maths quiz for class ix and x

1. Group No.-2 Class - IX ,X

2. First Round General Maths (Objective Type)

3. 1. 4 5 end with digit - A. 0 B. 5 C. 4 D. 6

4. Ans. C. 4

5. 2.If the root of the equation 3x²-kx-2=0 is 2,then what is the value of k. A. 0 B. -2 C. 3 D. 5

6. Ans. D. 5

7. 3.If p+2, 4p-6 and 3p-2 are the three consecutive terms of an A.P., Find the value of p. A. 1 B. 2 C. 3 D. 4

8. Ans. C. 3

9. 4.In Series 1,3,7,15,…..,what is the next term? A. 28 B. 29 C. 30 D. 31

10. Ans. 31

11. 5. If the tan A=3/4,then what is the value of sec A ? A. 4/3 B. 3/5 C. 5/3 D. 5/4

12. Ans. D. 5/4

13. Q.6-What is the value of Cos80 °/Sin10°+Cos 59°Cosec31°. A. 0 B. 1 C. 2 D. 3

14. Ans. C. 2

15. Q.7-If A+B+C=180 ° and angle A=90°,then what is value of tan(B+C)? A. 0 B. 1 C. Not define D.1/ √2

16. Ans.-Not define

17. Q.8-What is the value of A? if 2Sin²A=1/2 , 0 °<A<90°. A. 0 ° B. 30 ° C. 45 ° D. 60 °

18. Ans. 30 °

19. Geometry Second round

20. 1. In given figure, QT┴ PR, what is the value of x? P Q S T R x 40 o 30 o

21. Ans. 80 °

22. 2 . In given circle AB is diameter of circle.What is the value of x ? 60 o C A B D x

23. Ans. 30 o

24. 3.In given figure , PAR=90 °. Find QPR. Q P R A 90 O 24 cm. 26 cm 6 cm 8 cm

25. Ans. 90 o

26. 4.In the given figure, ∆ODC ~∆OBA. BOC=125° and CDO=70°,Find OAB. D C O A B 125 o 70 o

27. Ans. 55 o

28. 5.Give the name of the point of intersection where all the altitude of a triangle meet.

29. Ans. Arthocentre .

30. 6. If one angle of an isosceles triangle is of 50 ° and AB= AC,Find the value of other two angles. A B C 50 o

31. Ans. 65 °,65 o

32. 7. What is the area of an equilateral triangle if the length of side is a unit?

33. Ans. ( √3/4)a 2

34. 8.Find the Sum of the interior angles of a polygon having 12 sides.

35. Ans.1800 °

36. 3 rd Round ( Passing Round )

37. Q.1. Two Cubes each of volume 64 cm³ are joined end to end . Find the surface area of the resulting cuboid.

38. Ans.160 cm²

39. Q.2. The radius of a sphere is 14cm. It is melted and drawn into a cylindrical wire of 7 cm in radius. Find the length of the wire.

40. Ans. 56 cm.

41. 3. Find the volume of the greatest sphere that can be cut from a cylindrical log of wood of base radius 1cm and height 5 cm.

42. Ans. (4/3)  cm³

43. 4. Radius of a cone is 4 cm. Find the height of the cone so that its volume may be equal to that of a sphere of 4cm in diameter.

44. Ans. 2 cm.

45. Fourth Round Algebra

46. Q.1 Name the mathematician .Who first compute the decimal expansion of л (Pie) .

47. Ans. Archimedes

48. Q.2- Find the value of 32 2/5.

49. Ans . 4

50. Q.3- What are the zeros of the polynomial P(x)=x²-5x+6?

51. Ans. 2,3

52. Q.4- What is the remainder when x 4 + x³+x²- 2x+1 is divided by x-1?

53. Ans. 2

54. Q.5-If x+y+z =0 then x³+y³+z³ is equal to …………. .

55. Ans. 3xyz

56. Q.6-Find the value of [(1.7) 2 – (1.3) 2 ]/(1.7-1.3)

57. Ans . 3

58. Q.7- If the coordinate of a point are (3,2) then find the abscissa.

59. Ans. 3

60. Q.8- Give any two solution of the equation x+2y= 6.

61. Ans. X=6, y=0 and x=0 , y=3

62. End of the Group II