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SAMPLE PAPER
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Class IX
RESONANCE Page No # 2
SECTION - 1MATHEMATICS
1. If a + b = 12, ab = 17 then the value of (4+a) (4+b) is -
(A) 61 (B) 64 (C) 81 (D) 74
2. In the diagram, if AB = AD = BD = DC then x = ?
xo
B
A D C
(A) 30 (B) 35 (C) 45 (D) 60
3. ΔABC is an isosceles right triangle with area P. The radius of the circle that passes through the point A, B andC is
(A) P (B) 2P
(C) 2P (D) P2
4. In the figure shown, the bigger circle has radius 1 unit. Therefore, the radius of smaller circle must be :
(A) 12 (B) 21
(C) 21
(D) 121
5. If the area of a square inscribed in a semicircle is 2 cm2 , then the area of the square inscribed in a full circleof the same radius is ______ .
(A) 5 cm2 (B) 10 cm2 (C) 25 cm2 (D) 25 cm2
6. The sum of real values of y satisfying the equations 2 2 2 2 4x x y x y 525 and 2x xy xy 35 is:
(A) 15 (B) 10 (C) 5/2 (D) 3/2
7. If 2x x 1 0 , then the value of 3x 2x 1 is:
(A) 0 (B) 2 (C) 1 52 (D) 1 5
2
8. 223223 is equal to -
(A) 2 (B) 1 (C) 22 (D) 6
RESONANCE Page No # 3
9. If P is a point inside the scalene triangle ABC such that APB , BPC and CPA have the same area thenP must be
(A) incenre of ABC (B) circumcentre of ABC
(C) centroid of ABC (D) orthocentre of ABC
10. If in a race over a distance of d meters at uniform speed, A can beat B by 20 meters, B can beat C by 10 metersand A can beat C by 28 meters, then d, in meters, is equal to
(A) 100 (B) 150 (C) 200 (D) 500
PHYSICS11. Audible Range to Human ear is
(A) 0 – 10Hz (B) 0 – 10 kHz (C) 0 – 20 Hz (D) 20 – 20 KHz
12. What do you mean by Tension force.
(A) force in spring (B) force in string (C) force due to rolling (D) attractive force
13. What happens to the pressure when Area is quadrupled
(A) 2 times (B) 4 times (C) 21 times (D) 4
1 times.
14. What is the magnification in a plane mirror
(A) (B) 1 (C) 0 (D) any integer
15. What do you mean by s
(A) Rolling friction coefficient (B) Kinetic friction coefficient
(C) Static friction coefficient (D) limiting friction coefficient
16. A body of mass 2 kg thrown upward with initial velocity 19.6 m/s. After 2 sec, its velocity will be
(A) 9.8 m/s. (B) 6 m/s (C) 4.8 m/s (D) 0
17. A body is falling from a height of 10 m. Its acceleration will be
(A) 10 m/s2 (B) 9.8 m/s2 (C) 9 m/s2 (D) 0 m/s2
18. A body does 100 J work in 1 min. Find power
(A) 100 watt (B) 10 watt (C) 16.7 watt (D) 1.67 watt
19. Earth is revolving around sun due to
(A) Circular force (B) Centripetal force (C) frictional force (D) Normal reaction force
20. When a body falls freely from a certain height
(A) its acceleration increases. (B) its velocity increases.
(C) its weight increases (D) Its temperature increase
CHEMISTRY21. Which of the following plastics do not have cross-links between their polymer chains ?
a. Nylon b. Melamine c. Terylene c. Bakelite
(A) a and b (B) b and c (C) a and c (D) c and d
22. Which of the following plastic objects can be recycled ?
a. Electric socket b. Polythene bag c. PVC pipe d. Ashtray
(A) a and b (B) b and c (C) a and d (D) c and d
RESONANCE Page No # 4
23. The non-metal which exists in the liquid state at room temperature is :
(A) fluorine (B) chlorine (C) bromine (D) iodine
24. A basic oxide will be formed by the element :
(A) sulphur (B) phosphorus (C) potassium (D) carbon
25. Which of the following pairs cannot undergo displacement reaction ?
(A) iron sulphate solution and magnesium (B) zinc sulphate solution and iron
(C) zinc sulphate solution and calcium (D) silver nitrate solution and copper
26. Which of the following is being used as a source of hydrogen gas needed to manufacture fertilisers ?
(A) biogas (B) natural gas (C) coal gas (D) petroleum gas
27. The various compounds present in coal tar are separated by the process of :
(A) simple distillation (B) destructive distillation
(C) fractional distillation (D) fractional crystallisation
28. The calorific value of a fuel is 40000 kJ / kg. This fuel is most likely to be :
(A) biogas (B) methane (C) hydrogen gas (D) liquefied petroleum gas
29. Which of the following is the main cause of global warming ?
(A) nitrogen dioxide (B) sulphur dioxide (C) carbon dioxide (D) ozone
30. A lot of dry powder of one of the following chemicals can be released over a fire to extinguish it. This chemicalis :
(A) plaster of Paris (B) baking soda (C) washing soda (D) bitumen
BIOLOGY31. Fish liver oil is rich in :
