NCERT Solutions for Class 6 Maths Number Play Chapter 3 Exercise 3.1 - FREE PDF Download
NCERT Solutions for Class 6 Maths Chapter 3, Exercise 3.1, "Numbers Can Tell Us Things," focuses on helping students understand how numbers can be manipulated and used in various mathematical operations. This exercise encourages students to explore number patterns, identify relationships between numbers, and improve their problem-solving skills. These solutions also offer helpful tips and methods to simplify complex concepts, ensuring that students build a strong foundation in mathematics. Class 6 Maths NCERT Solutions provides clear, step-by-step explanations to make learning easy and engaging. Download the FREE PDF for NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.1 Number Play, prepared by Vedantu experts and aligned with the latest CBSE Class 6 Maths syllabus for convenient practice.
Table of Content
Glance on NCERT Solutions Maths Chapter 3 Exercise 3.1 Class 6 | Vedantu
In NCERT Solutions for Class 6 Maths Chapter 3, Exercise 3.1 - Number Play, students focus on exploring how numbers can be used in different operations and identifying number relationships.
The exercise emphasises understanding how numbers relate to one another and how to manipulate them to solve problems.
The solutions include a variety of examples and practice problems to help students grasp number manipulation concepts.
By working through these solutions, students develop a strong foundation in numerical reasoning and problem-solving, preparing them for more complex mathematical topics.
Exercise 3.1
1. What are these numbers telling us?
Some children in a park are standing in a line. Each one says a number.
2. What do you think these numbers mean?
Ans: The numbers that the children are saying could indicate a pattern or sequence. Based on the image, it looks like there is a repetition of the numbers 0, 1, and 2 in a specific order. These numbers could represent:
A counting sequence or a cycle: The children may be involved in a game where they are counting in a cyclic manner, repeating the sequence of numbers 0, 1, and 2.
Positions in line: The numbers could also represent the children's positions or steps in a game or activity, where each child is assigned a number.
Group identification: The children may be grouped based on these numbers (for example, 0s in one group, 1s in another, and so on).
Try answering the questions below and share your reasoning.
1. Can the children rearrange themselves so that the children standing at the ends say ‘2’?
Ans: Yes, the children can rearrange themselves so that the children standing at the ends say ‘2’. As long as two children are assigned the number ‘2’, they can be positioned at the ends of the line.
2. Can we arrange the children in a line so that all would say only 0s?
Ans: No, the children cannot all say ‘0s’ unless all of them are assigned the number 0. Based on the image, it appears the numbers are predetermined as 0, 1, and 2, so it is not possible to have all of them saying only 0.
3. Can two children standing next to each other say the same number?
Ans: Yes, two children standing next to each other can say the same number, as long as they are assigned the same number in the sequence. There is no restriction against adjacent children saying the same number.
4. There are 5 children in a group, all of different heights. Can they stand such that four of them say ‘1’ and the last one says ‘0’? Why or why not?
Ans: No, it is not possible for four children to say ‘1’ and the last one to say ‘0’, as the pattern in the image includes more than just 1s and 0s (it includes 2s as well). Based on the existing set of numbers (0, 1, 2), you cannot assign ‘1’ to four children while leaving one child with ‘0’.
5. For this group of 5 children, is the sequence 1, 1, 1, 1, 1 possible?
Ans: No, the sequence 1, 1, 1, 1, 1 is not possible, as the pattern involves a variety of numbers (0, 1, and 2), and all the children cannot be assigned the same number, in this case, all 1s.
6. Is the sequence 0, 1, 2, 1, 0 possible? Why or why not?
Ans: Yes, the sequence 0, 1, 2, 1, 0 is possible. This sequence follows a valid pattern where each child can be assigned one of the numbers 0, 1, or 2. The pattern repeats but still includes the available numbers.
7. How would you rearrange the five children so that the maximum number of children says ‘2’?
Ans: To maximise the number of children saying ‘2’, you would arrange the children so that as many as possible are assigned the number ‘2’. If there are no restrictions, and based on how the numbers are assigned, you could potentially arrange the children so that 3 out of 5 say ‘2’, while the remaining two children could be assigned 0 or 1.
Benefits of NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.1 Number Play
The solutions offer clear explanations of number patterns and relationships, helping students develop a solid understanding of how numbers work together.
Each problem is broken down into simple, easy-to-understand steps, ensuring that students grasp the methods involved in solving number-based problems.
Through practice, students improve their problem-solving abilities, which are essential for tackling more complex mathematical concepts.
By working through exercises that involve number manipulation and pattern identification, students develop their logical thinking and reasoning skills.
With well-structured answers, students can confidently approach their exams, knowing they have practised thoroughly and understood the key concepts.
The solutions provide a quick and effective way to revise the chapter, making it easier for students to review important concepts before exams.
