#### Important 2 Mark Test - 1st Term

9th Standard

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 70
35 x 2 = 70
1. Write the set of letters of the following words in Roster form
ASSESSMENT

2. If A = {1,2,3,4,5,7,9,11}, find n(A).

3. If A = {6, 7, 8, 9} and B={8, 10, 12}, find A Δ B.

4. Draw a Venn diagram similar to one at the side and shade the region representing the following sets

(A ∪ B)′

5. In a class, all students take part in either music or drama or both. 25 students take part in music, 30 students take part in drama and 8 students take part in both music and drama. Find
(i) The number of students who take part in only music.
(ii) The number of students who take part in only drama.
(iii) The total number of students in the class.

6. Which of the following are sets?
The Collection of all rivers in India.

7. Represent the following sets in set builder form.
E = The set of odd Whole numbers less than 9.

8. Identify the following sets as finite or infinite.
Y = The set of all straight lines passing through a point.

9. Which of the following sets are equivalent or unequal or equal sets?
C = {2,3,4,5}
D = { x : x ∈W, 1< x<5}

10. Write down the power set of the following sets.
E = ∅

11. Using the given Venn diagram, write the elements of
A∩B

12. 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. B′

13. 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. (B′)′

14. Express the following in the form  ${p\over q},$  where p and q are integers and q $\ne$ 0.
$0.2\overline{45}$

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

16. Which of the following expressions are polynomials. If not give reason:  $\frac { 1 }{ x } (x+5)$

17. Write the coefficient of xand x in each of the following polynomials $\sqrt { 3 } { x }^{ 2 }+\sqrt { 2 } x+0.5$

18. Verify whether the following are zeros of the polynomial indicated against them, or not.
p(x) = (x+3) (x-4), x=-3, x=4

19. Find the number of zeros of the following polynomials represented by their graphs.

20. By remainder theorem, find the remainder when, p(x) is divided by g(x) wherep(x) = x3-2x2-4x-1 g(x)=x+1

21. By remainder theorem, find the remainder when, p(x) is divided by g(x) where
p(x)=27x3-54x2+3x-4 g(x)=1-$\frac{3}{2}x$

22. Subtract 5x2 - 4y2 + 6y - 3 from 7x2 - 4xy + 5y2 + 5x - 3y.

23. Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
70°

24. Find the value of x

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

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

27. Procedure: Cut off a quadrilateral ABCD in a paper with prescribed dimensions. Mark the mid points P, Q, R and S of the sides AB, BC, CD and DA respectively. By folding the sides appropriately cut off the quadrilateral PQRS. Fold the quadrilateral (i) Does PQ lie on SR? similarly fold the other way and verify QR lies on PS.
Observation
(i) What do you conclude?
(ii) Name the resulting figure?
Draw the following quadrilaterals and join the mid points of all its sides. Find the resultant shape and complete the table.

 Name of the quadrilateral Shape obtained by joining the midpoints Parallelogram Rectangle Square Kite Trapezium Rhombus
28. In the given diagram PQRS is a parallelogram.
ㄥS = 4x - 60, ㄥQ = 30 - x. Find the angles of P and R.

29. Plot the following points in the coordinate plane. Join them in order. What type of geometrical shape is formed? (–3,3) (2,3) (–6,–1) (5,–1)

30. Plot the points A( -1,0), B( 3, 0), C(3, 4), and 0(-1, 4) on a graph sheet. Join them to form a rectangle. Draw the mirror image Of the diagram in clockwise direction: