# Square And Square roots Class 8 Important questions worksheet

In this page we have square and square roots class 8 worksheet. This worksheet contains all the format of questions like Multiple choice question,Long answer type questions, Fill in the blanks ,True and False. Hope you like them and do not forget to like , social share and comment at the end of the page.

Question 1
Find the square root of each of the following numbers by using the method of prime factorization:
(a) 121
(b) 441
(c) 625
(d) 729
(e) 1521
(f) 2025
(g) 4096
(h) 5776
(i) 8100
(j) 9216
(k) 11236
(l) 15876
(m) 18496

Question 2
Find the smallest number by which following number must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained.
1. 1008
2. 1280
3. 1875

Question 3.
676 students are to be sit in a hall  in such a way that each row contains as many students  as the number of rows. Find the number of rows and the number of students in each row.

Question 4.
What could be the possible ‘one’s’ digits of the square root of each of the following numbers?
(i) 1801
(ii) 856
(iii) 1008001
(iv) 6577525

Question 5.
The students of a class arranged a gift for the class teacher. Each student contributed as many rupees as the number of students in the class. If the total contribution is Rs 1521, find the strength of the class.

Question 6.
Find the least number which when added to 4529 to make it a perfect square?

Question 7.
Find the least number which must be subtracted from 2361 to make it a perfect square?

Question 8
Find the smallest number by which following number must be divided to get a perfect square. Also, find the square root of the perfect square so obtained.
(i)600
(ii)2904

Question 9
Find the value of
$\sqrt {176 + \sqrt {2401}}$

Question 10
Find the square root
(i).0151129
(ii) 83.3569

## Fill in the blanks

Question 11
(i)There are _________ perfect squares between 1 and 100
(ii) The square of a proper fraction is ______ than to the fraction
(iii) The square of a even number is _____
(iv) $\sqrt{4096}$ is ____
(v) The digit at the ones place of $37^2$ is ____
(vi) the least number that must be added to 1500 so as to get a perfect square is ___

## True and False

Question 12
(i)The square root of 0.64 is 0.8.
(ii) There is no square number between 70 and 80.
(iii)6292 is not a perfect square
(iv) 1000 is a perfect square.
(v) The product of two perfect squares is a perfect square
(vi)The number of digits in a perfect square is even

## Multiple Choice questions

Question 13
Which of the following is not a perfect square number?
(a) 1156
(b) 4657
(c)4624
(d) 7056
Question 14
A perfect square can never have the following digit in its ones place
(a) 8
(b) 4
(b) 0
(d) 1
Question 15
The sum of first n odd natural numbers is
(a)$n^2$
(b) $2n$
(c) $n^2 +1$
(d) $n^2 -1$
Question 16
$\sqrt {.9}$ is
(a).3
(b) .03
(c).94
(d).33
Question 17
The area of the square field is 234.09 m2. The perimeter of the field id
(a)65.2 m
(b)59.6 m
(c)51.2 m
(d)61.2 m
Question 18
The value of x in $\sqrt {1 + \frac {25}{144}} = 1 + \frac {x}{12}$ is
(a)2
(b) 1
(c) 4
(d) 5
Question 19
Given that $\sqrt {5625} =75$, the value of $\sqrt {0.5625} + \sqrt {56.25}$ is:
(a) 82.5
(b) 0.75
(c) 8.25
(d) 75.05
Question 20
Which of the following is a pythogorean triplet?
(a) 2,3,4
(b) 6,8,10
(c) 5,7,9
(d) none of these

Question 21

## Summary

This square and square roots class 8 worksheet is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feedback on the mail. You can download this also using the below link