NCERT Solutions for Class 6 Maths Exercise 5.3 Chapter 5 Prime Time - FREE PDF Download
NCERT Solutions for Class 6 Maths Exercise 5.3 Chapter 5 Prime Time, provides a comprehensive approach to understanding prime numbers, composite numbers, and factorisation. Exercise 5.3 helps students identify prime numbers and apply divisibility rules, laying a strong foundation in number theory. These solutions align with the CBSE Class 6 Maths syllabus, ensuring that students cover all important topics in the chapter. The step-by-step approach simplifies learning and makes it easier to tackle problems in exams. Additionally, these solutions are available for FREE PDF download, giving students easy access to quality study material anytime. Download the NCERT Solutions for Class 6 Maths now to strengthen your understanding of Prime numbers and prepare effectively for exams.
- 3.1Practise Questions on Exercise 5.3
Glance on NCERT Solutions Maths Chapter 5 Exercise 5.3 Class 6 | Vedantu
Focus on Prime Time: Learn to identify lines of Prime Time in various shapes and figures.
Step-by-Step Explanations: Clear and detailed solutions to each problem for easy understanding.
Aligned with CBSE Syllabus: Covers all important topics in line with the Class 6 Maths syllabus.
Exam-Oriented: Solutions designed to help students prepare effectively for exams.
FREE PDF Download: Easily accessible solutions in PDF format for convenient study and revision.
Build Strong Foundations: Strengthens students' understanding of Prime Time, useful for future mathematical concepts.
Practise Questions on Exercise 5.3
Co-prime Numbers and Safekeeping Treasures:
1. Identify the Safe Pair: Jumpy is trying to reach two numbers using the same jump size. Which of the following pairs are safe, meaning Jumpy cannot reach both with the same jump size?
a. 15 and 39
b. 4 and 15
c. 18 and 29
d. 20 and 55
Ans:
The correct safe pair is: b. 4 and 15
Explanation: 4 and 15 are co-prime, meaning they have no common factor other than 1, so Jumpy cannot reach both using the same jump size.
2. Check Coprime Pairs: Which of the following pairs of numbers are co-prime?
a. 18 and 35
b. 15 and 37
c. 30 and 415
Ans: The correct coprime pairs are:
b. 15 and 37
Explanation: 15 and 37 have no common factors other than 1, making them co-prime. 18 and 35, as well as 30 and 415, share common factors with each other.
3. Multiplication and Common Multiple Relationship:
Common Multiple: Anshul finds that for some coprime pairs, the first common multiple was the product of the two numbers. Check the common multiples for these pairs and observe if they are co-prime or not:
Pair 1: 4 and 9
Pair 2: 15 and 37
Pair 3: 17 and 69
Ans:
Common Multiple:
Pair 1: 4 and 9 are co-prime. Their first common multiple is 36, which is the product of the two numbers (4 × 9 = 36).
Pair 2: 15 and 37 are co-prime. Their first common multiple is 555, which is the product of the two numbers (15 × 37 = 555).
Pair 3: 17 and 69 are not coprime since 17 is a common factor between the two numbers.
4. True or False:
If two numbers have no common factors other than 1, they are co-prime.
If two numbers have a common factor greater than 1, they are not coprime.
Ans:
True: If two numbers have no common factors other than 1, they are co-prime.
True: If two numbers have a common factor greater than 1, they are not coprime.
5. Thread Art Observation: The first diagram has 12 pegs, and the thread is tied to every fourth peg. If the thread gap is 4, how would you arrange a thread gap for:
a. 10 pegs, thread gap of 7
b. 14 pegs, thread gap of 6
Ans:
For 10 pegs and a thread gap of 7, tie the thread at peg 1, then peg 8, then peg 5, and then peg 2, continuing the same pattern.
For 14 pegs and a thread gap of 6, tie the thread at peg 1, then peg 7, then peg 13, then peg 5, continuing the same pattern.
