List of practice Questions

Find the diameter of the circle if the circumference of the circle is \(\frac{11}{5}\) m. 
(Answer has to be provided in cm. Any other format will not be accepted for marking) 

A well of depth 20 m with a radius 4 m is dug from the earth to form a platform of length 25 m and a breadth of 12 m. Find the height of the platform.

An organ pipe closed at one end has a fundamental frequency of 1500Hz. What is the maximum number of overtones generated by this pipe, which a normal person can hear?

At resonance air column of length 20cm resonate with a tuning fork of frequency 450 Hz. ignoring end correction, the velocity of sound in air is? (Answer to be given in m/s)

Standing waves are produced in 10m long stretched string. If the string vibrates in 5 segments and wave velocity is 20m/s, its frequency is? (Answer to be given in Hz)

Triangle ABC has angles A = 60° and B = 70°. The in-center of this triangle is at I. Find angle BIC. (Provide answer in degrees)

A glass of cylindrical shape has radius of 3.5cm and height equal to 8cm. A water jug has a volume equal to 1540cm³. How many times the water has to be poured from glass to fill the jug completely? (Take π = \(\frac{22}{7}\)) 

Find the number of angles in the following figure. 40° 20° 30°

Solve the given puzzle:

Look at this series: What number should come next?
5.2, 4.8, 4.4, 4, ?

A regular octahedron has 12 edges, how many vertices does it have?

The sum of the measures of the angles of regular polygon is 2160°. How many sides does the polygon have?

Find the area of a square, one of whose diagonals is 9.2 m long. (Provide answer up to the second decimal in sq m)

How many elephants can you spot in the image given below:

A small village, having a population of 5,000 requires 75 litres of water per head per day. The village has got an overhead tank of measurement 40 m x 25m x 15 m. For how many days will the water in the tank last?

Seven cubes of same volume having side 5 cm are joined end to end. Find the Surface area of the resulting cuboid. (Answer to be provided in cm²).

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be not green?

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

The difference between two positive numbers is 5 and the sum of their squares is 73. Find the product of these numbers.

Carefully observe the given image set made of numbers.
You can view the image for 45 seconds after which it will disappear. You will then answer two questions based on the image.
Caution: The image once viewed cannot be viewed again.

What number is repeated in the given number set?

NAT A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. How many cubes have one red painted face?

The average of 15 numbers is 18. The average of first 8 is 19 and the last 8 is 17, then what is the \(8^{th}\) number?

If (2,0) is a solution of linear equation 2x+3y=k, then what is the value of k?

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, then what is the distance between the two ships?(Answer to be provided in meters)

A tank is 25 m long, 12 m wide and 6 m deep. What is the cost of plastering its walls and bottom if the cost per square meter is Rs 75 per sq. m? (Answer to be provided in Rupees)