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 area of a sector of a circle with a radius of 6 cm and a central angle of 120 degrees?
A.
12π cm²
B.
24π cm²
C.
18π cm²
D.
30π cm²
Show solution
Solution
Area of sector = (θ/360) * πr² = (120/360) * π(6)² = 12π cm².
Correct Answer:
B
— 24π cm²
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Q. What is the area of a sector with a central angle of 60 degrees in a circle of radius 6 cm?
A.
6π cm²
B.
12π cm²
C.
3π cm²
D.
9π cm²
Show solution
Solution
Area of sector = (θ/360) * πr² = (60/360) * π(6)² = (1/6) * 36π = 6π cm².
Correct Answer:
A
— 6π cm²
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Q. What is the area of a sector with a radius of 6 cm and a central angle of 120 degrees?
A.
12π cm²
B.
18π cm²
C.
8π cm²
D.
10π cm²
Show solution
Solution
Area of sector = (θ/360) * πr² = (120/360) * π(6)² = (1/3) * 36π = 12π cm².
Correct Answer:
A
— 12π cm²
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Q. What is the area of a sector with a radius of 6 cm and a central angle of 60 degrees?
A.
12π cm²
B.
6π cm²
C.
3π cm²
D.
9π cm²
Show solution
Solution
Area of sector = (θ/360) * πr² = (60/360) * π(6)² = 12π cm².
Correct Answer:
A
— 12π cm²
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Q. What is the area of a square with a side length of 4 cm?
A.
8 cm²
B.
12 cm²
C.
16 cm²
D.
20 cm²
Show solution
Solution
Area = side² = 4 cm × 4 cm = 16 cm².
Correct Answer:
C
— 16 cm²
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Q. What is the area of a square with a side length of 5 cm?
A.
20 cm²
B.
25 cm²
C.
30 cm²
D.
15 cm²
Show solution
Solution
Area = side² = 5² = 25 cm².
Correct Answer:
B
— 25 cm²
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Q. What is the area of a square with a side length of 6 cm?
A.
24 cm²
B.
30 cm²
C.
36 cm²
D.
42 cm²
Show solution
Solution
Area = side × side = 6 cm × 6 cm = 36 cm².
Correct Answer:
C
— 36 cm²
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Q. What is the area of a square with a side length of 7 cm?
A.
49 cm²
B.
56 cm²
C.
42 cm²
D.
36 cm²
Show solution
Solution
Area = side² = 7² = 49 cm².
Correct Answer:
A
— 49 cm²
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Q. What is the area of a square with a side length of 7 units?
Show solution
Solution
The area of a square is given by the formula: A = side². Here, A = 7² = 49.
Correct Answer:
C
— 49
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Q. What is the area of a square with a side length of 9 cm?
A.
81 cm²
B.
72 cm²
C.
90 cm²
D.
45 cm²
Show solution
Solution
Area = side² = 9 cm × 9 cm = 81 cm².
Correct Answer:
A
— 81 cm²
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Q. What is the area of a square with vertices at (1, 1), (1, 5), (5, 1), and (5, 5)?
Show solution
Solution
The area of a square is given by Area = side². The side length is 5 - 1 = 4, so Area = 4² = 16.
Correct Answer:
D
— 25
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Q. What is the area of a trapezoid with bases of 10 cm and 6 cm, and a height of 4 cm?
A.
32 cm²
B.
40 cm²
C.
24 cm²
D.
28 cm²
Show solution
Solution
Area = 1/2 * (base1 + base2) * height = 1/2 * (10 + 6) * 4 = 32 cm².
Correct Answer:
A
— 32 cm²
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Q. What is the area of a trapezoid with bases of 10 cm and 6 cm, and a height of 5 cm?
A.
40 cm²
B.
30 cm²
C.
20 cm²
D.
50 cm²
Show solution
Solution
Area = 1/2 × (base1 + base2) × height = 1/2 × (10 cm + 6 cm) × 5 cm = 40 cm².
Correct Answer:
A
— 40 cm²
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Q. What is the area of a trapezoid with bases of 6 m and 10 m, and a height of 4 m?
A.
32 m²
B.
24 m²
C.
40 m²
D.
28 m²
Show solution
Solution
Area = 1/2 * (base1 + base2) * height = 1/2 * (6 + 10) * 4 = 32 m².
Correct Answer:
B
— 24 m²
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Q. What is the area of a trapezoid with bases of 6 units and 10 units, and a height of 4 units?
A.
32 square units
B.
40 square units
C.
48 square units
D.
56 square units
Show solution
Solution
The area of a trapezoid is calculated using the formula (1/2) * (base1 + base2) * height. Thus, the area = (1/2) * (6 + 10) * 4 = 32 square units.
