EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Square Roots and Cube Roots
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Find the prime factorization of
20
(i)
5
2
✕
5
(ii)
2
3
✕
5
(iii)
2
2
✕
4
(iv)
0
✕
5
(v)
2
2
✕
5
Question
2
2.
If
√
4225
=
65
,
find the value of
√
42250000
(i)
6498
(ii)
65000
(iii)
650
(iv)
6502
(v)
6500
Question
3
3.
If
√
2025
=
45
,
find the value of
√
202500
(i)
45
(ii)
4500
(iii)
452
(iv)
448
(v)
450
Question
4
4.
Find the prime factorization of
57
(i)
3
✕
19
2
(ii)
3
✕
18
(iii)
3
✕
19
(iv)
3
✕
22
(v)
3
✕
17
Question
5
5.
Which of the following is not a perfect cube?
(i)
27
(ii)
512
(iii)
1000
(iv)
8
(v)
219
Question
6
6.
How many digits are there in the square root of 65536?
(i)
4
(ii)
3
(iii)
5
(iv)
0
(v)
2
Question
7
7.
Which of the following is a perfect cube?
(i)
29
(ii)
340
(iii)
126
(iv)
63
(v)
8
Question
8
8.
Find the value of
17
3
+
16
3
(i)
9009
(ii)
9012
(iii)
9008
(iv)
9010
(v)
9006
Question
9
9.
Express
21
2
as the sum of two consecutive integers
(i)
222 + 219
(ii)
220 + 221
(iii)
219 + 220
(iv)
218 + 223
(v)
221 + 222
Question
10
10.
Which of the following is not a perfect square?
(i)
2025
(ii)
1934
(iii)
169
(iv)
484
(v)
529
Question
11
11.
Identify the Pythagorean triplet whose one of the numbers is 15
(i)
{9,15,14}
(ii)
{9,15,16}
(iii)
{7,15,16}
(iv)
{10,15,17}
(v)
{8,15,17}
Question
12
12.
Find the value of
27
3
−
26
3
(i)
2109
(ii)
2106
(iii)
2104
(iv)
2107
(v)
2108
Question
13
13.
Find the smallest 5 digit number which is a perfect square?
(i)
10001
(ii)
10003
(iii)
10000
(iv)
9999
(v)
9997
Question
14
14.
The solution of
√
3
lies between
(i)
1.732 and 1.733
(ii)
1.733 and 1.734
(iii)
1.730 and 1.731
(iv)
1.734 and 1.735
(v)
1.731 and 1.732
Question
15
15.
Find the cube root of
2197
(i)
169
(ii)
13
(iii)
16
(iv)
10
(v)
172
Question
16
16.
Find the
square root
of
9
4
(i)
3
2
(ii)
3
(iii)
3
4
(iv)
1
2
(v)
5
2
Question
17
17.
If
√
1521
=
39
,
find the value of
√
15.21
(i)
0.4
(ii)
5.9
(iii)
39
(iv)
1.9
(v)
3.9
Question
18
18.
Find the least number that must be added to 2196 to get a perfect square?
(i)
13
(ii)
12
(iii)
15
(iv)
11
(v)
14
Question
19
19.
Find the square root of
45.20
(i)
5.72
(ii)
8.72
(iii)
7.72
(iv)
4.72
(v)
6.72
Question
20
20.
Which of the following is a perfect square?
(i)
675
(ii)
1764
(iii)
673
(iv)
787
(v)
101
Question
21
21.
Find the square root of
222.530
(i)
12.917
(ii)
14.917
(iii)
16.917
(iv)
15.917
(v)
13.917
Question
22
22.
Find the greatest 4 digit number which is a perfect square?
(i)
9801
(ii)
9798
(iii)
9803
(iv)
9800
(v)
9802
Question
23
23.
The solution of
√
20
lies between
(i)
6 and 7
(ii)
2 and 3
(iii)
3 and 4
(iv)
4 and 5
(v)
5 and 6
Question
24
24.
Find the square root of
3946.4283
(i)
61.8206
(ii)
62.8206
(iii)
60.8206
(iv)
64.8206
(v)
63.8206
Question
25
25.
If a number has 2 zeros at the end, its square has how many zeros?
(i)
4
(ii)
1
(iii)
7
(iv)
5
(v)
3
Assignment Key
1) (v)
2) (v)
3) (v)
4) (iii)
5) (v)
6) (ii)
7) (v)
8) (i)
9) (ii)
10) (ii)
11) (v)
12) (iv)
13) (iii)
14) (i)
15) (ii)
16) (i)
17) (v)
18) (i)
19) (v)
20) (ii)
21) (ii)
22) (i)
23) (iv)
24) (ii)
25) (i)