NCERT Solutions for Class 6 Maths Chapter 3 Excercise 3.2 Number Play

3.2 Numbers can Tell us Things 

3.2 Supercells Figure it Out (Page No. 57-58)

Question 1. Colour or mark the supercells in the table below.

Solution:

Question 2. Fill the table below with only 4-digit numbers such that the supercells are exactly the c cells.

Solution:

Question 3. Fill the table below such that we get as many supercells as possible. Use numbers between 100 and 1000 without repetitions.

Solution:

Question 4. Out of the 9 numbers, how many supercells are there in the table above?
Solution: Out of 9 numbers, there are 5 supercells in the above table.

Question 5. Find out how many supercells are possible for different numbers of cells. Do you notice any pattern? What is the method to fill a given table to get the maximum number of supercells? Explore and share your strategy.
Solution:
If there are n odd cells then number of supercells = $\frac{n+1}{2}$
If there are n even cells then number of supercells = $\frac{n}{2}$
Yes, there is a pattern. Alternate cells can be supercells.

Method to fill a given table to get the maximum number of supercells.

• Make first cell as supercell. After that each alternate cell is to be made supercell.

• No consecutive cells can be supercell except in case of 4 cells because then first and fourth cell can be supercell.

Question 6. Can you fill a supercell table without repeating numbers such that there are no supercells? Why or why not?
Solution: No, it is not possible to fill a supercell table without repeating numbers such that there are no supercells.
As there are two cases:

Case I: If we fill the cells in descending order then the first cell be supercell.
Case II: If we fill the cells in ascending order then the last cell will be supercell.

If we don’t follow any order, then there will atleast one supercell.

Question 7. Will the cell having the largest number in a table always be a super cell? Can the cell having the smallest number in a table be a supercell? Why or why not?
Solution: Yes, the cell having the largest number in a table always be a supercell because if it is comer cell, then the number adjacent to it (i.e. either the second cell or the second last cell) will be smaller than it. If it is in between then both its adjacent numbers would be smaller than it.

No, the cell having a smallest number in a table can not be a supercell because the number adjacent to it will always be larger/greater than it.

Question 8. Fill a table such that the cell having the second largest number is not a supercell.
Solution:

Here 980 is the second largest number but it is not a supercell as 999 is the supercell.

Question 9. Fill a table such that the cell having the second largest number is not a supercell but the second smallest number is a super cell. Is it possible?
Solution:

Here 1870 is the second largest number but the cell having 1870 is not a supercell because number 1895 (adjacent to it) is greater than it.

489 is the second smallest number but the cell having 489 is a supercell because adjacent number 475 is smaller to it.

Question 10. Make other variations of this puzzle and challenge your classmates.
Solution: 

Fill a table such that only even numbers are supercell.
Fill a table such that all the supercells are divisible by 5.

Benefits of NCERT Solutions for Class 6 Maths Ex 3.2 Number Play

• Clear Understanding of Divisibility Rules: Helps students easily apply divisibility rules for numbers like 2, 3, 5, and 10.

• Enhances Problem-Solving Skills: By practicing puzzles and number games, students develop logical thinking and problem-solving abilities.

• Improves Mathematical Accuracy: Regular practice of number patterns ensures accurate calculation and identification of prime and composite numbers.

• Boosts Confidence: Step-by-step solutions provided in the chapter make complex problems easier, building confidence in handling number-related questions.

• Prepares for Exams: The solutions cover important concepts in the chapter, ensuring better preparation and performance in exams.

• Real-Life Applications: Learning divisibility rules helps in day-to-day calculations and understanding numerical data in real life.

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 such as divisibility and number properties. By solving the NCERT Solutions for Exercise 3.2 students can improve their understanding and accuracy in working with numbers. These solutions make it easy to grasp the concepts and apply them to solve real-life problems, ensuring better performance in 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-