Creative Questions

9th Standard

    Reg.No. :
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Maths

Time : 02:00:00 Hrs
Total Marks : 55

    Section-A

    10 x 1 = 10
  1. 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

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

    (a)

    overlapping sets

    (b)

    disjoints sets

    (c)

    equivalent sets

    (d)

    equal sets

  3. The shade region with adjoint diagram represents ___________

    (a)

    A - B

    (b)

    B - A

    (c)

    A'

    (d)

    B'

  4. If a number has a non-terminating and non-recurring decimal expansion, then it is______________ .

    (a)

    a rational number

    (b)

    a natural number

    (c)

    an irrational number

    (d)

    an integer

  5. Which of the following are irrational numbers?
    \(\sqrt { 2+\sqrt { 3 } } \)
    \(\sqrt [ 3 ]{ 5+\sqrt { 7 } } \)
    \(\sqrt { 8-\sqrt [ 3 ]{ 8 } } \)
    \(\sqrt { 4+\sqrt { 25 } } \)

    (a)

    (ii), (iii) and (iv)

    (b)

    (i), (ii) and (iv)

    (c)

    (i), (ii) and (iii)

    (d)

    (i), (iii) and (iv)

  6. Which of the following is a monomial?

    (a)

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

    (b)

    \(a+b\)

    (c)

    \(a+b+c\)

    (d)

    \(a+b+c+d\)

  7. if a polynominal p(x) is divided by (ax+b), then the reminder is _______________________

    (a)

    \(p\left( \frac { b }{ a } \right) \)

    (b)

    \(p\left( -\frac { b }{ a } \right) \)

    (c)

    \(p\left( \frac { a }{ b } \right) \)

    (d)

    \(p\left( -\frac { a }{ b } \right) \)

  8. The angle sum of a convex polygon with number of sides 7 is ________

    (a)

    900°

    (b)

    1080°

    (c)

    1444°

    (d)

    720°

  9. 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

  10. On which quadrant does the point (- 4, 3) lie?

    (a)

    I

    (b)

    II

    (c)

    III

    (d)

    IV

  11. Section-B

    5 x 1 = 5
  12. A is a proper subset of B, then A U B = ______________

    ()

    B

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

    ()

    150

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

    ()

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

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

    ()

    right angles

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

    ()

    0

  17. Section-C

    6 x 2 = 12
  18. In a class of 50 students, each of the students passed either in mathematics or in science or in both. 10 students passed in both and 28 passed in science. Find how many students passed in mathematics only

  19. Let U= {x : -3 : << 4} A = {-1,2,3} B = {0,1,2,3} C = {-3;-2,-1,0,1,2}. Find (i) A' UB' (ii) (A ∩ B)' (iii) (A ⋂ C)'

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

  21. Without actual division classify the decimal expansion of the following numbers as terminating or non-terminating and ·recurring.
    \(13\over 150\)

  22. Twice the area of a right angled triangle 15x2 + 19x + 6 sq. units. If its altitude is 5x + 3 units, find its base in terms of x.

  23. Simplify 3y(2y - 7) - 3 (y - 4) - 63 and evaluate when y =-2.

  24. Section-D

    4 x 3 = 12
  25. Given that A = {1,3,5,7} B = {1,2,4,6,8}. Find (i) AΔB and (it) BΔA

  26. In a class there are 40 students. 26 have opted for Mathematics and 24 have opted for Science. How many student have opted for Mathematics and Science.

  27. What must added to \({ x }^{ 4 }-3x^{ 2 }+2x+6\quad to\quad get\quad { x }^{ 4 }-2x^{ 3 }-x+8?\)

  28. The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral.

  29. Section-E

    3 x 5 = 15
  30. Represent \(-\frac { 2 }{ 11 } ,-\frac { 5 }{ 11 } and-\frac { 9 }{ 11 } \)on the number line.

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

  32. Find the type of triangle formed by (-1, -1), (1, 1) and (\(-\sqrt{13},\sqrt{13}\))

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