EduSahara™ Worksheet

Question 1

1.

Find the greatest 4 digit number which is a perfect square?

(i)

9803
(ii)

9802
(iii)

9800
(iv)

9801
(v)

9799

Question 2

2.

Express
23 2
as the sum of two consecutive integers

(i)

266 + 263
(ii)

264 + 265
(iii)

262 + 267
(iv)

265 + 266
(v)

263 + 264

Question 3

3.

Find the
cube root
of
1
8

(i)

1
(ii)

1
2
(iii)

1
4
(iv)

(
-1
2
)
(v)

3
2

Question 4

4.

Which of the following is not a perfect square?

(i)

841
(ii)

2209
(iii)

1444
(iv)

121
(v)

254

Question 5

5.

Find the prime factorization of
52

(i)

2 2

✕

11
(ii)

4 2

✕

13
(iii)

2

✕

13
(iv)

2 2

✕

13
(v)

2 3

✕

13

Question 6

6.

How many digits are there in the square root of 8836?

(i)

5
(ii)

(-1)
(iii)

3
(iv)

2
(v)

1

Question 7

7.

Find the number of numbers between
4 2
and
5 2

(i)

9
(ii)

7
(iii)

11
(iv)

5
(v)

8

Question 8

8.

Find the prime factorization of
8712

(i)

2 3

✕

3 2

✕

8 2
(ii)

2 3

✕

3 2

✕

11 2
(iii)

2 3

✕

3 3

✕

11 2
(iv)

5 3

✕

3 2

✕

11 2
(v)

2 3

✕

3 2

✕

11

Question 9

9.

The solution of
√

17
lies between

(i)

2 and 3
(ii)

3 and 4
(iii)

4 and 5
(iv)

5 and 6
(v)

6 and 7

Question 10

10.

Find the smallest perfect square which is divisible by each of the numbers 10,6,12

(i)

902
(ii)

900
(iii)

1800
(iv)

361
(v)

600

Question 11

11.

Which of the following is not a perfect cube?

(i)

216
(ii)

1000
(iii)

512
(iv)

8
(v)

30

Question 12

12.

(i)

8.1
(ii)

0.81
(iii)

2.81
(iv)

0.08
(v)

8.81

Question 13

13.

Which of the following is a perfect cube?

(i)

213
(ii)

10
(iii)

730
(iv)

342
(v)

1000

Question 14

14.

The smallest number by which 432 must be divided so that the quotient is a perfect cube is?

(i)

4
(ii)

1
(iii)

3
(iv)

0
(v)

2

Question 15

15.

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

(i)

961
(ii)

960
(iii)

962
(iv)

963
(v)

958

Question 16

16.

Find the
square root
of
9
4

(i)

5
4
(ii)

5
2
(iii)

3
2
(iv)

2
(v)

1
2

Question 17

17.

(i)

85
(ii)

10.5
(iii)

8.5
(iv)

0.8
(v)

6.5

Question 18

18.

Which of the following is a perfect square?

(i)

2208
(ii)

1601
(iii)

196
(iv)

2404
(v)

1761

Question 19

19.

Find the square root of
276.400

(i)

15.625
(ii)

16.625
(iii)

14.625
(iv)

18.625
(v)

17.625

Question 20

20.

If a number has 3 zeros at the end, its square has how many zeros?

(i)

6
(ii)

5
(iii)

4
(iv)

9
(v)

7

Question 21

21.

Find the value of
22 3
−
21 3

(i)

1385
(ii)

1390
(iii)

1388
(iv)

1386
(v)

1387

Question 22

22.

Find the prime factorization of
32

(i)

2 6
(ii)

5 5
(iii)

2 3
(iv)

2 4
(v)

2 5

Question 23

23.

Find the least number that must be subtracted from 123 to get a perfect square?

(i)

2
(ii)

0
(iii)

5
(iv)

1
(v)

3

Question 24

24.

Find the least number that must be added to 703 to get a perfect square?

(i)

27
(ii)

24
(iii)

26
(iv)

25
(v)

29

Question 25

25.

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

(i)

103
(ii)

99
(iii)

100
(iv)

97
(v)

101

Assignment Key