EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Square Root and Cube Root
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
√
225
=
15
,
find the value of
√
2250000
(i)
1502
(ii)
15000
(iii)
1498
(iv)
1500
(v)
150
Question
2
2.
Find the greatest 3 digit number which is a perfect square?
(i)
962
(ii)
958
(iii)
961
(iv)
964
(v)
960
Question
3
3.
Find the smallest 3 digit number which is a perfect square?
(i)
97
(ii)
101
(iii)
99
(iv)
102
(v)
100
Question
4
4.
Find the smallest 4 digit number which is a perfect square?
(i)
1021
(ii)
1024
(iii)
1026
(iv)
1025
(v)
1023
Question
5
5.
The smallest number by which 4232 must be divided so that the quotient is a perfect square is?
(i)
2
(ii)
3
(iii)
0
(iv)
1
(v)
5
Question
6
6.
If
√
9604
=
98
,
find the value of
√
960400
(i)
982
(ii)
98
(iii)
9800
(iv)
980
(v)
978
Question
7
7.
Find the smallest perfect square which is divisible by each of the numbers 4,8,15
(i)
961
(ii)
3602
(iii)
480
(iv)
7200
(v)
3600
Question
8
8.
Find the
square root
of
1
9
(i)
1
5
(ii)
1
(iii)
(
-1
3
)
(iv)
1
3
Question
9
9.
The solution of
√
15
lies between
(i)
3.6 and 3.7
(ii)
4.0 and 4.1
(iii)
3.9 and 4.0
(iv)
3.8 and 3.9
(v)
3.7 and 3.8
Question
10
10.
Find the square root of
866.593
(i)
30.438
(ii)
31.438
(iii)
28.438
(iv)
29.438
(v)
27.438
Question
11
11.
If
√
7056
=
84
,
find the value of
√
70.56
(i)
6.4
(ii)
0.8
(iii)
84
(iv)
8.4
(v)
10.4
Question
12
12.
Find the
cube root
of
(
-27
125
)
(i)
(
-3
7
)
(ii)
-1
(iii)
(
-3
5
)
(iv)
(
-1
5
)
Question
13
13.
Find the
cube root
of
-125
(i)
-8
(ii)
-5
(iii)
-3
(iv)
-6
(v)
-4
Question
14
14.
Find the cube root of
10648
(i)
487
(ii)
25
(iii)
22
(iv)
19
(v)
484
Question
15
15.
Find the value of
23
3
+
22
3
(i)
22814
(ii)
22815
(iii)
22812
(iv)
22816
(v)
22818
Question
16
16.
Find the greatest 5 digit number which is a perfect square?
(i)
99857
(ii)
99859
(iii)
99855
(iv)
99854
(v)
99856
Question
17
17.
Which of the following is not a perfect square?
(i)
2302
(ii)
1156
(iii)
1089
(iv)
1849
(v)
225
Question
18
18.
How many digits are there in the square root of 44521?
(i)
4
(ii)
3
(iii)
2
(iv)
1
(v)
6
Question
19
19.
The solution of
√
12
lies between
(i)
3.4642 and 3.4643
(ii)
3.4639 and 3.4640
(iii)
3.4640 and 3.4641
(iv)
3.4643 and 3.4644
(v)
3.4641 and 3.4642
Question
20
20.
Which of the following is a perfect cube?
(i)
216
(ii)
9
(iii)
67
(iv)
999
(v)
123
Question
21
21.
Find the greatest 4 digit number which is a perfect square?
(i)
9801
(ii)
9799
(iii)
9800
(iv)
9802
(v)
9803
Question
22
22.
Find the least number that must be added to 659 to get a perfect square?
(i)
14
(ii)
18
(iii)
20
(iv)
16
(v)
17
Question
23
23.
The solution of
√
8
lies between
(i)
2.830 and 2.831
(ii)
2.826 and 2.827
(iii)
2.829 and 2.830
(iv)
2.828 and 2.829
(v)
2.827 and 2.828
Question
24
24.
The smallest number by which 200 must be multiplied so that the product is a perfect cube is?
(i)
3
(ii)
5
(iii)
4
(iv)
8
(v)
6
Question
25
25.
Find the greatest 2 digit number which is a perfect square?
(i)
84
(ii)
81
(iii)
80
(iv)
82
(v)
78
Assignment Key
1) (iv)
2) (iii)
3) (v)
4) (ii)
5) (i)
6) (iv)
7) (v)
8) (iv)
9) (iv)
10) (iv)
11) (iv)
12) (iii)
13) (ii)
14) (iii)
15) (ii)
16) (v)
17) (i)
18) (ii)
19) (v)
20) (i)
21) (i)
22) (v)
23) (iv)
24) (ii)
25) (ii)