CBSE Grade 8 Mathematics Rational Numbers Multiple Choice Questions Worksheet

1 | P a g e S r i t o m a M a j u m d e r
MATHEMATICS
1. The sum of the rational numbers and is:-
(A) (B) (C) (D)
2. What number should be added to to get ?
(A) (B) (C) (D)
3. Which of the rational numbers
, , , is the greatest ?
(A) (B) (C) (D)
4. What number should be subtracted from – to get –2 ?
(A) (B) (C) (D)
5. Which of the follwing rational numbers is in the standard form ?
(A) (B) (C) (D)
6. The sum of two rational numbers is –3. If one of the numbers is –, the other number is :-
(A) (B) (C) (D)
5
16
7
12
7
48
1
24
13
48
1
3
7
12
4
15
19
60
–11
30
51
60
1
20
–11
28
–5
7
9
–14
29
–42
–11
28
–5
7
9
–14
29
–42
3
5
7
–
5
13
5
13
5
7
5
–12
26
–49
91
–9
16
28
–105
–13
3
–19
3
1
3
13
3
RATIONAL NUMBERS

7. The value of is :-
(A) (B) (C) (D) –]
8. The reciprocal of a negative rational number :-
(A) Is a positive rational number
(B) Is a negative rational number
(C) Can be either a positive or a negative rational number
(D) Does not exist
9. The value is :-
(A) (B) (C) (D)
10. Fill in the blanks : ( ..... ) =
(A) (B) (C) (D)
11. Which of the following statement is true?
(A) Every whole number is a natural number
(B) Every natural number is a whole number
(C) '1' is the lest whole number
(D) None of these
12. A student was asked to multiply a number by . Instead he divided the number by
and obtained a number smaller by ; the number is :
(A) (B) (C) (D)
 

 
 
9 8
–
16 15
3
10
4
15
9
25
 

 
 
–5 2
9 3
5
2
5
6
10
27
6
5
4
9 
8
15
32
45
8
5
9
10
5
6
3
2
3
2
3
2
2
3
3
5
4
5
1
2

13. The two missing numbers shown with asterisk in the equation = 19 are :-
(A) 6, 3 (B) 7, 3 (C) 8, 3 (D) 11, 3
14. Which of the following statements is true?
(A) (B)
(C) (D)
15. Which of the following rational numbers lie between and ?
(A) (B) 0 (C) (D) None of these
16. can be expressed in the rational form as :
(A) (B) (C) (D)
17. The value of 4 – is :
(A) (B) (C) (D)
18. Choose the rational number which does not lie between rational numbers and :
(A) (B) (C) (D)
3 1
5 *
* 2

–2 4 –5 7
3 –9 12 –18
  
7 –5 4 –2
–18 12 –9 3
  
4 7 –5 –2
–9 –18 12 3
  
–2 –5 4 7
3 12 –9 –18
  
–3
7
–9
8
–1
2
12
15
18
1000
18
990
18
9900
18
999
5
1
1
1
3
1
2
4
+
+
40
31
4
9
1
8
31
40
2
5
1
5
1
4
3
20
3
10
7
20

19. Which of the following has fractions in ascending order?
(A) (B)
(C) (D)
20. Which of the following fractions is less than and greater than ?
(A) (B) (C) (D)
21. 5 – :-
(A) (B) (C) (D)
22. If 2805 ¸ 2.55 = 1100, then 280.5 ¸ 25.5 =
(A) 1.1 (B) 1.01 (C) 0.11 (D) 11
23. Evaluate :
(A) 2 (B) 3 (C) 4 (D) 5
24. The value of is :-
(A) (B) (C) (D)
25. If a and b are natural numbers such that then the value of ab is :
(A) 81 (B) 24 (C) 192 (D) 375
2 3 7 9 8
, , , ,
3 5 9 11 9
3 2 9 7 8
, , , ,
5 3 11 9 9
3 2 7 9 8
, , , ,
5 3 9 11 9
8 9 7 2 3
, , , ,
9 11 9 3 5
7
8
1
3
1
4
23
24
11
12
17
24
3 1 1 1
2 – 0.5 –
4 2 6 7
 
