Welcome to JNVMaths.com, your ultimate resource for preparing for the Jawahar Navodaya Vidyalaya (JNV) Class 9 Entrance Exam. In this blog post, we'll dive deep into Chapter 6: Square And Square Roots, providing you with valuable insights, tips, and practice materials to help you excel in this important subject.
Section 1: Understanding the Basics
1.1 What are Squares and Square Roots? In this section, we'll start with the basics by explaining what squares and square roots are. We'll provide clear definitions and examples to ensure you have a solid foundation before diving into more complex topics.
1.2 Properties of Squares Discover the fundamental properties of square numbers and how they can be used to solve various types of problems. We'll cover important concepts like perfect squares, and their significance in mathematics and real-world applications.
Section 2: Square and Square Root Formulas
2.1 Square Root Calculation Methods Learn multiple methods for calculating square roots, including manual calculation techniques and how to use calculators effectively. We'll also share time-saving shortcuts and tricks to boost your speed.
2.2 Squaring Numbers Explore techniques to square numbers efficiently. We'll break down the process into manageable steps and provide practice problems to reinforce your understanding.
Section 3: Problem Solving and Applications
3.1 Practical Applications Discover real-world scenarios where knowledge of squares and square roots is essential. From geometry to physics, we'll show you how these concepts are used in various fields.
3.2 Practice Problems Test your understanding with a selection of practice problems ranging from basic to advanced. Solutions and explanations will be provided to help you master each concept.
Section 4: Exam Tips and Strategies
4.1 Exam Pattern and Syllabus Get an in-depth look at the JNV Class 9 Entrance Exam's math section, including the syllabus and question pattern. Understanding what to expect is crucial for effective preparation.
4.2 Time Management Learn valuable time management techniques to tackle the math section efficiently during the entrance exam. We'll share tips on how to allocate your time wisely to maximize your score.
1. पायथागॉरियन त्रिक जिनकी सबसे छोटी संख्या 8 है:
a) 8, 16 17
b) 8, 17, 18
c) 8, 15, 17
d) 8, 15, 16
उत्तर: (c)
2. निम्नलिखित में से कौन सा एक पूर्ण वर्ग है?
ए) 1057
बी) 625
सी) 7928
डी) 64000
उत्तर: (बी)
3. निम्नलिखित में से किसके इकाई स्थान पर 6 होंगे?
ए) 19^2
बी) 11^2
सी) 24^2
डी) 13^2
उत्तर: (सी)
4. यदि 5278 का वर्ग किया जाए तो इकाई स्थान पर क्या होगा?
ए) 8
बी) 7
सी) 6
डी) 4
उत्तर: (डी)
5. 400 के वर्ग में शून्य की संख्या क्या होगी?
ए) 2
बी) 3
सी) 4
डी) 6
उत्तर: (सी)
6. 9^2 और 10^2 के बीच कितनी प्राकृतिक संख्याएँ हैं?
ए) 17
बी) 18
सी) 19
डी) 20
उत्तर: (बी)
7. प्रथम चार विषम प्राकृतिक संख्याओं का योग क्या है?
ए) 16
बी) 17
सी) 18
डी) 20
उत्तर: (ए)
8. 9^2 – 1 का मान बराबर है:
a) 81
b) 80
c) 79
d) उपरोक्त में से कोई नहीं
उत्तर: (बी)
9. 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 का योग है:
a) 121
b) 120
c) 100
d) 110
उत्तर: (सी)
10. 42 का वर्ग है:
a) 1764
b) 1664
c) 1564
d) 1504
उत्तर: (ए)
1. Pythagorean triples whose smallest number is 8:
a) 8, 16 17
b) 8, 17, 18
c) 8, 15, 17
d) 8, 15, 16
Answer: (c)
2. Which of the following is a perfect square?
A) 1057
B) 625
c) 7928
D) 64000
Answer: (B)
3. Which of the following will have 6 in its units place?
A) 19^2
B) 11^2
C) 24^2
D) 13^2
Answer: (c)
4. If 5278 is squared, what will happen at the units place?
A) 8
B) 7
c) 6
D) 4
Answer: (D)
5. What will be the number of zeros in the square of 400?
A) 2
B) 3
c) 4
D) 6
Answer: (c)
6. How many natural numbers are there between 9^2 and 10^2 ?
A) 17
B) 18
C) 19
D) 20
Answer: (B)
7. What is the sum of the first four odd natural numbers?
A) 16
B) 17
C) 18
D) 20
Answer: (A)
8. The value of 9^2 – 1 is equal to:
a) 81
b) 80
c) 79
d) none of the above
Answer: (B)
9. The sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 is:
a) 121
b) 120
c) 100
d) 110
Answer: (c)
10. The square of 42 is:
a) 1764
b) 1664
c) 1564
d) 1504
Answer: (A)
Conclusion: By the end of this blog post, you'll be well-equipped to conquer Chapter 6: Square And Square Roots in the JNV Class 9 Entrance Exam. Remember to practice regularly, stay organized, and stay tuned for more valuable math prep resources right here on JNVMaths.com. Good luck with your exam preparation journey!
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