Important Questions on Number Play for Class 8

Important Questions on Number Play for Class 8 are available in this Maths article. Important Questions on Number Play for Class 8 are very useful to solve the problems easily. This article helps the students to know the key questions and answers about Number Play. Number Play covers number patterns, operations, and interesting number tricks, which we use in everyday calculations. 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.

Table of Contents

• Exercise 1: Even and Odd Numbers Questions
• Exercise 2: Consecutive Numbers Questions
• Exercise 3: Divisibility Rules Questions
• Exercise 4: Remainders and Algebraic Representation
• Most Repeated Board Questions on Number Play for Class 8
• Number Play MCQ Questions for Class 8

Exercise 1: Even and Odd Numbers Questions

Question 1: Find whether the following number is even or odd:

4 + 7 + 12

Solution

4 + 7 + 12 = 23

23 is an odd number.

Answer: Odd

Question 2: Is the sum of two odd numbers always even?

Solution

Let the odd numbers be:

2m+1 and 2n+1

Their sum:

(2m+1)+(2n+1)=2(m+n+1)

The result is divisible by 2.

Answer: Yes, the sum of two odd numbers is always even.

Question 3: Find the parity of:

8 + 5 − 3 + 6

Solution

8 + 5 − 3 + 6 = 16

16 is even.

Answer: Even

Question 4: Is the product of two even numbers always even?

Solution

Even numbers are multiples of 2.

(2m)(2n)=4mn

The product is divisible by 2.

Answer: Yes, always even.

Question 5: Find whether:

5m+2

is even or odd when m = 3.

Solution

5(3)+2=17

17 is odd.

Answer: Odd

Exercise 2: Consecutive Numbers Questions

Question 1: Write 15 as a sum of consecutive numbers.

Solution

15 = 7 + 8

Answer: 15 = 7 + 8

Question 2: Express 21 as a sum of three consecutive numbers.

Solution

Let the numbers be:

x−1, x, x+1

Their sum:

(x−1)+x+(x+1)=21

3x=21

x=7

Answer: 6, 7, 8

Question 3: Can 18 be written as a sum of consecutive numbers?

Solution

18=5+6+7

Answer: Yes

Question 4: Find three consecutive even numbers whose sum is 36.

Solution

Let the numbers be:

x, x+2, x+4

x+(x+2)+(x+4)=36

3x+6=36

x=10

Answer: 10, 12, 14

Question 5: Find four consecutive odd numbers whose sum is 48.

Solution

Let the numbers be:

x, x+2, x+4, x+6

4x+12=48

4x=36

x=9

Answer: 9, 11, 13, 15

Exercise 3: Divisibility Rules Questions

Question 1: Check whether 324 is divisible by 9.

Solution

3+2+4=9

9 is divisible by 9.

Answer: Yes

Question 2: Check whether 567 is divisible by 3.

Solution

5+6+7=18

18 is divisible by 3.

Answer: Yes

Question 3: Is 121 divisible by 11?

Solution

(1+1)−2=0

0 is divisible by 11.

Answer: Yes

Question 4: Check whether 7425 is divisible by 5.

Solution

The last digit is 5.

Answer: Yes

Question 5: Find whether 2468 is divisible by 2.

Solution

The last digit is 8, which is even.

Answer: Yes

Exercise 4: Remainders and Algebraic Representation

Question 1: Write the general form of numbers leaving remainder 2 when divided by 5.

Solution

5k+2

Answer: 5k + 2

Question 2: Find a number leaving remainder 3 when divided by 7.

Solution

Example:

10÷7=1 remainder 3

Answer: 10

Question 3: Write the general form of even numbers.

Solution

2n

Answer:  2n

Question 4: Write the general form of odd numbers.

Solution

2n+1

Answer:  2n+1

Question 5: Find the remainder when 45 is divided by 8.

Solution

45=8×5+5

Answer: 5

Most Repeated Board Questions on Number Play for class 8

Question 1: Find whether the sum of three consecutive numbers is divisible by 3.

Solution

Let the numbers be:

x, x+1, x+2

Their sum:

x+(x+1)+(x+2)=3x+3

3(x+1)

Answer: Yes, always divisible by 3.

Question 2: Check whether 999 is divisible by 9.

Solution

9+9+9=27

27 is divisible by 9.

Answer: Yes

Question 3: Find the parity of:

11+13+15

Solution

11+13+15=39

39 is odd.

Answer: Odd

Question 4: Write the algebraic form of numbers divisible by 4.

Solution

4n

Answer

4n

Question 5: Find the remainder when 98 is divided by 6.

Solution

98=6×16+2

Answer: 2

Number Play MCQ Questions for Class 8

Question 1: Which of the following is an even number?

A) 135
B) 247
C) 568
D) 999

Solution

An even number ends with 0, 2, 4, 6, or 8.

Answer: C) 568

Question 2: The sum of two odd numbers is always:

A) Odd
B) Even
C) Prime
D) Composite

Solution

Let the odd numbers be:

2m+1 and 2n+1

Their sum:

(2m+1)+(2n+1)=2(m+n+1)

The result is even.

Answer: B) Even

Question 3: Which of the following numbers is divisible by 3?

A) 124
B) 235
C) 468
D) 701

Solution

4+6+8=18

18 is divisible by 3.

Answer: C) 468

Question 4: The general form of an odd number is:

A) 2n
B) n+1
C) 2n+1
D) 3n

Answer

C) 2n + 1

Question 5: What is the remainder when 29 is divided by 6?

A) 1
B) 3
C) 5
D) 6

Solution

29=6×4+5

Answer: C) 5

Question 6: Which of the following numbers is divisible by 9?

A) 234
B) 567
C) 451
D) 782

Solution

5+6+7=18

18 is divisible by 9.

Answer: B) 567

Question 7: The product of two even numbers is always:

A) Odd
B) Prime
C) Even
D) Composite

Solution

(2m)(2n)=4mn

The result is always even.

Answer: C) Even

Question 8: Find the next number in the pattern:

2, 4, 8, 16, __

A) 20
B) 24
C) 30
D) 32

Solution

Each number is multiplied by 2.

16×2=32

Answer: D) 32

Question 9: Which of the following numbers leaves remainder 2 when divided by 5?

A) 20
B) 27
C) 35
D) 50

Solution

27=5×5+2

Answer: B) 27

Question 10: Three consecutive numbers can be written as:

A)  x,x+1,x+2
B)  x,x+2,x+4
C)  x,x+3,x+6
D)  x,2x,3x

Answer: A) x,x+1,x+2

Question 11: The sum of three consecutive integers is always divisible by:

A) 2
B) 3
C) 5
D) 7

Solution

Let the numbers be:

x, x+1, x+2

Their sum:

3x+3=3(x+1)

Answer: B) 3

Question 12: What is the general form of numbers divisible by 4?

A) 2n
B) 3n
C) 4n
D) 5n

Answer: C) 4n