Download Choose the correct answer - Vijaya Vittala Vidyashala

Class & section: VIII___
FINAL EXAMINATION MARCH -2012
Roll No: _____________________
Name of the Student: ______________
Signature of the invigilator: ________
Time: 3hours
Marks Obtained:
Total Marks: 100
Signature of the evaluator: ______
MATHEMATICS
I. Multiple choice questions:
20 X 1
= 20
1. The price quoted on an article for sale is __________________[Selling price, Cost price, Marked price,
Discount]
2. The statement “if 13 is taken away from one-fifth of a number, the result is IQ” mathematically written as
1
x
 13 x  12 ,
 13  12 , 13x  1  1Q ]
__________________________ [ 13  x ,
5
5
5
5
3. A bank run by the students for the student is _____________________ [Nationalized Bank, Co-operative
Bank,
Sanchayika, Private Bank]
4. Among the following irrational number is _______________________[ 3 2 , 16  25 , 5 , 4 ]
6
25
3x  5 1
 is __________________ [-1, -2, 0, 2]
5. The value of x in
2x  1 3
6. Which of the following statement is true ____________________________________________
b
a b  a  b ,
a.b  a  b ,
[ ab  a  b ,
]
a b 
a
7. If 2% commission is given on Rs.1000, then the amount of commission is Rs._________[ 100, 2, 200, 20]
8. 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) ]
9. The point A(0,3) lies on _________________________ axis. [  ve x ,
 ve x ,  ve y ,  ve y ]
10. The mean of 7, 9, 10, 12 and 15 is _____________________________[11.6, 10.6, 10,
11]
4
11. 0.0003416 is scientifically denoted as __________________________[ 3.416  10 , 3.416  10 4 ,
0.3416  10 4 ]
0. 3416  10 4 ,
12. The product of repeated factor is called the _______________ of the factor. [base, power, index,
multiple]
13. The missing term to make 16a 2  ___________  ab 2 a perfect square is ___________________________
[  12ab ,
 12ab , 24ab ,
36ab ]
In the figure l1 and l 2 intersect at ‘0’, then the value of x is _________________
14.
[800,
200,
1000
160 ]
15. In the figure ABCD


D A C = __________ [ B A C ,

AC D ,

AC B ,

ABC ]

In the figure ABC  PQR then A = __________[ P , Q , R ,
None of the above]
17. Which of the following statement is correct?
[a. only two lines can be drawn through a point
b. The whole is lesser than its part,
c. angle at a common and point of two opposite rays is
0
180 ,
d. If equals are added to unequal wholes are equal]
_______________________________________________
16.
18. Complete the statement “If a transversal intersect two parallel lines, then a pair of corresponding
angles are _______________________ [complementary, are supplementary, equal, equal to
360 ]
19. The centriod divides the median in the ratio ______________________[2:3, 2:1, 1:2, 1:1]
20. Which of the following forms a linear pair____________________
0
a.
b.
c.
d.
II. Fill in the blank with correct answer:
10 x 1 = 10
21. The simple interest for Rs.2450 at 3% for 6 months is ________________
22. Varun’s father age is thrice as old as Varun if the father’s age is 45 yrs, then the Varun’s
age is _________________
23. The 3 consecutive even numbers whose sum is 162, then the numbers are _________________
 4 5 6
24. The order of the matrix A  
 is ______________________
7 8 9 
25. The number which do not have multiplicative inverse is _________________________
26. The n 2 form of 9801 is ____________________________
27. The mid point of the class interval 60-69 is _______________________
28. In a right angled triangle, if
29.

A B C  90 0 then the longest side of the triangle is __________
Which axiom can be stated based on the given example?
30. Define ‘centroid’.
III. Do as directed:
18 x 2 = 36
2 2
31. Find H C F and L C M of 9xy, 12 x y & 15xz .
32. Find the least number by which 700 must be multiplied to make it a perfect square.
33. A company sells a sewing machine for Rs.3520 by allowing discount at 12%. Calculate the
Marked Price.
34. Find the co-efficient of x 2 and x in (3 x +2)(3 x + 4 y ) .
35. What is a matrix? Give an example for a matrix of order 2 3 .
36. Solve graphically. 3x  y  6 (Separate graph sheet enclosed).
37. Find the square root of 3025 by factor method.
38. Factorize (1) x 2  8 x  15
(2) 6a 2 b  15ab 2
39. Find the product of 2 x  5 y  9 z 2 using suitable Identity.
40. Distinguish between S.B. account and Current account.
41. Find the Simple Interest for Rs.1500 at 4% for 3½ months. Given the interest for Rs.500 per
month
is Rs.1.6667.
42. Define rational numbers and prove the closure property over addition with an example.
43. The Arithmetic mean of 6, 8, 5 7 x and 4 is 7. Find the value of x .
44.
In the figure l 2 stands on l1 and a  b  40 . Find the value of a &b.



