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

The cross section of a tunnel perpendicular to its length is a trapezium ABCD as shown in the figure. AM = BN; AB = 4.4 m, CD = 3 m The height of a tunnel is 2.4 m. The tunnel is 5.4 m long. Calculate the cost of painting the internal surface of the tunnel (excluding the floor) at the rate of Rs. 5 per m².

The cross section of a tunnel perpendicular to its length is a trapezium ABCD as shown in the figure. AM = BN; AB = 4.4 m, CD = 3 m The height of a tunnel is 2.4 m. The tunnel is 5.4 m long. Calculate the cost of flooring at the rate of Rs.2. 5 per m².

ABCDE is the end view of a factory shed which is 50 m long. The roofing of the shed consists of asbestos sheets as shown in the figure. The two ends of the shed are completely closed by brick walls.

Calculate the total volume content of the shed.

ABCDE is the end view of a factory shed which is 50 m long. The roofing of the shed consists of asbestos sheets as shown in the figure. The two ends of the shed are completely closed by brick walls.

If the cost of asbestos sheet roofing is Rs. 20 per m², find the cost of roofing.

ABCDE is the end view of a factory shed which is 50 m long. The roofing of the shed consists of asbestos sheets as shown in the figure. The two ends of the shed are completely closed by brick walls.
Find the total surface area (including roofing) of the shed.

The cross section of a swimming pool is a trapezium whose shallow and deep ends are 1 m and 3 m respectively. If the length of the pool is 50 m and its width is 1.5 m, calculate the volume of water it holds.

A hose-pipe of cross section area 3 cm² delivers 1800 liters of water in 10 minutes. Find the speed of water in km/h through the pipe.

The cross section of a canal is a trapezium with the base length of 3 m and the top length of 5 m. It is 2 m deep and 400 m long. Calculate the volume of water it holds.

State the quadrant in which each of the following point lies: A(-4, 3), B(2, -5), C(-5, -3), M(4, 8), P(-1, 9) and Z(4, -5)

Write the lowest rationalising factor of 5√2.

Write the lowest rationalising factor of : √24

Write the lowest rationalising factor of √5 - 3.

Write the lowest rationalising factor of : 7 - √7

Write the lowest rationalising factor of : √18 - √50

Write the lowest rationalising factor of : √5 - √2

Write the lowest rationalising factor of : √13 + 3

Write the lowest rationalising factor of 15 – 3√2.

Write the lowest rationalising factor of : 3√2 + 2√3

Find the values of 'a' and 'b' in each of the following : 
`[2 + sqrt3]/[ 2 - sqrt3 ] = a + bsqrt3`

Find the values of 'a' and 'b' in each of the following:
`( sqrt7 - 2 )/( sqrt7 + 2 ) = asqrt7 + b`