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. Two circles intersect at points A and B. If the radius of the first circle is 5 cm and the second is 3 cm, what is the maximum distance between the centers of the circles?
Q. Two circles intersect at points A and B. What is the relationship between the angles ∠AOB and ∠APB, where O is the center of one circle and P is the center of the other?
A.
∠AOB = ∠APB
B.
∠AOB = 2∠APB
C.
∠AOB = ½∠APB
D.
∠AOB + ∠APB = 180 degrees
Solution
The angle ∠AOB is twice the angle ∠APB because of the inscribed angle theorem, which states that the angle at the center is twice the angle at the circumference.
Q. Two parallel lines are intersected by a transversal. If one of the corresponding angles is 65 degrees, what is the measure of the other corresponding angle?
A.
65 degrees
B.
115 degrees
C.
180 degrees
D.
90 degrees
Solution
Corresponding angles are equal when two parallel lines are cut by a transversal.
Q. Two parallel lines are intersected by a transversal. If one of the corresponding angles is 75 degrees, what is the measure of the other corresponding angle?
A.
75 degrees
B.
105 degrees
C.
90 degrees
D.
60 degrees
Solution
Corresponding angles are equal, so the other corresponding angle is also 75 degrees.
Q. Two triangles are similar if their corresponding angles are equal. If triangle DEF is similar to triangle XYZ, and angle D = 50 degrees, what is the measure of angle X?
A.
50 degrees
B.
60 degrees
C.
70 degrees
D.
80 degrees
Solution
Since the triangles are similar, corresponding angles are equal. Therefore, angle X = angle D = 50 degrees.
Q. Two triangles are similar if their corresponding angles are equal. If triangle DEF is similar to triangle XYZ, and angle D = 30 degrees, what is the measure of angle X?
A.
30 degrees
B.
60 degrees
C.
90 degrees
D.
120 degrees
Solution
Since the triangles are similar, corresponding angles are equal. Therefore, angle X = angle D = 30 degrees.
Q. Two triangles are similar with a ratio of their corresponding sides as 3:5. If the area of the smaller triangle is 27 cm², what is the area of the larger triangle?
A.
45 cm²
B.
75 cm²
C.
60 cm²
D.
50 cm²
Solution
Area ratio = (side ratio)² = (3/5)² = 9/25. Let area of larger triangle be A. 27/A = 9/25, A = 27 * (25/9) = 75 cm².
Q. Two triangles are similar. If the lengths of the sides of the first triangle are 3, 4, and 5 units, what are the lengths of the corresponding sides of the second triangle if the shortest side is 6 units?
A.
6, 8, 10
B.
9, 12, 15
C.
12, 16, 20
D.
15, 20, 25
Solution
The ratio of the sides is 6/3 = 2. Therefore, the corresponding sides are 6*2, 4*2, and 5*2, which are 6, 8, and 10 units.
Q. Two triangles are similar. If the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what is the length of the longest side of the second triangle if its shortest side is 6 cm?
A.
8 cm
B.
10 cm
C.
12 cm
D.
9 cm
Solution
The ratio of the sides is 6/3 = 2. Therefore, the longest side is 5 * 2 = 10 cm.
Q. Two triangles are similar. If the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what is the length of the corresponding side in the second triangle if its longest side is 10 cm?
A.
6 cm
B.
8 cm
C.
10 cm
D.
12 cm
Solution
The ratio of the sides is 10/5 = 2. Therefore, the corresponding side is 4 * 2 = 8 cm.
Q. Two triangles are similar. If the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what are the corresponding sides of the second triangle if the shortest side is 6 cm?
A.
8 cm, 10 cm, 12 cm
B.
9 cm, 12 cm, 15 cm
C.
6 cm, 8 cm, 10 cm
D.
12 cm, 16 cm, 20 cm
Solution
The ratio of similarity is 6/3 = 2. Therefore, the sides are 3*2 = 6 cm, 4*2 = 8 cm, 5*2 = 10 cm.
Q. Two triangles are similar. If the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what is the area of the second triangle if its longest side is 10 cm?
A.
40 cm²
B.
20 cm²
C.
30 cm²
D.
50 cm²
Solution
The ratio of the sides is 10/5 = 2. Area ratio = (2)² = 4. Area of first triangle = 6 cm². Area of second triangle = 6 * 4 = 24 cm².
Q. What are the roots of the polynomial x^2 + 2x - 8?
A.
-4 and 2
B.
4 and -2
C.
2 and -4
D.
0 and -8
Solution
To find the roots, we can factor the polynomial: x^2 + 2x - 8 = (x + 4)(x - 2). Setting each factor to zero gives us x + 4 = 0 or x - 2 = 0, so the roots are x = -4 and x = 2.
Q. What are the roots of the polynomial x^2 - 5x + 6?
A.
1 and 6
B.
2 and 3
C.
3 and 2
D.
5 and 0
Solution
To find the roots, we can factor the polynomial: x^2 - 5x + 6 = (x - 2)(x - 3). Setting each factor to zero gives us x - 2 = 0 or x - 3 = 0, so the roots are x = 2 and x = 3.
