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 triangle has vertices at (1, 2), (4, 6), and (7, 2), what is its perimeter?
A.
18
B.
20
C.
22
D.
16
Solution
Calculate the lengths of the sides using the distance formula: AB = √((4-1)² + (6-2)²) = 5, BC = √((7-4)² + (2-6)²) = 5, CA = √((1-7)² + (2-2)²) = 6. Perimeter = 5 + 5 + 6 = 16.
Q. If angle 1 and angle 2 are alternate interior angles formed by a transversal intersecting two parallel lines, what can be said about their measures?
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.
They cannot be compared.
Solution
By the Alternate Interior Angles Theorem, alternate interior angles are equal when two parallel lines are cut by a transversal.
Q. If angle 1 and angle 2 are corresponding angles formed by a transversal intersecting two parallel lines, and angle 1 measures 30 degrees, what is the measure of angle 2?
A.
30 degrees
B.
150 degrees
C.
90 degrees
D.
60 degrees
Solution
Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, angle 2 also measures 30 degrees.
Q. If angle 1 and angle 2 are same-side interior angles formed by two parallel lines cut by a transversal, and angle 1 measures 70 degrees, what is the measure of angle 2?
A.
70 degrees
B.
110 degrees
C.
180 degrees
D.
90 degrees
Solution
Same-side interior angles are supplementary, so angle 2 = 180 - 70 = 110 degrees.
Q. If angle 3 is 50 degrees and is an exterior angle formed by a transversal intersecting two parallel lines, what is the measure of the corresponding interior angle?
A.
50 degrees
B.
130 degrees
C.
180 degrees
D.
90 degrees
Solution
The corresponding interior angle is supplementary to the exterior angle, so it measures 130 degrees.
Q. If angle 4 is 110 degrees and is an exterior angle formed by a transversal intersecting two parallel lines, what is the measure of the corresponding interior angle?
A.
70 degrees
B.
110 degrees
C.
90 degrees
D.
180 degrees
Solution
The corresponding interior angle is supplementary to the exterior angle, so 180 - 110 = 70 degrees.
Q. If angle 5 is 60 degrees and it is an exterior angle formed by a transversal with two parallel lines, what is the measure of the corresponding interior angle?
A.
60 degrees
B.
120 degrees
C.
180 degrees
D.
90 degrees
Solution
The corresponding interior angle is supplementary to the exterior angle, so it measures 180 - 60 = 120 degrees.
Q. If angle A and angle B are alternate exterior angles formed by a transversal cutting two parallel lines, and angle A measures 50 degrees, what is the measure of angle B?
A.
50 degrees
B.
130 degrees
C.
90 degrees
D.
180 degrees
Solution
Alternate exterior angles are equal, so angle B also measures 50 degrees.
Q. If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, what can be concluded about their measures?
A.
They are equal.
B.
They are complementary.
C.
They are supplementary.
D.
They are not related.
Solution
By the Alternate Exterior Angles Theorem, alternate exterior angles are equal when formed by a transversal intersecting two parallel lines.
Q. If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, and angle A measures 50 degrees, what is the measure of angle B?
A.
50 degrees
B.
130 degrees
C.
90 degrees
D.
180 degrees
Solution
By the Alternate Exterior Angles Theorem, alternate exterior angles are equal. Thus, angle B also measures 50 degrees.
Q. If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, what can be said about their measures?
A.
They are equal.
B.
They are complementary.
C.
They are supplementary.
D.
They are not related.
Solution
Alternate exterior angles are equal when two parallel lines are cut by a transversal.
Q. If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, and angle A measures 45 degrees, what is the measure of angle B?
A.
45 degrees
B.
135 degrees
C.
90 degrees
D.
180 degrees
Solution
Alternate exterior angles are equal, so angle B also measures 45 degrees.
Q. If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, and angle A measures 120 degrees, what is the measure of angle B?
A.
60 degrees
B.
120 degrees
C.
180 degrees
D.
90 degrees
Solution
Alternate exterior angles are equal when a transversal intersects parallel lines. Therefore, angle B also measures 120 degrees.
Q. If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, and angle A measures 30 degrees, what is the measure of angle B?
A.
30 degrees
B.
150 degrees
C.
60 degrees
D.
90 degrees
Solution
Alternate exterior angles are equal, so angle B also measures 30 degrees.
Q. If angle A and angle B are alternate exterior angles formed by two parallel lines cut by a transversal, and angle A measures 45 degrees, what is the measure of angle B?
A.
45 degrees
B.
135 degrees
C.
90 degrees
D.
180 degrees
Solution
Alternate exterior angles are equal, so angle B also measures 45 degrees.
