Sample Paper (Solved) SoSE Class 9th PDF

## Sample Paper (Solved) ### School of Specialized Excellence STEM-Science, Technology, Engineering & Mathematics (Class 9th) Admission Test ### MENTAL ABILITY 1. From his house, Ramesh goes 15 km to North. Then he turns West and covers 20 km. Then he turns South and covers 5 km. Finally he turns E...

## Sample Paper (Solved) ### School of Specialized Excellence STEM-Science, Technology, Engineering & Mathematics (Class 9th) Admission Test ### MENTAL ABILITY 1. From his house, Ramesh goes 15 km to North. Then he turns West and covers 20 km. Then he turns South and covers 5 km. Finally he turns East and covers 30 km. Looking from his house, in which direction is he standing? - A. North-west - B. North-east - C. South-east - D. South-west 2. In a list, if Shikha is 15th from the upper end and 17th from the lower end, then find the total number of people in the list. - A. 41 - B. 33 - C. 31 - D. 32 3. Five boys A, B, C, D and E are sitting in a row. A is to the right of B and E is to the left of B but to the right of C. A is to the left of D. Who is second from the left end? - A. B - B. É - C. A - D. C 4. In a certain code, 'TERMINAL' is written as 'NSFUMBOJ' and 'TOWERS' is written as 'XPUTSF'. How is 'MATE' written in the same code? - A. FUBN - B. UFNB - C. BNFU - D. BNDS 5. Arrange the following words as per order in the dictionary: - 1. Quilt - 2. Quite - 3. Queen - 4. Queue - A. 1, 4, 2, 3 - B. 4, 3, 1, 2 - C. 2, 3, 4, 1 - D. 3, 4, 1, 2 6. Choose the letter group that represents a relationship similar to the one expressed in the original pair of letter groups. - UNDERSTAND : DASENNTRDU :: RETIREMENT:? - A. TEEIENMRTR/ - B. TNEMERITER - C. EMENTRETIR - D. ERITEREMTN 7. Choose the figure, which is different from others - | 1 | 2 | 3 | 4 | - A. 1 - B. 2 - C. 3 - D. 4 8. If "+" means "+", "x" means "-", "÷" means "x" and "-" means "+", what will be the value of the following expression? - 9+34-8x2 = ? - A. 63 - B. -1 - C. 4 - D. 18 9. If Maya is the only daughter of Richa's grandmother's brother, how is Maya's daughter related to Richa? - A. Niece - B. Cousin - C. Aunt - D. Mother 10. Which square should replace the question mark? - | * | * | * | * | - | * | * | * | * | - | * | * | * | * | - | * | * | ? | * | - A. - B. - C. - D. ## MATHEMATICS 11. The value of (3 × 4 + 2 × 10) / (25 / 3 + 5 / 5) is: - A. 503/40 - B. 203/40 - C. 403/40 - D. (30)/40 12. The abscissa of a point is its distance from the: - A. Origin - B. X-Axis - C. Y-Axis - D. None 13. What is the value of m, if (2/3)–(3/9)–(3/9) = (m/9)? - A. m = 1 - B. m = -2 - C. m = -1 - D. m = 2 14. "If a number when divided by 4 leaves remainder 2 or 3", then which one is the correct statement? - A. The number is not a perfect square- - B. The number is a perfect square - C. The number is a prime number - D. None of these 15. The value of √(0.2304) + √(0.1764) / √(0.2304) – √(0.1764) is: - A. 15 - B. 16 - C. 5 - D. 150 16. Three numbers are in the ratio 2: 3: 4. The sum of their cubes is 33957. The numbers are: - A. 16, 24 and 32 - B. 12, 18 and 24 - C. 14, 21 and 28 - D. 18, 27 and 36 17. Find the least square number divisible by each one of 8, 9 and 10: - A. 360 - B. 36 - C. 3600 - D. 3.6 x 10² 18. If 148101a095 is a multiple of 11, where a is a digit, the value of a is: - A. 0 - B. 4 - C. 1 - D. 2 19. Find the value of A and B in: [B][A][X]= [3][B][A] [5][7][A] - A. A = 5 and B = 2 - B. A = 5 and B = 5 - C. A = 2 and B = 2 - D. A = 2 and B = 5 20. Find the value of Z for which the number 47128 is divisible by 9. - A. 4 - B. 5 - C. 7 - D. 8 21. If the area of an equilateral triangle is 64√3 cm², then the side of the triangle is: - A. 18√3 cm - B. 9 cm - C. 16 cm - D. 3√2 cm 22. The value of (4m² - a² + 2ab - b²) / (2m + a - b) is: - A. (2m - a + b) - B. (2m - ab - C. (2m + a + b) - D. (2m + ab) 23. The ratio between the speeds of two trains A and B is 3: 5. If train B runs 300 km in 4 hours, the speed of train A will be: - A. 40 km/h - B. 60 km/h - C. 30 km/h - D. 45 km/h 24. Two years ago, Dilip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. The present age of son and Dilip are: - A. 14, 38 years - B. 16, 40 years - C. 12, 36 years - D. None of these 25. The probability of getting a 7 in a single throw of a dice is: - A. 1 - B. 0 - C. 1/6 - D. 1/2 26. A's income is 60% more than that of B. By what percent is B's income less than A's? - A. 37% - B. 37.5% - C. 36.5% - D. 36% 27. By joining (-3, 2), (-3, -3) and (-3, 4), which of the following is obtained? - A. A triangle - B. A straight line parallel to x-axis - C. A straight line parallel to y-axis - D. A straight line passing through origin 28. The number of times a particular observation occurs in a given data is called its: - A. Frequency - B. Range - C. Mean - D. None of these 29. By selling 33 m of cloth, a draper loses an amount equal to the selling price of 3 m of cloth. Find his gain or loss per cent. - A. gain 8 1/3% - B. loss 8 1/3% - C. gain 7% - D. loss 7% 30. Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is: - A. 24 cm - B. 20 cm - C. 18 cm - D. 12 cm 31. Find the single discount equivalent to two successive discounts of 20% and 10%. - A. 25% - B. 30% - C. 28% - D. 10% 32. On dividing 200 into two parts, 1/3 of the first part and 1/2 of the second part are equal. The larger of the parts is: - A. 80 - B. 120 - C. 40 - D. 150 33. On selling a fan for ₹10, Sunil gains 8%. For how much did he purchase it? - A. ₹700 - B. ₹675 - C. ₹650 - D. ₹750 34. Find the value of x: 3² x 3³ x 3⁴ = (√3)ˣ - A. -1 - B. 0 - C. 1 - D. 2 35. (-a × b × c²) / (b²) / (c²) - A. (-a × b × c²) / b - B. b / a - C. b / a - D. b / a 36. If n is a perfect cube, then every prime factor of 'n' occurs: - A. One time - B. Two times - C. Three times - D. Four times 37. Find the greatest number of four digits which is a perfect square? - A. 9800 - B. 9864 - C. 9999 - D. 9801 38. If the ratio of the ages (in years) of x and y, 8 years ago is 7: 6, then which of the following can be the sum of their ages 8 years from now? - A. 82 - B. 97 - C. 75 - D. 94 ## SCIENCE 46. Loudness of sound is measured in units of: - A. decibel (dB) - B. hertz (Hz) - C. metre (m) - D. metre/second (m/s) 47. Crop rotation is performed to: - (a) Improve the fertility of soil - (b) Save nitrogenous fertilizers - (c) Help in weed control and pest control - A. Only (a) and (b) - B. Only (a) and (c) - C. Only (b) and (c) - D. (a), (b) and (c) 48. It is easier to swim in sea water than in river water because: - A. Sea water is more dense than river water - B. Sea water has waves - C. Sea has large quantity of water - D. Sea water is less dense than river water 49. The full form of LED is: - A. Light emitting diode - B. Light emission diode - C. Layer emission diode - D. Layer electron device 50. The sex determining system in which males are XY and females are XX is found in all: - A. Multicellular organism - B. Animals - C. Vertebrates - D. Mammals 51. A toy car released with the same initial speed will travel farthest on: - A. Muddy surface - B. Polished marble surface - C. Cemented surface - D. Brick surface 52. A small hole P is made in a piece of cardboard. The hole is illuminated by a torch as shown in the figure. The ray of light coming out of the hole falls on a mirror. - | (a) | (b) | (c) | (d) | - |---|---|---|---| - | | | | | - | | | | | At which point should the eye be placed, so that the hole can be seen? - A. (a) - B. (b) - C. (c) - D. (d) 53. A cell converts: - A. Electrical energy into chemical energy - B. Chemical energy into electrical energy - C. Magnetic energy into electrical energy - D. Electrical energy into mechanical energy 54. A rubber sucker when pressed on a surface sticks to it because: - A. Gravitational pull acts on it. - B. Atmospheric pressure acts on it. - C. Rubber sucker has some glycerine in it. - D. Atmospheric pressure does not act on it. 55. Which of the following is a mismatched pair? - A. Ovaries - Oestrogen - B. Testes - Testosterone - C. Pancreas - Calcitonin - D. Adrenal glands - Corticosteroids 56. Rhizobium bacteria: - A. Help in digestion - B. Help in nitrogen fixation - C. Cause diseases - D. All of the above 57. The metal which is stored in kerosene? - A. Phosphorus - B. Magnesium - C. Sodium - D. Calcium 58. Naphthalene balls are obtained from: - A. Carbon - B. Coke - C. Coal tar - D. Coal gas 59. The light from sun takes 500 s to reach the earth. Assuming that the speed of light is 3,00,000 kms, calculate the distance between the sun and the earth. - A. 100 million km - B. 150 million km - C. 1500 million km - D. 15 million km 60. Suppose a new planet is discovered between Uranus and Neptune, its time period of revolution around the sun would be: - A. Less than that of Neptune - B. More than that of Neptune - C. Equal to that of Neptune of Uranus - D. Less than that of Uranus