#### Term I - Important One Mark Question Paper

9th Standard

Reg.No. :
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Mathematics

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

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

(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)

(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

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