CBSE Class 8 Mathematics Rational Numbers Worksheet Set A

Question. Mr. Shah, an industrialist, is estimated to have assets worth Rs. 5.2 crores. Which of these could be the actual value of his assets?
(a) Rs. 52,07,900
(b) Rs. 50,29,790
(c) Rs. 5,02,56,770
(d) Rs. 5,23,45,990

Answer : D

Question. Mr. Kaul deposits a fixed amount of money for a 5 year period. Some details of the account (Interest compounded annually) are given below: 
Principal on which interest is computed for the first year : Rs  40000 .Interest earned for the first year : Rs 2000
Interest earned for the second year : Rs 2100
Interest earned for the third year : Rs 2205
The amount (Principal) on which the interest for the fourth year will be calculated is
(a) 2,205
(b) 40,000
(c) 46,305
(d) 46,615

Answer : C

Question. 6789678967896789 ÷ 6789 is equal to
(a) 1111
(b) 10101
(c) 1000100010001
(d) 1000100010001000

Answer : C

Question. Point M (not shown) on the number line is MORE than 4 units away from point Q and LESS than 1 unit away from point S. Where does point M lie?

(a) Between Q and R
(b) Between R and S
(c) Between S and T
(d) To the right of T

Answer : C

Question. Which of these is true for any non-zero rational number p?
(a) p × (- p) = 1
(b) (-p) ÷ p = -1
(c) p - (-p) = 0
(d) -1/ p=p

Answer : B

Question. The integer that is 25 more than (-435) is
(a) -450
(b) -460
(c) -410
(d) 460

Answer : C

Question. Any number that can be written in the form x⁄y (where x, y are integers and y ≠ 0) is a rational number.
Which of the following is NOT a rational number?
(a) 2.353535....
(b) -1/4
(c) 3/0
(d) 7

Answer : C

Question. On which number line is the position of 3.508 shown most accurately?

Answer : A

Question. A pair of rational numbers, when MULTIPLIED, gives the answer as (-1). The numbers could be
(a) (-p) and p
(b) (-p) and (-1)
(c) (-p ) and 1
(d) (-p) and 1/p

Answer : D

Question. A new operation ★ is defined as follows: 
p ★ q=2q - p for all rational numbers p and q.
According to this, what will be the value of 5 ★ 1? ★
(a) -8
(b) -3
(c) 8
(d) 9

Answer : B

Question. c and d are two integers. Which of the following MUST BE TRUE if (-3d) ÷ c is to be a rational number?
(a) d should be a positive number.
(b) d and c should be of opposite signs.
(c) d should be completely divisible by c.
(d) c should not be 0.

Answer : D

Question. .............. represents a number such that -5/6 × .............. = 1
Which of the following statements about .............. is NOT true?
(a) ............... ÷ 5⁄6 = 1
(b) ..............< -5⁄6
(c) 6⁄5 - .............. = 0
(d) .............. lies between -1 and –2

Answer : A

Question. What is one crore, two lakhs and three thousand PLUS twenty seven lakhs, forty three thousand and twenty one?
(a) 2866021
(b) 12946021
(c) 14746021
(d) 14773021

Answer : B

Question. 0, 1, 2, 3, 4... are called Whole Numbers.
x and y are two numbers which satisfy ALL these conditions:
(x + y) is a whole number,
(x - y) is not a whole number and
xy is not a whole number
Which of the following COULD BE values of x and y?
(a) x = 3, y = 2
(b) x = 6, y = 8
(c) x = 4.6, y = 6.4
(d) x = 1. 3, y = 6. 3

Answer : C

Question. Which rational number does the pointer on the number line show?

(a) -1.2
(b) -0.4
(c) 1.2
(d) -0.8

Answer : D
 

True and False :

Question. Every whole no. is a rational no.

Answer : True

Question. Every integer is a rational no.

Answer : True

Question. 0 is a whole number but it is not a rational no.

Answer : False

Question. The reciprocal of a positive rationaln umber is positive.

Answer : True

Very Short Answer type Questions

Question. Ramesh’s camera was loaded with a new roll of film. The film can take 36 snaps. During the class picnic he took 20 pictures. What fraction of the roll can still be used to take snaps.
Answer : 4/9

Question. What is the value of 3/4 x 2/5 + 3/4 x 3/5
Answer : 3/4

Question. Which is not a rational number
(a) 22/39
(b) 731/0
(c) 288
(d) 8(1/3)
Answer : B

Question. Find -5/48 + -11/24
Answer : -9/16

Question. Find -2/15 + 7/30
Answer : 1/10

Question. Complete the following a/b + ........ = 0
Answer : -a/b

Question. If a and b are rational numbers then which is not always true
(a) a + b is a rational number
(b) a – b is a rational number
(c) a × b is a rational number
(d) a + b is a rational number.
Answer : D

Question. What is the additive inverse of 4/9
Answer : 4/9

Question. What is the value of 17/9 x -2/3 + 17/9 x 8/3 - 34/9
Answer : 0

Question. Complete the following .......... + 0 = - (-5/8)
Answer : 5/8

Question. What fraction is 20 paisa of Rs. 6.20?
Answer : 1/31

Question. Find out the missing number 3/7 x x/7 x 7/45 = 1/21
Answer : (5)

Question. Find x if 13/11 x 22/39 x x = 1/9
Answer : 1/6

Question. Find 3/4 + -7/48
Answer : -36/7

Question. Express -3/5 as a rational number with denominator-
i) 20
ii) -30
Answer : i) -3/5 x 4/5 = -12/20
ii) -3/5 x -6/6 = 18/-30

Question. Which of the twor ational numbers is greater in the given pair?
i) -3/4 or 1/4
ii) 2/3 or 3/4
Answer : i) -3/4 is a negative rational no.
So,-3/4 < 0 and 1/4 > 0
i.e -3/4 < 1/4
ii) LCM  of 3 and 4 is 12
so, 2/3 x 4/4 = 8/12
3/4 x 3/3 = 9/12
8/12 < 9/12 i.e, 2/3 < 3/4

Question. Express -42/98 as a rational number with denominator 7.
Answer : -42/98 ÷ 14/14 = -3/7

Question. Thesum of two rational numbersis -14/5. If one of them is-2,find the other.
Answer : Let the other no. be x
According to ques. x + (-2) = -14/5
                           x = (-14/5) + 2
                              = -14 + 10/5
                              = ans. -4/5

Question. What number should be added to-1 so as to get 5/7.
Answer : Let x be added
According to ques.
x + (-1) = 5/7
x = 5/7 +1
x = (5+7)/7
x = 12/7ans

Question. The product of two rational number is -9. If one of the numbers is -12, find theo ther.
Answer : Let the no. bex
x ×(-12)=-9
x = -9/-12
x = 3/4 ans.
 

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