AP 8th Maths Mock Test 2021 for Chapter – 6 : “Square Roots and Cube Roots” Online Practice Test

1. Which of the following number is a perfect square ?
2. Which of the following number is a perfect square ?
3. Which of the following number is a perfect square ?
4. Which of the following number is a perfect square ?
5. Which of the following number is a perfect square ?
6.  43^{2}
7.  74^{2}
8.  95^{2}
9.  97^{2}
10.  58^{2}
11. 111^{2}
12. 101^{2}
13. If 3^{2} +4^{2}+12^{2} = x^{2} then x =
14. If the area of a square is 676 m^{2} then its side is _____
15. If  x^{2} = 0.09 then  x^{3} = _______
16.  \sqrt{1681} = _____
17.  \sqrt{1681} = _____
18.  \sqrt{6084} = _____
19.  \sqrt{0.121} = _____
20. The value of  \sqrt{64\times 225}   is  _____
21. The value of  \sqrt{5625}   =  _____
22. The smallest square number which is divisible by each of 4,9 and 10 is ______
23. If x = 2 \times 2 \times 3 \times 3 \times 5 \times 7 \times 35 then  \sqrt{x} = _____
24. The smallest number by which 6000 should be divided to get a perfect square is ______
25. The smallest number by which 720 should be multiplied to get a perfect square is _____
26. If  x^{3} = 512 then x = ____
27.  \sqrt[3]{0.125} = ______
28. The surface area of a cube is 216  m^{2} then its volume is _____
29. The area of a square is 4489 sq.cm. Its side is ____
30. Kotayya's garden contains 1521 trees in some rows. The number of trees in each row is equal to the number of rows in the garden. How many number of trees are there in each row ?
31. Which smallest number should be multiplied by 2400 to be a perfect square ?
32. The cube root of 9261 is
33. One of the factors of 213 + 273 is
34. \sqrt[3]{0.008} + \sqrt[3]{0.343} - \sqrt{0.25} =
35. \sqrt[3]{- 125}\times\sqrt[3]{- 8} =
36. \sqrt[3]{0.000027}\times =
37. What is the value of \sqrt[3]{- 343} ?
38. \sqrt[3]{480} = \sqrt[3]{2}\times 2 \times \sqrt[3]{x} then x =
39. Which of the following is a cube of odd numbers ?
40. Assertion A : 32428 is not a perfect square
Reason R : A number having 2 , 3 , 7 at ones place is never a perfect square
Which of the following are correct ?
41. Statement I : The square of even number is even
Statement II : The square of odd number is odd
Statement III : The square of prime number is prime
Which of the following are correct ?
42. Which of the following have 6 in the units place ?
P. 1362Q. 1022R. 942S. 832
43. Pick out the different number keeping their squares in mind ?
44. 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 =
45. The smallest number which is divisible by a , b , c is their .............
46. Which of the following is not a perfect cube number ?
47. If a = 2b and b = 4c then  \sqrt[3]{ \frac{ a^{2} }{16bc} } =
48. A rational number p < 1 then which of the following is true ?
49. Which of the following is not a perfect square ?
50. Which of the following numbers are squares of even numbers ?
51. What will be the unit digit of the square of 3853 ?
52. How many digits are there in the square of 103 ?
53. How many numbers lie between 252 and 262 ?
54. Which of the following is not a Pythagorean triplet ?
55. Which of the following is a Pythagorean triplet ?
56. Which of the following square number does not have 1 in its one's place ?
57. Which of the following is not a perfect square number ?
58. 12 = 1 , 112 = 121 , 1112 = 12321 , 11112 = 1234321 using this pattern write 111112 =
59. The square root of 2\times3\times5\times3\times2\times5 is
60. Which of the following is a cube of even numbers ?
61. 196 is square for
62. 529 is square for
63. 182 =
64. 192 =
65. 252 =
66. Match the following
a. 3249  ( ) i. 37
b. 1369  ( ) ii. 76
c. 5776   ( ) iii. 57
67. Arrange the following steps in an order so as to find the smallest square number that is divisible by each of 8 , 15 and 20
Step I : 120 = 2\times2\times2\times3\times5
Step II : The required perfect square = 120\times5 = 1800
Step III : The LCM of 8 , 15 and 20 = 120
Step IV : Multiplying 120 by 2\times3\times5 to pair each factors of 120
68. 1521 trees are planted in a garden in such away that there as many trees in each row as there are rows in the garden . Then the number of trees in each row =
69. What is the value of 13 - 23 + 33 - 43 + 53 - 63 + 73 - 83 + 93 - 103 =
70. A cube number is obtained when a number is multiplied itself for ................. times
71. The perfect squares between 100 and 150 are
72. Which of the following is not a perfect square ?
73. A rational number that is equal to square of another rational number is called
74. Which of the following have one in its units place ?
  1. 1262
  2. 1792
  3. 2812
  4. 3632
75. Which of the following have 6 in its units place ?
  1. 1162
  2. 2282
  3. 3242
  4. 3632
76. When a square number ends in 6 , the number whose square it is , will have either ......... or ............. in units place
77. If 8 is even number then the 82 is
78. The number of digits in the square of number 35 will be
79. The number of digits in the square of number 135 will be
80. The number of digits in the square of number 1350 will be
81. Find what would be 272 from the following perfect square
82. 1 = 1 = 12 , 1 + 3 = 4 = 22 , 1 + 3 + 5 = 9 = 32 then 1 + 3 + 5 + 7 =
83.
  1. (11)2 = 121
  2. (101)2 = 10201
  3. (1001)2 = 1002001
  4. (10001)2 = .........
84. Which of the following are palindromes ?
85.
  1. (1)2 = 1
  2. (11)2 = 121
  3. (111)2 = 12321 these are
86.
  • 12 + 22 + 22 = 32
  • 22 + 32 + 62 = 72
  • 32 + 42 + 122 = 132
  • 42 + 52 + (20)2 =
87. How many non perfect square numbers are there between 92 and 102 ?
88. How many non perfect square numbers are there between 152 and 162 ?
89. How many non perfect square numbers are there between 92 and 112 ?
90. Which of the following numbers form Pythagorean triplet ?
91. Find the square roots 441
92. Find the square roots 784
93. Find the square roots 4096
94. Find the smallest number by which 7776 is to be divided to get a perfect square
95. Find the smallest number by which 3645 must be multiplied to get a perfect square
96. The product of two numbers is 1296 . If one number is 16 times the other , find the two numbers ?
97. 7921 soldiers sat in an auditorium in such a way that there are as many soldiers in a row as there are rows in the auditorium . How many rows there in the auditorium ?
98. Find the length of the side of a square whose area is 4489 sq.cm
99. Find the least perfect square with four digits
100. Find the least number which must be added to 6412 to make it a perfect square ?

 

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