NCERT Solutions For Class 6 Maths Chapter 3 Number Play Exercise 3.3 - 2025-26
In Chapter 3 Number Play, Class 6 Maths, students explore factors and multiples in a fun way. Exercise 3.3 dives deeper into finding common factors and common multiples, making these concepts easier to grasp. The NCERT Solutions for Exercise 3.3 provide students with step-by-step explanations to understand these concepts thoroughly. Vedantu's solutions make it simple to learn and apply the rules, helping students succeed in their exams and improve their Maths skills.
Table of Content
Our Class 6 Maths NCERT Solutions PDF breaks the lesson into easy-to-understand explanations, making learning fun and interactive. Students will develop essential language skills with engaging activities and exercises. Check out the revised CBSE Class 6 Maths Syllabus and start practising the Maths Class 6 Chapter 3.
Glance on Class 6 Number Play Ex 3.3 Number Play
Ex 3.3 of Chapter 3 Introduction to factors and multiples.
Understanding common factors and common multiples.
Exercises to identify the greatest common factor (GCF).
Learning the least common multiple (LCM) through examples.
Application of these concepts in real-world problems.
3.3 Patterns of Numbers on the Number Line Figure it Out (Page No. 59)
Question 1. Identify the numbers marked on the number lines below, and label the remaining positions.
Put a circle around the smallest number and a box around the largest number in each of the sequences above.
Answer:
3.3 Patterns of Numbers on the Number Line Figure it Out (Page No. 59)
Question 1. Identify the numbers marked on the number lines below, and label the remaining positions.
Put a circle around the smallest number and a box around the largest number in each of the sequences above.
Answer:
Benefits of NCERT Solutions for Class 6 Maths Ex 3.3
Step-by-step explanations: Each solution is explained clearly, making it easy for students to understand the concepts.
Improves problem-solving skills: The solutions guide students in solving GCF and LCM problems efficiently.
Boosts exam preparation: By practising these solutions, students gain confidence and are better prepared for exams.
Simplifies complex concepts: Difficult topics like common factors and multiples are broken down into simple steps.
Accessible anytime: Vedantu’s solutions are free, providing 24/7 access to learning resources.
Class 6 Maths Chapter 3: Exercises Breakdown
Important Study Material Links for Maths Chapter 3 Class 6
Conclusion
Chapter 3 Number Play in Class 6 Maths, introduces students to important concepts like factors and multiples, including GCF and LCM. The NCERT Solutions for Exercise 3.3 simplify these ideas with clear explanations, helping students learn efficiently and solve problems confidently. By practising these solutions, students can sharpen their Maths skills and perform better in their exams.
Chapter-wise NCERT Solutions Class 6 Maths
After familiarising yourself with the Class 6 Maths Chapters Question Answers, you can access comprehensive NCERT Solutions from all Class 6 Maths textbook chapters.
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 3 Number Play Exercise 3.3 - 2025-26
1. What is the correct method for solving questions on divisibility tests in NCERT Class 6 Maths Chapter 3?
To solve questions on divisibility tests as per the NCERT solutions, you must check specific conditions for each number without performing long division. For example:
- A number is divisible by 3 if the sum of its digits is divisible by 3.
- A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
- A number is divisible by 11 if the difference between the sum of the digits at odd places and the sum of the digits at even places is either 0 or divisible by 11.
2. How do you find the Highest Common Factor (HCF) of two numbers using the prime factorisation method from Chapter 3?
The NCERT-prescribed method to find the HCF using prime factorisation involves two main steps:
- First, find the prime factors of each number separately.
- Second, identify the common prime factors and multiply the smallest power of each common factor.
3. What is the step-by-step process for calculating the Least Common Multiple (LCM) in the NCERT solutions for this chapter?
To calculate the LCM correctly, you should follow the prime factorisation method outlined in the NCERT solutions. The steps are:
- List the prime factors for each of the given numbers.
- Identify all unique prime factors from all the numbers and find the greatest power of each prime factor.
- Multiply these highest powers together to get the LCM.
4. Do these NCERT Solutions for Class 6 Maths Chapter 3 cover all the exercises?
Yes, the NCERT Solutions for Class 6 Maths Chapter 3 provide detailed, step-by-step answers for every question in all the exercises of the chapter, from Exercise 3.1 to 3.7. The solutions are prepared according to the CBSE 2025-26 syllabus, ensuring you can find the correct method for any problem in the textbook.
5. How can I determine whether to use HCF or LCM when solving word problems from Chapter 3?
This is a common point of confusion. To decide, look for these keywords in the problem:
- Use HCF if the question asks for the 'greatest', 'largest', or 'maximum' number to divide or arrange things into groups. It's about finding the largest common measure.
- Use LCM if the question asks for the 'smallest', 'least', or 'minimum' time or number when an event repeats. It's about finding the first common multiple.
6. Why is it important to show every step when solving HCF and LCM problems as per the NCERT solutions?
Showing every step is crucial because it demonstrates your understanding of the underlying method, not just the final answer. In exams, marks are often allocated for correctly performing prime factorisation and identifying common factors or highest powers. A step-by-step solution also helps in easily identifying and correcting any calculation errors you might make.
7. What are some common mistakes to avoid when working on problems in 'Playing with Numbers'?
When solving problems from this chapter, students often make these mistakes:
- Confusing factors with multiples. Remember, factors divide a number, while multiples are the result of multiplying a number.
- Not breaking a number down to its prime factors completely. Forgetting that 4, 6, 9, etc., are composite numbers is a frequent error.
- Incorrectly applying divisibility rules, especially for 7, 8, and 11.
- Mixing up the methods for HCF and LCM during prime factorisation.
8. How can the NCERT Solutions for Chapter 3 help in preparing for school exams?
These solutions are highly effective for exam preparation because they provide the exact, CBSE-recommended methodology for solving problems. By practising with these solutions, you learn the correct format for writing answers, how to break down complex problems, and how to apply concepts like HCF and LCM to word problems, which are frequently asked in exams.
