Term I - Model Question Paper

9th Standard

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Mathematics

Time : 01:00:00 Hrs
Total Marks : 100

    Part A

    10 x 1 = 10
  1. The set P = {x | x ∈ Z , –1 < x < 1} is a

    (a)

    Singleton set

    (b)

    Power set

    (c)

    Null set

    (d)

    Subset

  2. Number of subsets in set A = {1,2,3} is ________

    (a)

    3

    (b)

    6

    (c)

    8

    (d)

    9

  3. The set {x: x ∈ A, x ∈ B, x ∉ A ∩ B} is___________.

    (a)

    A ∩ B

    (b)

    A U B

    (c)

    A - B

    (d)

    A Δ B

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

    (a)

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

    (b)

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

    (c)

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

    (d)

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

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

    (a)

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

    (b)

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

    (c)

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

    (d)

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

  6. The product of the polynomials p(x) = 4x –3 q(x) = 4x + 3

    (a)

    1 – x – 8

    (b)

    16x2 – 9

    (c)

    18x3 + 12x2 – 12x – 8

    (d)

    18x3 – 12x2 + 12x + 8

  7. It is not possible to construct a triangle when its sides are

    (a)

    8.2 cm, 3.5 cm, 6.5 cm

    (b)

    6.3 cm, 3.1 cm, 3.2 cm

    (c)

    7 cm, 8 cm, 10 cm

    (d)

    4 cm, 6 cm, 6 cm

  8. 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

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

    (a)

    Square

    (b)

    Equilateral triangle

    (c)

    Regular hexagon

    (d)

    Regular octagon

  10. The centre of a circle is (0, 0). One end point of a diameter is (5, -1), then ______________

    (a)

    \(\sqrt{24}\)

    (b)

    \(\sqrt{37}\)

    (c)

    \(\sqrt{26}\)

    (d)

    \(\sqrt{17}\)

  11. Part B

    10 x 2 = 20
  12. List the set of letters of the following words in Roster form.
    CZECHOSLOVAKIA

  13. Identify the following sets as null set or singleton set.
    B = The set of all even natural numbers which are not divisible by 2

  14. Represent U= {1,2,3,4,5,6,7,8,9,10} A = {1,2,4,6,8,10} and B = {3,6,1,10} in venn-diagram, then find (i) (A UB)' (ii) (A ∩ B)'

  15. Without actual division classify the decimal expansion of the following numbers as terminating or non-terminating and ·recurring.
    \(7\over 16\)

  16. Find the roots of the polynomial equations: 10x + 9 = 0

  17. Identify which ones are parallelograms and which are not.

  18. Identify which ones are trapeziums and which are not.

  19. In the given diagram PQRS is a parallelogram.
    ㄥS = 4x - 60, ㄥQ = 30 - x. Find the angles of P and R.

  20. Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure? (0,–4) (0,–2) (0,4) (0,5)

  21. Part C

    10 x 3 = 30
  22. Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?

  23. From the venn-diagram, list the following:

    (i) A
    (ii) B
    (iii) A ∩ B
    (iv) AU B
    (v) A-B
    (vi) B-A
    (vii) (A - B) ∩ (B - A)

  24. Express the following decimal expression into rational numbers -5.132

  25. Express the following decimal expression into rational numbers \(0.\overline { 0001 } \)

  26. Study the following pattern and write the algebraic expression
    (i)  

    Shape Number 1 2 3 4 5
    Number of matchsticks 4 7 10 13 16

    (ii)

    Shape Number 1 2 3 4 5
    Number of Square Boxes 1 4 7 10 13
  27. What must be subtracted from \({ y }^{ 4 }+{ 2y }^{ 3 }-3y+8\quad to\quad get\quad { y }^{ 4 }-{ 2y }^{ 3 }+6?\)

  28. In the figure, AB is parallel to CD, find x

  29. In the figure find x0 and y0.

  30. Determine whether the given set of points in each case are collinear or not (a,–2), (a,3), (a,0)

  31. Three vertices of a rectangle are (3, 2), (-4, 2) and (-4, 5). Plot the points and find the coordinates of the fourth vertex.

  32. Part D

    7 x 5 = 35
  33. Find any two rational numbers between 2.2360679….. and 2.236505500….

  34. Classify the following polynomials based on their degree.

  35. In the given Fig, ∠A = 64° , ∠ABC = 58°. If BO and CO are the bisectors of ∠ABC and ∠ACB respectively of ΔABC, find x° and y°.

  36. Diagonal AC of a parallelogram ABCD bisects ㄥA. Show that
    (i) it bisects ㄥC also (ii) ABCD is a rhombus.

  37. Locate the points
    (i) (2,–5) and (–5, 2) (ii) (–3, 4) and (4,–3) in the rectangular coordinate system

  38. Show that the given points (1, 1), (5, 4), (-2, 5) are the vertices of an isosceles right angled triangle.

  39. Part E

    5 x 1 = 5
  40. Consider the set A = {Ashwin, Muralivijay , Vijay Shankar, Badrinath }.
    Fill in the blanks with the appropriate symbol \(\in \) or \(\notin \).
    Badrinath ______A.

    ()

    Badrinath \(\in \) A.

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

    ()

    80

  42. The rational number equivalent to \(\frac { 5 }{ 9 } \) such that its numerator is 25 is____________ .

    ()

    \(\frac { 25 }{ 45 } \)

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

    ()

    square

  44. The abscissa of the origin is ____________

    ()

    0

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