EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Square Roots and Cube Roots
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following is a Pythagorean triplet?
(i)
{14,47,49}
(ii)
{14,48,50}
(iii)
{14,50,49}
(iv)
{14,49,51}
(v)
{14,46,50}
Question
2
2.
Identify the Pythagorean triplet whose middle number is 63
(i)
{17,63,62}
(ii)
{18,63,65}
(iii)
{16,63,65}
(iv)
{15,63,64}
(v)
{17,63,64}
Question
3
3.
Find the value of
20
3
−
19
3
(i)
1139
(ii)
1144
(iii)
1142
(iv)
1141
(v)
1140
Question
4
4.
How many digits are there in the square root of 4624?
(i)
(-1)
(ii)
2
(iii)
5
(iv)
1
(v)
3
Question
5
5.
Identify the Pythagorean triplet whose largest number is 82
(i)
{17,81,82}
(ii)
{16,78,82}
(iii)
{18,80,82}
(iv)
{19,79,82}
(v)
{20,81,82}
Question
6
6.
Find the smallest 3 digit number which is a perfect square?
(i)
97
(ii)
100
(iii)
101
(iv)
99
(v)
103
Question
7
7.
Find the
cube root
of
-27
(i)
-3
(ii)
-5
(iii)
-1
(iv)
-2
(v)
-4
Question
8
8.
Find the value of
30
3
+
29
3
(i)
51389
(ii)
51388
(iii)
51390
(iv)
51387
(v)
51391
Question
9
9.
Find the prime factorization of
2254
(i)
2
✕
7
2
✕
23
2
(ii)
2
✕
7
2
✕
21
(iii)
2
✕
10
2
✕
23
(iv)
2
✕
7
✕
23
(v)
2
✕
7
2
✕
23
Question
10
10.
Find the greatest 2 digit number which is a perfect square?
(i)
84
(ii)
80
(iii)
82
(iv)
81
(v)
78
Question
11
11.
If
√
225
=
15
,
find the value of
√
22500
(i)
150
(ii)
1500
(iii)
15
(iv)
152
(v)
148
Question
12
12.
Identify the Pythagorean triplet whose one of the numbers is 24
(i)
{12,24,26}
(ii)
{11,24,25}
(iii)
{9,24,25}
(iv)
{10,24,26}
(v)
{11,24,23}
Question
13
13.
The solution of
√
17
lies between
(i)
4.1232 and 4.1233
(ii)
4.1230 and 4.1231
(iii)
4.1231 and 4.1232
(iv)
4.1229 and 4.1230
(v)
4.1233 and 4.1234
Question
14
14.
The solution of
√
6
lies between
(i)
2.42 and 2.43
(ii)
2.44 and 2.45
(iii)
2.45 and 2.46
(iv)
2.46 and 2.47
(v)
2.43 and 2.44
Question
15
15.
Find the smallest 4 digit number which is a perfect square?
(i)
1025
(ii)
1023
(iii)
1027
(iv)
1021
(v)
1024
Question
16
16.
The smallest number by which 32 must be divided so that the quotient is a perfect square is?
(i)
1
(ii)
2
(iii)
4
(iv)
(-1)
(v)
3
Question
17
17.
If a number has 5 zeros at the end, its square has how many zeros?
(i)
11
(ii)
12
(iii)
7
(iv)
10
(v)
9
Question
18
18.
Find the square root of
9284.3900
(i)
98.3555
(ii)
97.3555
(iii)
94.3555
(iv)
95.3555
(v)
96.3555
Question
19
19.
The solution of
√
11
lies between
(i)
5 and 6
(ii)
4 and 5
(iii)
1 and 2
(iv)
2 and 3
(v)
3 and 4
Question
20
20.
Find the
cube root
of
(
-1
64
)
(i)
(
-1
6
)
(ii)
(
-1
4
)
(iii)
(
-1
2
)
(iv)
(
-3
4
)
(v)
1
4
Question
21
21.
Find the smallest perfect square which is divisible by each of the numbers 15,8,18
(i)
3600
(ii)
5400
(iii)
7200
(iv)
3602
(v)
2881
Question
22
22.
The solution of
√
15
lies between
(i)
3.9 and 4.0
(ii)
4.0 and 4.1
(iii)
3.6 and 3.7
(iv)
3.8 and 3.9
(v)
3.7 and 3.8
Question
23
23.
The solution of
√
15
lies between
(i)
3.871 and 3.872
(ii)
3.870 and 3.871
(iii)
3.874 and 3.875
(iv)
3.872 and 3.873
(v)
3.873 and 3.874
Question
24
24.
If
√
5184
=
72
,
find the value of
√
51840000
(i)
7200
(ii)
7202
(iii)
720
(iv)
72000
(v)
7198
Question
25
25.
Find the smallest 5 digit number which is a perfect square?
(i)
10000
(ii)
9999
(iii)
9998
(iv)
10001
(v)
10002
Assignment Key
1) (ii)
2) (iii)
3) (iv)
4) (ii)
5) (iii)
6) (ii)
7) (i)
8) (i)
9) (v)
10) (iv)
11) (i)
12) (iv)
13) (iii)
14) (ii)
15) (v)
16) (ii)
17) (iv)
18) (v)
19) (v)
20) (ii)
21) (i)
22) (iv)
23) (iv)
24) (i)
25) (i)