Mathematics (School)

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Mathematics (School)

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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!

Algebra (Secondary) Arithmetic (Primary) Geometry Statistics & Probability Trigonometry

Q. In a coordinate plane, what is the midpoint of the line segment connecting the points (1, 2) and (3, 4)?

A. (2, 3)
B. (1, 2)
C. (3, 4)
D. (4, 6)

Solution

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2) = ((1 + 3)/2, (2 + 4)/2) = (2, 3).

Correct Answer: A — (2, 3)

Q. In a coordinate plane, what is the slope of the line passing through the points (2, 3) and (4, 7)?

A. 2
B. 1
C. 0.5
D. 3

Solution

Slope = (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Correct Answer: A — 2

Q. In a coordinate plane, what is the slope of the line passing through the points (1, 2) and (3, 6)?

A. 2
B. 3
C. 1
D. 4

Solution

The slope m is calculated as m = (y2 - y1) / (x2 - x1) = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Correct Answer: A — 2

Q. In a coordinate system, if line 1 has the equation y = -3x + 4 and line 2 is parallel to it, what is the slope of line 2?

A. -3
B. 3
C. 1/3
D. 0

Solution

Parallel lines have the same slope. The slope of line 1 is -3, so the slope of line 2 is also -3.

Correct Answer: A — -3

Q. In a coordinate system, if line A has the equation y = -1/2x + 3 and line B is parallel to line A, what is the slope of line B?

A. -1/2
B. 1/2
C. 2
D. -2

Solution

Parallel lines have the same slope, so the slope of line B is also -1/2.

Correct Answer: A — -1/2

Q. In a coordinate system, if line A has the equation y = -1/2x + 4 and line B is parallel to line A, what is the slope of line B?

A. -1/2
B. 1/2
C. 2
D. 0

Solution

The slope of line B is the same as line A, which is -1/2.

Correct Answer: A — -1/2

Q. In a coordinate system, if line A has the equation y = -1/2x + 4, what is the slope of a line parallel to line A?

A. 1/2
B. -1/2
C. 2
D. -2

Solution

Parallel lines have the same slope, so the slope of the parallel line is -1/2.

Correct Answer: B — -1/2

Q. In a cyclic quadrilateral, if one angle is 80 degrees, what is the measure of the opposite angle?

A. 100 degrees
B. 80 degrees
C. 90 degrees
D. 70 degrees

Solution

In a cyclic quadrilateral, the opposite angles are supplementary. Therefore, if one angle is 80 degrees, the opposite angle is 180 - 80 = 100 degrees.

Correct Answer: A — 100 degrees

Q. In a cyclic quadrilateral, what is the relationship between the opposite angles?

A. They are equal
B. They are supplementary
C. They are complementary
D. They are congruent

Solution

In a cyclic quadrilateral, the opposite angles are supplementary, meaning they add up to 180 degrees.

Correct Answer: B — They are supplementary

Q. In a data set of 7, 8, 9, 10, 10, 10, 11, what is the mode?

A. 7
B. 8
C. 10
D. 11

Solution

The mode is 10, as it appears most frequently.

Correct Answer: C — 10

Q. In a data set, if the mean is 50 and the standard deviation is 5, what is the z-score of a value 60?

A. 1
B. 2
C. 3
D. 4

Solution

Z-score = (X - Mean) / Standard Deviation = (60 - 50) / 5 = 2.

Correct Answer: A — 1

Q. In a data set, the mode is 7. What does this indicate?

A. The average is 7
B. 7 appears most frequently
C. The median is 7
D. There are no repeated values

Solution

The mode is the value that appears most frequently in a data set.

Correct Answer: B — 7 appears most frequently

Q. In a data set, the mode is defined as what?

A. The average value
B. The middle value
C. The most frequently occurring value
D. The range of values

Solution

The mode is the value that appears most frequently in a data set.

Correct Answer: C — The most frequently occurring value

Q. In a data set, the mode is defined as which of the following?

A. The average value
B. The middle value
C. The most frequently occurring value
D. The range of values

Solution

The mode is the value that appears most frequently in a data set.

Correct Answer: C — The most frequently occurring value

Q. In a dataset of test scores: 70, 75, 80, 85, 90, what is the mean score?

A. 75
B. 80
C. 85
D. 90

Solution

Mean = (70 + 75 + 80 + 85 + 90) / 5 = 400 / 5 = 80.

Correct Answer: B — 80

Q. In a dataset of the ages of five siblings: 10, 12, 14, 16, and 18, what is the mean age?

A. 12
B. 14
C. 16
D. 10

Solution

Mean = (10 + 12 + 14 + 16 + 18) / 5 = 70 / 5 = 14.