AB is a straight line OB bisects P O Q . Show that A O P  A O Q.
45.
46.
In the figure AB and CD bisect each other at ‘0’ show that AC=BC.
47.
In the adjoining figure, find value of ‘ x ’ and measure of A O B and A O C.

48.
In the given figure PQR  ABC
IV. Solve the following:
49. Verify the associative Property over addition for the Rational numbers. 1 2 ,

6 x 3 = 18
1 , 2 .
5
4
2
2
2
50. Subtract the sum of 8m  7n  6 p  and  3m  4n  p  from the sum of 2m  4n  3 p  and
 m  n  p .
2
 x   x x   x x 
a
51. Prove that x
a b
b
bc
b
c
ca
c
a
=1
52. The volume of a cube is 9261 cm3. Calculate the length of its side and find the area of one of its
faces.
53.
ABC is an isosceles triangle. AB=AC, and AP= AQ. Show that BQ=CP.

54.
AB and CD intersect at ‘O’ perpendicularly. OX bisects A O C and OY
bisects
V. Answer the following:
4 x 4 = 16
2
2
2
55. Factorize:
(1) 5 x  16 x  21
(2) 3a  11ab  6b
56. Calculate the mean, and median:
Scores
2
7
12
17
22
27
32
37
Frequency 2
4
6
10
7
6
3
2
0
57. In any triangle, the sum of three interior angle is 180 . Prove this theorem logically.
58. Construct equilateral triangle ABC with sides 5 cms each and draw circum-circle to it.
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Class & section: IX ___
FINAL EXAMINATION MARCH -2012
Time: 3 hours
Roll No :_____________________
Marks Obtained :
Name of the Student :______________
Total Marks : 100
Signature of the invigilator : ______
MATHEMATICS
Signature of the evaluator :______
Choose the correct answer:
20x1=20
1. In post office the monthly minimum balance is called _______________________________.
a) Product b) Principle c) Amount d) Interest bearing balance.
2. The number for which the reciprocal is itself is ________________. [ a) 0 b) 1 c) ½ d) 0.1 ]
3. If P= { 2,3,4,5} Q= { 4,5,6,8 } then Q-P is ___________ [ a) {2,3} b) {4,5} c) {2,3,4,5,6,8 }, d) {6, 8}]
4. The word drawer refers to _______________________[a) Account holder b) The person to whom the
cheque is payable c) The bank d) Manager
x 2  x 3 = 3 x  5 x 2  , This statement shows ___________________ property
3
7
2
2
3
7
a) Associative property b)Distributive property c) communicative property d) binary operation
6. The number which has no multiplicative inverse is ________________. [ a) 0 b) 1 c) -1 d) 3 ]
5.

5
7. If a+2b = 10 , ab=15 then a 3  8b 3 = _________________________ [a) 900. b) 100 c) 550
d) 990.
8. Which of the following expressions has their H.C. F as 1__________________________________
a) a  b 
2
a
2
 b2


b) a 2  b 2
 a
2



 b 2 c) a  b  a 2  b 2 d) a  b 
2
2
b  a
9. LCM of 5 x 2 y 2 , 10 y 2 z 2 , 15 x 2 z 2 , y 2 is ______________ a) 30 x 2 y 2 b) 15 x 2 y 2 z 2 c) 5x 2 y 2 z 2 d) 30 x 2 y 2 z 2 z 2
10. Which of the following is not B.O on the given set
a) a  b = a+b+2 a, b  N b) a  b = a-b a, b  N c) ) a  b = a  b a, b  N d) a  b = HCF of a, b  N
11. The trinomial which cannot be factorized _______________________________________
a) x 2  x  6
b) x 2  7 x  6
c) x 2  x  6
d) x 2  5 x  6
12. Which of the following is not in the form of a 3  b 3 is _______________________________
a) 8  x 6 b) 27x 3  y 3 z 4 c) x 4  xy 6 d) x 3 -8(b-c) 3
13. The co-ordinates of the origin are _________________________a) (x,0) b) (0, y ) c) (0.x) d) (0,0)
14, The diagonals bisect at right angles in _______________ and _________________________
a) square, Rhombus b) square parallelogram c) Rhombus , Rectangle d) square Rectangle
15. In an inscribed regular hexagon each interior angle is ___________________ the central angle
a) equal b) twice c) four times d) half
16. The volume of cubical box whose T. S. A is 600cm 2 = ______ cm 3 a) 2500 b) 1000 c) 900 d) 1100
17. In Parallelogram ABCD ‘P’ is the midpoint of BC. DP and AB are Produced to meet at Q. AQ= ______
a) 2CP
18 .
b) 2 AB
c) 2AD
d) 2DP
ABCD is a Cyclic quadrilateral if
CBF  130, EDC  ___________________
a) 130 0 b) 65 0 c) 50 0 d) 40 0
19 . In ABC P , Q , and R are the midpoints of AB, BC and AC respectively which of the following
Statement is correct ________________________________ a) Area of ABC = Area of PQR
b) Perimeter of ABC = Perimeter of PQR c) Area of a PQR is half the area of ABC
d) Perimeter of a ABC is twice the Perimeter of PQR
In the figure if ‘O’ is the centre . OP  AB OQ  CD and OP = OQ then
a) AB > CD b) AB =CD c) AB < CD d) no relation between AB and CD
20.
II . Fill in the Blanks with correct answer:
3
21. The value of
10x1=10
64 + 3 125 + 7 is ______________________________.
22. The number to be added to x 2  6 x  7
to make it divisible by x  3 is ________________
23. If 5: x = x : 1.25 then the value of x is _______________________


