Correct Answer:
B
— x = 6
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Q. If 3(x - 4) = 9, what is x?
A.
x = 1
B.
x = 4
C.
x = 7
D.
x = 10
Show solution
Solution
Step 1: Divide both sides by 3: x - 4 = 3. Step 2: Add 4 to both sides: x = 7.
Correct Answer:
C
— x = 7
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Q. If 3x + 2 < 5, what is the value of x?
A.
x < 1
B.
x > 1
C.
x < 2
D.
x > 2
Show solution
Solution
Step 1: Subtract 2 from both sides: 3x < 3. Step 2: Divide by 3: x < 1.
Correct Answer:
A
— x < 1
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Q. If 3x + 4 < 2x + 10, what is the value of x?
A.
x < 6
B.
x > 6
C.
x < 2
D.
x > 2
Show solution
Solution
Step 1: Subtract 2x from both sides: x + 4 < 10. Step 2: Subtract 4: x < 6.
Correct Answer:
A
— x < 6
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Q. If 3x + 4 = 19, what is x?
A.
x = 3
B.
x = 5
C.
x = 4
D.
x = 6
Show solution
Solution
Subtract 4 from both sides: 3x = 15. Divide by 3: x = 5.
Correct Answer:
B
— x = 5
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Q. If 4 times a number decreased by 2 equals 10, what is the number?
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Solution
Let the number be x. The equation is 4x - 2 = 10. Adding 2 to both sides gives 4x = 12. Dividing by 4 gives x = 3.
Correct Answer:
C
— 4
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Q. If 4 times a number is increased by 6, the result is 30. What is the number?
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Solution
Let the number be x. Then, 4x + 6 = 30. Subtracting 6 from both sides gives 4x = 24. Dividing by 4 gives x = 6.
Correct Answer:
B
— 7
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Q. If 4x + 1 = 2x + 9, what is x?
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5
Show solution
Solution
Step 1: Subtract 2x from both sides: 2x + 1 = 9. Step 2: Subtract 1 from both sides: 2x = 8. Step 3: Divide by 2: x = 4.
Correct Answer:
B
— x = 3
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Q. If 4x + 5 = 29, what is the value of x?
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Solution
Subtract 5 from both sides: 4x = 24. Divide by 4: x = 6.
Correct Answer:
C
— 6
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Q. If 4x - 1 < 3x + 2, what is the value of x?
A.
x < 3
B.
x > 3
C.
x < 1
D.
x > 1
Show solution
Solution
Step 1: Subtract 3x from both sides: x - 1 < 2. Step 2: Add 1: x < 3.
Correct Answer:
A
— x < 3
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Q. If 4x - 7 < 9, what is the maximum value of x?
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Solution
Step 1: Add 7 to both sides: 4x < 16. Step 2: Divide by 4: x < 4.
Correct Answer:
B
— 3
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Q. If 5 times a number decreased by 3 equals 12, what is the number?
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Solution
Let the number be x. The equation is: 5x - 3 = 12. Adding 3 to both sides gives 5x = 15, so x = 3.
Correct Answer:
C
— 4
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Q. If 5 times a number is decreased by 2, the result is 18. What is the number?
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Solution
Let the number be x. Then, 5x - 2 = 18. Adding 2 to both sides gives 5x = 20. Dividing by 5 gives x = 4.
Correct Answer:
C
— 6
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Q. If 5(x - 1) = 15, what is x?
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5
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Solution
Step 1: Divide both sides by 5: x - 1 = 3. Step 2: Add 1 to both sides: x = 4.
Correct Answer:
D
— x = 5
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Q. If 5(x - 1) = 20, what is x?
A.
x = 3
B.
x = 4
C.
x = 5
D.
x = 6
Show solution
Solution
Step 1: Divide both sides by 5: x - 1 = 4. Step 2: Add 1 to both sides: x = 5.
Correct Answer:
D
— x = 6
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Q. If 5x + 2 > 12, what is the smallest integer value of x?
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Solution
Subtract 2 from both sides: 5x > 10. Then divide by 5: x > 2.
Correct Answer:
C
— 3
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Q. If 5x + 2 < 17, what is the largest integer value of x?
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Solution
Subtract 2: 5x < 15. Divide by 5: x < 3. The largest integer is 2.
Correct Answer:
C
— 4
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Q. If 5x + 2 = 3x + 10, what is the value of x?
A.
x = 1
B.
x = 2
C.
x = 3
D.
x = 4
Show solution
Solution
Subtract 3x from both sides: 2x + 2 = 10. Then subtract 2: 2x = 8. Finally, divide by 2: x = 4.
Correct Answer:
B
— x = 2
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Q. If 5x + 2y = 20 and y = 2, what is the value of x?
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Solution
Substitute y = 2 into 5x + 2(2) = 20. This gives 5x + 4 = 20. Subtract 4: 5x = 16. Divide by 5: x = 16/5 = 3.2.
Correct Answer:
C
— 4
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Q. If 5x - 2 > 3x + 6, what is the value of x?
A.
x < 4
B.
x > 4
C.
x = 4
D.
x = 3
Show solution
Solution
Step 1: Subtract 3x from both sides: 2x - 2 > 6. Step 2: Add 2: 2x > 8. Step 3: Divide by 2: x > 4.
Correct Answer:
B
— x > 4
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Q. If 5x - 2 ≤ 3, what is the maximum value of x?
A.
x ≤ 1
B.
x ≤ 2
C.
x ≤ 3
D.
x ≤ 4
Show solution
Solution
Step 1: Add 2 to both sides: 5x ≤ 5. Step 2: Divide by 5: x ≤ 1.
Correct Answer:
A
— x ≤ 1
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Q. If 6x - 3 = 3x + 12, what is the value of x?
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Solution
Subtract 3x from both sides: 3x - 3 = 12. Add 3: 3x = 15. Divide by 3: x = 5.
Correct Answer:
B
— 4
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Q. If 6x - 4 = 26, what is x?
A.
x = 4
B.
x = 5
C.
x = 6
D.
x = 7
Show solution
Solution
Step 1: Add 4 to both sides: 6x = 30. Step 2: Divide both sides by 6: x = 5.
Correct Answer:
B
— x = 5
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Q. If 7x - 3 = 4x + 6, what is x?
A.
x = 1
B.
x = 2
C.
x = 3
D.
x = 4
Show solution
Solution
Subtract 4x from both sides: 3x - 3 = 6. Add 3: 3x = 9. Divide by 3: x = 3.
Correct Answer:
B
— x = 2
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Q. If 8 - 2x = 0, what is x?
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5
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Solution
Step 1: Subtract 8 from both sides: -2x = -8. Step 2: Divide by -2: x = 4.
Correct Answer:
A
— x = 2
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Q. If 8 - 3x = 2, what is x?
A.
x = 1
B.
x = 2
C.
x = 3
D.
x = 4
Show solution
Solution
Step 1: Subtract 8 from both sides: -3x = -6. Step 2: Divide both sides by -3: x = 2.
Correct Answer:
A
— x = 1
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