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. In triangle XYZ, if XY = 8 cm, XZ = 6 cm, and YZ = 10 cm, which side is the longest?
A.
XY
B.
XZ
C.
YZ
D.
All sides are equal
Show solution
Solution
YZ is the longest side since 10 cm is greater than both 8 cm and 6 cm.
Correct Answer:
C
— YZ
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Q. In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, what type of triangle is it?
A.
Equilateral
B.
Isosceles
C.
Scalene
D.
Right
Show solution
Solution
Triangle XYZ has all sides of different lengths (8 cm, 6 cm, 10 cm), so it is a scalene triangle.
Correct Answer:
C
— Scalene
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Q. In triangle XYZ, if XY = 8, YZ = 6, and XZ = 10, what type of triangle is it?
A.
Equilateral
B.
Isosceles
C.
Scalene
D.
Right
Show solution
Solution
Triangle XYZ is a right triangle because 8^2 + 6^2 = 10^2.
Correct Answer:
D
— Right
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Q. In triangle XYZ, if XY = 8, YZ = 6, and XZ = 10, which side is the longest?
A.
XY
B.
YZ
C.
XZ
D.
All sides are equal
Show solution
Solution
The longest side in triangle XYZ is XZ, which measures 10 units.
Correct Answer:
C
— XZ
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Q. Solve for x in the equation 2(x - 3) = 4.
Show solution
Solution
Divide both sides by 2: x - 3 = 2. Add 3: x = 5.
Correct Answer:
A
— 1
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Q. Solve for x in the equation 4(x - 1) = 2(x + 3).
A.
x = 5
B.
x = 1
C.
x = 2
D.
x = 3
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:
A
— x = 5
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Q. Solve for x in the equation 5x^2 + 10x = 0.
A.
x = 0, -2
B.
x = 2, -2
C.
x = 0, 2
D.
x = -5, 5
Show solution
Solution
Factoring gives 5x(x + 2) = 0. Thus, x = 0 or x + 2 = 0, giving x = -2.
Correct Answer:
A
— x = 0, -2
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Q. Solve for x in the equation 7x + 2 = 23.
Show solution
Solution
Subtract 2 from both sides: 7x = 21. Divide by 7: x = 3.
Correct Answer:
C
— 4
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Q. Solve for x in the equation x^2 + 4x + 4 = 0.
A.
x = -2
B.
x = 2
C.
x = 0
D.
x = -4
Show solution
Solution
This factors to (x + 2)(x + 2) = 0. Therefore, x = -2.
Correct Answer:
A
— x = -2
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Q. Solve for x in the equation x^2 + 6x + 9 = 0.
A.
x = -3
B.
x = 3
C.
x = 0
D.
x = -9
Show solution
Solution
Factor the equation: (x + 3)(x + 3) = 0. Thus, x = -3.
Correct Answer:
A
— x = -3
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Q. Solve for x in the equation x^2 - 4 = 0.
A.
x = 2, -2
B.
x = 4, -4
C.
x = 0
D.
x = 1, -1
Show solution
Solution
Factoring gives (x - 2)(x + 2) = 0. Thus, the solutions are x = 2 and x = -2.
Correct Answer:
A
— x = 2, -2
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Q. Solve for x: 2(x + 3) = 14
A.
x = 4
B.
x = 5
C.
x = 6
D.
x = 7
Show solution
Solution
Divide by 2: x + 3 = 7. Subtract 3: x = 4.
Correct Answer:
A
— x = 4
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Q. Solve for x: 2(x - 3) = 4.
Show solution
Solution
Distribute: 2x - 6 = 4. Add 6 to both sides: 2x = 10. Divide by 2: x = 5.
Correct Answer:
B
— 2
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Q. Solve for x: 2sin(x) = √3, where 0 ≤ x < 360°.
A.
30°
B.
150°
C.
210°
D.
330°
Show solution
Solution
sin(x) = √3/2 gives x = 60° and 120°, so 2sin(x) = √3 gives x = 150°.
Correct Answer:
B
— 150°
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Q. Solve for x: 2x - 3 = 5.
Show solution
Solution
2x - 3 = 5. Add 3 to both sides: 2x = 8. Divide by 2: x = 4.
Correct Answer:
B
— 2
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Q. Solve for x: 2x - 4 = 10.
