Term I - Important One Mark Question Paper

9th Standard

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Mathematics

Time : 01:00:00 Hrs
Total Marks : 50

    Answer ALL Questions

    36 x 1 = 36
  1. If A = {x, y, z} then the number of non - empty subsets of A is

    (a)

    8

    (b)

    5

    (c)

    6

    (d)

    7

  2. If A∪B = A∩B, then

    (a)

    A ≠ B

    (b)

    A = B

    (c)

    A ⊂ B

    (d)

    B ⊂ A

  3. The shaded region in the adjacent diagram represents

    (a)

    (A∪B)′

    (b)

    (A∩B)′

    (c)

    A′∩B′

    (d)

    A∩B

  4. A = {set of odd natural numbers}, B = {set of even natural numbers}, then A and B are ___________

    (a)

    equal set

    (b)

    equivalent sets

    (c)

    overlapping sets

    (d)

    disjoint sets

  5. Sets having the same number of elements are called ___________

    (a)

    overlapping sets

    (b)

    disjoints sets

    (c)

    equivalent sets

    (d)

    equal sets

  6. The set (A - B) U(B - A) is ___________

    (a)

    AΔB

    (b)

    AUB

    (c)

    A∩B

    (d)

    A'UB'

  7. If n is a natural number then \(\sqrt { n } \) is

    (a)

    always a natural number

    (b)

    always an irrational number

    (c)

    always a rational number

    (d)

    may be rational or irrational

  8. Which one of the following has a terminating decimal expansion?

    (a)

    \(\frac { 5 }{ 64 } \)

    (b)

    \(\frac { 8 }{ 9 } \)

    (c)

    \(\frac { 14 }{ 15 } \)

    (d)

    \(\frac { 1 }{ 12 } \)

  9. The smallest rational number by which \(\frac { 1 }{ 3 } \)  should be multiplied so that its decimal expansion terminates after one place of decimal is

    (a)

    \(\frac { 1 }{ 10 } \)

    (b)

    \(\frac { 3 }{ 10 } \)

    (c)

    3

    (d)

    30

  10. if \(\frac { 1 }{ 7 } \) = \(0.\bar { 142857 } \) then the value of \(\frac { 5 }{ 7 } \)

    (a)

    \(0.\overline { 142857 } \)

    (b)

    \(0.\overline { 714285 } \)

    (c)

    \(0.\overline { 571428 } \)

    (d)

    0.714285

  11. Find the odd one out of the following

    (a)

    \(\sqrt { 32 } \times \sqrt { 2 } \)

    (b)

    \(\frac { \sqrt { 27 } }{ \sqrt { 3 } } \)

    (c)

    \(\sqrt { 72 } \times \sqrt { 8 } \)

    (d)

    \(\frac { \sqrt { 54 } }{ \sqrt { 18 } } \)

  12. Which one of the following has terminating decimal expansion?

    (a)

    \(\frac { 7 }{ 9 } \)

    (b)

    \(\frac { 8 }{ 15 } \)

    (c)

    \(\frac { 1 }{ 2 } \)

    (d)

    \(\frac { 5 }{ 32 } \)

  13. Irrational number has a________________ .

    (a)

    terminating decimal

    (b)

    no decimal part

    (c)

    non-terminating and recurring decimal

    (d)

    non-terminating and non-recurring decimal

  14. If \(\frac { 1 }{ 7 } \)= 0.142857, then the value of is______________.

    (a)

    0.285741

    (b)

    0.428571

    (c)

    0.285714

    (d)

    0.574128

  15. If x3 + 6x2 + kx + 6 is exactly divisible by (x + 2), then k= ?

    (a)

    -6

    (b)

    -7

    (c)

    -8

    (d)

    11

  16. The type of the polynomial 4–3x3 is

    (a)

    constant polynomial

    (b)

    linear polynomial

    (c)

    quadratic polynomial

    (d)

    cubic polynomial.

  17. The sum of the polynomials p(x) = x3 – x2 – 2, q(x) = x2–3x+ 1

    (a)

    x3 – 3x – 1

    (b)

    x3 + 2x2 – 1

    (c)

    x3 – 2x2 – 3x

    (d)

    x3 – 2x2 + 3x –1

  18. The Auto fare is found as minimum rs 25 for 3 kilometer and thereafter rs12 for per kilometer. Which of the following equations represents the relationship between the total cost ‘c’ in rupees and the number of kilometers n?

    (a)

    c = 25 + n

    (b)

    c = 25 + 12n

    (c)

    c = 25 + (n–3)12

    (d)

    c = (n–3)12

  19. The sum of \({ 5x }^{ 2 };-7x^{ 2 };8x^{ 2 };11x^{ 2 }\quad and\quad -9x^{ 2 }\) is _________________________

    (a)

    \(2{ x }^{ 2 }\)

    (b)

    \(4{ x }^{ 2 }\)

    (c)

    \(6{ x }^{ 2 }\)

    (d)

    \(8{ x }^{ 2 }\)

  20. The coefficient of \({ x }^{ 2 }\quad and\quad x\quad in\quad 2{ x }^{ 3 }-5{ x }^{ 2 }+6x-3\quad are\quad respectively\)____________________

    (a)

    2, -5

    (b)

    2, 6

    (c)

    -5, 6

    (d)

