EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Square Roots and Cube Roots
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Identify the Pythagorean triplet whose middle number is 15
(i)
{9,15,14}
(ii)
{9,15,16}
(iii)
{10,15,17}
(iv)
{7,15,16}
(v)
{8,15,17}
Question
2
2.
Find the square root of
407.900
(i)
20.197
(ii)
21.197
(iii)
18.197
(iv)
22.197
(v)
19.197
Question
3
3.
Find the
cube root
of
1
8
(i)
1
2
(ii)
(
-1
2
)
(iii)
1
(iv)
1
4
(v)
3
2
Question
4
4.
Express
7
2
as the sum of two consecutive integers
(i)
26 + 23
(ii)
24 + 25
(iii)
25 + 26
(iv)
23 + 24
(v)
22 + 27
Question
5
5.
If a number has 3 zeros at the end, its square has how many zeros?
(i)
8
(ii)
5
(iii)
6
(iv)
7
(v)
4
Question
6
6.
Find the greatest 4 digit number which is a perfect square?
(i)
9800
(ii)
9802
(iii)
9804
(iv)
9799
(v)
9801
Question
7
7.
Find the smallest 2 digit number which is a perfect square?
(i)
14
(ii)
19
(iii)
15
(iv)
17
(v)
16
Question
8
8.
The smallest number by which 200 must be multiplied so that the product is a perfect cube is?
(i)
6
(ii)
2
(iii)
4
(iv)
5
(v)
8
Question
9
9.
Identify the Pythagorean triplet whose smallest number is 10
(i)
{10,26,28}
(ii)
{10,26,27}
(iii)
{10,24,26}
(iv)
{10,25,28}
(v)
{10,25,27}
Question
10
10.
Find the value of
11
3
+
10
3
(i)
2330
(ii)
2331
(iii)
2334
(iv)
2332
(v)
2329
Question
11
11.
The solution of
√
12
lies between
(i)
3.466 and 3.467
(ii)
3.462 and 3.463
(iii)
3.463 and 3.464
(iv)
3.464 and 3.465
(v)
3.465 and 3.466
Question
12
12.
Find the value of
21
3
−
20
3
(i)
1263
(ii)
1258
(iii)
1260
(iv)
1261
(v)
1262
Question
13
13.
If
√
7744
=
88
,
find the value of
√
774400
(i)
878
(ii)
880
(iii)
88
(iv)
8800
(v)
882
Question
14
14.
Find the number of numbers between
3
2
and
4
2
(i)
5
(ii)
7
(iii)
6
(iv)
3
(v)
8
Question
15
15.
How many digits are there in the square root of 597529?
(i)
1
(ii)
5
(iii)
2
(iv)
4
(v)
3
Question
16
16.
Identify the Pythagorean triplet whose largest number is 26
(i)
{9,25,26}
(ii)
{11,23,26}
(iii)
{10,24,26}
(iv)
{8,22,26}
(v)
{12,25,26}
Question
17
17.
Find the smallest 5 digit number which is a perfect square?
(i)
9999
(ii)
10001
(iii)
10003
(iv)
9997
(v)
10000
Question
18
18.
Find the
cube root
of
27
(i)
3
(ii)
1
(iii)
4
(iv)
2
(v)
5
Question
19
19.
How many digits are there in the square root of 784?
(i)
4
(ii)
2
(iii)
3
(iv)
0
(v)
1
Question
20
20.
Find the least number that must be added to 832 to get a perfect square?
(i)
10
(ii)
7
(iii)
8
(iv)
11
(v)
9
Question
21
21.
Find the greatest 3 digit number which is a perfect square?
(i)
964
(ii)
962
(iii)
959
(iv)
960
(v)
961
Question
22
22.
Identify the Pythagorean triplet whose one of the numbers is 14
(i)
{14,48,50}
(ii)
{14,50,52}
(iii)
{14,49,51}
(iv)
{14,50,51}
(v)
{14,49,52}
Question
23
23.
Find the smallest perfect square which is divisible by each of the numbers 9,14,18
(i)
1766
(ii)
1764
(iii)
3528
(iv)
1765
(v)
1134
Question
24
24.
Which of the following is a perfect square?
(i)
16
(ii)
2210
(iii)
2028
(iv)
1295
(v)
526
Question
25
25.
The solution of
√
5
lies between
(i)
2.25 and 2.26
(ii)
2.22 and 2.23
(iii)
2.21 and 2.22
(iv)
2.24 and 2.25
(v)
2.23 and 2.24
Assignment Key
1) (v)
2) (i)
3) (i)
4) (ii)
5) (iii)
6) (v)
7) (v)
8) (iv)
9) (iii)
10) (ii)
11) (iv)
12) (iv)
13) (ii)
14) (iii)
15) (v)
16) (iii)
17) (v)
18) (i)
19) (ii)
20) (v)
21) (v)
22) (i)
23) (ii)
24) (i)
25) (v)