Show solution
Solution
2x - 4 = 10. Add 4 to both sides: 2x = 14. Divide by 2: x = 7.
Correct Answer:
B
— 5
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Q. Solve for x: 2x^2 + 8x = 0.
Show solution
Solution
Factor out 2x: 2x(x + 4) = 0. Thus, x = 0 or x = -4.
Correct Answer:
B
— -4
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Q. Solve for x: 2x^2 - 8 = 0.
A.
-2 and 2
B.
2 and -2
C.
4 and -4
D.
0 and 4
Show solution
Solution
First, add 8 to both sides: 2x^2 = 8. Then divide by 2: x^2 = 4. Taking the square root gives x = ±2.
Correct Answer:
A
— -2 and 2
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Q. Solve for x: 3(x + 2) = 21
A.
x = 5
B.
x = 7
C.
x = 3
D.
x = 4
Show solution
Solution
Divide by 3: x + 2 = 7. Subtract 2: x = 5.
Correct Answer:
B
— x = 7
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Q. Solve for x: 3x + 2 > 11.
A.
x < 3
B.
x > 3
C.
x < 4
D.
x > 4
Show solution
Solution
Subtract 2 from both sides: 3x > 9. Then divide by 3: x > 3.
Correct Answer:
B
— x > 3
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Q. Solve for x: 3x + 4 > 10.
A.
x < 2
B.
x > 2
C.
x < 3
D.
x > 3
Show solution
Solution
Subtract 4 from both sides: 3x > 6. Then divide by 3: x > 2.
Correct Answer:
B
— x > 2
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Q. Solve for x: 4(x - 1) = 2(x + 3).
Show solution
Solution
Step 1: Distribute: 4x - 4 = 2x + 6. Step 2: Subtract 2x from both sides: 2x - 4 = 6. Step 3: Add 4 to both sides: 2x = 10. Step 4: Divide by 2: x = 5.
Correct Answer:
C
— 1
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Q. Solve for x: 4x + 5 = 29
A.
x = 4
B.
x = 5
C.
x = 6
D.
x = 7
Show solution
Solution
Step 1: Subtract 5 from both sides: 4x = 24. Step 2: Divide both sides by 4: x = 6.
Correct Answer:
A
— x = 4
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Q. Solve for x: 4x - 12 = 0
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5
Show solution
Solution
Step 1: Add 12 to both sides: 4x = 12. Step 2: Divide both sides by 4: x = 3.
Correct Answer:
B
— x = 3
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Q. Solve for x: 4x - 5 = 3x + 2
A.
x = -7
B.
x = -2
C.
x = 2
D.
x = 7
Show solution
Solution
Step 1: Subtract 3x from both sides: x - 5 = 2. Step 2: Add 5 to both sides: x = 7.
Correct Answer:
C
— x = 2
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Q. Solve for x: 4x^2 + 8x + 4 = 0.
A.
x = -1
B.
x = -2
C.
x = 1
D.
x = 2
Show solution
Solution
Factoring gives 4(x^2 + 2x + 1) = 0, or 4(x + 1)(x + 1) = 0. Thus, x = -1.
Correct Answer:
B
— x = -2
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Q. Solve for x: 4x^2 + 8x = 0.
A.
x = 0, -2
B.
x = 2, -2
C.
x = 0, 2
D.
x = -4, 0
Show solution
Solution
Factor out 4x: 4x(x + 2) = 0. Thus, x = 0 or x + 2 = 0 gives x = -2.
Correct Answer:
A
— x = 0, -2
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Q. Solve for x: 5(x - 1) = 3x + 7.
A.
x = 6
B.
x = 5
C.
x = 4
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 to both sides: 2x = 12. Step 4: Divide by 2: x = 6.
Correct Answer:
A
— x = 6
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Q. Solve for x: 5x + 2 > 12.
A.
x < 2
B.
x > 2
C.
x < 3
D.
x > 3
Show solution
Solution
Step 1: Subtract 2 from both sides: 5x > 10. Step 2: Divide both sides by 5: x > 2.
Correct Answer:
B
— x > 2
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Q. Solve for x: 5x + 2 = 17.
Show solution
Solution
Subtract 2 from both sides: 5x = 15. Then divide by 5: x = 3.
Correct Answer:
B
— 3
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