Sample_paper_anytse_2014_for_class_ix.pdf

Sample Paper (IX Studying)

Aakash National Young Talent Search Exam 2014

Aakash National Young Talent Search Exam 2014 (For IX Studying) Time : 2 Hours

MM : 320

SECTION-A : SCIENCE 1.

The velocity-time graph of a body is given below. What is the displacement of body from time t = 0 to t = 2 seconds?

5.

v (m/s) 6.

2 1 0

2.

3.

4.

The direction of momentum of an object is always along the direction of (1) Its velocity

(2) Its acceleration

(3) Force acting on it

(4) Its weight

If two bodies A and B of masses m and 2m are moving with velocities 2v and v respectively, then (1) A requires more force to stop in a given time

1

t (s)

2

(2) B requires more force to stop in a given time

(1) 1 m

(2) 3 m

(3) Both require same force to stop in a given time

(3) 4 m

(4) 5 m

(4) Same force will accelerate them equally 7.

A body describing circular path at uniform speed of 2 m/s takes 33 seconds to complete 3.5 revolutions. The radius of the circular path is (1) 3 m

(2) 5 m

(3) 2 m

(4) 1 m

8.

The mass of a planet is 4 times while its radius is 8 times that of the earth. If the weight of an object is 640 N on earth, what will be its weight on the planet? (1) 40 N

(2) 80 N

(3) 160 N

(4) 120 N 9.

A car accelerates uniformly from rest to attain a speed of 20 m/s after covering a distance of 80 m. It then decelerates uniformly and comes to rest after covering further a distance of 160 m. The total time taken for this journey is

A block of mass 750 g occupies a volume of 250 cm3. The relative density of the block is (1) 3

(2) 3.5

(3) 1.5

(4) 2.5

A bullet stops after travelling a distance of x m, under the action of a uniform retarding force. How far will it go before being stopped by the same force if its velocity is doubled? (1) x

(2) 3 x

(3) 4 x

(4) 2.5 x

A box is moving with constant velocity towards right. The net force acting on the box is (1) Rightwards (2) Zero

(1) 8 s

(2) 16 s

(3) Towards the centre of gravity

(3) 24 s

(4) 12 s

(4) Leftwards Space for Rough Work

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Aakash National Young Talent Search Exam 2014

Sample Paper (IX Studying) 15. The correct molecular formula of sodium sulphite is

10. Which of the following graphs correctly shows the variation of universal gravitational constant G with the acceleration due to gravity g ?

G

G g

(2) Na2S

(3) Na2SO3

(4) Na2S2O3

16. The ratio by mass of carbon to oxygen in carbon monoxide is

(2)

(1)

(1) Na2SO4

g

(1) 3 : 8

(2) 8 : 3

(3) 1 : 4

(4) 3 : 4

17. Match the following : Element

G

G (3)

(4)

g

g

11. A solution is prepared by addition of 10 g salt in 100 g water. To make the concentration of the solution 15% (w/w), the amount of salt added to the solution is approximately (1) 5.8 g

(2) 5.0 g

(3) 6.9 g

(4) 7.6 g

(3) Butter

a. Nitrogen

(i) 1

b. Sodium

(ii) 2

c. Carbon

(iii) 3

d. Calcium

(iv) 4

(1) a(iii), b(i), c(iv), d(ii) (2) a(iii), b(iv), c(i), d(ii) (3) a(iv), b(iii), c(ii), d(i) (4) a(ii), b(iii), c(iv), d(i) 18. The rate of evaporation does not increase with increasing

12. Which of the following colloids does not have the same dispersion medium as that in the remaining three? (1) Milk of Magnesia

Valency

(1) Surface area

(2) Temperature

(3) Humidity

(4) Wind speed

19. Consider the following process : X

(2) Mud

  Liquid   Gas Y

(4) Milk

X and Y are respectively

13. A gas jar contains 10 g of oxygen gas. In which condition, the interparticle space between oxygen molecules would decrease?

