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 a quadrilateral is a rectangle, what can be said about its diagonals?
A.
They are equal and bisect each other
B.
They are unequal
C.
They are perpendicular
D.
They are parallel
Show solution
Solution
In a rectangle, the diagonals are equal in length and bisect each other.
Correct Answer:
A
— They are equal and bisect each other
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Q. If a quadrilateral is a rectangle, which of the following statements is true?
A.
All sides are equal
B.
Opposite sides are equal
C.
All angles are acute
D.
Diagonals are perpendicular
Show solution
Solution
In a rectangle, opposite sides are equal in length.
Correct Answer:
B
— Opposite sides are equal
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Q. If a recipe calls for 2 cups of flour and you want to make half the recipe, how many cups do you need?
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Solution
2 cups ÷ 2 = 1 cup
Correct Answer:
A
— 1
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Q. If a recipe calls for 2 cups of flour and you want to make half the recipe, how much flour do you need?
A.
1 cup
B.
2 cups
C.
3 cups
D.
4 cups
Show solution
Solution
2 cups ÷ 2 = 1 cup
Correct Answer:
A
— 1 cup
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Q. If a recipe needs 2 cups of flour and you want to make half the recipe, how many cups do you need?
Show solution
Solution
2 cups ÷ 2 = 1 cup
Correct Answer:
A
— 1
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Q. If a recipe needs 2 cups of flour for every 3 cups of sugar, how many cups of flour are needed for 6 cups of sugar?
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Solution
For 6 cups of sugar, you need (2/3) * 6 = 4 cups of flour.
Correct Answer:
C
— 4
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Q. If a rectangle has a length of (x + 2) and a width of (x - 3), what is the area?
A.
x^2 - x - 6
B.
x^2 + x - 6
C.
x^2 - 6
D.
x^2 + 6
Show solution
Solution
Area = Length × Width = (x + 2)(x - 3) = x^2 - 3x + 2x - 6 = x^2 - x - 6.
Correct Answer:
A
— x^2 - x - 6
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Q. If a rectangle has a length of 10 cm and a width of 2 cm, what is its area?
A.
20 cm²
B.
12 cm²
C.
15 cm²
D.
25 cm²
Show solution
Solution
Area = length × width = 10 cm × 2 cm = 20 cm².
Correct Answer:
A
— 20 cm²
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Q. If a rectangle has a length of 10 cm and a width of 4 cm, what is its area?
A.
40 cm²
B.
44 cm²
C.
50 cm²
D.
60 cm²
Show solution
Solution
Area of a rectangle is calculated as length × width, so 10 cm × 4 cm = 40 cm².
Correct Answer:
A
— 40 cm²
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Q. If a rectangle has a length of 3x and a width of 2x, what is its area?
A.
5x^2
B.
6x^2
C.
7x^2
D.
8x^2
Show solution
Solution
Area = Length × Width = 3x × 2x = 6x^2.
Correct Answer:
B
— 6x^2
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Q. If a rectangle has a length of 5 cm and a width of 3 cm, what is its perimeter?
A.
8 cm
B.
10 cm
C.
16 cm
D.
20 cm
Show solution
Solution
Perimeter = 2(length + width) = 2(5 + 3) = 16 cm
Correct Answer:
C
— 16 cm
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Q. If a rectangle has a length of 7 cm and a width of 5 cm, what is its area?
A.
30 cm²
B.
32 cm²
C.
35 cm²
D.
40 cm²
Show solution
Solution
Area = length × width = 7 cm × 5 cm = 35 cm².
Correct Answer:
C
— 35 cm²
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Q. If a rectangle has a length of 7 cm and an area of 28 cm², what is its width?
A.
3 cm
B.
4 cm
C.
5 cm
D.
6 cm
Show solution
Solution
Width = Area ÷ length = 28 cm² ÷ 7 cm = 4 cm.
Correct Answer:
B
— 4 cm
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Q. If a rectangle has a perimeter of 24 cm and a length of 10 cm, what is its width?
A.
2 cm
B.
4 cm
C.
6 cm
D.
8 cm
Show solution
Solution
Perimeter = 2(length + width) => 24 cm = 2(10 cm + width) => width = 4 cm.
Correct Answer:
B
— 4 cm
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Q. If a rectangle has a perimeter of 30 cm and a length of 10 cm, what is its width?
A.
5 cm
B.
7.5 cm
C.
10 cm
D.
12.5 cm
Show solution
Solution
Perimeter = 2(length + width), so 30 cm = 2(10 cm + width). Width = (30 cm/2) - 10 cm = 5 cm.
Correct Answer:
B
— 7.5 cm
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Q. If a rectangle has an area of 24 cm² and a width of 4 cm, what is its length?
