CBSE Class 8 Mathematics Playing With Numbers Worksheet Set 01

Question. Identify the incorrect statement.
(A) The sum of two odd numbers is always odd.
(B) The product of two odd numbers is always odd.
(C) The sum of two even numbers is always even.
(D) The product of two even numbers is always even.
Answer : A

Question. Find the value of P. Q, RandS respectively.
                            P  Q  R  S
                                      x  9
                            S  R  Q  P
(A) 1, 0, 8, 9
(B) 8, 1, 0, 9
(C) 1, 0, 9, 8
(D) 1, 9, 0, 8
Answer : A

Question. x 2 + x + 11 is a prime number. Which of the following is not a value of· x '?
(A) 1
(B) 3
(C) 4
(D) 2
Answer : B

Question. The remainder when 'x' is divided by 5 equals the remainder when 'x' is divided by 4. Which of the following could not be a value of 'x'?
(A) 20
(B) 24
(C) 21
(D) 22
Answer : B

Question. Which number is divisible by 6?
(A) 213
(B) 468
(C) 621
(D) 573
Answer : A

Question. If 'q' is an integer between 50 and 70 which can be expressed as 7j + 3, for some integer j what is a possible value of 'q'?
(A) 59
(B) 53
(C) 64
(D) 68
Answer : A

Question. If 'r' and 's' are both odd integers, which of the following must be an even integer?
(A) r+S/2
(B) 2rs
(C) rs/2
(D) 3rs
Answer : B

Question. Z is a three digit even number less than 200, and more than 190 that is divisible by 7. Find Z.
(A) 196
(B) 193
(C) 199
(D) 197
Answer : A

Question. The units digit of a two digit number is 3 times the tens digit. If the digits are reversed, the resulting number is 36 more than the original number. What is the original number?
(A) 26
(B) 36
(C) 93
(D) 39
Answer : A

Question. 30 is expressed in terms of prime numbers. Which of the expressions is incorrect?
(A) 30 = 12 + 18
(B) 30 = 11 + 19
(C) 30 = 13 + 17
(D) 30 = 2 X 3 X 5
Answer : A

Question. If a, b, c and d are consecutive multiples of 5 and a < b < c < d, what is the value of (a -c) (d -b)?
(A) 100
(B) -100
(C) 25
(D) -25
Answer : B

Question. What is the remainder when the sum of three consecutive even integers is divided by 6?
(A) 4
(B) 1
(C) 0
(D) 3
Answer : C

Question. How many numbers between 1 and 200 are multiples of 5 and are divisible by 3?
(A) 100
(B) 50
(C) 95
(D) 93
Answer : D

Question. If a = 4b + 26, and 'b' is a positive integer, which of the following does not divide 'a '.?
(A) 2
(B) 5
(C) 4
(D) 6
Answer : C

Question. Identify a factor of 261111.
(A) 8
(B) 3
(C) 4
(D) 2
Answer : B

Question. Find the value of P. Q, RandS respectively.
                                   R  S
                              Q  R  S
                     +  Q  P  R  S
                         1   9  8   9
(A) 6,1,7,3
(B) 1, 7,3,6
(C) 7, 1,6,3
(D) 1, 6, 3, 7
Answer : C

Question. If 'n' is an even integer, which of the following must be an odd integer?
(A) 3n - 2
(B) n - 2
(C) 3(n + 1)
(D) -n3
Answer : C

Question. What is the difference between four digit greatest and smallest number, divisible by 11.
Answer : 8998

Question. If the division N + 5 leaves a remainder 4 and the division N 2 leaves a remainder 1. What must be the ones digit of N.
Answer : 9

Question. What least number should be added to 16751. So that the number is divisible by 10.
Answer : 9

Question. If 343M587 is a multiple of 9 where M is a digit. What is the value of M.
Answer : 6

Question. What number should be added to 152875 to make it exactly divisible by 9.
Answer : 8

Question. What least number should be subtract from 26257. So that the number is divisible by 10.
Answer : 7

Question. What should be added to 981753 so that the number is divisible by both 5 and 10.
Answer : 7

Question. What least number should be added to 98455. So that the number is divisible by 3.
Answer : 2

Question. If 26436T is a multiple of 11. Where T is a digit. What is the value of T.
Answer : 3

34. Find smallest four digit number which is divisible by 9.
Answer : 1008

Question. What is the greatest four digit number exactly divisible by 11.
Answer : 9999

Question. Which number is divisible by 2.
35243, 10301, 34567, 12345, 24680
Answer : 24680

Question. What is the difference between three digit largest and smallest number which is divisible by 3. 
Answer : 897

Question. Which least number should be added to 13076 to make it exactly divisible by 11.
Answer : 3

Question. What should be subtracted from 7528764 to make it exactly divisible by 9.
Answer : 3

Question. If the sum of a two digit number and number obtained by reverse the digit is divide by 11. What is the remainder?
Answer : 0

Question. Find the greatest five digit number which is divisible by 5.
Answer : 99995

Question. Which number is divisible by 11.
15287, 16181, 35685, 84215
Answer : 16181

Question. Which number is divisible by 9
152875, 423513, 910542, 634526, 543215
Answer : 423513

Question. If the three digit number 3x5 is divisible by 9. What is the value of x.
Answer : 1

Question. What is the smallest four digit number exactly division by 11.
Answer : 1001

Question. If the number 123A4 is divide by 3. It leaves a remainder 1. What is the least value of A.
Answer : 0

Question. If 23B4 is a multiple of 3. Where B is a digit. What is the least value of B.
Answer : 0

Question. Which least number should be substructed from 42384 to make it exactly divisible by11.
Answer : 1

Question. What least number should be subtracted from 35875 to make it exactly divisible by 11.
Answer : 4

Please refer to the link below for CBSE Class 8 Mathematics Worksheet - Playing with Numbers