(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

Mr. Sharma borrowed a certain sum of money at 10% per annum compounded annually. If by paying Rs.19,360 at the end of the second year and Rs. 31,944 at the end of the third year he clears the debt; find the sum borrowed by him.

The difference between compound interest for a year payable half-yearly and simple interest on a certain sum of money lent out at 10% for a year is Rs. 15. Find the sum of money lent out.

The ages of Pramod and Rohit are 16 years and 18 years respectively. In what ratio must they invest money at 5% p.a. compounded yearly so that both get the same sum on attaining the age of 25 years?

Factorise : a² + 10a + 24

Factorise : a² - 3a - 40

Factorise : 1 - 2a - 3a²

Factorise : x² - 3ax - 88a²

Factorise:

6a² - a - 15

Factorise : 24a³ + 37a² - 5a

Factorise:

a(3a - 2) - 1

Factorise : a²b² + 8ab - 9

Factorise : 3 - a (4 + 7a)

Factorise:

(2a + b)² - 6a - 3b - 4

Factorise : 1 - 2a - 2b - 3 (a + b)²

Factorise : 3a² - 1 - 2a

Factorise : x² + 3x + 2 + ax + 2a

Factorise : (3x - 2y)² + 3 (3x - 2y) - 10

Factorise: 5 - (3a² - 2a) (6 - 3a² + 2a)

Give possible expressions for the length and the breadth of the rectangle whose area is 12x² - 35x + 25

Factorise : `1/35 + 12/35a + a^2`