Correct Answer: B — 14

Q. In a dataset of the following weights (in kg): 60, 70, 80, 90, 100, what is the median weight?

A. 70
B. 80
C. 90
D. 100

Solution

The median is the average of the two middle numbers (70 and 80), which is (70 + 80) / 2 = 75.

Correct Answer: B — 80

Q. In a dataset: 10, 20, 30, 40, 50, what is the median?

A. 20
B. 30
C. 40
D. 50

Solution

The median is the average of the two middle numbers (20 and 30), which is (20 + 30) / 2 = 25.

Correct Answer: B — 30

Q. In a dataset: 4, 4, 4, 5, 6, 7, what is the median?

A. 4
B. 5
C. 6
D. 7

Solution

The median is the average of the two middle numbers (4 and 5), which is (4 + 5) / 2 = 4.5.

Correct Answer: B — 5

Q. In a diagram where line AB is parallel to line CD and line EF is a transversal, if angle 1 is 70 degrees, what is the measure of angle 2, which is an alternate interior angle?

A. 70 degrees
B. 110 degrees
C. 90 degrees
D. 180 degrees

Solution

Since angle 1 and angle 2 are alternate interior angles formed by the transversal cutting through parallel lines, angle 2 is also 70 degrees.

Correct Answer: A — 70 degrees

Q. In a diagram where two parallel lines are intersected by a transversal, if one of the corresponding angles measures 75 degrees, what is the measure of the other corresponding angle?

A. 75 degrees
B. 105 degrees
C. 90 degrees
D. 180 degrees

Solution

Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, the other corresponding angle also measures 75 degrees.

Correct Answer: A — 75 degrees

Q. In a diagram with two parallel lines and a transversal, if angle 3 is 30 degrees, what is the measure of angle 4, which is an alternate interior angle?

A. 30 degrees
B. 150 degrees
C. 90 degrees
D. 60 degrees

Solution

Alternate interior angles are equal, so angle 4 = 30 degrees.

Correct Answer: A — 30 degrees

Q. In a diagram with two parallel lines and a transversal, if angle 3 is 40 degrees, what is the measure of angle 4, which is an alternate interior angle?

A. 40 degrees
B. 140 degrees
C. 180 degrees
D. 90 degrees

Solution

Alternate interior angles are equal, so angle 4 also measures 40 degrees.

Correct Answer: A — 40 degrees

Q. In a diagram with two parallel lines and a transversal, if one of the interior angles is 40 degrees, what is the measure of the corresponding angle?

A. 40 degrees
B. 140 degrees
C. 180 degrees
D. 90 degrees

Solution

Corresponding angles are equal when a transversal intersects two parallel lines. Therefore, the corresponding angle also measures 40 degrees.

Correct Answer: A — 40 degrees

Q. In a diagram, if angle 1 and angle 2 are corresponding angles formed by a transversal intersecting two parallel lines, what can be concluded?

A. Angle 1 is greater than angle 2.
B. Angle 1 is less than angle 2.
C. Angle 1 is equal to angle 2.
D. Angle 1 and angle 2 are complementary.

Solution

Corresponding angles are equal when two parallel lines are cut by a transversal.

Correct Answer: C — Angle 1 is equal to angle 2.

Q. In a figure with two parallel lines and a transversal, if one angle measures 30 degrees, what is the measure of the vertically opposite angle?

A. 30 degrees
B. 150 degrees
C. 90 degrees
D. 60 degrees

Solution

Vertically opposite angles are equal. Therefore, the vertically opposite angle also measures 30 degrees.

Correct Answer: A — 30 degrees

Q. In a figure with two parallel lines cut by a transversal, if one angle measures 30 degrees, what is the measure of the vertically opposite angle?

A. 30 degrees
B. 150 degrees
C. 90 degrees
D. 60 degrees

Solution

Vertically opposite angles are equal, so the vertically opposite angle also measures 30 degrees.

Correct Answer: A — 30 degrees

Q. In a normal distribution, what percentage of data falls within one standard deviation of the mean?

A. 50%
B. 68%
C. 95%
D. 99.7%

Solution

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean.

Correct Answer: B — 68%

Q. In a pair of parallel lines cut by a transversal, if one of the alternate interior angles is 75 degrees, what is the measure of the other alternate interior angle?

A. 75 degrees
B. 105 degrees
C. 90 degrees
D. 180 degrees

Solution

Alternate interior angles are equal, so the other angle is also 75 degrees.

Correct Answer: A — 75 degrees

Q. In a pair of parallel lines cut by a transversal, if one of the angles measures 110 degrees, what is the measure of the vertically opposite angle?

A. 70 degrees
B. 110 degrees
C. 90 degrees
D. 180 degrees

Solution

Vertically opposite angles are equal. Therefore, the vertically opposite angle also measures 110 degrees.

Correct Answer: B — 110 degrees

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