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Important Questions for Class 8 Maths - Playing with Numbers

Extra Questions

 Question 1: 
If 51x3 is a multiple of 9, where x is a digits, then what is the value of x?
Solution: We have the sum of the digits of 51x3
                                               = 5 + 1 + x + 3 = 9 + x
Since, 51x3 is divisible by 9.
∴ (9 + x) must be divisible by 9.
∴ (9 + x) must be equal to 0 or 9 or 18 or 27 or …
But x is a digit, then
                    9 + x = 9 ⇒ x = 0
9 + x = 18 ⇒ x = 9
x = 27 ⇒ x = 18, which is not possible.
∴ The required value of x = 0 or 9.

Question 2: If 27x is a multiple of 3 and x is a digit then find the value of x.
Solution: Sum of the digits of 27x
                                             = 2 + 7 + x = 9 + x
Since, 27x is a multiple of 3,
∴ (9 + x) is divisible by 3.
⇒ 9 + x must be equal to 9 or 12 or 15
When 9 + x = 9 ⇒ x = 0
When 9 + x = 12 ⇒ x = 3
When 9 + x = 15 ⇒ x = 6
When 9 + x = 18 ⇒ x = 9
When 9 + x = 21 ⇒ x = 12, which is not possible.             [∵ x is a digit]
The x can equal to 0, 3, 6 or 9.


Practice Exercise
Question 1. Write the following numbers in the generalized form:
(i) 65        (ii) 605
Answer: (i) 60 + 5       (ii) 600 + 0 + 5

Question 2. Write the following numbers in usual form:
(i) 7 x 100 + 10 x 5 + 9 x 1 (ii) 4 x 100 + 10 x 0 + 7 x 1
Answer: (i) 759          (ii) 407
 

Question 3. Is 307 divisible by 9?
Answer: No

Question 4. Is 1125 divisible by 3?
Answer:  Yes

Question 5. Is 10011 divisible by 3?
Answer: Yes

Question 6. If 42x5 is a multiple of 9 and x is a digit, then find the value of x.
Answer: x = 7

Question 7. If 3x12 is a multiple of 3 and x is digit, then find the value of x.
Answer: x = 0 or 3 or 6 or 9
 

Question 8. If 35x is a multiple of 9 and x is digit, then find the value of x.
Answer: x = 1

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FAQs on Important Questions for Class 8 Maths - Playing with Numbers

1. What is the importance of the Playing with Numbers class 8?
Ans. Playing with Numbers class 8 is important as it helps students understand the concepts of numbers, operations, and patterns in a fun and engaging way. It enhances their problem-solving skills and logical reasoning abilities.
2. How can playing with numbers benefit class 8 students?
Ans. Playing with numbers can benefit class 8 students by improving their mathematical skills and understanding. It allows them to explore number patterns, develop mental math strategies, and strengthen their problem-solving abilities.
3. What are some examples of activities in the Playing with Numbers class 8?
Ans. Some examples of activities in the Playing with Numbers class 8 include solving number puzzles, playing math games, exploring number patterns, and solving real-life word problems related to numbers.
4. How does the Playing with Numbers class 8 help in exam preparation?
Ans. The Playing with Numbers class 8 helps in exam preparation by providing students with a solid foundation in number concepts and operations. It allows them to practice various problem-solving techniques and gain confidence in tackling math questions.
5. Are there any online resources available for the Playing with Numbers class 8?
Ans. Yes, there are many online resources available for the Playing with Numbers class 8. These resources include interactive math games, practice worksheets, video tutorials, and online quizzes to help students reinforce their learning and prepare for exams.
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