EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Square Root and Cube Root
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
How many digits are there in the square root of 312481?
(i)
3
(ii)
5
(iii)
1
(iv)
4
(v)
2
Question
2
2.
The solution of
√
5
lies between
(i)
2.21 and 2.22
(ii)
2.23 and 2.24
(iii)
2.25 and 2.26
(iv)
2.24 and 2.25
(v)
2.22 and 2.23
Question
3
3.
The smallest number by which 432 must be divided so that the quotient is a perfect cube is?
(i)
0
(ii)
4
(iii)
1
(iv)
3
(v)
2
Question
4
4.
Find the square root of
9574.6900
(i)
95.8503
(ii)
99.8503
(iii)
97.8503
(iv)
98.8503
(v)
96.8503
Question
5
5.
If
√
2304
=
48
,
find the value of
√
23.04
(i)
6.8
(ii)
4.8
(iii)
0.5
(iv)
2.8
(v)
48
Question
6
6.
If
√
3025
=
55
,
find the value of
√
0.3025
(i)
0.06
(ii)
2.55
(iii)
8.55
(iv)
0.55
(v)
5.5
Question
7
7.
The smallest number by which 99 must be multiplied so that the product is a perfect square is?
(i)
12
(ii)
11
(iii)
10
(iv)
9
(v)
13
Question
8
8.
Find the least number that must be added to 133 to get a perfect square?
(i)
11
(ii)
12
(iii)
9
(iv)
10
(v)
13
Question
9
9.
Find the square root of
14.06
(i)
1.75
(ii)
5.75
(iii)
3.75
(iv)
4.75
(v)
2.75
Question
10
10.
The smallest number by which 243 must be multiplied so that the product is a perfect cube is?
(i)
2
(ii)
3
(iii)
1
(iv)
4
(v)
0
Question
11
11.
Find the value of
11
3
+
10
3
(i)
2331
(ii)
2332
(iii)
2328
(iv)
2330
(v)
2334
Question
12
12.
Find the cube root of
24389
(i)
26
(ii)
841
(iii)
32
(iv)
844
(v)
29
Question
13
13.
Find the smallest 4 digit number which is a perfect square?
(i)
1022
(ii)
1023
(iii)
1026
(iv)
1025
(v)
1024
Question
14
14.
Find the greatest 3 digit number which is a perfect square?
(i)
961
(ii)
963
(iii)
958
(iv)
962
(v)
960
Question
15
15.
Find the smallest perfect square which is divisible by each of the numbers 15,18,16
(i)
3602
(ii)
3600
(iii)
10800
(iv)
12961
(v)
7200
Question
16
16.
Find the smallest 2 digit number which is a perfect square?
(i)
14
(ii)
16
(iii)
17
(iv)
18
(v)
15
Question
17
17.
Which of the following is not a perfect square?
(i)
1
(ii)
2497
(iii)
625
(iv)
196
(v)
2209
Question
18
18.
Find the smallest 3 digit number which is a perfect square?
(i)
97
(ii)
101
(iii)
100
(iv)
103
(v)
99
Question
19
19.
Find the value of
22
3
−
21
3
(i)
1385
(ii)
1388
(iii)
1390
(iv)
1387
(v)
1386
Question
20
20.
Find the
cube root
of
8
(i)
3
(ii)
-1
(iii)
2
(iv)
5
(v)
1
Question
21
21.
If
√
6724
=
82
,
find the value of
√
672400
(i)
82
(ii)
818
(iii)
8200
(iv)
822
(v)
820
Question
22
22.
Find the
cube root
of
1
8
(i)
3
2
(ii)
1
4
(iii)
1
2
(iv)
1
(v)
(
-1
2
)
Question
23
23.
The solution of
√
6
lies between
(i)
2.449 and 2.450
(ii)
2.450 and 2.451
(iii)
2.448 and 2.449
(iv)
2.447 and 2.448
(v)
2.451 and 2.452
Question
24
24.
What is the unit place digit in the square of 15?
(i)
7
(ii)
5
(iii)
3
(iv)
1
(v)
6
Question
25
25.
If
√
10000
=
100
,
find the value of
√
100000000
(i)
9998
(ii)
10002
(iii)
1000
(iv)
100000
(v)
10000
Assignment Key
1) (i)
2) (ii)
3) (v)
4) (iii)
5) (ii)
6) (iv)
7) (ii)
8) (i)
9) (iii)
10) (ii)
11) (i)
12) (v)
13) (v)
14) (i)
15) (ii)
16) (ii)
17) (ii)
18) (iii)
19) (iv)
20) (iii)
21) (v)
22) (iii)
23) (i)
24) (ii)
25) (v)