Teachers can assign these Ganita Prakash Class 8 Worksheet and Class 8 Maths Chapter 7 Number Play Worksheet with Answers Pdf Download for daily practice.
Class 8 Maths Chapter 7 Number Play Worksheet with Answers Pdf
Number Play Class 8 Maths Worksheet
Class 8 Maths Chapter 7 Worksheet with Answers – Class 8 Number Play Worksheet
Multiple Choice Questions
Question 1.
Which of the following is not a sum of consecutive numbers?
(a) 15
(b) 10
(c) 7
(d) 8
Answer:
(d) 8
Question 2.
The remainder when 427 is divisible by 9 is
(a) 4
(b) 5
(c) 6
(d) 7
Answer:
(a) 4
Question 3.
The expression always gives an even number is
(a) 3g + 5h
(b) 2a + 2b
(c) x2 + 1
(d) 5k – 2
Answer:
(b) 2a + 2b
Question 4.
A number divisible by both 6 and 4 must be divisible by
(a) 10
(b) 12
(c) 18
(d) 20
Answer:
(b) 12
Question 5.
If 41Z is a multiple of 11, where Z is a digit then the value of Z is
(a) 4
(b) 8
(c) 6
(d) 2
Answer:
(b) 8
Question 6.
The digital root of 999 is
(a) 9
(b) 6
(c) 7
(d) 8
Answer:
(a) 9
Question 7.
If 4X + 12 is equal to Y8 then the value of X + Y is
(a) 12
(b) 13
(c) 6
(d) 7
Answer:
(c) 6
Question 8.
If AB x 4 = 192 then the value of A and AB, respectively are
(a) 2, 48
(b) 3, 47
(c) 4, 47
(d) 4, 48
Answer:
(d) 4, 48
Question 9.
70060800 +109003 is divisible by
(a) 2
(b) 3
(c) 9
(d) 11
Answer:
(d) 11
Question 10.
Which of the following number is divisible by 6?
(a) 297143
(b) 1790184
(c) 291245
(d)180791
Answer:
(b) 1790184
Assertion Reason Type Questions.
1. Assertion (A) The sum of any two multiples of 6 is always divisible by 6.
Reason (R) If a number divides two numbers then it also divides their sum.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
(c) Assertion is true but Reason is false
(d) Assertion is false but Reason is true
Answer:
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
2. Assertion (A) If 2B + AB – 8A then the value of A is 3.
Reason (R) Each letter in the puzzle must be stand for just one digit.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
(c) Assertion is true but Reason is false
(d) Assertion is false but Reason is true
Answer:
(d) Assertion is false but Reason is true
3. Assertion (A) If 54689a is divisible by 9, where ‘a’ is a digit then-ihe-varlue of a is 4.
Reason (R) A number is divisible by 3, if the sum of its digits is divisible by 3.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
(c) Assertion is true but Reason is false
(d) Assertion is false but Reason is true
Answer:
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
4. Assertion (A) A number is divisible by 12 must also be divisible by 2, 3, 4 and 6.
Reason (R) If number is divisible by k is also divisible by all factors of k.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
(c) Assertion is true but Reason is false
(d) Assertion is false but Reason is true
Answer:
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
5. Assertion (A) The product of two consecutive integers is always divisible by 6.
Reason (R) Every pair of consecutive integers contains one even number.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
(c) Assertion is true but Reason is false
(d) Assertion is false but Reason is true
Answer:
(d) Assertion is false but Reason is true
6. Assertion (A) Digital root of 489710 is 1.
Reason (R) The digital root of a number is obtained by repeatedly adding the digits of the number until a single-digit sum is reached.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
(c) Assertion is true but Reason is false
(d) Assertion is false but Reason is true
Answer:
(d) Assertion is false but Reason is true
7. Assertion (A) A number with digital root 9 is always divisible by 9.
Reason (R) Digital root corresponds to remainder on divisible by 9.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
(c) Assertion is true but Reason is false
(d) Assertion is false but Reason is true
Answer:
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
8. Assertion (A) Sum of two multiples of 6 is always multiple of 6.
Reason (R) If M and N are multiples of a then M -N will also be multiple of a.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
(c) Assertion is true but Reason is false
(d) Assertion is false but Reason is true
Answer:
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
Fill in the blanks.
1. If a, b, c and d be the four consecutive numbers and place +, – sign in between the numbers then the number of possible expressions is _________.
