169 is the square of

1

(a)

11

(b)

12

(c)

13

(d)

14

If one member of a Pythagorean triplet is 2m, then other two members are

1

(a)

m, m² + 1

(b)

m² + 1, m² - 1

(c)

m², m² - 1

(d)

m² , m+1

If \(\sqrt { 4096 } =64\), then the value of \(\sqrt { 4096 } +\sqrt { 40.96 } \) is

1

(a)

70.4

(b)

64.4

(c)

60.4

(d)

68.4

A perfect square number having m digits, where m is even will have square root with

1

(a)

\(\frac { m }{ 2 } digits\)

(b)

\(\frac { m+1 }{ 2 } digits\)

(c)

m + 1 digits

(d)

\(\frac { m }{ 3 } digits\)

Which of the following is the number of non-perfect square numbers between the squares of the numbers nand n + 1?

1

(a)

n + 1

(b)

n

(c)

2n

(d)

2n+1

Which of the following is the difference between the squares of two consecutive natural numbers is?

1

(a)

sum of the two numbers

(b)

difference of the numbers

(c)

twice the sum of the two numbers

(d)

twice the difference between the two numbers.

Which of the following is the number of non-perfect square number between 17²and 18²?

1

(a)

613

(b)

35

(c)

34

(d)

70

Which of the following is the difference between the squares of 21 and 22?

1

(a)

21

(b)

22

(c)

42

(d)

43

Which of the following is the number of zeros in the square of 900?

1

(a)

3

(b)

4

(c)

5

(d)

2

The perfect square number out of 2, 3, 4 and 5 is

1

(a)

2

(b)

3

(c)

4

(d)

5

The digit at the one's place of 59² is _____________

1

(a)

1

The least number by which 125 be multiplied to make it a perfect square is ____________

1

(a)

5

1 + 3 + 5 + 7 + 9 + ______ = 5²

1

(a)

11

1 + 3 + 5 + 7 + 9 + ______ = 6²

1

(a)

11+13

11²=_____+_____

1

(a)

60 + 61

Can a number ending 1 or 9 be always a square number?

2

(a)

No

Find the square of:
35

2

(a)

1225

Using prime factorisation, find the square root of:
81

2

(a)

9

Can you find the square of the following number 66666667²

2

(a)

4444444488888889

A decimal number is multiplied by itself. If the product is 51.84, then find the number.

2

(a)

How many numbers lie between squares of:
27 and 28

3

(a)

Observe the following pattern and supply the missing numbers.
11² = 121
101² = 10201
10101² =102030201
1010101² =.................................
............. ² = 10203040504030201

3

(a)

For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained.396

3

(a)

In a right triangle ABC, \(\angle\)B = 90°. If AB = 12 cm, BC = 5 cm, then find AC.

3

(a)

Leela invited some friends for tea on her birthday. Her mother placed some plates and some puris on a table to be served. If Leela places 4 puris in each plate 1 plate would be left empty. But if she places 3 puris in each plate 1puri would be left. Find the number of plates and number of puris on the table.

3

(a)

1. Find the least number that must be added to 1500. so as to get a perfect square. Also, find the square root of the perfect square.

   5

   (a)

2. Complete the following crossword puzzle using the given direction.
   
   Direction:
   Across:
   (1) The product of number by itself two times, is called its _______
   (2) If three numbers a, band c are such that a² + b²= c² then they are called _____ Triplets.
   (3) A number is a when it is a product of the same two numbers.
   Down: (4) The numbers 2n, n²-1 and n² + 1 where n is a natural number show Pythagorean______.
   (5) Finding is the inverse operation of squaring a number.
   (6) A number which divides a _______ given number exactly is called a or divisor of that number.

   5

   (a)