 

24.The quotient of 4 x 5 z 8  8 x 4 y 4   12 x 6 y 9 z 10 is _______________________________
25.The factors of a 2  b  c  are______________________ and __________________
2
26. If a=b , b=c then a=c this indicates the property ________________________________________
27.
In the figure BOC  130 0 then BAC 
28. The area of a trapezium is 400m 2 , if the parallel sides are 15m and 17 m . its altitude is ___________
29. The angle in the major segment is always ____________________________
30. The volume of Prism is 300cc. The volume of Pyramid with same height and base as that of the
Prism is ___________________________________
Answer the following :
18x2=36
31. Find the Product of 103.102 and 98 using suitable Identity
32. Locate
5 on the number line.
33. Reduce into simplest forms and classify into set of like surds
50
45 12
20
27
34. Find the remainder when x 4  2 x 3  x  7 is divided by x  2 . without actual division
35. Find the compound interest if principle is Rs 2000. rate of interest is 10% for 2years
36. Factorise 2 x 2  27 x  63
37. Slove 5 x  3 y  7 and 3x  2 y  8
38. Find the square root of 81.5409
39. Find the HCF of x 2  x  6 x , x 2  3 x  2
40. a  b 
ab
,  a ,b  Z verify whether (z ,  ) is an algebraic structure.
2
41. Divide Rs 1750 in the ratio 12:9:4
42. If P= {2,4,6,8,10} Q= {1,2,3,4,5,6} and R= { 1,3,5,7,9,11} find (P  Q)  R
43. Inscribe a regular pentagon on a circle of radius 3.5cms.
300
44. construct rhombus ABCD having side AB= 5.5cm and diagonal AC= 7.6cm Measure the other diagonal .
45. In a circle of radius 10 cms there are two parallel chords of length 12cm and 16cms find the distance
between then when they are either side of the centre.
46. In a parallelogram ABCD . X and Y are mid points of AB and CD respectively . Prove that BYDX is a parallelogram .
Y
D
C
A
B
X
47. The sides of the base of a square based pyramid is 25cm is the volume is 900cc find the height of the pyramid .
48.
In the fig PQRS is a cycle quadrilateral PSQ  60 0 SPQ =85 0 , SOR  90 0
Find PQR
Do as Directed
4x4=16
49. The cash price of a fan is Rs 960 is is purchased by paying Rs 160 cash down and the balance is paid in 6 monthly
installment of Rs 160 each . calculate the rate of interest .
50. The entries in the S B Account pass book of a person are found to be as follows . Calculate the interest to be credited
to the account on the last day of June at 6% per annum
Sl
no
1
2
3
4
5
6
7
8
Date
Jan 3
Jan 5
March 4
March 9
March 17
April 8
April 10
April 19
Amt
Deposited
withdrawn
B/F
4000
1000
2000
2000
800
1700
500
Balance
1000
5000
4000
6000
4000
4800
6500
6000
51. Divide 2 x 3  5 x 2  6 x  5 by x  2
52. A is 25 years older than B . After 15 years A will be twice of B . Find their present ages.
53. The base of a right prism is an equilateral triangle with perimeter 12cm and the height is 5cm . Find lateral surface
Area and Total surface area .
54. i) Find the value of x
ii) A Pyramidal tent is made of canvas it occupies a square area of 100 sq ms on the ground and the height 12cm .
Calculate the air space inside the tent .
Answer the following :
55. Calculate the mean deviation from median
C.I
f
20-24
2
25-29
3
30-34
5
35-39
3
40-44
2
N=15
56. State and Prove the mid . point theorem
57. Construct a quadrilateral ABCD in which BC=7.5cm AC= AD=6cm CD=5cm BD=10cm Draw the altitude AP and CQ on the
diagonals DB and find the area of quadrilateral ABCD.
58. Solve graphically , 2 x  y  5
and 3x  y  7
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