ngsfindia.org National Genius Search Main & Advanced Exam Class IX Sample Question Paper
Organisation : National Genius Search Foundation
Exam : NGSE – Main & Advanced Exam
Document Type : Sample Question Papers
Class : IX
Website : http://ngsfindia.org/ngse.php
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NGSE Main Class IX : https://www.pdfquestion.in/uploads/9062-MainIX.pdf
NGSE Advanced Class IX : https://www.pdfquestion.in/uploads/9062-AdvancedIX.pdf
NGSE Main & Advanced Exam Class IX Sample Question Paper :
National Genius Search Examination : Mains :
Class : IX
Time : 90 Minutes
Related : National Genius Search Main & Advanced Exam Class VIII Sample Question Paper : www.pdfquestion.in/9059.html
Section 1 : Mathematics
Important Note :
** Questions from 1 to 45 have one or more options right.
** To score full marks for each question, bubbles for all the right answer options should be shaded.
** Shading one or more wrong bubble/s make the answer wrong.
** No marks are given for partial answers.
01. Wisden was watching the movement of a truck carrying a transparent cylindrical 20 unit long water tank, over a flyover. As the truck moved to the top of the flyover, some water got spilled on the road. He found that the surface of water looks like a rectangle inside the tank and has a perimeter of 56 units. The truck driver told him later, that the diameter of the tank is 10 units. Can you help Wisden to find out the height of water inside the tank, by calculations?
(a) 4
(b) 5
(c) 6
(d) 8
02. Quana was down with fever and she could not attend her geometry class. Back in school, she tried to copy down the class notes from one of her friend. Here is a part of it.
(a) Two distinct points in a plane determine a unique line segment
(b) Two distinct lines in a plane cannot have more than one point in common.
(c) A distinct line is a part of a line segment.
(d) There are infinite number of perpendiculars for a line.
What is / are the incorrect point/s noted by her?
03. Vidya’s teacher wrote the following statements on the board and asked her class to pick up the wrong statement/s.
(a) A square, rectangle and rhombus are parallelograms
(b) A kite is not a parallelogram but all quadrilaterals are parallelograms
(c) A parallelogram is a trapezium but a trapezium is not a parallelogram
(d) A rectangle or a rhombus is not necessarily a square
What is your answer to her question?
04. Vidya’s mother called her for dinner when she was working with a geometry proof. When her mother shouted again, she left for dinner. The unfinished proof on her notebook reads as follows
Given An isosceles triangle ABC with D, E and F as the mid-points of sides BC, CA and AB respectively such that AB = AC. AD intersects FE at O.
Construction Join DE and DF. PROOF since the segment joining the mid-points of two sides of a triangle is parallel to third side and is half of it.
(a) AD- FE and AD is bisected by FE
(b) O is the incenter of triangle ABC
(c) Diagonals AD and FE bisect each other at right angle.
(d) DEAF is a Rhombus
05. A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?
(a) 700
(b) 900
(c) 450
(d) 1200
06. Quana’s class room is 10 m long, 7 m wide and 4 m high. It has one door 3m* 1.4 and three windows, each measuring 2m*1m. The interior walls are to be Painted.The contractor charge Rs. 42 per sq. m. Find the cost of painting.
(a) Rs. 5284
(b) Rs. 28135
(c) Rs. 36216
(d) Rs. 441612
07. Vidya has a hollow bamboo stick of 35 cm long with an inner radius of 12 cm. The thickness of the bamboo stick is 2 cm. Find the volume of the bamboo (wood) in the stick, assuming it is open at either end.
(a) 8312 cm3
(b) 5270 cm3
(c) 5118 cm3
(d) 6114 cm3
08. A cylinder is within the cube touching all the vertical faces. A cone is inside the cylinder. If their heights are same with the same base, find the ratio of their volumes. ( Neglect the thickness of the shapes for calculations)
(a) 42 : 22 : 11
(b) 66 : 33 : 11
(c) 42 : 33 : 11
(d) 120 : 80 : 20
09. Richa’s garden has been designed in the shape of two identical semicircular of radius of 3 m, as shown in the figure. What is the perimeter of the garden?
(a) 18.8m
(b) 21.8m
(c) 24.8m
(d) 28.3m
National Genius Search Examination : Advanced
Section – 1: Mathematics
1. (a) Monica has a piece of canvas whose area is 551 ????. She uses it to have a conical tent made, with a base radius of 7 m. Assuming that all the stitching margins and the wastage incurred while cutting, amounts to approximately 1m find the volume of the tent that can be made with it.
(b) Fifty seeds were selected at random from each of 5 bags of seeds, and were kept under standardized conditions favourable to germination. After 20 day, the number of seeds which had germinated in each collection were counted and recorded as follows
What is the probability of germination of
(i) more than 40 seeds in a bag?
(ii) 49 seeds in a bag?
(iii)more than 35 seeds in a bag?
2. Vidya wonders why numbers one and zero are neither composite numbers nor prime numbers. Could you please explain to Vidya what can happen if they are either composite numbers or prime numbers? Use an example to punch your points
3. Answer the following. Support your answer with explanations.
(a) Are all fractions rational numbers?
(b) Is an improper fraction a rational number?
(c) Why is an irrational number?
(d) What are rational numbers?
4. The teacher asked you to introduce Pythagoras theorem to a lower class where students have no idea about the theorem but are conceptually clear about area and dimensions. Explain, how do you perform the task?
5. Elements is divided into thirteen chapters. It mainly deals with definitions, axioms and postulates in geometry.
(a) Who wrote Elements? What do you mean by an abstract model?
(b) What is known as a definition?
(c) Explain the concept axiom
(d) What are postulates?
(e) What is called a dimension?
Section – 1: Science :
6. What is wrong with the following graphs? Explain why each graph is wrong or right?
7. (a) A motorcar is moving with a velocity of 108 km/h and it takes 4 s to stop after the brakes are applied. Calculate the force exerted by the brakes on the motorcar if its mass along with the passengers is 1000 kg.
(b) Speed is a scalar quantity while Velocity is a vector quantity. Explain the terms scalar quantity and vector quantity. Under what conditions, speed is velocity?
(a) The molecular mass of 98 amu. Calculate the number of moles of each element in 294 g of h2so4.
(c) The valency of hydrogen is 1, magnesium 2, aluminium 3 and carbon 4. can you see any connection between the valency of an element and the number of electrons it has in its outermost electron shell? What would you predict about the valencies of helium (He), phosphorus (P), sulphur (S) and neon (Ne) to be?
8. What is Anthrax? What are the symptoms and the forms of anthrax? How it is controlled and prevented?
9. Explain the Carbon Cycle. How Carbon Credits help save the environment?
10. We hear different kinds of sound. But we love to hear music. What ensures quality and pleasantness of musical sound? Explain briefly in terms of the physics you have learned.