Benefits of NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.3 Prime Time
Clear Understanding of Prime and Composite Numbers: The solutions explain the concepts of prime and composite numbers in a simple and easy-to-understand manner.
Step-by-Step Explanations: Each problem in Exercise 5.3 is solved step-by-step, helping students learn how to approach and solve problems systematically.
Improves Number Theory Skills: The exercise strengthens students' number theory knowledge by teaching them about divisibility rules and factorisation.
Aligned with CBSE Syllabus: The solutions are fully aligned with the CBSE Class 6 Maths syllabus, ensuring that students cover all essential topics.
Boosts Exam Preparation: These solutions provide ample practice, making it easier for students to revise and prepare confidently for exams.
Free PDF Access: Students can download the NCERT Solutions in FREE PDF format, allowing for easy access and convenient study.
Class 6 Maths Chapter 5: Exercises Breakdown
Important Study Material Links for Class 6 Maths Chapter 5 - Prime Time
Conclusion
The NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.3, Prime Time, offer a clear and structured way for students to master the concepts of prime and composite numbers. With step-by-step explanations, these solutions simplify the process of learning divisibility rules and factorisation. Aligned with the CBSE syllabus, they serve as an excellent tool for exam preparation and regular practice. Available for FREE PDF download, these solutions provide a convenient and effective way for students to strengthen their number theory skills and boost their confidence in solving mathematical problems.
Chapter-wise NCERT Solutions Class 6 Maths
The chapter-wise NCERT Solutions for Class 6 Maths are given below. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.
Related Important Links for Class 6 Maths
Along with this, students can also download additional study materials provided by Vedantu for Maths Class 6.
FAQs on NCERT Solutions for Class 6 Maths Chapter 5 - Prime Time Exercise 5.3
1. What are co-prime numbers according to Class 6 Maths Chapter 5?
Co-prime numbers are pairs of numbers that have no common factors other than 1. This means that the greatest common divisor (GCD) of these numbers is 1.
2. How are co-prime numbers different from prime numbers?
Prime numbers are numbers greater than 1 that have only two divisors: 1 and the number itself. Co-prime numbers, on the other hand, are pairs of numbers that share no common factors other than 1, regardless of whether they are prime or not.
3. Can two even numbers be coprime?
No, two even numbers cannot be coprime because they will always have 2 as a common factor, which violates the condition of co-prime numbers having only 1 as a common divisor.
4. How does Exercise 5.3 in NCERT Class 6 Maths help in understanding co-prime numbers?
Exercise 5.3 in NCERT Class 6 Maths focuses on identifying co-prime numbers through various examples and activities. It helps students learn to check pairs of numbers to see if their greatest common divisor is 1, reinforcing the concept of co-prime numbers.
5. Why are co-prime numbers important in Class 6 Maths?
Co-prime numbers play an important role in various mathematical concepts such as fractions, number theory, and problem-solving. Understanding co-prime numbers in Class 6 Maths helps students develop a foundation for more advanced topics related to factors and multiples.
6. Are all prime numbers coprime with each other?
Yes, any two prime numbers are always coprime because their only common factor will be 1. For example, 3 and 7 are both prime, and they are also co-prime because they have no common divisors other than 1.
7. What kind of problems are covered in NCERT Class 6 Maths Chapter 5 Exercise 5.3?
Exercise 5.3 in NCERT Class 6 Maths Chapter 5 covers problems related to identifying co-prime numbers and distinguishing between pairs of numbers that are co-prime or not. It also includes real-life examples to understand the concept better.
8. How can NCERT Solutions for Class 6 Maths Chapter 5 help in solving Exercise 5.3?
NCERT Solutions for Class 6 Maths Chapter 5 provide step-by-step explanations and solved examples, making it easier for students to understand and solve problems in Exercise 5.3 related to co-prime numbers. These solutions help clarify concepts and improve problem-solving skills.
