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

(ii)

 Shape Number Number of Square Boxes 1 2 3 4 5 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 $\in$ 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