NSTSE Sample Paper Class 9

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Class : 9 Mathematics
1. In the given figure PQRS is a parallelogram. Find the
coordinates of R.
Y
S(2, 3) R

X
O P(1, 0) Q(5, 0)

(A) (5, 2) (B) (5, 3) (C) (6, 2) (D) (6, 3)
2. The perpendicular distance of a point from the x-
axis is 2 units and its perpendicular distance from
the y-axis is 3 units. Find the co-ordinates of the
point if it lies in the III Quadrant.
(A) (–3, –2) (B) (–2, –3)
(C) (3, –2) (D) (–3, 2)
3. ABCD is a parallelogram as shown in the figure. If
AB = 2AD and P is the mid-point of AB, find the
measure of  CPD.
D C

A P B

(A) 90° (B) 60° (C) 45° (D) 135°

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2 2
x 3 x 3
4. If 5 + 2 6 + 5 2 6 = 10, find x.

(A) 2, –2 (B) 2, 2
(C) 2, 2 (D) 2, 2, 2, 2
5. In the given figure, D is the mid-point of BC and L is the
mid-point of AD. If ar (  ABL) = x ar (  ABC), what is
the value of x ?

A

L

C D B

1 1
(A) 2 (B) (C) (D) 4
2 4

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Class : 9 Physics

6. The length of a minute hand of a clock is 4 cm. Find
the displacement and the average velocity of the tip
of the minute hand when it moves from 3.15 p.m.
to 3.30 p.m.

2 4
(A) 4 2 cm, cm s-1 (B) 4 2 cm, cm
225 225
1 2
(C) 2 4 cm, cm s-1 (D) 4 2 cm, cm s-1
225 225
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7. The gravitational force on the Moon is that of the
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gravitational force on the Earth. Which of the options
listed below about the mass and weight of a 600 g
object on the Moon are both true ? (Assume 100 g
= 1 N on the Earth).
Mass on Moon Weight on Moon
(A) 100 g 1N
(B) 100 g 6N
(C) 600 g 1N
(D) 600 g 6N
8. A series of compressions and rare fractions of a sound
wave shown below is 12 m. What is the wavelength
of the wave ?

12 m

(A) 3 m (B) 4 m (C) 9 m (D) 12 m

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9. Two trains P and Q, 125 m and 100 m long are moving
in opposite directions on parallel tracks. The velocity
of the train Q is three times that of the train P. The
trains take 4 s to pass each other, calculate the
velocity of each train ?
(a) 14.1 m/s, 42.3 m/s (b) 15.8 m/s, 39.7 m/s
(c) 17.5 m/s, 48.6 m/s (c) 19.2 m/s, 51.9 m/s
10. When a car is accelerating on a level road, what are
the changes to its kinetic energy, heat produced and
chemical potential energy ?
(A) Increase, increase, decrease
(B) Increase, decrease, increase
(C) Increase, increase, increase
(D) Decrease, increase increase

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Class : 9 Chemistry
11. Which one best explains why moist air causes a cold
window to mist up ?
Changes of state Name of process
(A) Vapour to liquid Condensation
(B) Liquid to vapour Evaporation
(C) Vapour to solid Freezing
(D) Liquid to solid Freezing
12. A molecule that contains two atoms is diatomic. If the
molecule contains three atoms, it is triatomic and so
on. Which one in the table is correct for all the three
molecules ?
Diatomic Triatomic Tetratomic
(A) Cl2 NO2 CH4
(B) H2 N2O NH3
(C) N2 NCl3 PH3
(D) CO CoO PCl3
13 Which model of the atom representing the
arrangement of the sub-atomic particles is incorrect?

Key p = Proton, n = Neutron, e = Electron
e e
n
pp p
(A) nn n (B)
e

e
e
p n
n n
(C) p (D)
e

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14. How is Brownian motion caused ?
(A) Through temperature fluctuations within the liquid
phase
(B) Through attraction and repulsion between the
charges on the colloidal particles
(C) Through collision of molecules between the colloidal
particles
(D) Through pressure variations within the liquid phase
15. Which of the following mixtures will be the most
difficult to separate ?
(A) Iron filings (powder) + sand
(B) Sand + water
(C) Sawdust + stones
(D) Nitrogen + oxygen

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Class : 9 Biology
16. Identify P in the given concept map.

P Energy Conversion

is round oval
Pigments
or disc shaped

(A) Cell membrane (B) Mitochondria
(C) Chloroplast (D) Nucleus
17. Which of the following characteristics are applicable
to cockroach ?

(i) Bilaterally symmetrical and segmented body
(ii) Unjointed body and legs
(iii) Open circulatory system
(iv) Three pairs of wings and two pairs of legs

(A) Only (i) and (ii) (B) Only (ii) and (iii)
(C) Only (i) and (iii) (D) Only (ii) and (iv)
18. The table given below shows a list of organisms and its
method of reproduction. What do P, Q and R represent ?

Organism Method of reproduction
Amoeba P
Hydra Q
Mucor R
(A) P-Sporulation, Q-Budding, R-Fission
(B) P-Regeneration, Q-Sporulation, R-Budding
(C) P-Binary fission, Q-Sporulation, R-Budding
(D) P-Binary fission, Q-Budding, R-Sporulation

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19. Which of the following is a haploid cell ?

(A) (B)

(C) (D)

20. The diagram below shows how both X and Y are
transported in a plant.
x
stems x
roots leaves
y y
What could be represented by X and Y ?

X Y
(A) X – water Y – mineral salts
(B) X – starch Y – water
(C) X – mineral salts Y – starch
(D) X – mineral salts Y – water

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Class : 9 Critical Thinking

21. A situation/statement is given below followed by four
options. Choose the best reason.
Electricians wear rubber sole because
(A) these are lighter than leather soles.
(B) these are more durable than leather soles.
(C) rubber is an insulator.
(D) they are more comfortable than leather soles.
22. A police man detained four suspects for a theft case.
P: Hey, I didn’t do it !
Q: P did it.
R: Come on, I was not even there when the case took place.
S: Q did it.
Only one suspect told the truth. Who was the thief ?
(A) S (B) R (C) Q (D) P
23. Choose the word that is necessary part of the word
‘DESERT’.
(A) Cactus (B) Arid (C) Oasis (D) Flat
24. A group of people go to a restaurant for a dinner.
They requested to be seated at the same table. The
restaurant has only rectangular tables that can be
joined end to end to form a large long table. Study
the figure below.
x x x x x x
x x x x
x x x x x x
How many tables are needed for 198 people ?
(A) 60 (B) 49 (C) 72 (D) 36
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25. Read both the statements in the given question.
Statement I. The school authority has asked the X Std.
students to attend special classes to be conducted on
Sundays.
Statement II. The parents of the X Std. students have
withdrawn their wards from attending private tuitions
conducted on Sundays.
(A) Statement I is the cause and statement II is its effect.
(B) Statement II is the cause and statement I is its effect.
(C) Both the statements I and II are independent causes.
(D) Both the statements I and II are effects of independent
causes.

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