Page 1 - Worksheet

SAI International School
Class VIII

Mathematics

Chapter 6-Square and Square roots
Worksheet
Subtopic: Square roots by long division

1) The LEAST number which must be subtracted from 2509 to make it a perfect square is

a) 6. b)9. c)12 d)14

2) What is the square root of 128164?

A)358 B)342 C)132 D)118

3) Which of the following is a perfect square?
6
2
4
5
4
2
7
4
3
2
2
A) 2 × 7 B)2 × 3 × 4 C)2 × 5 × 7 D)2 × 5 × 11

4) Find the number of digits in the square root of each of the following numbers (without
any calculation).
(i) 4489 (ii) 27225 (iii) 390625

5) Write the smallest no to be added to 3240 to make it a perfect square.

6) Find the least number which must be subtracted from 8105 to make it a perfect square.

7)Find the least number which must be subtracted from 7060 to obtain a perfect square.

8)Find the least number which must be added to 306455 to obtain a perfect square.

9)Find the least number which must be added to 8400 to obtain a perfect square. Find this
perfect square and its square root