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

Multiply the monomial by the binomial and find the value for x = −1, y = 0.25 and z = 0.05:

xz(x² + y²)

Find the product of the following binomial: (2x + y)(2x + y)

Find the product of the following binomial:  (a + 2b)(a − 2b)

Find the product of the following binomial:  (a² + bc)(a² − bc)

Find the product of the following binomial: \[\left( \frac{4x}{5} - \frac{3y}{4} \right)\left( \frac{4x}{5} + \frac{3y}{4} \right)\]

Find the product of the following binomial: \[\left( 2x + \frac{3}{y} \right)\left( 2x - \frac{3}{y} \right)\]

Find the product of the following binomial: (2a³ + b³)(2a³ − b³)

Find the product of the following binomial: \[\left( x^4 + \frac{2}{x^2} \right)\left( x^4 - \frac{2}{x^2} \right)\]

Find the product of the following binomial: \[\left( x^3 + \frac{1}{x^3} \right)\left( x^3 - \frac{1}{x^3} \right)\]

Using the formula for squaring a binomial, evaluate the following:  (102)²

Using the formula for squaring a binomial, evaluate the following: (99)²

Using the formula for squaring a binomial, evaluate the following:  (1001)²

Using the formula for squaring a binomial, evaluate the following:  (999)²

Using the formula for squaring a binomial, evaluate the following:  (703)²

Find the compound interest on Rs 1000 at the rate of 8% per annum for \[1\frac{1}{2}\] years when interest is compounded half-yearly.

Swati took a loan of Rs 16000 against her insurance policy at the rate of \[12\frac{1}{2} %\] per annum. Calculate the total compound interest payable by Swati after 3 years.

Roma borrowed Rs 64000 from a bank for \[1\frac{1}{2}\] years at the rate of 10% per annum. Compute the total compound interest payable by Roma after \[1\frac{1}{2}\]  years, if the interest is compounded half-yearly.