 
 
 
+ +
 
 
 
 
 
 
 
 
23
2
84
1
3
6
3
3
10
1
5
10
8 – [5 – (–3 2)] 2
| 5 – 3| –| 5 – 8| 3
+ 

4
10
4
9
4
100
9
4
1
b
1
0.3,
a
 
=
 
 

26. If x < – 2, then |1 – |1+x|| equals :
(A) 2 + x (B) x (C) – x (D) – (2 + x)
27. The value of the expresion is equal to :
(A) (B) (C) (D)
28. The expression for any natural number n, is :
(A) Always greater than 1
(B) Always less than 1
(C) Always equal to 1
(D) Not definite
29. When simplified the product equals :
(A) (B) (C) (D)
30. The value of is :
(A) x (B) (C) – 1 (D) 1
31. The value of the expression is equal to :
(A) 0 (B) xa+b+c (C) (D) 1
0.777... 0.33... 0.222
0.777... 0.333... 0.222...
 
+ +
7
162
162
7
163
7
7
163
1 1 1 1
1 – 1 – 1 – .... 1 –
3 4 5 n
       
   
   
   
   
1
n
2
n
2(n 1)
n
− 2
n(n 1)
+
1 1 1
b c a
bc ca ab
c a b
x x x
x x x
     
 
     
     
1
x
a b a c b c b a c a c b
1 1 1
1 x x 1 x x 1 x x
− − − − − −
+ +
+ + + + + +
a b c
1
x + +

32. equal to :
(A) (B) (C) (D)
33. The decimal representation of is :
(A) Terminating (B) Non-terminating recurring
(C) Non-terminating non recuring (D) None of these
34. =
(A) (B) (C) (D)
35. Which of the following number are rational ?
(A) (B) (C) (D)
36. The rational form of 2.74 is :
(A) (B) (C) (D)
37. The value of 0.4 is :
(A) (B) (C) (D)
38. If x = 3 + and y = 3 – then
(A) – 34 (B) 34 (C) (D)
39. 1 + is equal to –
(A) (B) (C) 3 (D)
–1 –1 –1 –1
–1 –1 –1 –1
a b a b
–
a b a – b
 
 
 
+
2 2
2b
b a
−
2 2
2b
a – b 2 2
2a
b – a 2 2
2a
a – b
27
400
2.234
1101
495
1103
495
1106
495
1105
495
19 16 17 18
35
27161
9999
27
99
27161
9900
27161
9000
23
423
1000
419
1000
423
9000
419
990
8 8
2 2
1 1
x y
+ =
12 8 12 8
1
1
1
1
1
3
+
+
1
3
11
7
1
1
3

40.
(A) – 1 (B) 0 (C) 1 (D) None of these
41. An integer can be:
A) Only Positive
B) Only Negative
C) Both positive and negative
D) None of the above
42. A rational number can be represented in the form of:
A) p/q
B) pq
C) p+q
D) p-q
43. The value of
1 3
2 5
 is equal to:
A)
1
2
B)
3
10
C)
3
5
a b 2 b c 2 c a 2
a b c 4
(x ) (x ) (x )
?
(x x x )
+ + +
=
 

D)
2
5
44. The value of (
1
2
) ÷ (
3
5
) is equal to:
A)
3
10
B)
3
5
C)
6
5
D)
5
6
45. The value of
1
2
+
1
4
is equal to:
A)
3
4
B)
3
2
C)
2
3
D) 1
46. The value of
5
4
–
8
3
is:
A)
17
12
B)
17
12
−
C)
12
17
D)
12
17
−

47. The associative property is applicable to:
A) Addition and subtraction
B) Multiplication and division
C) Addition and Multiplication
D) Subtraction and Division
48. The value of (
10
3
− ) x (
15
2
− ) x (
17
19
) x 0 is:
A) 0 B) 22.66
C) 20 D) 35
49. The additive identity of rational numbers is:
A) 0
B) 1
C) 2
D) -1
50 . The multiplicative identity of rational numbers is:
A) 0
B) 1
C) 2
D) -1
51. Which of the following forms a pair of equivalent rational numbers?