Answer:
8
2. The expression 4 × 334 × 3 is an _________ number.
Answer:
even
3. The expression 117 × 201 is an _________ number.
Answer:
odd
4. Adding two even numbers that are multiples of 4 always gives a multiple of _________.
Answer:
4
5. If the sum of four consecutive numbers is 26 then the largest number is _________
Answer:
8
6. A number is divisible by 9 if the sum of its digits is divisible by _________.
Answer:
9
7. If a number leaves a remainder of 3 when divided by 5, it can be expressed as _________.
Answer:
5k + 3
8. The product of two consecutive integers is always divisible by _________.
Answer:
2
9. If A is divisible by k then all _________ of A are divisible by k.
Answer:
multiples
10. The digital root of 729 is _________.
Answer:
9
State whether the statements given below are true or false.
1. All even numbers can be written as the sum of two consecutive numbers.
Answer:
False
2. The sum of four consecutive numbers is always even.
Answer:
True
3. The expression 674 – 244 is an even number.
Answer:
True
4. The digital root of 574 is 4.
Answer:
False
5. If a number is divisible by 8 then it must be divisible by 4.
Answer:
True
6. If 574x is a multiple of 9, where x is a digit then the value of x is 1.
Answer:
False
7. When N is divided by 5, leaves a remainder of 3 and when N is divided by 2, leaves a remainder of 1. The one’s digit of N must be 8.
Answer:
False
8. If A and B are multiples of C then A + B will also be a multiple of C.
Answer:
True
9. The sum of a multiple of 2 and a multiple of 3 is always a multiple of 2.
Answer:
False
10. 876326 is divisible by 3.
Answer:
False
Match the columns.
Question 1.
| Numbers | Digital roots |
| (i) 739 | (a) 3 |
| (ii) 975 | (b) 5 |
| (iii) 923 | (c) 1 |
| (iv) 998 | (d) 8 |
Answer:
| Numbers | Digital roots |
| (i) 739 | (c) 1 |
| (ii) 975 | (a) 3 |
| (iii) 923 | (b) 5 |
| (iv) 998 | (d) 8 |
Question 2.
| Column I | Column II |
| (i) 3m + 9q | (a) Sometimes even, sometimes odd |
| (ii) x2 + 2 | (b) Always even |
| (iii) a + b + c + d | (c) Always odd |
| (iv) 2m + 2n + 1 | (d) divisible by 3 |
Answer:
| Column I | Column II |
| (i) 3m + 9q | (d) divisible by 3 |
| (ii) x2 + 2 | (a) Sometimes even, sometimes odd |
| (iii) a + b + c + d | (b) Always even |
| (iv) 2m + 2n + 1 | (c) Always odd |
Question 3.
| Column I | Column II |
| (i) Divisibility by 2 | (a) Unit digit is 0 or 5 |
| (h) Divisibility by 3 | (b) Number is divisible by both 2 and 3 |
| (hi) Divisibility by 9 | (c) Difference of sum of digits at odd places and even places is divisible by 11 |
| (iv) Divisibility by 11 | (d) Sum of digit is divisible by 9 |
| (v) Divisibility by 6 | (e) Unit digit is even |
| (vi) Divisibility by 5 | (f) Sum of digits is divisible by 3 |
Answer:
| Column I | Column II |
| (i) Divisibility by 2 | (e) Unit digit is even |
| (h) Divisibility by 3 | (f) Sum of digits is divisible by 3 |
| (hi) Divisibility by 9 | (d) Sum of digit is divisible by 9 |
| (iv) Divisibility by 11 | (c) Difference of sum of digits at odd places and even places is divisible by 11 |
| (v) Divisibility by 6 | (b) Number is divisible by both 2 and 3 |
| (vi) Divisibility by 5 | (a) Unit digit is 0 or 5 |
Complete the table.
Question 1.
| Number | Divisible by . | ||
| 2 | 3 | 5 | |
| (i) 732 | Yes | Yes | No |
| (ii) 5823 | |||
| (iii) 3205 | |||
| (iv) 1210 | |||
| (v) 4320 | |||
Answer:
(ii) No, Yes, No
(iii) No, No, Yes
(iv) Yes, No, Yes
(v) Yes, Yes, Yes
Question 2.
| Number | Divisible by | ||
| 6 | 9 | 11 | |
| (i) 1287 | No | Yes | Yes |
| (ii) 2358 | |||
| (iii) 4410 | |||
| (iv) 3080 | |||
| (v) 7290 | |||
| (vi) 9027 | |||
Answer:
(ii) Yes, Yes , No
(iii) Yes, Yes, No
(iv) No, No, Yes
(v) Yes, Yes, No
(vi) No, Yes, No
Question 3.