(1) Vaporisation and sublimation (2) Vaporisation and condensation

(1) Removal of 5 g gas from gas jar

(3) Condensation and sublimation

(2) Decreasing pressure

(4) Fusion and vaporisation

(3) Addition of more oxygen gas to the same gas jar

20. Which of the following statements is incorrect?

(4) Transferring gas to another gas jar having double volume

(1) Formula unit mass of sodium chloride is 58.5 u (2) Ammonium ion is a polyatomic anion

14. Which of the following is not an element? (1) Diamond

(2) Brass

(3) Mercury

(4) Sulphur

(3) Sulphur molecule is octa-atomic (4) The smallest constituent of matter with independent existence is a molecule Space for Rough Work

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Sample Paper (IX Studying)

Aakash National Young Talent Search Exam 2014

21. Which of the following taxa comes before family and after class? (1) Order

(2) Genus

(3) Phylum

(4) Division

25. Statement 1 – Mitochondria and chloroplasts can produce their own proteins as they contain ribosome. Statement 2 – Energy currency of the cell is produced by RER.

22. The rod like structure visible during cell division is made up of

(1) Both the statements are true (2) Both the statements are false

(1) RNA and lipids

(3) Statement 1 is true and statement 2 is false

(2) DNA and proteins

(4) Statement 1 is false and statement 2 is true

(3) DNA and phospholipids

26. What is common to both Marsilea and Ipomoea?

(4) Proteins and phospholipids

(1) Both are aquatic plants (2) Both are cryptogamae

23. Which of the following is true for the elements depicted in the given diagram?

(3) Both produce naked seeds (4) Both are vascular plants 27. Which of the following organisms possess jointed legs and blood filled coelomic cavity? (1) Nereis, Leech, Antedon and Asterias (2) Scolopendra, Musca, Nereis and Leech (3) Musca, Chiton, Pila and Echinus (4) Scolopendra, Musca, Aranea and Butterfly

(i) Dead

28. Which of the following are egg laying mammals?

(ii) Contain pits

(1) Anabas and Draco

(iii) Transport water in both directions (1) Only (iii)

(2) (i) & (ii)

(3) (i), (ii) & (iii)

(4) (i) & (iii)

(2) Whale and Ostrich (3) Kangaroo and Pigeon (4) Platypus and Echidna

24. Which of the following is incorrectly matched? Animal

Class

Characteristic

(1) Purkinje

(2) Leeuwenhoek

(3) Schwann

(4) Virchow

(1) Ostrich

Aves

Exoskeleton of feathers

(2)

Amphibia

Shiny skin

(3) Exocoetus

Pisces

Breathing through gills

(4) Draco

Reptilia

Exoskeleton of hair

Hyla

29. The term protoplasm was coined by

30. __________provides flexibility to plants. (1) Chlorenchyma

(2) Sclerenchyma

(3) Parenchyma

(4) Collenchyma

Space for Rough Work

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Aakash National Young Talent Search Exam 2014

Sample Paper (IX Studying)

SECTION-B : MATHEMATICS 31. The decimal representation of

36. If 22 x  256 , then the value of x is

2 is 11

(1) (1) 0. 1

(2) 0.17

(3) 0.18

(4) 0.19

32. The expression (1) (3x –

27x3

–

125y3

7 2

(2) 8

(3) 4

(4) 2

37. If P(x) =

on factorisation gives

5y)3

(2) (3x – 5y)(9x2 + 25y2 + 15xy)

3x2

+ 2x – 4, then P(–1) is equal to

(1) –3

(2) 3

(3) 1

(4) 0

38. In parallelogram PQRS, T and U are any two points on the sides QR and PQ respectively. The ratio of ar(PST) to ar(RSU) is

(3) (3x – 5y) (9x2 + 25y2 – 15xy) (4) (3x + 5y)3

S

R

33. In ABC and PQR, if B = Q and C = R, then for ABC to be congruent to PQR by ASA congruence rule, we must have (1) BC = PQ

(2) AB = PR

(3) AC = PQ

(4) BC = QR

T

P

34. A quadrilateral ABCD is a parallelogram if and only if

Q

U

(1) 1 : 2

(2) 2 : 3

(3) 1 : 1

(4) 3 : 2

(1) Its diagonals are perpendicular 39. If a  9  4 5 , then the value of

(2) Its diagonals bisect each other (3) One pair of its opposite sides is parallel

(1) 3 − 2 5

(4) One pair of its opposite angles is equal

(3)

35. If in ABC, E is the mid-point of median AD, then area of BEC is equal to

5 2

(2)

5 5

(4)

2 5

a is

40. The expression (2a – 3b)3 + (3b – 5c)3 + (5c – 2a)3 is equal to

1 ar (ABC ) 4

(2)

1 ar (ABC ) 2

(1) 3(2a – 3b) (3b – 5c) (2a – 5c)

(1)

1 ar (ABC ) 3

(4)

1 ar (ABC ) 5

(3) –3(2a – 3b) (3b – 5c) (2a – 5c)

