Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions for Mathematics

Write true (T) or false (F) for the following statement. 

The number of digits in a square number is even. 

Write true (T) or false (F) for the following statement.

 The square of a prime number is prime. 

Write true (T) or false (F) for the following statement. 

 The sum of two square numbers is a square number. 

Write true (T) or false (F) for the following statement.  

The difference of two square numbers is a square number 

Write true (T) or false (F) for the following statement. 

The product of two square numbers is a square number.

Write true (T) or false (F) for the following statement. 

No square number is negative.

Write true (T) or false (F) for the following statement .

There is no square number between 50 and 60.

Write true (T) or false (F) for the following statement. 

There are fourteen square number upto 200.

Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication: 

 25

Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication: 

71 

Given that the number \[\overline{{35\alpha64}}\] is divisible by 3, where α is a digit, what are the possible values of α?

If x is a digit such that the number \[\overline{{18x71}}\] is divisible by 3, find possible values of x.

If x is a digit of the number \[\overline {{66784x}}\] such that it is divisible by 9, find possible values of x.

Given that the number \[\overline{{67y19}}\] is divisible by 9, where y is a digit, what are the possible values of y?

Which of the following statement is true?
If a number is divisible by 3, it must be divisible by 9.

Which of the following statement is true?
If a number is divisible by 9, it must be divisible by 3.

Find the square root of each of the following by prime factorization. 

441 

Find the square root the following by prime factorization. 

 196