Download Class: IX Std - Vijaya Vittala Vidyashala

Time: 3 hours
FIRST TERMINAL EXAMINATION SEPTEMBER -2011
Class & section: IX____
Roll No:_____________________
Marks Obtained:
Name of the Student____________
Total Marks: 100
Signature of the invigilator:_______
Mathematics
Signature of the evaluator:_____
__________________________________________________________________________
I. Fill in the blanks
1x6=6
1. The mixed surd form of 3 16 x 3 y is ___________________________________________________
2. The number which has no multiplicative inverse is __________________________________________
3. If A = {1, 2, 3} B ={2, 3, 4} C= {3, 4, 5, 6} then (A―B)  (B―C) is ____________________________
4. If one factor of 7 ab+3a is ‘a’, then the other factor is _________________________________________.
5. The product of (2p+5)(4p2―10p+25) is ___________________________________________________
6. The L.C.M. of 6a  b 3 , 8 x 2 a  b 3 ,10 x 3 a 2  b 2  is ________________________________________
II. Choose the correct answer:
1 x 14=14
1. In a Square matrix, all other elements except the principal diagonal elements are equal to zero. Such
a matrix is _______________[ A scalar matrix, An Identity matrix, A Diagonal matrix, A symmetric matrix]
xy xy 2 ,
xy 3 ,
2. The Surd form of x 2 y 3  2 is ______________________ [ x xy 3 ,
xy y ]
4
2
3. The Square root of 2  3 is_____________________________________________[12, 16, 27, 36]
1
4. The multiplicative inverse of 3  5 is ______________ [
1
3 5
1
,
3 5
,
3 5,
5 3 ]
5. A decimal fraction is multiplied by itself. If the product is 37.0881, then the no. is ______________________
[6.01,
6.09,
6.31,
6.19 ]
|
|
6. In the figure, the shaded region represents __________________[ P  Q, P  Q , P  Q , P  Q ]
1
1
7. The correct form of expressing 5 , 5(2) 3 , 5 7 , 5
2
[ 3 52 , 3 2  5, 7 5, 4 5 ,
3
3
1
4
5 2 ,53 2 , 7 5 , 4 5 ,
in Surd form_________________________________
53 , 3 5  3 , 5 7 4 5 ,
3
5 2 ,53 2 2 ,5 7 , 4 5 ]
x  2
 0
is a skew symmetric matrix _______________________[ 1, 3, ―1 , ―3 ]
0 
2 x  1
9. The co-efficient of x 2 in x  2 x  4x  6 is ______________________________ [ ―12, 12, 8, 16 ]
8. The value of x : if 
10. H.C.F. of a 2  b 2 , and a 2  2ab  b 2 is _______________________ [ a  b , a 2  b 2 , a  b 2 a  b ]
11. The factors of 8 x 2 b 2  6b 2  4 x 2  3 are __________________________________ [ 4 x 2  3 & 2b 2  1 ,
4 x 2  1 & 2b 2  3, 4 x 2  3 & 2b 2  1 4 x 2  3 & 2b 2  1 ]
12. L.C.M. of 4 x 2 y 3 z 2 , 8 x 3 y 3 z 3 , 12 x 4 y 2 z is _______________ [ 4 x 2 y 2 z , 24 xyz , 24 x 3 y 3 z 3 , 24 x 4 y 3 z 3 ]
13. When 12 x 3 y 3 is divided by 4 x 2 y then the quotient is __________________[ 3 xy , 3xy2 , 3x 2 y , 3x 5 y 4 ]
14. Factorized form of
2
 y2 
x
3   27 2 
 y
z 
 3x
27 y  3x
27 y  ,

 y  z 

 y  z 




is __________________[
 x 3 y  x 3 y  ,  x 3 y  x  3 y  ,
 
  