A.
5 cm
B.
6 cm
C.
7 cm
D.
8 cm
Show solution
Solution
Length = Area ÷ width = 24 cm² ÷ 4 cm = 6 cm.
Correct Answer:
B
— 6 cm
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Q. If a rectangle has vertices at (1, 1), (1, 4), (5, 1), and (5, 4), what is its area?
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Solution
The area of a rectangle is given by the formula: Area = length * width. The length is 5 - 1 = 4 and the width is 4 - 1 = 3. Thus, Area = 4 * 3 = 12.
Correct Answer:
B
— 16
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Q. If a rectangle's length is doubled and its width is halved, what happens to its area?
A.
It remains the same
B.
It doubles
C.
It halves
D.
It quadruples
Show solution
Solution
New area = (2 * length) * (width/2) = length * width = original area, so it doubles.
Correct Answer:
B
— It doubles
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Q. If a regular hexagon has a side length of 3 cm, what is the perimeter of the hexagon?
A.
9 cm
B.
12 cm
C.
15 cm
D.
18 cm
Show solution
Solution
The perimeter of a regular hexagon is calculated as 6 times the side length. Therefore, perimeter = 6 × 3 cm = 18 cm.
Correct Answer:
D
— 18 cm
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Q. If a regular hexagon has a side length of 6 cm, what is its perimeter?
A.
24 cm
B.
30 cm
C.
36 cm
D.
42 cm
Show solution
Solution
The perimeter of a regular hexagon is calculated as P = 6 * side length. Here, P = 6 * 6 cm = 36 cm.
Correct Answer:
C
— 36 cm
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Q. If a regular hexagon has a side length of 6 cm, what is the perimeter of the hexagon?
A.
24 cm
B.
30 cm
C.
36 cm
D.
42 cm
Show solution
Solution
The perimeter of a regular hexagon is calculated as 6 times the side length. Therefore, perimeter = 6 × 6 cm = 36 cm.
Correct Answer:
C
— 36 cm
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Q. If a rhombus has diagonals of lengths 10 and 24, what is its area?
A.
120
B.
140
C.
160
D.
180
Show solution
Solution
Area = (d1 * d2) / 2 = (10 * 24) / 2 = 120.
Correct Answer:
A
— 120
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Q. If a shirt costs $20 and is on sale for 10% off, how much is the discount?
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Solution
10% of $20 = $2
Correct Answer:
D
— $4
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Q. If a shirt costs $40 and is on sale for 25% off, how much is the discount?
A.
$5
B.
$10
C.
$15
D.
$20
Show solution
Solution
25% of $40 = $10
Correct Answer:
B
— $10
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Q. If a square has a perimeter of 32 cm, what is the area of the square?
A.
64 cm²
B.
128 cm²
C.
16 cm²
D.
32 cm²
Show solution
Solution
Side length = perimeter/4 = 32/4 = 8 cm. Area = side² = 8² = 64 cm².
Correct Answer:
A
— 64 cm²
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Q. If a square has a perimeter of 40 cm, what is the area of the square?
A.
100 cm²
B.
160 cm²
C.
200 cm²
D.
250 cm²
Show solution
Solution
Side length = perimeter/4 = 40/4 = 10 cm. Area = side² = 10² = 100 cm².
Correct Answer:
A
— 100 cm²
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Q. If a square has a perimeter of 40 cm, what is the length of one side?
A.
5 cm
B.
10 cm
C.
15 cm
D.
20 cm
Show solution
Solution
The perimeter of a square is calculated as 4 times the side length. Therefore, if the perimeter is 40 cm, then side length = 40 cm / 4 = 10 cm.
Correct Answer:
B
— 10 cm
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Q. If a square has a side length of 4 cm, what is its area?
A.
16 cm²
B.
12 cm²
C.
8 cm²
D.
20 cm²
Show solution
Solution
The area of a square is given by the formula: Area = side². Here, side = 4 cm. Area = 4² = 16 cm².
Correct Answer:
A
— 16 cm²
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Q. If a square has a side length of 4 cm, what is its perimeter?
A.
12 cm
B.
16 cm
C.
8 cm
D.
20 cm
Show solution
Solution
Perimeter = 4 × side = 4 × 4 cm = 16 cm.
Correct Answer:
B
— 16 cm
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Q. If a square has a side length of 5 cm, what is its area?
A.
20 cm²
B.
25 cm²
C.
30 cm²
D.
15 cm²
Show solution
Solution
The area of a square is given by the formula: Area = side². Here, Area = 5² = 25 cm².
Correct Answer:
B
— 25 cm²
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