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

Square root of a number x is denoted by `sqrt(x)`.

Cube roots of 8 are +2 and –2.

`root(3)(8 + 27) = root(3)(8) + root(3)(27)`.

There is no cube root of a negative integer.

Express 81 as the sum of first nine consecutive odd numbers.

Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.

Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 0.334125. Find the numbers.

Evaluate:

`root(3)(27) + root(3)(0.008) + root(3)(0.064)`

The perimeters of two squares are 40 and 96 metres respectively. Find the perimeter of another square equal in area to the sum of the first two squares.

If `(5x)/3 - 4 = (2x)/5`, then the numerical value of 2x – 7 is ______.

The value of x for which the expressions 3x – 4 and 2x + 1 become equal is ______.

`(-4)/3 y = - 3/4`, then y = ______.

A quadrilateral has two diagonals.

A quadrilateral can be drawn if three sides and two diagonals are given.

Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm, DA = 5.9 cm and diagonal AC = 8 cm? If not, why?

is the ______ view of

For the following solid, identify the front, side and top views and write them in the space provided.

The top view of

Draw the front, side and top view of the given shape.

Draw the front, side and top view of the given shape.