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

Find the probabilities of the events given in Question 2.

The population of a place increased to 54000 in 2003 at a rate of 5% per annum Find the population in 2001.

The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. what would be its population in 2005?

In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.

A scooter was bought at Rs 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.

Simplify.

(x² − 5) (x + 5) + 25

Simplify.

(a² + 5) (b³ + 3) + 5

Simplify.

(t + s²) (t² − s)

Simplify.

(a + b) (c − d) + (a − b) (c + d) + 2 (ac + bd)

Simplify. 

(x + y) (2x + y) + (x + 2y) (x − y)

Simplify.

(x + y) (x² − xy + y²)

Simplify.

(1.5x − 4y) (1.5x + 4y + 3) − 4.5x + 12y

Simplify.

(a + b + c) (a + b − c)

Write the following square of binomial as trinomial: (x + 2)²

Write the following square of binomial as trinomial:  (8a + 3b)²

Write the following square of binomial as trinomial:  (2m + 1)²

Write the following square of binomial as trinomial:  \[\left( 9a + \frac{1}{6} \right)^2\]

Write the following square of binomial as trinomial: 

\[\left( x + \frac{x^2}{2} \right)^2\]

Write the following square of binomial as trinomial:  \[\left( \frac{x}{4} - \frac{y}{3} \right)\]

Write the following square of binomial as trinomial:  \[\left( 3x - \frac{1}{3x} \right)^2\]