Number Play — Class 6 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 6 Mathematics chapter "Number Play" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 6 Mathematics chapter "Number Play" — 8 important questions with detailed answers for CBSE board exam prep…

By Syllab.in · Updated Jun 14, 2026

Key Questions Covered:

Use the digits 2, 3, and 7 to form the smallest and largest 3-digit numbers.
Find the magic number where 18 × magic number = 18. What is the magic number?
What is special about the number 1 in multiplication?
Is 51 divisible by 3? Show your working using divisibility rules.
A number when divided by 5 leaves no remainder. What must be its last digit?
Using the digits 1, 2, 3 (each exactly once), form a number divisible by 4.
+ 2 more questions in the full chapter

Solutions Summary:

Question	Status
Use the digits 2, 3, and 7 to form the smallest and large…	✓ Solved
Find the magic number where 18 × magic number = 18. What …	✓ Solved
What is special about the number 1 in multiplication?	✓ Solved
Is 51 divisible by 3? Show your working using divisibilit…	✓ Solved
A number when divided by 5 leaves no remainder. What must…	✓ Solved
Using the digits 1, 2, 3 (each exactly once), form a numb…	✓ Solved

Showing 6 of 8 questions

Q1: Use the digits 2, 3, and 7 to form the smallest and largest 3-digit numbers.

Step 1: List the digits available: 2, 3, 7 Step 2: To form the smallest 3-digit number, arrange digits in ascending order Smallest number: 237 Step 3: To form the largest 3-digit number, arrange digits in descending order Largest number: 732 Step 4: Verify 237 < 732 ✓ Answer: Smallest = 237, Largest = 732

Q2: Find the magic number where 18 × magic number = 18. What is the magic number?

We need to find the number that when multiplied by 18 gives 18. Step 1: Set up the equation 18 × magic number = 18 Step 2: Divide both sides by 18 magic number = 18 ÷ 18 magic number = 1 Step 3: Verify: 18 × 1 = 18 ✓ Answer: The magic number is 1

Q3: What is special about the number 1 in multiplication?

Step 1: Test multiplication with 1 5 × 1 = 5 10 × 1 = 10 100 × 1 = 100 Step 2: Observe the pattern When any number is multiplied by 1, the result is that same number Step 3: Name this property This is called the multiplicative identity property or multiplication by 1 Answer: 1 is the multiplicative identity. When any number is multiplied by 1, the result is the number itself. The number remains unchanged.

Q4: Is 51 divisible by 3? Show your working using divisibility rules.

To check divisibility by 3, use the rule: A number is divisible by 3 if the sum of its digits is divisible by 3. Step 1: Find the sum of digits in 51 Digits: 5 and 1 Sum = 5 + 1 = 6 Step 2: Check if 6 is divisible by 3 6 ÷ 3 = 2 (exactly, no remainder) Yes, 6 is divisible by 3 Step 3: Verify by dividing 51 by 3 51 ÷ 3 = 17 Answer: Yes, 51 is divisible by 3 because the sum of its digits (5 + 1 = 6) is divisible by 3. Also, 51 = 3 × 17

Q5: A number when divided by 5 leaves no remainder. What must be its last digit?

Use the divisibility rule for 5: A number is divisible by 5 if its last digit is 0 or 5. Step 1: Remember the rule for divisibility by 5 If a number ends in 0 or 5, it can be divided by 5 evenly Step 2: Explain why Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ... Notice all end in either 0 or 5 Step 3: Any number that leaves no remainder when divided by 5 must end in 0 or 5 Example: 25 ÷ 5 = 5, 40 ÷ 5 = 8 Answer: The last digit must be either 0 or 5

Q6: Using the digits 1, 2, 3 (each exactly once), form a number divisible by 4.

To check divisibility by 4: A number is divisible by 4 if the last two digits form a number divisible by 4. Step 1: List all possible 3-digit numbers using 1, 2, 3 (each once) 123, 132, 213, 231, 312, 321 Step 2: Check the last two digits of each for divisibility by 4 123: last two digits = 23. Is 23 divisible by 4? 23 ÷ 4 = 5.75 (NO) 132: last two digits = 32. Is 32 divisible by 4? 32 ÷ 4 = 8 (YES) ✓ 213: last two digits = 13. Is 13 divisible by 4? 13 ÷ 4 = 3.25 (NO) 231: last two digits = 31. ...

Showing 6 of 8 questions. Visit the full page for complete solutions.