PROPERTIES OF PERFECT SQUARE WORKSHEET

Problem 1 :

The difference between the squares of two consecutive number is equal to their

(a) difference    (b) sum     (c) product    (d) quotient

Solution

Problem 2 :

What will be the digit in the thousands place of (1111)² ?

(i) 3    (ii) 4    (iii) 2    (iv) 1

Solution

Problem 3 :

Perfect squares cannot have 2, 3, __ and __ in its ones place.

(i) 1, 7     (ii) 5, 6     (iii) 7, 8     (iv) 7, 9

Solution

Problem 4 :

The smallest number by which 72 must be divided to make it a perfect square is—

(i) 4    (ii) 5    (iii) 3    (iv) 2

Solution

Problem 5 :

The square root of 3.052009 has ____ decimal places.

(i) 3    (ii) 4    (iii) 5     (iv) 1

Solution

Problem 6 :

How many non–square numbers are there between 13² and 14² ?

Solution

Problem 7 :

Write the first four triangular numbers.

Solution

Problem 8 :

Is 5, 7, 9 a Pythagorean triplets? Why? Justify.

Solution

Problem 9 :

Find √9 by repeated subtraction method.

Solution

Problem 10 :

Find the measure of the side of a square handkerchief of area 324 cm²

Solution

Problem 11 :

Which of the following is the square of an odd number?

(a) 256     (b) 361     (c) 144     (d) 400

Solution

Problem 12 :

Which of the following will have 1 at its units place?

(a) 19²     (b) 17²    (c) 18²    (d) 16²

Solution

Problem 13 :

How many natural numbers lie between 18² and 19²?

(a) 30     (b) 37     (c) 35    (d) 36

Solution