Number Play – Class 6 Maths Chapter 3 MCQ Questions with Answers | Ganita Prakash Book

Reading Time: 12 minutes

Last Updated on September 30, 2026 by XAM CONTENT

Class 6 Maths • Ganita Prakash

Strengthen your understanding of Number Play with 20 original multiple-choice questions covering supercells, digit sums, palindromes, Kaprekar’s constant, the Collatz conjecture, estimation and number-game strategies. Each question includes an answer and a short explanation so you can check the reasoning, not just the option.

Class
6
Subject
Mathematics
Book
Ganita Prakash
Chapter
3 — Number Play
Practice Type
20 Original MCQs
Answers
With Explanations
🎯
How to use this practice
Attempt first, reveal the answer second

Try each question without opening the answer. After choosing an option, use the answer box to compare your reasoning. These are independently prepared practice questions aligned to the concepts studied in the chapter; they are not official NCERT questions.

🧠
Chapter Practice

Number Play Class 6 MCQ Questions with Answers

Concept, reasoning and application practice from Ganita Prakash Chapter 3
20
MCQs
🔢
Number Play — Mixed Practice Set
Choose the best answer, then reveal the explanation.
Class 6 Ganita Prakash Chapter 3 Answers + Explanations
1

In a height-comparison game, a child standing between two other children says “2”. What does this indicate?

Easy
ABoth neighbours are shorter
BExactly one neighbour is taller
CBoth neighbours are taller
DThe child is the tallest of the three
Correct Answer: C

The number tells how many immediate neighbours are taller. A value of 2 means both adjacent children are taller.

2

Which statement best describes a supercell in the Number Play chapter?

Easy
AIt contains the smallest number in the table
BIts number is greater than all its immediate neighbours
CIts number is equal to all its neighbours
DIt must contain an even number
Correct Answer: B

A supercell is identified by comparing its value with its immediate neighbouring cells. It must be greater than each of them.

3

What is the digit sum of 731?

Easy
A11
B9
C10
D12
Correct Answer: A

Add the digits: 7 + 3 + 1 = 11.

4

Which of the following numbers is a palindrome?

Easy
A1234
B3443
C4567
D2134
Correct Answer: B

3443 reads the same from left to right and from right to left, so it is a palindrome.

5

What is Kaprekar’s constant for the standard 4-digit Kaprekar routine?

Easy
A6174
B1234
C4321
D9999
Correct Answer: A

For a 4-digit number having at least two different digits, repeatedly arranging the digits in descending and ascending order and subtracting leads to 6174.

6

Using the Collatz rule, what comes immediately after 13?

Easy
A40
B14
C6
D4
Correct Answer: A

13 is odd, so apply 3n + 1: 3 × 13 + 1 = 40.

7

What is the smallest 5-digit number in which every digit is odd?

Medium
A11111
B13579
C10001
D11357
Correct Answer: A

The smallest odd digit is 1. Using 1 in all five places gives the smallest possible 5-digit number with only odd digits: 11111.

8

Which number is palindromic?

Easy
A123321
B123421
C112233
D321123
Correct Answer: A

Reversing 123321 gives 123321 again, so it is a palindrome.

9

How many times does the digit 7 appear when writing all whole numbers from 1 to 100?

Medium
A10
B20
C19
D21
Correct Answer: B

There are 10 occurrences in the ones place (7, 17, …, 97) and 10 in the tens place (70–79). The two 7s in 77 are correctly counted separately, giving 20 occurrences.

10

On a digital clock written in HH:MM form, what is the next palindromic time after 10:01?

Medium
A10:10
B11:11
C12:21
D10:11
Correct Answer: B

A palindromic HH:MM time reads the same when the four digits are reversed. After 10:01, the next such time is 11:11.

11

Which 4-digit numbers reach 6174 under the standard Kaprekar routine?

Medium
AEvery 4-digit number, including 1111 and 7777
B4-digit numbers with at least two different digits
COnly even 4-digit numbers
DOnly prime 4-digit numbers
Correct Answer: B

The routine works for 4-digit numbers having at least two distinct digits. When a result has fewer than four digits, leading zeros are retained for the next step.

12

In a table containing distinct numbers, what must be true about the largest number in the table?

Medium
AIt must be a supercell
BIt can never be a supercell
CIt is a supercell only when placed in the centre
DIt is a supercell only when it is even
Correct Answer: A

Because the numbers are distinct, the largest number is greater than every cell next to it. Therefore it satisfies the supercell condition.

13

Which number has digit sum 14?

Easy
A72
B68
C91
D53
Correct Answer: B

6 + 8 = 14. The other digit sums are 9, 10 and 8 respectively.

14

What operation is applied to an odd number in a Collatz sequence?

Easy
ADivide by 2
BMultiply by 3 and add 1
CAdd 5
DSubtract 1
Correct Answer: B

For an odd number n, the Collatz rule gives the next term as 3n + 1.

15

Using the digits 1, 2, 3 and 4 exactly once, what is the difference between the largest and smallest 4-digit numbers that can be formed?

Medium
A3087
B3210
C5085
D4123
Correct Answer: A

Largest = 4321 and smallest = 1234. Therefore 4321 − 1234 = 3087.