(3)

(2) 3(2a – 5c) (5c – 3b) (3b – 2a)

(4) 3(a – 3b) (3b – 2c) (2c – a)

Space for Rough Work

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Sample Paper (IX Studying)

Aakash National Young Talent Search Exam 2014

41. A quadrilateral in which diagonals are equal and bisect each other at right angles is a (1) Rectangle

45. A rational number between

(2) Square

(3) Rhombus

(1)

(3)

(1)

1 5

(2)

2 5

(3)

3 5

(4)

4 5

(4) Kite

42. The decimal 0.27 can be expressed in the form p , where p and q are integers and q  0, as q 27 100

(2)

25 99

(4)

46. The expression 343x3 – 64y3 – 588x2y + 336xy2 is equivalent to

5 18

3 11

2x 2  3 y 2  z 2  2 6 xy  2 3 yz  2 2 xz can be factorised as

2

(3) ( 3 x  2y  z )

(2) (4)

(1) (4y – 7x)3

(2) (4x – 7y)3

(3) (7x – 4y)3

(4) (7y – 4x)3

47. If area of a parallelogram with sides m and n is P and that of a rectange with sides m and n is R, then

43. The expression

(1) ( 2x  3y  z )2

( 2x  3y  z )2 2

( 2 x  3 y  6z )

D

(1) P > R

(2) P < R

(3) P  R

(4) P = R

48. If ABC  PQR and A = 60º, then Q + R is equal to (1) 30º

(2) 120º

(3) 60º

(4) 300º

49. For a square ABCD, BAC + ACD is equal to

44. In the given figure, quadrilateral PQRS is formed by the angle bisectors of interior angles of a parallelogram ABCD. If PS = 6 cm and QS = 10 cm, then area of quadrilateral PQRS is

(1) 45º

(2) 60º

(3) 90º

(4) 130º

50. ABCD is a parallelogram in which BAC = 30° and DOC = 110°. The measure of ODC is

C P S

A (1) 80

cm2

(3) 48 cm2

A Q

R

1 1 and can be 3 2

B

30° O 110°

B

D

C

cm2

(1) 35°

(2) 30°

(4) 40 cm2

(3) 60°

(4) 40°

(2) 60

Space for Rough Work

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Aakash National Young Talent Search Exam 2014

Sample Paper (IX Studying)

51. The expression

57. The figure formed by joining the mid-points of the sides of a quadrilateral, taken in order, must be a

(2 x  3y )2  (2x  3y )2  (2x  3y )(2 x  3y ) is equal to (1) 27 x 2  4y 2

(2)

4 x 2  27y 2

(3) 12 x 2  9 y 2

(4)

4 x 2  27y 2

(1) Square

(2) Rhombus

(3) Parallelogram

(4) Rectangle

58. In the given figure, E is the mid-point of DF and AD = DB. If AB = 10 cm, then CF is equal to

52. In the given figure, if PT = VR, RTP = RVP and SPT = QRV, then SP is equal to

V

Q

10 cm

P

A

E

D

B S

R

T

(1) VR

(2) QR

(3) TR

(4) PV

53. ABCD is a parallelogram and E is the mid-point of AD. CE and BA are produced to meet at F. If ar(ABCD) = 36 cm2, then ar(AEF) is equal to (1) 12 cm2

(2) 9 cm2

(3) 36 cm2

(4) 18 cm2

C

(2) 45º

(3) 30º

(4) 60º

55. The expression factorized as

(2)

(3) 5 cm

(4) 7.5 cm

59. In the given figure, if ABCD is a parallelogram, then the length of CD is

A

can be

(2)

( x  3)( x  2)

(3) ( x  3)( x  2)

(4)

( x  3)( x  2)

60.

(4) BC > AB

M

C 10 cm

(1) 6 cm

(2) 13.3 cm

(3) 5.5 cm

(4) 7.5 cm

(a  b )( a  b ) is equal to (1) a3  b3  ab (2) a3/2  ab  (ab)1/2  b3/2

56. In ABC, if B > A, then which of the following is always true? (3) AC > BC

E

6 cm B

(1) ( x  3)( x  2)

(2) AB > AC

D 8 cm

x 2  (3  2)x  3 2

(1) BC > AC

10 cm 3

(1) 2.5 cm

54. If AD is the median on side BC of an equilateral ABC, then ADB is equal to (1) 90º

F

(3) a3/2  b3/2  (ab)3/2 (4) a1/2  b1/2  (ab)1/2  ab

Space for Rough Work

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Sample Paper (IX Studying)

Aakash National Young Talent Search Exam 2014

SECTION-C : MENTAL ABILITY 61. Look carefully for the number patterns given below and then choose the number that comes at last.