| Expression | Result Parity |
| (i) Odd + Odd | Even |
| (ii) Odd + Even | |
| (iii) Even + Even | |
| (iv) Odd + Odd | |
| (v) Odd + Even | |
| (vi) Even + Even |
Answer:
(ii) odd
(iii) even
(iv) even
(v) odd
(vi) even
Question 4.
| Statements | Always | Sometimes | Never |
| (i) The sum of two multiples of 8 is divisible by 8. | ✓ | ||
| (ii) If a number is divisible by 12 then it is divisible by 6. | |||
| (iii) Sum of an odd number and an even number is divisible by 6. | |||
| (iv) If a number is divisible by 6 and 4 then it is divisible by 24. | |||
| (v) If a number is divisible by 7 then all multiples of that number will be divisible by 7. | |||
| (vi) If a number is divisible by 7 then it is also divisible by any multiple of 7. |
Answer:
(ii) Always
(iii) Never
(iv) Sometimes
(v) Always
(vi) Sometimes
Very Short Answer Type Questions.
Question 1.
Write two consecutive numbers whose sum is 15.
Answer:
7, 8
Question 2.
What is the remainder when 100 is divided by 9?
Answer:
1
Question 3.
What is the digital root of 246?
Answer:
3
Question 4.
If the sum of four consecutive numbers is 42 then find the smallest number.
Answer:
9
Question 5.
If 15z7 is a multiple of 3, where z is a digit then find the least value of z.
Answer:
2
Question 6.
Find the value of Q in the following multiplication.
Answer:
6
Question 7.
If the division N + 5 leaves a remainder of 1 then what might be the one’s digit of N?
Answer:
1 or 6
Question 8.
If 32x is divisible by 9, where x is a digit then what is the value of x?
Answer:
4
Short Answer Type Questions.
Question 1.
Write two numbers that leave a remainder of 3 when divided by 5.
Answer:
8 and 13
Question 2.
In each of the following numbers, replace * by the smallest number to make it divisible by 3.
(a) 27 * 4
(b) 53 * 46
Answer:
(a) 2
(b) 0
Question 3.
Is 2848593 divisible by 11?
Answer:
Yes
Question 4.
Is the number 17152652 divisible by both 4 and 11?
Answer:
Yes
Question 5.
Find the values of A and B in the following addition.
Answer:
A = 5, B – = 1
Question 6.
Let P is the greatest of seven consecutive numbers. Determine the other 6 numbers in terms of P.
Answer:
p – 1, p – 2, p – 3, p – 4, p – 5, p – 6
Question 7.
If 48101B095 is divisible by 33, then find the value of B.
Answer:
5
Question 8.
Find the value of k, where 31k2 is divisible by 6.
Answer:
0,3, 6, 9
Question 9.
If 123123A4 is divisible by 11, find the value of A.
Answer:
4
Question 10.
If 2A7 ÷ A = 33, then find the value of A.
Answer:
9
Question 11.
If 1AB + CCA = 697 and there is no carry-over in addition, find the value of A + B + C.
Answer:
12
Long Answer Type Questions.
Question 1.
A 5-digit number AABAA is divisible by 33. Write all numbers of this form.
Answer:
33033, 66066, 99099
Question 2.
Prove that the sum of any three consecutive numbers is divisible by 3.
Answer:
Question 3.
Find the value of the letters in each of the following questions.
Answer:
(a) p = 7, 0 = 4
(b) M = 7. L = A
Question 4.
If 2A7 ÷ A = 33, then find the value of A.
Answer:
9
Question 5.
If 148101B095 is divisible by 33, find the value of B.
Answer:
4
Question 6.
212×5 is a multiple of 3 and 11. Find the value of x.
Answer:
8
Case-Based Question.
Question 1.
Ankita was working on a project that involved identifying numbers divisible by 4, 5 and 11. She applied the divisibility rules correctly.
Ankita noted the numbers 1248, 625 and 682.
Based on the above information, answer the following questions.
(i) Is 1248 divisible by 4?
Answer:
Yes
(ii) Is 625 divisible by 5?
Answer:
Yes
(iii) Is 682 divisible by 11?
Answer:
Yes
The post Number Play Class 8 Worksheet with Answers Maths Chapter 7 appeared first on Learn CBSE.
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