Important Questions on Playing with Numbers for Class 8 are available in this Maths article. These questions help students master divisibility rules, factors, and number patterns easily. The chapter focuses on tests for divisibility by 2, 3, 5, 9, 10, and playing with digits through puzzles. Our subject experts have provided detailed solutions for these problems based on the CBSE syllabus and the NCERT textbook. This material helps students revise the chapter easily and perform well in the final examination.

Important Questions on Playing with Numbers
Most Repeated Board Questions on Playing with Numbers
Most Common Examination Questions (Board Exams)

Important Questions on Playing with Numbers

1. What is the sum of the digits of the number 4829?

Answer: Digits of 4829 are 4, 8, 2, and 9.

4 + 8 + 2 + 9 = 23

So, the sum of the digits is 23.

2. Find the number formed when the digits 5, 2, and 8 are arranged in ascending order.

Answer: Ascending order means smallest to largest.

Digits: 2, 5, 8

Number formed = 258

3. What is the greatest 3-digit number using the digits 3, 7, and 1?

Answer: Arrange the digits in descending order:

7, 3, 1

Greatest number = 731

4. Find the difference between the greatest and smallest numbers formed using the digits 4, 1, and 9.

Answer:

Greatest number = 941
Smallest number = 149

941 - 149 = 792

So, the difference is 792.

5. Is 357 divisible by 3?

Answer: Sum of digits:3 + 5 + 7 = 15

Since 15 is divisible by 3, 357 is divisible by 3.

6. Check whether 728 is divisible by 4.

Answer: A number is divisible by 4 if its last two digits are divisible by 4.

Last two digits = 28

$28%20%5Cdiv%204%20%3D%207$

So, 728 is divisible by 4.

7. Is 945 divisible by 9?

Answer: Sum of digits:

9 + 4 + 5 = 18

Since 18 is divisible by 9, 945 is divisible by 9.

8. Find the smallest 4-digit number formed using the digits 8, 0, 2, and 5.

Answer: The first digit cannot be 0.

Smallest arrangement = 2, 0, 5, 8

Number formed = 2058

9. Write the divisibility rule of 10.

Answer: A number is divisible by 10 if its last digit is 0.

Example: 120, 450, and 890 are divisible by 10.

10. Find whether 12345 is divisible by 5.

Answer: A number is divisible by 5 if the last digit is 0 or 5.

Last digit of 12345 = 5

So, 12345 is divisible by 5.

11. Form the greatest 4-digit number using the digits 6, 1, 9, and 3.

Answer:Arrange the digits in descending order:

9, 6, 3, 1

Greatest number = 9631

12. Find the product of the place values of 5 in 552.

Answer: In 552:

First 5 is in the hundreds place = 500
Second 5 is in the tens place = 50

$500%20%5Ctimes%2050%20%3D%2025000$

So, the product is 25000.

13. Check whether 1110 is divisible by both 2 and 5.

Answer:

Last digit is 0, so it is divisible by 2.
Last digit is also 0, so it is divisible by 5.

Therefore, 1110 is divisible by both 2 and 5.

14. Find the sum of all odd digits in the number 583961.

Answer: Odd digits are 5, 3, 9, and 1.

5 + 3 + 9 + 1 = 18

So, the sum is 18.

15. What is the smallest number divisible by both 2 and 3?

Answer: A number divisible by both 2 and 3 must be divisible by 6.

Smallest such number = 6

Know more about related topics:

Most Repeated Board Questions on Playing with Numbers

If a two-digit number is 4 times the sum of its digits, and the number formed by interchanging the digits is 18 more than the number, find the number.
Find the value of A if the number 7A4 is divisible by 3. How many values are possible?
Show that the sum of any two-digit number and its reverse is always divisible by 11.
Solve: 1 A + A 1 = B 0, where A and B are digits.
Three-digit number abc is written as 100a + 10b + c. If three cyclic arrangements of abc are added, show that the sum is divisible by 3.
Without actual division, check whether 572 is divisible by 11.
If 56X3Y is divisible by both 9 and 5, find the values of X and Y.
The difference between a two-digit number and the number obtained by reversing its digits is 54. Find the difference between the two digits.
Solve the cryptarithmetic puzzle: AB + BA = DAD. Find all possible values of A, B, and D.
Is the number 1001 divisible by 7? Verify using the divisibility rule.

Most Common Examination Questions (Board Exams)

Question Type	Marks
Find missing digit for divisibility by 3 or 9	2
Find missing digit for divisibility by 11	2
Prove that sum of two-digit number and its reverse is divisible by 11	3
Prove cyclic sum of three-digit number is divisible by 3 (or 37)	3 - 4
Cryptarithmetic (letters for digits) addition type	3
Cryptarithmetic multiplication type	4
Number puzzle: given property, find the number	3
Check divisibility without actual division (11, 7, 13)	2
Two-digit number related word problem (age, price, etc.)	4
Explain why divisibility rule for 9 works (concept question)	3

Frequently Asked Questions on Playing with Numbers for Class 8

1. What is “Playing with Numbers” in maths?

Playing with Numbers is a chapter that deals with number patterns, divisibility rules, factors, multiples, and properties of numbers.

2. Why is Playing with Numbers important for Class 8?

It helps students improve logical thinking, mental maths skills, and problem-solving ability.

3. What are divisibility rules?

Divisibility rules are shortcuts used to check whether a number is divisible by another number without actual division.

4. What is the divisibility rule of 2?

A number is divisible by 2 if its last digit is even.

5. What is the divisibility rule of 3?

A number is divisible by 3 if the sum of its digits is divisible by 3.

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Important Questions on Playing with Numbers for Class 8

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