Directions for Q.64 & Q.65 : If '+' means '×' , '–' means '+', '×' means '÷', '÷' means '–' then find the solution of the following questions.

2, 5, 11, 23, 47, ? (1) 95

(2) 90

(3) 97

(4) 82

64. 16 – 21 × 7 ÷ 10 + 2 = ?

62. Find the mirror image of the following figure as given below.

(3)

C. Cat

(3) 0

(4) 10

1 =? 4

(1) 204

(2) 12

(3) 1

(4) 198

66. Five boys took part in a race. Roshan finished before Zafar but behind Saurav, Devesh finished before Sohan but behind Zafar. Who won the race?

(2)

(1) Roshan

(2) Zafar

(3) Saurav

(4) Devesh

Directions for Q.67 & Q.68 : The figure (Q) given as the question figure in each of these problems is folded to form a cube. Choose from the given alternatives (1), (2), (3) and (4) the correct answer for these questions.

(4)

67.

Directions for Q. 63 : In the following question arrange the words in a meaningful logical order and thereby select the appropriate answer option. 63. A. Fly

(2) –1

65. 222 – 22 + 5 ÷ 32 ×

P T R U V S (1)

(1) 1

4 2 1 6 3 5 (Q)

B. Elephant D. Whale

Find the number contained in the face opposite to the face containing 3.

E. Lion (1) ADCEB

(2) ACEBD

(1) 1

(2) 5

(3) ABCED

(4) AECBD

(3) 4

(4) None of these

Space for Rough Work

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Aakash National Young Talent Search Exam 2014

Sample Paper (IX Studying)

68. Find the number contained in the face opposite to the face containing 6. (1) 1

(2) 4

(3) 2

(4) 3

74. Where is Sarla serving?

AC, EG, IK, ? (2) OM

(3) NP

(4) PN

C

F

J

L

N

Q

x

G

I

L

P

O

Q

T

y

(3) Jakarta

(4) Bangkok

(1) Yorkshire

(2) Abu Dhabi or Paris

(3) Jakarta

(4) Bangkok

Directions for Q.76 & Q.77 : In the following figure, the smaller triangle represents doctors, the bigger triangle represents teachers, the circle represents females and the rectangle represents citizens of Delhi.

Directions for Q.70 & Q.71 :

A

(2) Abu Dhabi or Paris

75. Where is Shalini working?

69. Find the missing term from the given sequence. (1) MO

(1) Yorkshire

C

A

70. x = ? (1) T

(2) M

(3) U

(4) V (2) X

(3) R

(4) S

(3) HRT

(4) GEF

G

76. Who among the following are doctors but not females?

GFH : EGG : : ? : FSS (2) HGF

H

On the basis of the above diagram, answer the following questions :

72. Find the missing term. (1) GHF

D E F I

71. y = ? (1) W

B

(1) D, E

(2) F, G

(3) A, B

(4) C, H

77. Who among the following teachers are neither females nor doctors?

Directions for Q.73 to 75 : Five girls Sheela, Sarla, Shalini, Vini and Usha are serving in Yorkshire, Abu Dhabi, Jakarta, Paris and Bangkok. The places of service are not in the serial order as the names are mentioned. Sheela and Usha do not serve in Jakarta or Bangkok. Sarla and Shalini are not serving in Abu Dhabi or Paris. Vini has nothing to do with Jakarta or Abu Dhabi. Shalini is not in Jakarta and Vini is neither in Bangkok nor in Paris.

(1) C, H

(2) F, I

(3) E, G

(4) A, I

78. How many squares are there in the given figure?

73. Where is Sheela serving? (1) Yorkshire

(2) Abu Dhabi or Paris

(1) 20

(2) 22

(3) Jakarta

(4) Bangkok

(3) 30

(4) 34

Space for Rough Work

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Sample Paper (IX Studying)

Aakash National Young Talent Search Exam 2014

79. If animals that live on land and the animals that live in water are represented by two circles and there are animals that live on land and in water both. The relationship between all the three classes of animals can be best represented in figure as (1)

(3)

80. Find the correct option that best completes the figure.

?

(2)

(4)

(1)

(2)

(3)

(4)

  

Space for Rough Work

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