Correct Answer:
A
— 32 square units
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Q. What is the area of a trapezoid with bases of 8 cm and 5 cm, and a height of 4 cm?
A.
26 cm²
B.
30 cm²
C.
20 cm²
D.
24 cm²
Show solution
Solution
Area = 1/2 × (base1 + base2) × height = 1/2 × (8 cm + 5 cm) × 4 cm = 26 cm².
Correct Answer:
A
— 26 cm²
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Q. What is the area of a trapezoid with bases of lengths 10 and 6 units and a height of 4 units?
Show solution
Solution
The area A of a trapezoid is given by A = 0.5 * (base1 + base2) * height. Here, A = 0.5 * (10 + 6) * 4 = 0.5 * 16 * 4 = 32.
Correct Answer:
A
— 32
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Q. What is the area of a trapezoid with bases of lengths 5 and 7 units and a height of 4 units?
Show solution
Solution
The area A of a trapezoid is given by the formula: A = 0.5 * (base1 + base2) * height. Here, A = 0.5 * (5 + 7) * 4 = 0.5 * 12 * 4 = 24.
Correct Answer:
A
— 24
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Q. What is the area of a trapezoid with bases of lengths 5 and 7, and a height of 4?
Show solution
Solution
Area = 1/2 * (base1 + base2) * height = 1/2 * (5 + 7) * 4 = 24.
Correct Answer:
A
— 24
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Q. What is the area of a trapezoid with bases of lengths 6 and 10 units and a height of 4 units?
Show solution
Solution
The area of a trapezoid is given by the formula: Area = 0.5 * (base1 + base2) * height. Here, Area = 0.5 * (6 + 10) * 4 = 0.5 * 16 * 4 = 32.
Correct Answer:
A
— 32
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Q. What is the area of a trapezoid with bases of lengths 6 and 10 units and a height of 5 units?
Show solution
Solution
The area of a trapezoid is given by the formula: A = 0.5 * (base1 + base2) * height. Here, A = 0.5 * (6 + 10) * 5 = 0.5 * 16 * 5 = 40.
Correct Answer:
A
— 30
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Q. What is the area of a trapezoid with bases of lengths 6 and 10, and a height of 4?
Show solution
Solution
The area of a trapezoid is given by the formula: A = 0.5 * (base1 + base2) * height. Here, A = 0.5 * (6 + 10) * 4 = 0.5 * 16 * 4 = 32.
Correct Answer:
A
— 32
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Q. What is the area of a trapezoid with bases of lengths 8 and 5 units and a height of 4 units?
Show solution
Solution
The area of a trapezoid is given by A = 0.5 * (base1 + base2) * height. Here, A = 0.5 * (8 + 5) * 4 = 0.5 * 13 * 4 = 26.
Correct Answer:
A
— 26
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Q. What is the area of a triangle with a base of 10 and a height of 5?
Show solution
Solution
Area = 0.5 * base * height = 0.5 * 10 * 5 = 25.
Correct Answer:
A
— 25
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Q. What is the area of a triangle with a base of 10 cm and a height of 6 cm?
A.
30 cm²
B.
60 cm²
C.
20 cm²
D.
40 cm²
Show solution
Solution
Area = 1/2 × base × height = 1/2 × 10 cm × 6 cm = 30 cm².
Correct Answer:
A
— 30 cm²
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Q. What is the area of a triangle with a base of 4 units and a height of 3 units?
A.
6 square units
B.
12 square units
C.
8 square units
D.
10 square units
Show solution
Solution
The area A of a triangle is given by A = 1/2 * base * height. Here, A = 1/2 * 4 * 3 = 6 square units.
Correct Answer:
A
— 6 square units
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Q. What is the area of a triangle with a base of 6 units and a height of 4 units?
A.
12 square units
B.
24 square units
C.
18 square units
D.
30 square units
Show solution
Solution
The area A of a triangle is given by A = 1/2 * base * height = 1/2 * 6 * 4 = 12 square units.
Correct Answer:
A
— 12 square units
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Q. What is the area of a triangle with a base of 8 and a height of 5?
Show solution
Solution
Area = 0.5 * base * height = 0.5 * 8 * 5 = 20.
Correct Answer:
A
— 20
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Q. What is the area of a triangle with a base of 8 units and a height of 5 units?
Show solution
Solution
The area of a triangle is calculated using the formula A = 1/2 * base * height. A = 1/2 * 8 * 5 = 20.
Correct Answer:
A
— 20
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Q. What is the area of a triangle with vertices at (0, 0), (4, 0), and (4, 3)?
Show solution
Solution
Area = 0.5 * base * height = 0.5 * 4 * 3 = 6.
Correct Answer:
B
— 12
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