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

State, with reason, of the following is surd or not : √180

State, with reason, of the following is surd or not:

`root(4)(27)`

State, with reason, of the following is surd or not : 
`root(5)(128)`

State, with reason, of the following is surd or not : 
`root(3)(64)`

State, with reason, of the following is surd or not : 
`root(3)(25). root(3)(40)`

State, with reason, of the following is surd or not : 
`root(3)( -125 )`

State, with reason, of the following is surd or not: √π

State, with reason, of the following is surd or not : 
`sqrt( 3 + sqrt2 )`

Simple interest on a sum of money for 2 years at 4% is Rs. 450. Find compound interest on the same sum and at the same rate for 1 year, if the interest is reckoned half yearly.

Find the compound interest to the nearest rupee on Rs. 10,800 for `2 1/2` years at 10% per annum.

The value of a machine, purchased two years ago, depreciates at the annual rate of 10%. If its present value is Rs.97,200, find:

1.   Its value after 2 years.
2.   Its value when it was purchased.

Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively. Rajesh received Rs. 64 more than Anuj. Find the money lent by each and interest received.

Calculate the sum of money on which the compound interest (payable annually) for 2 years be four times the simple interest on Rs. 4,715 for 5 years, both at the rate of 5% per annum.

A sum of money was invested for 3 years, interest being compounded annually. The rates for successive years were 10%, 15% and 18% respectively. If the compound interest for the second year amounted to Rs. 4,950, find the sum invested.

A sum of money is invested at 10% per annum compounded half yearly. If the difference of amounts at the end of 6 months and 12 months is Rs.189, find the sum of money invested.

Rohit borrows Rs. 86,000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period. Calculate Rohit's profit in the transaction at the end of two years.

The simple interest on a certain sum of money for 3 years at 5% per annum is Rs.1,200. Find the amount and the compound interest due on this sum of money at the same rate and after 2 years. Interest is reckoned annually.

Nikita invests Rs.6,000 for two years at a certain rate of interest compounded annually. At the end of first year it amounts to Rs.6,720. Calculate:
(a) The rate of interest.
(b) The amount at the end of the second year.

Factorise : 25a² - 9b²

Factorise : a² - (2a + 3b)²