#### Term 1 Model Question Paper

9th Standard

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Maths

Time : 02:00:00 Hrs
Total Marks : 60
5 x 1 = 5
1. If A∪B = A∩B, then

(a)

A ≠ B

(b)

A = B

(c)

A ⊂ B

(d)

B ⊂ A

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

(a)

$\frac { 5 }{ 64 }$

(b)

$\frac { 8 }{ 9 }$

(c)

$\frac { 14 }{ 15 }$

(d)

$\frac { 1 }{ 12 }$

3. The zero of the polynomial 2x+5 is

(a)

$\frac {5}{2}$

(b)

$-\frac {5}{2}$

(c)

$\frac {2}{5}$

(d)

$-\frac {2}{5}$

4. 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

5. If ( x+2, 4) = (5, y–2), then the coordinates (x,y) are _____

(a)

(7, 12)

(b)

(6, 3)

(c)

(3, 6)

(d)

(2, 1)

6. 5 x 1 = 5
7. Consider the set A = {Ashwin, Muralivijay , Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol $\in$ or $\notin$.
Muralivijay ____ A.

()

Muralivijay $\in$ A.

8. Consider the set A = {Ashwin, Muralivijay , Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol $\in$ or $\notin$.

()

Badrinath $\in$ A.

9. Consider the set A = {Ashwin, Muralivijay , Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol $\in$ or $\notin$.
Tendulkar _____ A.

()

Tendulkar $\notin$ A

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

()

$\in$

11. The coefficient of -5x is ___________

()

-5

12. 10 x 2 = 20
13. Write the set of letters of the following words in Roster form
ASSESSMENT

14. Let A = {b, d, e, g, h} and B = {a, e, c, h}. Verify that n(A – B) = n(A) – n(A∩B).

15. If U={a, b, c, d, e, f, g, h}, A={b, d, f, h} and B={a, d, e, h}, find the following sets. (A′)′

16. Using the set symbols, write down the expressions for the shaded region in the following

17. Convert the following rational numbers into decimal
(i) $3\over 4$
(ii) $5\over 8$
(iii) $9\over 25$

18. Find the roots of the following polynomial equations: 5x – 3 = 0

19. Check whether p(x) is a multiple of g(x) or not
p(x) = 2x3-11x2-4x+3 ; g(x) = 2x + 3

20. Find the value of x

21. In which quadrant does the following points lie? (3,–8)

22. Find the distance between the following pairs of points. (1, 2) and (4, 3)

23. 5 x 3 = 15
24. 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?

25. Express the following decimal expression into rational numbers. 0.86

26. Let p(x)=4x2-3x+2x3+5 and q(x)=x2+2x+4 find p(x)-q(x)

27. Find the value of k, if (x-3) is a factor of polynomial x- 9x+ 26x + k

28. Find the distance between the points (–4, 3), (2,–3).

29. 3 x 5 = 15
30. In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who
(i) like both tea and coffee.
(ii) do not like Tea.
(iii) do not like coffee

31. Construct ΔABC with AB = 5 cm ㄥB = 1000 and BC = 6 cm. Also locate its circumcentre draw circumcircle.

32. If the distance between the points (5,–2), (1, a), is 5 units, find the values of a.