16

What is the sum of the smallest and largest 5-digit palindromes?

Medium
A109901
B110000
C199998
D200002
Correct Answer: B

The smallest 5-digit palindrome is 10001 and the largest is 99999. Their sum is 110000.

17

In the game of 21, players add 1, 2 or 3 to the running total and the first to reach 21 wins. Which sequence is the winning set of target numbers for Player 1 when Player 1 starts correctly?

Hard
A1, 5, 9, 13, 17, 21
B2, 6, 10, 14, 18
C3, 7, 11, 15, 19
D4, 8, 12, 16, 20
Correct Answer: A

The target numbers are 1, 5, 9, 13, 17 and 21. After the opponent adds 1, 2 or 3, Player 1 adds the complementary amount so the two moves together advance by 4.

18

A person breathes about 16 times per minute. Which range is the best estimate for the number of breaths in one day?

Medium
A1,000–2,000
B5,000–7,000
C15,000–25,000
D30,000–50,000
Correct Answer: C

16 × 60 × 24 = 23,040, which lies in the range 15,000–25,000.

19

Consider these four situations: (i) 5-digit + 5-digit = 6-digit, (ii) 5-digit − 5-digit = 3-digit, (iii) 5-digit + 3-digit = 6-digit, and (iv) 5-digit − 2-digit = 5-digit. Which statement is correct?

Hard
AAll four situations are possible
BOnly (i) and (ii) are possible
COnly (i) and (iii) are possible
DNone of the four situations is possible
Correct Answer: A

Examples prove each case: 50000 + 50000 = 100000; 10500 − 10000 = 500; 99999 + 999 = 100998; and 20000 − 50 = 19950.

20

Which rule correctly describes the Collatz process?

Easy
AEven → divide by 3; odd → add 5
BEven → divide by 2; odd → 3n + 1
CEven → subtract 1; odd → multiply by 2
DEven → 2n; odd → subtract 2
Correct Answer: B

If the current number is even, divide it by 2. If it is odd, multiply it by 3 and add 1. The claim that every positive starting number eventually reaches 1 is still a conjecture, not a proved theorem.

📌
Quick Revision

Important Number Play Topics to Revise

Use this checklist before attempting the set again.
✓Numbers as information
✓Supercells and neighbouring values
✓Digit sums and digit patterns
✓Palindromic numbers and times
✓Kaprekar routine and 6174
✓Collatz rule and conjecture
✓Estimation with real-life quantities
✓Games and winning strategies
⚠️
Common mistake
Do not treat a conjecture as a proved result

The Collatz process can be tested for many starting values, but the statement that every positive starting number eventually reaches 1 is still unproved.

🔗

Also Check

Content Note

This practice set is independently prepared for revision of the concepts taught in Ganita Prakash, Class 6 Mathematics, Chapter 3 — Number Play. For the official textbook and edition information, refer to NCERT.

Number Play Class 6 Maths Chapter 3 MCQ Questions with Answers — Ganita Prakash

Class 6 Maths MCQ Chapter List

🚀 Boost Your Exam Prep: Get MCQ Questions for all subjects (Class 6-12) now!

👉 Explore more resources on CBSE Class 6

Topics from which mcq questions may be asked

  • Odd and even numbers
  • Magic squares
  • Interesting number patterns

Numbers can surprise us with the fascinating patterns they form.

You may also like

Case Study Questions for CBSE Class 6 ScienceAssertion Reason Questions for CBSE Class 6 Science
MCQ Questions for CBSE Class 6 ScienceExtra Questions for CBSE Class 6 Science
Revision Notes for CBSE Class 6 ScienceCase Study Questions for CBSE Class 6 Maths
Assertion Reason Questions for CBSE Class 6 MathsMCQ Questions for CBSE Class 6 Maths
Extra Questions for CBSE Class 6 MathsCBSE Class 6 All Contents

Frequently Asked Questions (FAQs) on Number Play MCQ Questions

Q1: Why should I practice Class 6 Maths Chapter 3 MCQs?

A1: Practicing MCQs helps in quick revision, improves problem-solving speed, and enhances conceptual understanding of important topics in Class 6 Maths.

Q2: Are these Class 6 Maths MCQs based on the latest syllabus?

A2: Yes, all the MCQs are designed as per the latest CBSE syllabus and exam pattern to help students prepare effectively.

Q3: Where can I find more MCQs for Class 6 Maths?

A3: You can find more chapter-wise MCQs on our website. These are designed to cover important concepts and prepare you for exams.

Q4: Are the answers provided for all MCQs?

A4: Yes, each MCQ is accompanied by the correct answer and explanations to help students understand and learn better.

Q5: How can I improve my performance in Class 6 Maths MCQs?

A5: To improve your performance, practice regularly, revise key concepts, and take mock tests to assess your knowledge.

Q6: Do these MCQs help in school exams?

A6: Yes, these MCQs are aligned with school exam patterns and help in scoring well by strengthening conceptual clarity.

Q7: Can I download these MCQs for offline practice?

A7: Yes, you can download or print these MCQs for convenient offline practice.

Number Play – Class 6 Maths Chapter 3 MCQ Questions with Answers | Ganita Prakash Book

Scroll to Top