Extra Questions Answers for Class 6 Maths Chapter 3 Number Play - Ganita Prakash
Chapter 3 Number Play Extra Questions Answers for Class 6 Maths is provided here by studyrankers. All the questions are crafted by our experts by keeping in mind that all the important points must be covered. You can also Download PDF of Class 6 Maths Chapter 3 Number Play Extra Questions which will boost the student confidence and help in solving the exercises and questions from the chapter. The chapter is taken from the new NCERT Mathematics textbook, Ganita Prakash.
These Revision Notes for Class 6 Maths will develop you understanding of the chapter and help in gaining good marks in the examinations. We have also provided Chapter 3 Number Play NCERT Solutions which will help you in completing your homework on time. These NCERT Solutions will help an individual to increase concentration and you can solve questions of supplementary books easily. Students can also check Revision Notes for Number Play Class 6 Maths to prepare for their examination completely.
Important Questions for Chapter 3 Number Play Class 6 Maths
Multiple Choice Questions
Question 1. What is the estimated sum of 645 + 876?
(a) 1300
(b) 1400
(c) 1500
(d) 1600
Answer
(c) 1500
Since, 645 is closer to 600,
And, 876 is closer to 900.
Thus, Estimated sum = 600 + 900 = 1500.
Question 2. What is the estimated difference of 812 – 493?
(a) 200
(b) 250
(c) 300
(d) 350
Answer
(c) 300
812 – 493
Since, 812 is closer to 800,
And, 493 is closer to 500.
Thus, Estimated difference = 800 – 500 = 300.
Question 3. Which of the following sets of numbers adds up to 24,539?
(a) 5-digit number = 21,000, 3-digit number = 539
(b) 5-digit number = 20,000, 3-digit number = 439
(c) 5-digit number = 22,000, 3-digit number = 539
(d) 5-digit number = 19,000, 3-digit number = 539
Answer
(b) 5-digit number = 20,000, 3-digit number = 439
20,000 + 439 = 24,539.
Question 4. Which of the following is a 3-digit palindrome that can be formed using the digits 1, 2, and 3?
(a) 111
(b) 122
(c) 123
(d) 132
Answer
(a) 111
A 3-digit palindrome is a number that reads the same forwards and backwards. 111 is a palindrome, while the others are not.
Question 5. Which of the following numbers has digits that add up to 14?
(a) 59
(b) 67
(c) 85
(d) 92
Answer
(a) 59
The sum of the digits of 59 is 5 + 9 = 14.
Fill in the Blanks
Question 1. In the pattern 3000, 3100, 3200, 3300, ......
When placing the number 3600 on a number line, it would be placed just after ____.
Answer
3500
The numbers increase by 100 in each step.
- The sequence is:
3000, 3100, 3200, 3300, 3400, 3500, 3600, ... - The number just before 3600 is 3500.
Question 2. I am a 5-digit palindrome.
I am an odd number.
My ‘t’ digit is double of my ‘u’ digit.
My ‘h’ digit is double of my ‘t’ digit.
Who am I?
__ __ __ __ __
Answer
31513
- The number 31513 is a 5-digit palindrome, as it reads the same forwards and backwards.
- It is an odd number.
- The ‘t’ digit (1) is double the ‘u’ digit (5).
- The ‘h’ digit (3) is double the ‘t’ digit (1).
Question 3. In a grid, a supercell is a number that is ____ than its neighbours directly above, below, left, and right.
Answer
larger
A supercell is defined as a number that is larger than all of its neighbouring numbers in the grid.
Question 4. The digit ‘7’ appears _____ times in the tens place from 1 to 100.
Answer
10
The digit ‘7’ appears in the tens place in the numbers 70 to 79, making it appear 10 times.
Question 5. On a 12-hour clock, the time 10:10 is interesting because it forms a ____ pattern.
Answer
mirrored
The time 10:10 is mirrored because the hour (10) and minute (10) digits are symmetrical, forming a mirror image.
True or False
Question 1. The number 2754 would be placed between 2000 and 3000 on a number line.
Answer
True.
2754 is greater than 2000 but less than 3000, so it correctly falls between these two values on a number line.
Question 2. The number 131 is not a palindrome.
Answer
False.
131 is a palindrome because it reads the same forward and backward.
Question 3. On a number line, 9950 would be placed exactly at 10,000.
Answer
False.
9950 is slightly less than 10,000, so it would be placed just before 10,000 on a number line.
Question 4. The digit ‘7’ appears 100 times in the tens place in numbers from 1 to 1000.
Answer
True.
The digit ‘7’ appears 100 times in the tens place across the numbers 70-79 in each hundred interval (e.g., 170-179, 270-279, etc.).
Question 5. If you reverse the number 123 and add it to the original number, you will get a palindrome.
Answer
True
Reversing 123 gives 321, and adding them results in 444, which is a palindrome.
Solve the Following
Question 1. Write one 5-digit number and two 3-digit numbers such that their sum is 24,530.
Solution
5-digit number = 23,400
3-digit number = 650
3-digit number = 480
Sum = 23,400 + 650 + 480 = 24,530
Question 2. Pranav uses the digits '5', '2', '6', and '3' to make the smallest and largest 4-digit numbers with them: 2356 and 6532.
The difference between these two numbers is 6532 – 2356 = 4176.
The sum of these two numbers is 8888.
Choose 4-digits to make:
(a) The difference between the largest and smallest numbers greater than 4176.
(b) The sum of the largest and smallest numbers greater than 8888.