    -5, -3

  21. The degree of the polynomial \( \sqrt { 2 } { x }^{ 2 }-\frac { 7 }{ 2 } { x }^{ 4 }+x-5x^{ 3 }\quad is\)_____________________

    (a)

    2

    (b)

    3

    (c)

    4

    (d)

    5

  22. ABCD is a square, diagonals AC and BD meet at O. The number of pairs of congruent triangles are

    (a)

    6

    (b)

    8

    (c)

    4

    (d)

    12

  23. The correct statement out of the following is

    (a)

    ΔABC ≅ ΔDEF

    (b)

    ΔABC ≅ ΔDEF

    (c)

    ΔABC ≅ ΔFDE

    (d)

    ΔABC ≅ ΔFED

  24. If the diagonal of a rhombus are equal, then the rhombus is a

    (a)

    Parallelogram but not a rectangle

    (b)

    Rectangle but not a square

    (c)

    Square

    (d)

    Parallelogram but not a square

  25. If bisectors of ∠A and ∠B of a quadrilateral ABCD meet at O, then ∠AOB is

    (a)

    ∠C + ∠D

    (b)

    \(\frac { 1 }{ 2 } (\angle C+\angle D)\)

    (c)

    \(\frac { 1 }{ 2 } \angle C+\frac { 1 }{ 3 } \angle D\)

    (d)

    \(\frac { 1 }{ 3 } \angle C+\frac { 1 }{ 2 } \angle D\).

  26. Which of the following statement is correct?

    (a)

    Opposite angles of a parallelogram are not equal.

    (b)

    Adjacent angles of a parallelogram are complementary.

    (c)

    Diagonals of a parallelogram are always equal.

    (d)

    Both pairs of opposite sides of a parallelogram are always equal.

  27. What is the name of a regular polygon of six sides?

    (a)

    Square

    (b)

    Equilateral triangle

    (c)

    Regular hexagon

    (d)

    Regular octagon

  28. One angle of a parallelogram is a right angle. The name of the quadrilateral is ______

    (a)

    square

    (b)

    rectangle

    (c)

    rhombus

    (d)

    kite

  29. If all the four sides of a parallelogram are equal and the adjacent angles are of 120° and 60°, then the name of the quadrilateral is ______

    (a)

    rectangle

    (b)

    square

    (c)

    rhombus

    (d)

    kite

  30. Which of the following is a formula to find the sum of interior angles of a quadrilateral of n-sides?

    (a)

    \(\frac { n }{ 2 } \) x 180

    (b)

    \(\left( \frac { n+1 }{ 2 } \right) \)1800

    (c)

    \(\left( \frac { n-1 }{ 2 } \right) \)1800

    (d)

    (n-2)1800

  31. The point M lies in the IV quadrant. The coordinates of M is _______

    (a)

    (a,b)

    (b)

    (–a, b)

    (c)

    (a, –b)

    (d)

    (–a, –b)

  32. The point whose ordinate is 4 and which lies on the y-axis is............

    (a)

    ( 4, 0 )

    (b)

    (0, 4)

    (c)

    (1, 4)

    (d)

    (4, 2)

  33. The distance between the two points ( 2, 3 ) and ( 1, 4 ) is ______

    (a)

    2

    (b)

    \(\sqrt { 56 } \)

    (c)

    \(\sqrt { 10 } \)

    (d)

    \(\sqrt { 2 } \)

  34. The point whose abscissa is 5 and lies on the x-axis is__________

    (a)

    (-5, 0)

    (b)

    (5,5)

    (c)

    (0,5)

    (d)

    (5,0)

  35. The distance between the points (-1, 2) and (3, 2) is____________

    (a)

    \(\sqrt{14}\)

    (b)

    \(\sqrt{15}\)

    (c)

    4

    (d)

    0

  36. The diagonal of a square formed by the points (1, 0), (0, 1), (-1, 0) and (0, - 1) is_______________

    (a)

    2

    (b)

    4

    (c)

    \(\sqrt{2}\)

    (d)

    8

  37. Answer ALL Questions

    14 x 1 = 14
  38. Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
    18 _______ B.

    ()

    \(\notin \)

  39. Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
    4 _____ B.

    ()

    \(\in \)

  40. If A ⊆ B, then A - B is __________

    ()

    Ø

  41. If n(A) = 50, n(B) = 35, n(A ⋂ B) = 5, then n(A U B) is equal to

    ()

    80

  42. If A and B are two finite sets such that n(A - B) = 30, n(A UB) = 180, then n(B) is ___________

    ()

    150

  43. The value of \(3\sqrt { 3 } +\sqrt { 3 } \) is ______________.

    ()

    \(4\sqrt { 3 } \)

  44. If \(\sqrt { 10 } \)= 3.1622, then the value of is \(\frac { 1 }{ \sqrt { 10 } } \) is_________.

    ()

    0.31623

  45. The diagonals of a rhombus bisect each other at ________

    ()

    right angles

  46. All angles of a rectangle are equal and are _______

    ()

    right angles

  47. All sides of a ______ are equal and all angles are right angles.

    ()

    square

  48. A square has sides of equal length and angles of equal measures, so it is not a ______ polygon.

    ()

    regular

  49. The abscissa of the origin is ____________

    ()

    0

  50. The ordinate of every point on the x-axis is________________

    ()

    0

  51. The abscissa of every point on y-axis is______________

    ()

    0

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