(A)
24
40
and
35
50
(B)
25
35
− and
55
77
−
(C)
8
15
− and
24
48
−
(D)
9
72
and
3
21
−
52. Which number is in the middle if
1 4
,
6 9
− ,
6 2 3
,
7 5 4
and −
−
arranged in descending order?
(A)
2
5
(B)
4
9
(C)
1
6
−
(D)
6
7
−
53. Find the multiplicative inverse of -13.
(A) 13
(B) -13
(C)
1
13
−
(D) 12

(A) Every fraction is a rational number.
(B) Every rational number is a fraction.
(C) Every integer is a rational number.
(D) Both (A) and (C).
55. Which of the following is the identity element under addition?
(A) 1 (B) -1 (C) 0 (D) None of these
56. What is the additive inverse of
2
3
− ?
(A) 0
(B) 1
(C)
2
3
(D)
2
3
−
56. Write the additive inverse of
4
5
(A) 1
(B)
4
5
−
(C)
4
5
(D) 0

57. Which among the following is a rational number equivalent to
5
3
−
−
?
(A)
25
15
−
(B)
25
15
−
(C)
25
15
(D)
25
30
−
58. Which of the following is the reciprocal of the reciprocal of a rational number?
(A) -1
(B) 1
(C) 0
(D) The number itself
59. How is
28
84
−
expressed as a rational number with numerator 4?
(A)
4
7
(B)
4
12
−
(C)
4
12
(D)
4
7
−
60. The value of
1
2
×
3
5
is equal to:
(A)
1
2
(
B)
3
10

(C)
3
5
(D)
2
5
61. What should be subtracted from
7
11
−
to get −2?
(A)
15
11
(B)
15
11
−
(C)
29
11
(D)
29
11
−
62. Which of the following is the Multiplicative identity for rational numbers?
63. ________ is not associative for rational numbers.
(A) Subtraction or Division (B) Addition or Multiplication
(C) Addition or Division (D) Multiplication or Division
64. Which of the following is the Multiplicative identity for rational numbers?

65. A number which can be written in the form, p/q where p and q are integers and _____ is
called a rational number.
(A) q = 0 (B) q ≠ 0 (C) q = 1 (D) none of these
66. The value of
1 1
2 4
+ is equal to:
(A)
3
4
(B)
3
2
(C)
2
3
(D) 1
67 . Find the multiplicative inverse of
1
4
(A) 4 (B)
1
4
−
(C) -4 (D)
1
4
68. Which of the following is the reciprocal of a rational number?
(A) -1 (B) 1 (C) 2 (D) Both a and b
69. What is the sum of the additive inverse and multiplicative inverse of 2?
(A)
3
2

(B)
3
2
−
(C)
1
2
(D)
1
2
−
(A) Every fraction is a rational number. (B) Every rational number is a
fraction.
(C) Every integer is a rational number. (D) Both (A) and (C).
71. Find the reciprocal of -2.
(A) 2
(B) -2
(C)
1
2
−
(D) None of these
72. Division by zero is
A) 0 B) 1 C) Not Defined D) None of these
73. Additive identity of
2016
2017
is
A)
2016
2017
−
B)
2015
2009
−
C) -3 D) 0
74. Rational numbers lying between 2 and 3 is/are:

