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By Karan Singh Bisht
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Updated on 9 Jun 2026, 12:40 IST
The Number Play Class 6 Worksheet with Answers is a valuable learning resource designed to help students master the concepts covered in NCERT Class 6 Maths Chapter 3 - Number Play. This chapter introduces students to exciting mathematical ideas such as supercells, digit sums, palindromes, Kaprekar's Constant, number patterns, estimation, and logical reasoning through engaging activities and puzzles.
PractiCing this Number Play Worksheet Class 6 enables students to strengthen their problem-solving skills, improve their understanding of numbers, and develop mathematical thinking. The worksheet includes a variety of question types such as fill in the blanks, multiple-choice questions (MCQs), true or false, match the following, very short answer questions, short answer questions, long answer questions, HOTS questions, and case study-based questions.
This Number Play Class 6 Worksheet with Answers is prepared according to the latest CBSE syllabus and helps students revise important concepts in a structured manner. Whether you are preparing for class tests, school examinations, homework, or self-study, this Number play worksheet with answers provides comprehensive practice and detailed solutions to boost confidence and improve performance in Mathematics.
Students can also use this Number play worksheet PDF as a quick revision tool to identify their strengths and improve weaker areas before exams. Regular practice with these questions will help build a strong foundation in mathematical reasoning and make learning Maths more enjoyable and interactive.
The Number Play Class 6 Maths Worksheet with Answers PDF helps students practice important concepts from NCERT Maths Chapter 3 - Number Play. It covers topics like supercells, digit sums, palindromes, number patterns, and estimation through engaging questions. This worksheet includes MCQs, fill in the blanks, true or false, match the following, and descriptive questions with answers. Regular practice improves logical reasoning, problem-solving skills, and conceptual understanding. Students can use this Number Play Class 6 Worksheet with Answers for homework, revision, and exam preparation. It is an excellent resource for mastering the chapter in a fun and interactive way.
The Number Play Class 6 Worksheet with Answers is based on NCERT Maths Chapter 3 – Number Play. This worksheet helps students strengthen their understanding of number patterns, digit sums, palindromes, supercells, estimation, Kaprekar's Constant, and logical reasoning. Students can use this Number Play Worksheet PDF for revision, homework, and exam preparation.
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Q. A cell that is greater than all its neighbouring cells is called a __________.
Answer: Supercell
Q. The digit sum of 68 is __________.
Answer: 14
Q. The digit sum of 176 is __________.
Answer: 14
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Q. A number that reads the same forward and backward is called a __________.