(A) Vitamin A and D (B) Vitamin B and C (C) Vitamin C and E (D) Vitamin D and K
32. Tomatoes are cultivated by the practice called :
(A) transpiration (B) translocation (C) transportation (D) transplantation
33. Which of the following increase the fertility of soil ?
a. Lactobacillus bacteria b. Rhizobium bacteria
c. Spirogyra algae d. Blue-green algae
(A) a and b (B) b and c (C) a and d (D) b and d
34. Which of the following disease is not caused by bacteria ?
(A) cholera (B) typhoid (C) tuberculosis (D) measles
35. Which of the following is not a part of Pachmarhi Biosphere Reserve ?
(A) Bori Wildlife Sanctuary (B) Satpura Nationa Park
(C) Bandipur National Park (D) Pachmarhi Wildlife Sanctuary
36. Which of the following is an endangered species of animals ?
(A) Dinosaur (B) Asiatic Lion (C) Irish deer (D) Hyena
37. Which of the following have cell walls?
a. Epidermal cell b. epithelial cell c. Mesophyll cell d. Liver cell
(A) a and b (B) b and c (C) a and c (D) b and d
RESONANCE Page No # 5
38. Which of the following cells can change their shape ?
a. White blood cell b. Amoeba cell c. Red blood cell d. Euglena cell
(A) a and b (B) b and c (C) a and d (D) b and d
39. Which of the following animal does not show metamorphosis ?
(A) fish (B) frog (C) silk moth (D) mosquito
40. The dramatic changes in body features associated with puberty are mainly because of the secretions of :
a. Thyroxine b. Estrogen c. Adrenaline d. Testosterone
(A) a and b (B) b and C (C) a and c (D) b and d
SECTION - 2SOCIAL SCIENCE
41. With increasing distance from the equator, the growing season of plants generally
(A) becomes longer (B) becomes shorter (C) remains the same (D) changes with season
42. The heat energy stored in the earth’s interior is called
(A) Coal (B) Petroleum (C) Geothermal energy (D) Tidal energy
43. Which of the following statements about India’s population is false ?
(A) A fairly large proportion of the population is below 15 years of age.
(B) A large proportion of the population is of working age.
(C) Most of the people are illiterate
(D) Males outnumber females
44. In 1798, governor, General lord Wellesley introduced the system of _________ to establish British supremacyin India.
(A) Subsidiary Alliance
(B) Doctrine of Lapse
(C) Abolition of pensions and titles of the Heirs of child less Indian rulers
(D) None of these
45. Who led a band of rebels to Delhi during the Revolt of 1857 ?
(A) Bakht Khan (B) Khan Bahadur Khan (C) Tantia Tope (D) None of these
46. The Calico Act 1721 was passed to
(A) promote the import of Indian calicoes into England
(B) help English traders by calicoes and chintz
(C) ban the use of Indian calicoes in England
(D) protect the interests of the English text tile manufactures.
47. In which year, English was made the official language in India ?
(A) 1831 (B) 1813 (C) 1844 (D) 1854
48. The ______ is the ex officio chairman of the planning Commission of India.
(A) The PM (B) The CM (C) the President (D) The Governor
RESONANCE Page No # 6
49. Orders to restore a citizen’s fundamental Rights are Issued by
(A) The government (B) The president (C) The courts (D) All of these
50. The ______ Movement was launched because British presence was putting India under the threat of a Japa-nese invasion.
(A) Quit India (B) Civil Disobedience (C) Non. Cooperation (D) None of these
MENTAL ABILITY51. Find the missing number
3, 12, 27, 48, 75, 108, ?
(A) 192 (B) 183 (C) 162 (D) 147
Direction (52 to 54) : In each of the following questions, a number series is given. After the series, below it in thenext line, a number is given followed by (P), (Q) , (R), (S) and (T). You have to complete the series startingwith the number given following the sequence of the given series. Then answer the question given below it.
52. 2 3 8 27 5
(P) (Q) (R) (S) (T)
Which of the following numbers will come in place of (T)?
(A) 184 (B) 6 (C) 925 (D) 45
53. 5 18 48 112 7
(P) (Q) (R) (S) (T)
Which number will come in place of (S)?
(A) 172 (B) 276 (C) 270 (D) 376
54. 15 159 259 323 7
(P) (Q) (R) (S) (T)
Which of the following numbers will come in place of (R)?
(A) 251 (B) 315 (C) 176 (D) 151
55. Find the wrong term(s)
DVG, FSI, HPK, JNM, LJO
(A) DVG (B) JNM (C) HPK (D) EFH
Direction (56 & 57) : Find the missing term in the given figures
56.
7
2 9
15
30
14
63
?
(A) 33 (B) 145 (C) 135 (D) 18
RESONANCE Page No # 7
57.
6
10916 2
5
15 13
53 ?22 1719 48
21 51
(A) 25 (B) 129 (C) 7 (D) 49
58. If D = 4 and COVER = 63, then BASIS = ?
(A) 49 (B) 50 (C) 54 (D) 55
59. If ‘P’ means “+”; ‘R’ means “X”; ‘S’ means “–”; ‘T’ means “ ”, then what is the value of
5 R 9 P 7 S 9 T 3 P 6 = ?
(A) 54 (B) 128 (C) 59 (D) 55
60. If means +, – means , means – and + means , then
?198184
28832
(A) 0 (B) 1 (C) 12 (D) None of these
RESONANCE Page No # 8
ANSWER KEY1. (C) 2. (A) 3. (A) 4. (B)
5. (A) 6. (C) 7. (B) 8. (A)
9. (C) 10. (A) 11. (D) 12. (B)
13. (D) 14. (B) 15. (C) 16. (D)
17. (B) 18. (D) 19. (B) 20. (B)
21. (C) 22. (B) 23. (C) 24. (C)
25. (B) 26. (B) 27. (C) 28. (A)
29. (C) 30. (B) 31. (A) 32. (D)
33. (D) 34. (D) 35. (C) 36. (B)
37. (C) 38. (A) 39. (A) 40. (D)
41. (B) 42. (C) 43. (C) 44. (A)
45. (A) 46. (C) 47. (C) 48. (A)
49. (C) 50. (A) 51. (D) 52. (C)
53. (B) 54. (B) 55. (B) 56. (C)
57. (A) 58. (B) 59. (D) 60. (B)