A)
5
2
B)
11
4
C) Both A and B D) Neither A nor B
75. If p and q are any two rational numbers then the rational number between them is
A)
1
2
(p×q) B)
1
2
(p−q) C)
1
2
(p+q) D)
1
2
(p÷q)
76. Name the property of addition used in
1
3
+
1
2
=
1
2
+
1
3
A) Commutative Property B) Associative Property
C) Distributive Property D) Multiplicative Inverse
77. If p is
3
4
of q and q=
2
5
+
5
6
, then p+q is
A)
21
24
B)
21
8
C)
22
8
D)
23
8
78. Multiply
6
11
by the additive inverse of
11
18
. Then, we get.,
A)
1
3
− B)
2
3
C)
1
3
D)
6
121
79. Statement-I: The quotient of two integers is always rational number.
Statement-II:
1
0
is not a Rational number.
A) Both Statement-1 and Statement-11 are true B) Both Statement-1 and
Statement-11 are false

C) Statement-1 is true, Statement-11 is false D) Statement-1 is false, Statement-
11 is true
80. The product of two rational numbers is
28
27
of which one of the numbers is
4
9
−
. Find the
other number.
A)
7
3
B)
3
7
−
C)
3
7
D)
7
3
−
81. Direction for Question: Look at the number line and answer the following Questions:
In the above line representation A represents _________ Rational number.
A)
1
3
B)
3
2
−
C)
1
2
D)
1
2
−
In the above line representation B represents ________ Rational number
A)
4
7
B)
1
2
C)
1
2
−
D)
0
2

In the above line representation C represents ________ Rational number
A)
7
4
B)
11
4
C)
13
4
D)
15
4
84. The sum of any two rational number is always a rational number this statements indicates
_______ property.
A) Closure B) Commutative C) Associative D) Identity
85. If
3
4
×
5
3
×
9
5
×ab=
9
4
, then the additive inverse of ab is
A)
1
4
− B)
1
9
− C) −1 D)
4
9
−
86. By what rational number should we divide
44
9
− so as to get
11
9
− ?
A)
4
3
B)
4
3
− C)
3
4
− D)
3
4

87. Decimal representation of
2
3
is
A) 0.3 B) 0.6 C) 0.2 D) 0.5
88. A terminating decimal term in the following is
A)
3
16
B)
1
15
C)
5
14
D)
2
11
89. In 0.26 period is
A) 2 B) 6 C) 26 D) 62
90. The periodicity of the decimal form of
1
7
is:
A) 15 B) 6 C) 10 D) 4
91. The next Rational number to 0 is
A) 1.001 B) 1.00001 C) 1.0000001 D) Can't be determined
92. Express 0.2562 in the form of
m
n
.
A)
2537
9999
B)
2537
9990
C)
2573
9900
D)
2537
9900
93. Which of the following variable value indicates Rational number?
A) x2=5 B) y2=16 C) z2=−5 D) a2=6

94. Represents
11
27
as decimal
A) 0.470470..... B) 0.740740....... C) 0.740740........ D) 0.407407.........
95. Statement-I:
8
11
is a pure recurring decimal.
Statement-II: A non-terminating recurring decimal, which has no repeating digit after the
decimal point immediately is called pure recurring decimal.
A) Both Statement-I and Statement-II are true.
B) Both Statement-I and Statement-II are false.
C) Statement-I is true, Statement-II is false.
D) Statement-I is false, Statement-II is true.
96. Between any two Rational number there exist _____ rational numbers.
A) 0 B) 100 C) 1 D) Infinite
97. Which of the following numbers is greatest of all?
A) 0.9 B) 0.9 C) 0.09 D) 0.09
98. The value of (0.3467 +0.1333) is:
A) 0.48 B) 0.4801 C) 0.48 D) 0.48
99. If (
1
2
+
1
6
+
1
12
+
1
20
+
1
30
+
1
42
+
1
56
+
1
72
+
1
90
)=
p
q
and HCF of (p, q) = 1 then find p×q =?
A) 90 B) 80 C) 100 D) None of these

CBSE Grade 8 Mathematics Rational Numbers Multiple Choice Questions Worksheet

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