Answer: Palindrome
Q. Kaprekar's Constant is __________.
Answer: 6174
Q. In the sequence 6 → 3 → 10 → 5 → 16, the sequence eventually reaches __________.
Answer: 1
Q. The smallest number whose digit sum is 14 is __________.
Answer: 59
Q. The number 121 is a __________.
Answer: Palindrome
Q. A child with no taller neighbours says __________.
Answer: 0
Q. The date 02/02/2020 is a __________ date.
Answer: Palindromic
Q. Which of the following is a palindrome?
a) 123
b) 232
c) 345
d) 456
Answer: b) 232
Q. What is Kaprekar's Constant?
a) 1234
b) 6174
c) 9999
d) 4321
Answer: b) 6174
Q. Which number has digit sum 14?
a) 59
b) 52
c) 41
d) 62
Answer: a) 59
Q. Which of the following is a supercell?
a) A cell smaller than all neighbours
b) A cell larger than all neighbours
c) A cell equal to neighbours
d) None
Answer: b) A cell larger than all neighbours
Q. Which date is palindromic?
a) 12/01/2020
b) 02/02/2020
c) 15/08/2020
d) 10/03/2021
Answer: b) 02/02/2020
Q. What is the digit sum of 345?
a) 10
b) 11
c) 12
d) 13
Answer: c) 12
Q. Which number is the largest?
a) 2180
b) 2754
c) 3600
d) 9950
Answer: d) 9950
Q. Which of the following is not a palindrome?
a) 111
b) 232
c) 121
d) 123
Answer: d) 123
Q. The Collatz sequence eventually reaches:
a) 5
b) 10
c) 1
d) 100
Answer: c) 1
Q. Which number is closest to 10,000?
a) 9950
b) 8400
c) 5300
d) 3600
Answer: a) 9950
Q. Every palindrome reads the same from both directions.
Answer: True
Q. The digit sum of 68 is 15.
Answer: False
Q. 6174 is Kaprekar's Constant.
Answer: True
Q. A supercell is smaller than all its neighbours.
Answer: False
Q. 121 is a palindrome.
Answer: True
Q. The Collatz sequence always starts with 1.
Answer: False
Q. 9950 is greater than 8400.
Answer: True
Q. A child with two taller neighbours says 2.
Answer: True
Q. The date 02/02/2020 is not palindromic.
Answer: False
Q. Number patterns help improve logical reasoning.
Answer: True
| Column A | Column B |
| Palindrome | Reads same forward and backward |
| Supercell | Greater than all neighbours |
| 6174 | Kaprekar's Constant |
| 68 | Digit sum 14 |
| 02/02/2020 | Palindromic date |
| 121 | Palindrome |
| 9950 | Largest number |
| 1500 | Smallest number |
| Child says 0 | No taller neighbour |
| Collatz Sequence | Reaches 1 |
Answers:
Q. What is a palindrome?
Answer: A number that reads the same forward and backward.
Q. What is a supercell?
Answer: A cell whose number is greater than all neighbouring cells.
Q. What is the digit sum of 77?
Answer: 14
Q. What is Kaprekar's Constant?
Answer: 6174
Q. Name one palindromic date.
Answer: 02/02/2020
Q. What does a child say if there are no taller neighbours?
Answer: 0
Q. What is the largest number among 2180, 2754, 3600, and 9950?
Answer: 9950
Q. What is the smallest number among 1500, 2180, and 2754?
Answer: 1500
Q. What is the digit sum of 345?
Answer: 12
Q. What is the final number reached in the Collatz sequence?
Answer: 1
Short Answer Type Questions
1. Explain why 626 is called a supercell.
Answer: 626 is called a supercell because it is greater than all its neighbouring numbers. Since it is larger than both adjacent cells, it satisfies the condition of being a supercell.
2. What do the numbers spoken by children represent in the activity "Numbers Can Tell Us Things"?
Answer: The numbers represent how many taller neighbours a child has. A child may say 0, 1, or 2 depending on the heights of the children standing beside them.
3. What is a digit sum? Give an example.
Answer: The digit sum of a number is obtained by adding all its digits. For example, the digit sum of 68 is 6 + 8 = 14.
4. What is a palindrome? Give two examples.
Answer: A palindrome is a number that reads the same from left to right and right to left. Examples are 121 and 232.
5. Why is 02/02/2020 called a palindromic date?
Answer: The date reads the same forwards and backwards when written in numerical form. Therefore, it is called a palindromic date.
6. Explain the reverse-and-add process.
Answer: In this process, a number is reversed and added to the original number. The process is repeated until a palindrome is obtained.
7. What is Kaprekar's Constant?
Answer: Kaprekar's Constant is 6174. Most 4-digit numbers eventually reach this number when Kaprekar's process is repeatedly applied.
8. What is the purpose of estimation?
Answer: Estimation helps us find approximate values quickly without performing exact calculations. It is useful in everyday situations.
9. Why are number patterns important?
Answer: Number patterns help us identify relationships among numbers. They improve logical reasoning and problem-solving skills.
10. What is the Collatz Conjecture?
Answer: The Collatz Conjecture states that if we repeatedly apply certain rules to a number, the sequence eventually reaches 1.
1. Explain the concept of supercells with an example.
Answer: A supercell is a cell whose value is greater than all of its neighbouring cells. For example, in the arrangement 577, 626, and 345, the number 626 is a supercell because it is greater than both 577 and 345. Supercells help students understand comparison and logical reasoning.
2. Describe the activity "Numbers Can Tell Us Things."
Answer: In this activity, children stand in a line according to their heights. Each child says how many taller neighbours are standing next to them. This activity helps students understand patterns and logical thinking through real-life situations.
3. Explain how digit sums can be used to identify patterns.
Answer: Digit sums are found by adding the digits of a number. When consecutive numbers are examined, interesting patterns appear. For example, the digit sums of 345, 456, and 567 are 12, 15, and 18 respectively, increasing by 3 each time.
4. Explain the process of forming palindromes using reverse-and-add.
Answer: Start with a number and reverse its digits. Add the reversed number to the original number. Repeat this process until a palindrome is obtained. For example, 34 + 43 = 77, which is a palindrome.
5. Explain Kaprekar's process with an example.
Answer: Take a 4-digit number, arrange its digits in descending and ascending order, and subtract the smaller number from the larger one. Repeat the process until 6174 is reached. For example, starting with 6382 eventually leads to 6174.
