EduSahara™ Worksheet

Question 1

1.

Express
15 2
as the sum of two consecutive integers

(i)

114 + 111
(ii)

110 + 115
(iii)

113 + 114
(iv)

112 + 113
(v)

111 + 112

Question 2

2.

Which of the following is a perfect square?

(i)

576
(ii)

17
(iii)

61
(iv)

1599
(v)

199

Question 3

3.

Find the smallest 5 digit number which is a perfect square?

(i)

9999
(ii)

10000
(iii)

10001
(iv)

10002
(v)

9997

Question 4

4.

Identify the Pythagorean triplet whose one of the numbers is 65

(i)

{17,62,65}
(ii)

{18,64,65}
(iii)

{15,64,65}
(iv)

{16,63,65}
(v)

{14,61,65}

Question 5

5.

The solution of
√

18
lies between

(i)

4.2424 and 4.2425
(ii)

4.2428 and 4.2429
(iii)

4.2425 and 4.2426
(iv)

4.2426 and 4.2427
(v)

4.2427 and 4.2428

Question 6

6.

Find the prime factorization of
640

(i)

2 6

✕

5
(ii)

2 7

✕

5 2
(iii)

(-1) 7

✕

5
(iv)

2 7

✕

5
(v)

2 7

✕

8

Question 7

7.

Find the greatest 2 digit number which is a perfect square?

(i)

81
(ii)

84
(iii)

80
(iv)

82
(v)

78

Question 8

8.

Identify the Pythagorean triplet whose middle number is 24

(i)

{10,24,26}
(ii)

{12,24,26}
(iii)

{11,24,25}
(iv)

{9,24,25}
(v)

{11,24,23}

Question 9

9.

Find the square root of
40.20

(i)

4.34
(ii)

6.34
(iii)

8.34
(iv)

7.34
(v)

5.34

Question 10

10.

Find the smallest perfect square which is divisible by each of the numbers 8,16,10

(i)

1281
(ii)

402
(iii)

400
(iv)

800
(v)

640

Question 11

11.

The smallest number by which 5488 must be divided so that the quotient is a perfect square is?

(i)

8
(ii)

7
(iii)

10
(iv)

6
(v)

5

Question 12

12.

The solution of
√

11
lies between

(i)

3.32 and 3.33
(ii)

3.30 and 3.31
(iii)

3.33 and 3.34
(iv)

3.31 and 3.32
(v)

3.29 and 3.30

Question 13

13.

(i)

9002
(ii)

900
(iii)

90000
(iv)

8998
(v)

9000

Question 14

14.

Find the square root of
7905.7466

(i)

87.9143
(ii)

86.9143
(iii)

90.9143
(iv)

89.9143
(v)

88.9143

Question 15

15.

Which of the following is a Pythagorean triplet?

(i)

{8,17,16}
(ii)

{8,15,17}
(iii)

{8,14,16}
(iv)

{8,13,17}
(v)

{8,16,18}

Question 16

16.

How many digits are there in the square root of 4624?

(i)

1
(ii)

5
(iii)

3
(iv)

0
(v)

2

Question 17

17.

The solution of
√

5
lies between

(i)

2.2 and 2.3
(ii)

2.4 and 2.5
(iii)

2.1 and 2.2
(iv)

2.0 and 2.1
(v)

2.3 and 2.4

Question 18

18.

Find the greatest 3 digit number which is a perfect square?

(i)

964
(ii)

961
(iii)

958
(iv)

960
(v)

962

Question 19

19.

Find the square root of
841.200

(i)

29.003
(ii)

27.003
(iii)

31.003
(iv)

30.003
(v)

28.003

Question 20

20.

Find the least number that must be added to 1080 to get a perfect square?

(i)

11
(ii)

8
(iii)

10
(iv)

7
(v)

9

Question 21

21.

The smallest number by which 512 must be multiplied so that the product is a perfect square is?

(i)

3
(ii)

0
(iii)

1
(iv)

2
(v)

5

Question 22

22.

What is the unit place digit in the square of 9?

(i)

3
(ii)

0
(iii)

1
(iv)

7
(v)

5

Question 23

23.

Which of the following is not a perfect square?

(i)

64
(ii)

1369
(iii)

289
(iv)

25
(v)

33

Question 24

24.

Find the
square root
of
1
16

(i)

1
6
(ii)

(
-1
4
)
(iii)

1
2
(iv)

3
4
(v)

1
4

Question 25

25.

Find the least number that must be subtracted from 495 to get a perfect square?

(i)

11
(ii)

12
(iii)

10
(iv)

13
(v)

9

Assignment Key