Class 6 Maths Chapter 3: Exercises Breakdown
Important Study Material Links for Maths Chapter 3 Class 6
Conclusion
NCERT Solutions for Class 6 Maths Chapter 3, Exercise 3.1 - "Number Play" provides a clear and simple way for students to understand number patterns and relationships. The step-by-step solutions help students improve their problem-solving skills while building a strong foundation in mathematics. These solutions, aligned with the CBSE syllabus, make learning easy and effective, ensuring that students feel confident in their exam preparation. With regular practice using these solutions, students can strengthen their understanding of number concepts and perform well in their studies.
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 Ex 3.1
1. What concepts are covered in NCERT Solutions for Class 6 Maths Chapter 3 Number Play Exercise 3.1?
Exercise 3.1 of Chapter 3 Number Play focuses on number sequences, patterns, and relationships between numbers. Students learn how to identify, continue, and manipulate numerical patterns, essential for building strong problem-solving skills in mathematics as per the CBSE 2025-26 curriculum.
2. How do NCERT Solutions help in understanding number patterns in Class 6 Maths Chapter 3?
The solutions provide step-by-step explanations for each problem, demonstrating how to recognize, extend, and analyze number patterns. This approach helps students grasp fundamental concepts and avoids common errors in pattern identification.
3. Are NCERT Solutions for Class 6 Maths Chapter 3 Number Play aligned with the CBSE syllabus for 2025-26?
Yes, all solutions follow the latest CBSE Class 6 Maths syllabus (2025–26) and cover every exercise and concept outlined by NCERT, ensuring comprehensive exam readiness.
4. What types of questions are included in Exercise 3.1 of Number Play?
Exercise 3.1 mainly consists of questions on identifying, forming, and rearranging number sequences, logic-based scenarios involving repeated patterns, and conceptual questions about the nature of number relationships.
5. Can using NCERT Solutions for Chapter 3 Number Play help students avoid common mistakes with number sequences?
Yes, the solutions highlight frequent misconceptions, such as misunderstanding pattern rules or sequence continuation, and guide students through systematic approaches to check their answers.
6. In what ways do NCERT Solutions for Class 6 Maths Chapter 3 build foundational skills for higher classes?
By thoroughly addressing logical reasoning, pattern recognition, and stepwise problem-solving, these solutions lay the groundwork for advanced topics like algebra, number theory, and higher-order thinking in mathematics.
7. What strategies are recommended in NCERT Solutions Class 6 Maths Chapter 3 for tackling new number patterns?
Students are advised to:
- Observe and describe regularities in the given pattern
- Test possible rules and apply them to predict further terms
- Check for cyclical or repeating patterns
- Write down steps clearly to minimize mistakes
8. How can Class 6 Maths students use these NCERT Solutions for revision before exams?
The structured format of the solutions helps students quickly review each type of question in Chapter 3, practice the solved examples, and reinforce their understanding through repeated practice with answer checks.
9. What if a student finds a different pattern in a sequence than the one shown in NCERT Solutions?
Students should ensure their approach fits the explicit rule or logic described in the textbook. If their reasoning is mathematically correct and matches the sequence requirements, it is usually acceptable, but referencing the NCERT methodology is recommended for exams.
10. Why is understanding number play important for future mathematical learning?
‘Number play’ builds fundamental logical reasoning and number sense. Mastery in these areas supports learning of algebraic expressions, sequences, and mathematical proofs in higher grades.
11. How do NCERT Solutions address higher-order thinking questions in Chapter 3?
Higher-order questions are solved by breaking them into sub-steps, justifying each logical connection, and explaining why certain patterns hold or fail. Students are encouraged to explore ‘what-if’ variations and error analysis.
12. What common misconceptions are clarified in NCERT Solutions for Number Play?
Common misconceptions addressed include misreading the pattern, skipping intermediate steps, or assuming the sequence continues indefinitely without justification. Solutions emphasize careful observation and explicit rule-checking.
13. How can a student improve speed and accuracy using NCERT Solutions for Class 6 Maths Chapter 3?
Practice with solutions reinforces methodical problem-solving. Students should:
- Write each step neatly
- Review solved examples
- Compare approaches
- Re-attempt incorrect answers until consistently correct
14. What is the best way to approach ‘arrangement’ problems in Chapter 3 Number Play?
Students should:
- List possible arrangements
- Check if the arrangement fits all conditions in the question
- Look for repeating cycles or blocks
- Use trial and error strategically, documenting findings
15. Where can students access NCERT Solutions for Class 6 Maths Chapter 3 Number Play for the 2025-26 session?
Students can use the official Vedantu website to access detailed, syllabus-aligned solutions for this chapter as per CBSE 2025–26 recommendations.
