# AP 8th Maths Mock Test 2021 For Chapter – 1 : “Rational Numbers” Online Practice Test

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1. How is - is expressed as a rational number with denominator 20 ?
2. Express and with same denominator.
3. Multiplicative inverse of is
4. Multiplicative inverse of is
5. Multiplicative inverse of is
6. Multiplicative identity in the set of rationals is _____
7. The reciprocal of '0' is _____
8. The reciprocal of '0' is _____
9. The reciprocal of '' is _____
10. What is the sum of additive inverse and multiplicative inverse of -1?
11. What is the sum of additive inverse and multiplicative inverse of 1?
12. can be expressed as a rational number as _______
13. What is the multiplicative inverse of ?
14. Which of the following is correct ?
15. Which of the following are 3 rational numbers between -2 and -1 ?
16. Which of the following are 3 rational numbers between -3 and -2 ?
17. Which of the following are 3 rational numbers between 3 and 4 ?
18. Which of the following are 3 rational numbers between 4 and 7 ?
19. A rational number between and is _____
20. A rational number between and is _____
21. A rational number between and is _____
22. = _____
23. = _____
24. If is the fractional form of then p+q = ____
25. If is the fractional form of then p+q = ____
26. If is the fractional form of then p+q = ____
27. If x = , y = , then = ______
28. The denominator of a fraction which equals to the decimal fraction of is _____
29. +9.1 = _____
30. The reciprocal of 9 lies in the number system _____
31. The differences of the period and periodicity of is ______
32. The product of and reciprocal of is _____
33. The sum of 2 rational numbers is 8 and one of them is . Then the second number is ____
34. The negative of -2 multiplied by its reciprocal gives
35. Which of the following rational has a terminating decimal ?
36. ax - y.ay - z.az - x = ..............
37. Which of the rational numbers - , - , - , - is the greatest ?
38. The reciprocal of 0.75 is ................
39. - =
40. If = then x = ..............
41. Which of the following is not a rational number ?
42. Rama : is a rational number and 5 is only a natural number
Shyama : Both and 5 are rational numbers
Which of the statements are true ?
43. Assertion A : Set of integers is closed under subtraction
Reason R : Difference of two integers is not necessarily an integer
Which of the following statements are true ?
44. a b = b a holds only if ..............
45. Which of the following set of numbers has no identity element under + ?
46. Which of the following is different among  the following rationals ?
47. 0. + 0. + 0. = .............
48. =
49. In the following , multiplicative associative property is
50. = ................
51. Any integer division by zero =
52. The rational number that does not have any reciprocal is ..............
53. Which of the following is only an integer but not a rational number ?
54. Find the natural number but not a rational number ?
55. The set of integers is not closed under
56. a , b Q we have a b Q . This states ...................... property under multiplication of rational number
57. a , b Q we have a  + b = b + a . This states ...................... property under addition in Q
58. Commutative property does not hold under subtraction in the set of ...................
59. a Q we have a 1 = a =  1 a . This indicates ...................... property
60. Additive identity in the set of rational number is ..............
61. Which property can be used in computing + ?
62. If 'n' is a prime number , then  the periodicity of is ......................
63. How many integers are there in between -1 and 1 ?
64. The set of rationals denoted by the letter ..............
65. IF (x + y)z = 1 then z is a multiplicative inverse of ..................
66. Write Y if Yes and N if No in place of i , ii , iii , iv in the following table to complete it in order
67. Match the following of Column - 1 with Column -2.

Column - 1                                                                   Column - 2
1.                 (  )  p) Commutative property
2.        (  )  q) Associative property
3.   (  )  r) Closure property
68. A bus is moving at an average speed of km/hr. How much distance it will cover in hours ?
69. What is the multiplicative inverse of ?
70. The area of a rectangular park whose length is m and breadth is m _____
71. Arrange the steps in order to express in form
1. 10x = 157.3232.......
2. 1000x = 15732.3232........
3. Subtracting we get x =
4. Let x =
72. Identify the rational number shown A marked in the following number line.
73. Write a rational number for the points labelled with letters P, Q, R, S in order on number line.
74. Which letter of the number indicates in the following ?
75. The sets of natural numbers, whole numbers, integers and rational numbers can be put as in the following figures.
76. Integers are combination of
78. Identify the property in 2+3 = 3+2
79. Identify the property in 30 = 03
80. Identify the property in 3-2 2-3
81. Identify the property in 32 23
82. Identify the property in 2+(3+0) = (2+3)+0
83. Identify the property in 2-(3-0) (2-3)-0
84. Identify the property in 2(30) (23)0
85. Identify the property in 2(30) (23)0
86. Do natural numbers obey associative property under addition ?
87. Do whole numbers obey associative property under addition ?
88. Do integers obey associative property under addition ?
89. Do integers obey associative property under addition ?
90. Do rational numbers obey associative property under addition ?
91. Do rational numbers obey associative property under multiplication ?
92. Do integers obey associative property under multiplication ?
93. Do whole numbers obey associative property under multiplication ?
94. Do natural numbers obey associative property under multiplication ?
95. {1 , 2 , 3 ,.........} is the set of
96. {0 , 1 , 2 , 3 ,.........} is the set of
97. {...........- 3 , - 2 , - 1 , 0 , 1 , 2 , 3 ,.........} is the set of
98. Rational numbers are ................. under addition
99. Hamid : is rational and 5 is natural number
Hamida : , 5 are rational
The correct statements are
100. Zero is