3 
z  y
z   y
z  y  z 
y
3y 
 x  3 y  x





z 
 x  z  y

. Answer the following:
2 x 13 =26
3
3
15. Identify and write the like surds 20 , 125 , 45 , 8 , 2 , 54 , 32
16. Find the least number which must be added to3479 to make it a Perfect Square.
17. If A  {x x is a natural no. and 1< x < 8 } B= {x x is a factor of 6}. Find A  B and draw Venn diagram.
18. Give an example for : i) Symmetric matrix of Order 3 x 3
ii) Scalar matrix of Order 2 x 2
|
Q={2, 4, 6, 8 }. Find (P–Q) represent it by Venn diagram.
1
1
1
20. Verify Associative Property of Multiplication if p  , q  , r  .
2
4
8
2 2
4 3 3
2
4
2
21. Divide 8a b c  3a b c  6a bc by 6a bc .
22. Find the H.C.F. of 2a 2  8, 4a 3  32
19.If U = {1, 2, 3, 4, 5, 6, 7, 8, 9 } P = {2, 3, 5, 7}
23. If x  y  5 and xy  10 . Show that
x3  y3
3
x2  y2
24. Factorize the following: i) 9b 2  19bd  24d 2
iii) 2 p  3q 2  82 p  3q   16
25. Find the L.C.M of 5 p 2  16, 3 p 3  64 .
Do as directed:
26. Represent 6 on the number line.
27. Find the Square root 474368400 by division method.
28. Simplify : x  p 3  x  p 3
29. Find the H.C.F and L.C.M of x 2 
ii) x 2 a  b   y 2 a  b 2  z 2 a  b 3
3 x 5 = 15
1 2
1
1
3
, x  2  2 , x 3  3  3x 
2
x
x
x
x
30. Find the product of 103, 102 and 98 using suitable Identity.
Solve:
31. Find the value of x and state the property used.
a. x5  11  65  143
c. 0.05  x  0
1x4=4
1
3
1
5
1
8
1 
3 
1
8
b.        p  
d. 5  8 14  x  5  8
GEOMETRY
I. Choose the correct answer and write:
1x6=6
1. If the exterior and interior angles of a regular polygon are in the ratio 1:3, the polygon is ________________
[Hexagon,
Octagon, Pentagon,
decagon]
2. The altitudes of the parallelogram is 1 3 of its base and area is 27 cm2, then the measure of altitude is
________________________________________________________ [9 cm, 6 cm, 3cm, 12 cm ]
3. Four angles of a quadrilateral are in the ratio 9:5:7:3. The least angle is ________ [ 750, 1050, 550, 450 ]
4. ABCD is a trapezium and  A= 3  D, then  A=________________ and  D = ____________________
[ 1200, 600, 1080, 720 ,
1350, 450,
1250, 550 ]
5. In a parallelogram if diagonals are equal and adjacent sides are unequal, the figure is called ____________
and if diagonals are unequal and adjacent sides are equal, the figure is called ______________________
[Square, Rhombus, Rectangle, Rhombus, Rectangle, Square, Rhombus, Rectangle]
6. In a parallelogram ABCD, AB=50 cm, AD=25 cm, distance between shorter sides is 7 cm , then the distance
between longer sides is _________________________ [ 35 cm, 14 cm, 7 cm, 3.5 cm ]
Fill in the blanks:
1x3=3
2
7. Area of a quadrilateral is 180 cm and the altitudes on the diagonal are 12 cm and 8 cm, then the length
of the diagonal is _______________________________________________________________________.
8. In a Square ABCD, AB  2x  3 and BC  3x  5 , then x  ____________________________________
9. The adjacent sides of the parallelogram are in the ratio 3:5 and its perimeter is 48 cms, then the sides
are ___________________________ and _____________________ cms.
Do as directed:
2 x 6 = 12
10. Inscribe a regular Octagon in a circle of radius 3 cms.
11. The angles of a pentagon are x 0 , x  5 0 , x  7 0 , 2 x  22 0 and 2 x  35 0 , calculate x .
12. In a parallelogram ABCD, the bisectors of  A and  B meet at P. Find  APB.
13. A parallelogram and a triangle have equal areas, the base of the parallelogram is twice that of triangle.
What is the ratio of their altitudes?
14. Construct an isosceles trapezium ABCD with AD ll BC, BC=9 cms,  B=700, AD = 5 cm. Measure CD.
15. Show that each diagonal divides the parallelogram into two congruent triangles.
Solve the following:
3x2=6
16. Construct a quadrilateral ABCD, AB=5.6 cms, BD= 9cms, BC=4.5 cms ∟B=550 and ∟C=1050.Measure the diagonal
AC.
17. The sum of interior angles of a polygon is 7200. Two angles are right angles. One angle is 1200 and
the remaining angles are equal. Find the equal angles.
Solve the following
4x2=8
18. The diagonals of a rhombus are in the ratio 3:4. If the area of the rhombus is 384 sq.mts, then what is
the perimeter of the rhombus?
19. Prove that the diagonals of square bisect each other perpendicularly.
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