ICSE ICSE Class 8 - CISCE Question Bank Solutions

Factorise:  a² - b² - 2b - 1 

factorise:  x² + 6x + 9 - 4y² 

Verify Euler’s formula for the following three-dimensional figures:

Using Euler's formula, find the values of x, y, z.

With what least number must 8640 be divided so that the quotient is a perfect cube?

Which is the smallest number that must be multiplied to 77175 to make it a perfect cube?

factorise : a² - (b - c)² 

Divide Rs. 15,600 into two parts such that the interest on one at 5 percent for 5 years may be equal to that on the other at `4 1/2` percent for 6 years.

factorise : 25(2x - y)² - 16(x - 2y)² 

factorise : 16(5x + 4)² -9(3x - 2)² 

Factorise: `9x^2 - 1/16`

factorise:  25(x - 2y)² - 4 

Find the smallest number by which 26244 may be divided so that the quotient is a perfect cube.

What is the least number by which 30375 should be multiplied to get a perfect cube?

A person invests Rs. 5,000 for two years at a certain rate of interest compounded annually. At the end of one year, this sum amounts to Rs. 5,600. Calculate :
(i) the rate of interest per year.
(ii) the amount at the end of the second year.

Factorise: (a - 3b)² - 36 b²  

Factorise: 25(a - 5b)² - 4(a - 3b)² 

Factorise: 15(2x - y)² - 16(2x - y) - 15  

Factorise a²b − b³. Using this result, find the value of 101² × 100 − 100³.

Evaluate (using factors) : 301² x 300 - 300³.