EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Square Root and Cube Root
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the least number that must be added to 437 to get a perfect square?
(i)
4
(ii)
1
(iii)
3
(iv)
5
(v)
6
Question
2
2.
If
√
2916
=
54
,
find the value of
√
29.16
(i)
0.5
(ii)
5.4
(iii)
54
(iv)
3.4
(v)
7.4
Question
3
3.
Find the smallest 2 digit number which is a perfect square?
(i)
16
(ii)
18
(iii)
17
(iv)
13
(v)
15
Question
4
4.
The solution of
√
18
lies between
(i)
4.243 and 4.244
(ii)
4.242 and 4.243
(iii)
4.240 and 4.241
(iv)
4.241 and 4.242
(v)
4.244 and 4.245
Question
5
5.
Find the square root of
295.600
(i)
19.193
(ii)
18.193
(iii)
15.193
(iv)
17.193
(v)
16.193
Question
6
6.
Find the smallest 5 digit number which is a perfect square?
(i)
9997
(ii)
10001
(iii)
9999
(iv)
10003
(v)
10000
Question
7
7.
Find the smallest 4 digit number which is a perfect square?
(i)
1022
(ii)
1023
(iii)
1024
(iv)
1025
(v)
1026
Question
8
8.
The smallest number by which 512 must be multiplied so that the product is a perfect square is?
(i)
3
(ii)
5
(iii)
2
(iv)
0
(v)
1
Question
9
9.
Find the value of
25
3
+
24
3
(i)
29448
(ii)
29447
(iii)
29449
(iv)
29452
(v)
29450
Question
10
10.
Which of the following is a perfect square?
(i)
1600
(ii)
1852
(iii)
482
(iv)
1368
(v)
2501
Question
11
11.
The smallest number by which 5488 must be divided so that the quotient is a perfect square is?
(i)
10
(ii)
4
(iii)
6
(iv)
7
(v)
8
Question
12
12.
Find the
cube root
of
-125
(i)
-4
(ii)
-5
(iii)
-6
(iv)
-3
(v)
-7
Question
13
13.
If
√
196
=
14
,
find the value of
√
1960000
(i)
140
(ii)
1402
(iii)
1400
(iv)
14000
(v)
1398
Question
14
14.
Find the square root of
77.50
(i)
7.8
(ii)
9.8
(iii)
6.8
(iv)
10.8
(v)
8.8
Question
15
15.
The solution of
√
10
lies between
(i)
3.1623 and 3.1624
(ii)
3.1622 and 3.1623
(iii)
3.1624 and 3.1625
(iv)
3.1620 and 3.1621
(v)
3.1621 and 3.1622
Question
16
16.
Find the number of numbers between
7
2
and
8
2
(i)
11
(ii)
13
(iii)
15
(iv)
16
(v)
14
Question
17
17.
The solution of
√
13
lies between
(i)
2 and 3
(ii)
5 and 6
(iii)
1 and 2
(iv)
4 and 5
(v)
3 and 4
Question
18
18.
Find the greatest 2 digit number which is a perfect square?
(i)
79
(ii)
84
(iii)
80
(iv)
81
(v)
82
Question
19
19.
How many digits are there in the square root of 8464?
(i)
4
(ii)
2
(iii)
3
(iv)
1
(v)
0
Question
20
20.
Find the value of
23
3
−
22
3
(i)
1520
(ii)
1518
(iii)
1517
(iv)
1519
(v)
1521
Question
21
21.
Which of the following is not a perfect cube?
(i)
64
(ii)
11
(iii)
729
(iv)
1000
(v)
216
Question
22
22.
Find the smallest 3 digit number which is a perfect square?
(i)
101
(ii)
100
(iii)
98
(iv)
99
(v)
103
Question
23
23.
Find the greatest 4 digit number which is a perfect square?
(i)
9801
(ii)
9800
(iii)
9802
(iv)
9799
(v)
9803
Question
24
24.
Find the
square root
of
25
4
(i)
3
2
(ii)
7
2
(iii)
5
4
(iv)
5
(v)
5
2
Question
25
25.
The smallest number by which 1944 must be multiplied so that the product is a perfect cube is?
(i)
2
(ii)
3
(iii)
4
(iv)
1
(v)
0
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (ii)
5) (iv)
6) (v)
7) (iii)
8) (iii)
9) (iii)
10) (i)
11) (iv)
12) (ii)
13) (iii)
14) (v)
15) (ii)
16) (v)
17) (v)
18) (iv)
19) (ii)
20) (iv)
21) (ii)
22) (ii)
23) (i)
24) (v)
25) (ii)