List of top Mathematics Questions asked in NATA

How many diagonals does a 63-sided convex polygon have?

What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?

A hollow iron pipe is 20 cm long and its external diameter is 10 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then what is the weight of the pipe?
(Answer to be provided in kg to the third decimal).

The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

40 men took a dip in a water tank 50 m long and 20 m broad on a religious day. If the average displacement of water by a man is 5 m3, what will the rise in the water level in the tank be?
(Answer to be provided in cm)

A card board sheet is of rectangular shape with dimensions 50cm×30cm. From each of its corners, a square is cut off so as to make an open box. If the side of the square is 10 cm, then what is the volume of the box?
(Answer to be provided in cm³)

If a straight line is used to connect V 3, what will be the angle formed between the lines V3 and V1?

The figure below shows an unfolded pattern of a die. If four such identical dice are stacked one on top of another, as shown on the right, what is the sum of the numbers appearing on the faces which are parallel to the ground ?

When the digits within the number are multiplied with each other, the product of which of the following numbers is the lowest ?
435, 224, 823, 902

Find the angle of "X" from the figure given below.

For the given tile pattern calculate the area shaded in BLUE colour if one of the length of the tile is 10 cm.

Find out the wrong number in the series.
2880, 480, 92, 24, 8, 4, 4

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child ?

A motorboat whose speed is 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. What is the speed of the stream (in km/hr) ?

A speed of 50 km per hour is the same as ________ metres/ second.

What is the length of the bridge (in m), which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds ?

A wire is in the form of a circle of radius 38cm. If it is bent into a square what will be the area of the square (in cm²) ?

Some bricks are arranged in a pile with volume 30 cu m. If the length, breadth and height of each brick is 25 cm, 12.5 cm and 8 cm respectively, then in that pile the number of bricks are (Assume there is no gap in between two bricks)

In an election, a candidate who gets 84 % of the votes is elected by a majority of 476 votes. What is the total number of votes polled ?

A man having height 1.68 m is standing near a pole. He casts a shadow 140 cm long. What is the length of the pole (in cm) if it gives a shadow 420 cm long ?

Find the area of the Square given below, which is made up of 5 different rectangles all of equal areas. One of the sides of the rectangle is given as

All the rectangles are of equal area In the given figure a cube is inserted within a hemisphere such that the top four corners of the cube touch the inner surface of the hemisphere. Find the length of the green line which connects between the top center and bottom corner of the cube, if the radius of the hemisphere is 10cm.

What is the percentage increase in the area of a rectangle, if each of its sides is increased by 20% ?

What four letter word can be written forward, backward or upside down and can still be read from left to right ? Provide the answer in capital letters.

A large newspaper is created using 100 sheets of paper folded in half. The pages are numbered from 1 to 400. A sheet is pulled out of the newspaper. If one of the page numbers on this sheet is 178, can you find out the numbers on the other three pages on this sheet of paper ?
(Marks will be awarded only if all 3 answers are right)