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

The medians QM and RN of ΔPQR intersect at O. Prove that: area of ΔROQ = area of quadrilateral PMON.

A class room is 7m long, 6m wide and 4m high. It has two doors each of 3m x 1.4m and six windows each of 2m x 1m. The interior walls are to be coloured at the rate of Rs.15per m². Find the cost of colouring the walls.

The cost of papering the four walls of a room at Rs 1 per m² is Rs. 210. The height of the room is 5 m. Find the length and the breadth of the room if they are in the ratio 5:2.

The area of a playground is 4800m². Find the cost of covering it with gravel 2.5cm deep, if the gravel costs Rs.7.25 per m³.

How many cubic meters of earth must be dug out to sink a well 42m deep and 14m in diameter? Find the cost of plastering the inside walls of the well at Rs.15per m².

Simplify : `root(5)(16) xx root(5)(2)`

Simplify : `root(4)(243)/root(4)(3)`

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.