6. Discuss the importance of estimation in daily life.
Answer: Estimation helps us make quick decisions about distance, time, cost, and quantity. It saves time and provides reasonable approximations when exact calculations are unnecessary.
7. What are palindromic dates and times? Give examples.
Answer: Palindromic dates and times read the same forward and backward. Examples include 02/02/2020 and 10:01. Such patterns make numbers interesting and enjoyable to study.
8. Explain the Collatz sequence using an example.
Answer: If a number is even, divide it by 2. If it is odd, multiply it by 3 and add 1. Repeating this process for 6 gives 6 → 3 → 10 → 5 → 16 → 8 → 4 → 2 → 1.
9. Explain the winning strategy in the Game of 21.
Answer: Players add 1, 2, or 3. The winning positions are 1, 5, 9, 13, 17, and 21. A player who reaches these numbers can force a win by following the pattern.
10. How does Number Play improve mathematical thinking?
Answer: Number Play develops logical reasoning, pattern recognition, estimation skills, problem-solving abilities, and mathematical creativity. It makes learning maths enjoyable and interactive.
1. Can a smallest number in a table ever become a supercell? Explain.
Answer: No, because a supercell must be greater than all its neighbours.
2. Why can two neighbouring cells rarely both be supercells?
Answer: If one cell is larger than the other, only the larger one can be a supercell.
3. Can every number become a palindrome through reverse-and-add? Explain.
Answer: Not always. Some numbers take many steps, and mathematicians are still studying certain cases.
4. Why do digit sums repeat patterns?
Answer: Because place values increase systematically, creating predictable digit-sum behaviour.
5. Why does Kaprekar's process eventually reach 6174?
Answer: The repeated rearrangement of digits creates a pattern that converges to 6174.
6. How would the game strategy change if the winning number were 31 instead of 21?
Answer: The winning pattern would change, but a fixed sequence of winning positions would still exist.
7. Why are palindromic dates rare?
Answer: The arrangement of day, month, and year must satisfy a specific pattern.
8. Can estimation sometimes be more useful than exact calculations?
Answer: Yes, especially when quick decisions are needed.
9. What would happen if the Collatz rules were changed?
Answer: The sequence behaviour could change completely and may not reach 1.
10. Why are number patterns important in mathematics?
Answer: Patterns help discover rules, relationships, and shortcuts for solving problems.
A table contains the numbers 577, 626, 345, 790, and 109.
1. Which numbers are supercells?
Answer: 626 and 790.
2. Why is 626 a supercell?
Answer: It is greater than all neighbouring numbers.
3. Why is 790 a supercell?
Answer: It is greater than adjacent cells.
4. Is 109 a supercell?
Answer: No.
5. What property must every supercell satisfy?
Answer: It must be larger than all neighbours.
Case Study 2: Palindromes
A student writes the numbers 121, 232, 456, 787, and 999.
6. Which numbers are palindromes?
Answer: 121, 232, 787, and 999.
7. Which number is not a palindrome?
Answer: 456.
8. Why is 787 a palindrome?
Answer: It reads the same forwards and backwards.
9. What common feature do all palindromes have?
Answer: Symmetry in digits.
10. Give another example of a palindrome.
Answer: 1331.
The Number Play Class 6 Worksheet with Answers offers several benefits for students preparing for school exams and building strong mathematical skills:
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Students can access the Number Play Class 6 Worksheet with Answers PDF free download on Infinity Learn. The worksheet includes NCERT-based questions, detailed solutions, and practice exercises to help students strengthen their understanding of Chapter 3 - Number Play.
Yes, the Number Play Class 6 Worksheet Ganita Prakash available on Infinity Learn is prepared according to the latest NCERT curriculum and CBSE guidelines. It covers all important topics such as supercells, digit sums, palindromes, estimation, and Kaprekar's Constant.
A Worksheet on Number Play Class 6 PDF helps students revise chapter concepts, practice different types of questions, and improve problem-solving skills. Infinity Learn provides well-structured worksheets with answers that help students prepare effectively for school exams and assessments.
Yes, the Number Play Class 6 Worksheet with Answers CBSE is ideal for self-study. With step-by-step answers and a variety of practice questions, students can evaluate their performance and learn independently. Infinity Learn offers worksheets designed to make learning easy and engaging.
Yes, Infinity Learn provides chapter-wise worksheets for Class 6 Maths, including the Number Play Class 6 Worksheet with Answers PDF free download. These worksheets are aligned with NCERT and CBSE standards and help students build strong conceptual understanding through regular practice.