Solution
(a) Difference greater than 4176
- Digits: 9, 5, 4, and 1
- Largest Number: 9541
- Smallest Number: 1459
- Difference: 9541−1459=8082
8082 > 4176
(b) Sum greater than 8888
- Digits: 9, 7, 6, and 5
- Largest Number: 9765
- Smallest Number: 5679
- Sum:
9765+5679=15444
15444 > 8888
Question 3. Digit sum 18
(a) Write other numbers whose digits add up to 18.
(b) What is the smallest number whose digit sum is 18?
(c) What is the largest 5-digit number whose digit sum is 18?
(d) How big a number can you form having the digit sum 18? Can you make an even bigger number?
Solution
(a) Some numbers whose digits add up to 18 are:
81, 99, 189, 198, 279, 288, 369, 378, 459, 468, 549, 558, 639, 648, 729, 738, 819, 828, 909
(b) The smallest number whose digit sum is 18 = 99
(c) The largest 5-digit number containing 0 whose digit sum is 18 = 98,100
The largest 5-digit number not containing 0 whose digit sum is 18 = 93,111
(d) A very big number having the digit sum 18 can be made, e.g., 980000000000000
Yes, we can make an even bigger number, e.g., 980000000000000000000000000000
Question 4. Create a 4-digit number where the digit sum is 16, and the number is a palindrome. Provide the number.
Solution
A 4-digit palindrome has the form ABBA, where A and B are digits.
We need to find a palindrome where the sum of the digits is 16, meaning:
A+B+B+A=16
2A+2B=16
A + B =8
Now, A must be a nonzero digit (since it's the first digit of a 4-digit number).
- If A = 1, then B = 7 → Number = 1771
- If A = 2, then B = 6 → Number = 2662
- If A = 3, then B = 5 → Number = 3553
Question 5. Identify the numbers marked on the number lines below, and label the remaining positions.
Solution
Creative and Application-Based Questions
Question 1. Mahi is placing numbers on a number line between 1000 and 10,000. She needs to place the number 5030 correctly. Explain where she should place it and why.
Solution
Mahi should place 5030 slightly after the midpoint between 5000 and 6000 because 5030 is just above 5000 but much lower than 6000.
Question 2. Imagine you have a number grid where you want to find a supercell. Describe the steps you would take to identify a supercell in a 3x3 grid.
Solution
Steps to identify a supercell:
- Look at each number in the grid.
- Compare it to its neighbours directly above, below, left, and right.
- If the number is greater than all these neighbours, it is identified as a supercell.
- Repeat for each number in the grid to identify all supercells.
Question 3. Calculate the digit sums of 3-digit numbers whose digits are consecutive (for example, 234, 345). Do you see a pattern? Will this pattern continue?
Solution
If we take numbers in reverse order, the sum of digits will remain the same.
Yes, we observe a pattern:
i.e., (first number + 1) × 3 = digit sum.
This new set of numbers keeps the structure of the original question, while changing the digits and the resulting sums.
Question 4. The time now is 02:15. How many minutes until the clock shows the next palindromic time? What about the one after that?
Solution
Time now – 02:15
Now, the next palindromic time is 02:20
Hence, 02:20 – 02:15 = 5 minutes.
The next one after that is 03:30.
Hence, 03:30 – 02:20 = 70 minutes.
Question 5. We are the group of 5-digit numbers between 40,000 and 80,000 such that all of our digits are even. Who is the largest number in our group? Who is the smallest number in our group? Who among us is the closest to 60,000?
Solution
The largest number with all even digits (different) = 86420
The largest number with all even digits (repetitive) = 88888
The smallest number (non-repetitive) = 40002
The smallest number (repetitive) = 44444
Closest to 60,000 (in case of non-repetition) = 60420
Closest to 60,000 (in case of repetition) = 60000
Question 6. What is the sum of the smallest and largest 5-digit palindrome? What is their difference?
Solution
Case-I: Smallest 5-digit palindrome number (different digits) – 12321
Largest 5-digit palindrome number (different digits) – 98789
Sum = 12321 + 98789 = 111110
Difference = 98789 – 12321 = 86468
Case-II: Largest 5-digit palindrome (same digits) – 99999
Smallest 5-digit palindrome (same digits) – 11111
Sum = 99999 + 11111 = 111110
Difference = 99999 – 11111 = 88888
Question 7. Digit sum 18.
(a) Write other numbers whose digits add up to 18.
(b) What is the smallest number whose digit sum is 18?
(c) What is the largest 5-digit number whose digit sum is 18?
(d) How big a number can you form having the digit sum 18? Can you make an even bigger number?
Solution
(a) Some numbers whose digits add up to 18 are:
99, 189, 288, 297, 369, 459, 567, 678, 777, 885, 993, 1098, 1187, 1276
(b) The smallest number whose digit sum is 18 = 99.
(c) The largest 5-digit number containing 0 whose digit sum is 18 = 99000.
The largest 5-digit number not containing 0 whose digit sum is 18 = 99900.
(d) A very big number having the digit sum 18 can be made.
Yes, we can make an even bigger number, e.g., 9999999999999999999999999999999... (with more 9s).
Question 8. Will reversing and adding numbers repeatedly, starting with a 2-digit number, always give a palindrome?
Solution
All two-digit numbers eventually become palindromes after repeated reversal and addition. About 80% of all numbers under 10,000 resolve into a palindrome in four or fewer steps; about 90% of those resolve in seven steps or fewer.
Example 1: Number 23
- Initial Number: 23
- Reverse: 32
- Add: 23 + 32 = 55
- Palindrome Check: 55 is a palindrome.
- Result: 55 is a palindrome.
Example 2: Number 56
- Initial Number: 56
- Reverse: 65
- Add: 56 + 65 = 121
- Palindrome Check: 121 is a palindrome.
Result: 121 is a palindrome.