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

A lawn is in the shape of a semicircle of diameter 42m. the lawn is surrounded by a flower bed of width 7m all round. Find the area of the flower bed in m².

A square is inscribed in a circle of radius 6 cm. Find the area of the square. Give your answer correct to two decimal places if `sqrt(2)` = 1.414.

Find the area enclosed between two concentric circles of radii 6.3cm and 8.4cm. A third concentric circle is drawn outside the 8.4cm circle. So that the area enclosed between it and the 8.4cm circle is the same as that between the two inner circles. Find the radii of the third circle correct to two decimal places.

Find the area of the biggest circle that can be cut from a rectangular piece 44cm by 28cm. also, find the area of the paper left after cutting out the circle.

A metal cube of side 4 cm is immersed in a water tank. The length and breadth of the tank are 8 cm and 4 cm respectively. Find the rise in level of the water.

A metal piece 6 cm long, 5 cm broad and x cm , high is dropped in a glass box containing water. The dimensions of the base of the glass box are 18 cm by 8 cm and the rise in water level is 0.5 cm. Find x.

A rectangular container has base with dimensions 6 cm x 9 cm. A cube of edge 3 cm is placed in the container and then sufficient water is filled into it so that the cube is just submerged. Find the fall in the level of the water in the container, when the cube is removed.

From a tap of inner radius 0.80 cm, water flows at the rate of 7 m/s. Find the volume in litres of water delivered by the pipe in 75 minutes.

A cylindrical water tank has a diameter 4 m and is 6 m high. Water is flowing into it from a cylindrical pipe of diameter 4 cm at the rate of 10 m/s. In how much time the tank will be filled?

Water flows at the rate of 1.5 meters per second through a pipe with area of cross section 2.5 cm2 into a rectangular water tank of length 90 cm and breadth 50 cm. Find the rise in water level in the tank after 4 minutes.

Rain falls on a rectangular roof 28 m by 9 m and the water flows into a tank of dimensions 90 m by 70 cm by 84 cm. How much rainfall will fill the tank completely?

The area of cross section of a pipe is 5.4 square cm and water is pumped out of it at the rate of 27 km per hour. Find, in litres, the volume of water which flows out of the pipe in 2 minutes.

A rectangular water tank measuring 8mx6mx 4 cm is filled from a pipe of cross sectional area 1.5 cm², the water emerging at 10 m/s. How long does it take to fill the tank?

How many liters of water will flow out of a pipe having a cross sectional area 6 cm² in one hour, if the speed of water in the pipe is 30 cm/sec?

State the axis on which the following points lie: J(0, -7), M(5, 0), P(-4, 0), R(0, 6) and W(2, 0)

Plot the points O (0, 0), P (6, 0) and R (0, 5) on a graph. Find the coordinates of the point Q such that OPQR is a rectangle.

Plot the points A (3, 4) and C (-3, -2) on a graph. Find the coordinates of the point B and D such ABCD is a square. Also find the area of the square.

Plot the points (-2, 3), (3, 3), (5, -2) and (-5, -2) on a graph and join them in order. Name the figure you get.

Rationalise the denominators of : `3/sqrt5`

Rationalise the denominators of : `(2sqrt3)/sqrt5`