Page 35 - Concepts of Reasoning-8

Worksheet-3.6

Miscellaneous

1. State whether the following are true or false :
a. The ones digit in the square of the number 1245144 is 4.

b. Taking a square root is the inverse process of squaring.
c. There are two square roots for any given natural number-one is positive and another
is negative.
d. In the square root of the decimal numbers, the decimal point should be placed
exactly after the same number of digits as it is in the decimal number.
e. The square root of product of the numbers is equal to the product of the square root
of those numbers.

2. Match the following numbers with their square roots :

a. 441 i. 4.4
b. 1369 ii. 7.21
c. 19.36 iii. 37
d. 52 iv. 21

e. 841 v. 29

3. Find the squares of the following numbers by shortcut method. One is done for you :
2
2
2
23 = 529 a. 83 b. 65
a 2 2ab b 2 a 2 2ab b 2 a 2 2ab b 2
= _____ = _____
4 12 9
+1
5 2 9

4. Estimate the square roots of the following numbers :
a. 200 b. 915 c. 750

d. 1450 e. 1850
5. Find the least number that is to be subtracted from each of the following to make them perfect
squares :
a. 1370 b. 1767 c. 2120
d. 1690 e. 2030

6. Find the least number that is to be multiplied or divided to make the following as perfect squares :
a. 448 b. 2048 c. 6912
d. 8712 e. 35152

7. Anirudh has a square quilt of area 4096 sq. cm. What is the length of the side of the quilt in metres?

35 Reasoning - 8