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:

392 is a perfect cube.

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

8640 is not a perfect cube.

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

 No cube can end with exactly two zeros.

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

There is no perfect cube which ends in 4.

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

 For an integer a, a³ is always greater than a².

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

If a and b are integers such that a² > b², then a³ > b³.

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

 If a divides b, then a³ divides b³.

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

 If a² ends in 9, then a³ ends in 7.

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

 If a² ends in 5, then a³ ends in 25.

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

 If a² ends in an even number of zeros, then a³ ends in an odd number of zeros.

Which of the following number is cube of negative integer - 64 .

Which of the following number is cube of negative integer - 1056 .

Which of the following number is cube of negative integer - 2197.

Which of the following number is cube of negative integer - 2744 .

Which of the following number is cube of negative integer - 42875 .

Show that the following integer is cube of negative integer. Also, find the integer whose cube is the given integer −5832 .

Show that the following integer is cube of negative integer. Also, find the integer whose cube is the given integer −2744000 .

Find the smallest number that must be subtracted from those of the numbers in question 2 which are not perfect cubes, to make them perfect cubes. What are the corresponding cube roots?

Factorize the following:
3x − 9

Factorize the following:
5x − 15x²