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 triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 6 cm and 9 cm respectively, what is the ratio of the areas of the triangles?
A.
2:3
B.
3:2
C.
4:9
D.
9:4
Solution
The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. (6/9)² = (2/3)² = 4/9.
Q. If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 cm and 8 cm respectively, what is the ratio of the areas of the triangles?
A.
1:2
B.
1:4
C.
2:1
D.
4:1
Solution
The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. (4/8)^2 = (1/2)^2 = 1/4.
Q. If triangle DEF is similar to triangle GHI, and the lengths of DE and GH are 4 cm and 8 cm respectively, what is the ratio of the areas of the two triangles?
A.
1:2
B.
1:4
C.
1:8
D.
1:16
Solution
The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. (4/8)^2 = (1/2)^2 = 1/4.
Q. If triangle DEF is similar to triangle XYZ and the sides of DEF are 3 cm, 4 cm, and 5 cm, what are the lengths of the corresponding sides of triangle XYZ if the ratio of similarity is 2:1?
A.
6 cm, 8 cm, 10 cm
B.
3 cm, 4 cm, 5 cm
C.
1.5 cm, 2 cm, 2.5 cm
D.
4 cm, 5 cm, 6 cm
Solution
If the ratio of similarity is 2:1, then the sides of triangle XYZ will be 2 times the sides of triangle DEF, giving 6 cm, 8 cm, and 10 cm.
Q. If triangle DEF is similar to triangle XYZ, and the sides of DEF are 4 cm, 6 cm, and 8 cm, what is the ratio of the sides of triangle XYZ if the shortest side is 2 cm?
A.
1:2
B.
2:3
C.
1:3
D.
2:4
Solution
The ratio of the sides of similar triangles is constant. If the shortest side of DEF is 4 cm and XYZ is 2 cm, the ratio is 2:3.
Q. If triangle GHI is similar to triangle JKL and the length of GH is 5 cm and JK is 10 cm, what is the ratio of their corresponding sides?
A.
1:2
B.
2:1
C.
1:1
D.
5:10
Solution
The ratio of corresponding sides of similar triangles is equal to the ratio of any two corresponding sides. Therefore, the ratio is 5:10, which simplifies to 1:2.
Q. If triangle GHI is similar to triangle JKL and the length of side GH is 5 cm while side JK is 10 cm, what is the ratio of the areas of the two triangles?
A.
1:2
B.
1:4
C.
2:1
D.
4:1
Solution
The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. (10/5)^2 = 2^2 = 4, so the ratio of the areas is 1:4.
Q. If triangle GHI is similar to triangle JKL and the sides of triangle GHI are 3 cm, 4 cm, and 5 cm, what is the ratio of the sides of triangle JKL if the longest side is 10 cm?
A.
2:1
B.
3:2
C.
5:2
D.
4:1
Solution
The ratio of the longest sides is 10 cm to 5 cm, which simplifies to 2:1. Therefore, the sides of triangle JKL are in the ratio 2:1.
