NCERT Solutions for Class 6 Maths Chapter 3 Number Play Ex 3.1

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-