Karnataka Board Class 10 Math Previous Year Question Papers 2011

KARNATAKA BOARD PREVIOUS PAPER 2011
CLASS 10
MATH

General Instructions :
i) The question-cum-answer booklet contains two Parts, Part – A & Part – B.
ii) Part – A consists of 60 questions and Part – B consists of 16 questions.
iii) Space has been provided in the question-cum-answer booklet itself to answer
    the questions.
iv) Follow the instructions given in Part – A and write the correct choice in full in
     the space provided below each question.
v) For Part – B enough space for each question is provided. You have to answer
    the questions in the space provided.
vi) Space for Rough Work has been printed and provided at the bottom of each page.

PART – A

Four alternatives are suggested to each of the following questions / incomplete
statements. Choose the most appropriate alternative and write the answer in the
space provided below each question.
60 × 1 = 60

1.In the sets, ( A U B ) U C = A U ( B U C ) . This statement represents
(A) commutative property in the union of sets
(B) associative property in the union of sets
(C) distributivity of union over intersection
(D) distributivity of intersection over union.

2.Universal set U = { 2, 3, 5, 6 , 10 }, subset A = { 5, 6 }. The diagram which
represents A / is
(A) (B)
(C) (D)


3.In a class of 60 students 22 of them play volleyball, 12 of them play both volleyball
and kho-kho, 17 of them do not take part in any of the games. The number of
students who play only kho-kho is
(A) 32 (B) 28
(C) 33 (D) 21.

4.The general term of Geometric Progression is
(A) T  n = a + ( n – 1 ) d (B) T  n = ar n – 1
(C) T  n = 1 (D) T  n = ar n – 1.
            a + ( n – 1 ) d

5.A person continuously places 3 marbles in first box, 5 in second box, 7 in third box
etc. The number of marbles that he places in sixteenth box is
(A) 66 (B) 33
(C) 31 (D) 35.

6.If 11, 13, 15, 17, 19, ............ is an Arithmetic Progression, then the terms in
Harmonic Progression are
(A) 1, 2, 3, 4, .......... (B) 1, 3, 5, 7, .........
(C) 1 (D) 1
  

7.If 3, x, 7 are in Harmonic Progression then the value of x is
(A)21/5
(B)21
(C) 5
(D) 5

8.A is a matrix. If A = A  / then the matrix is a
(A) scalar matrix (B) skew symmetric matrix
(C) unit matrix (D) symmetric matrix.

9.    0       5 

If B =   
 x + 6    0  
is a skew symmetric matrix, then the value of x is
(A) 0 (B) 5
(C) – 1 (D) – 11.

10.If matrix A = [ 1    1 
3 ] , B =   2  then the order of A × B is   3 
(A) 1×3 (B) 3×1
(C) 1×1 (D) 3 × 3.

11.The formula to find the sum to n terms of Geometric series is
n ( n + 1 )
[ n  2 + 1 ]
a ( 1 – r n )
r n – 1


13.The graph of y = 3 is a straight line
(A) passing through origin
(B) perpendicular to x-axis
(C) parallel to x-axis and passing through 3 on y-axis
(D) parallel to y-axis and passing through 3 on x-axis.

14.Coefficients of variation of Bhavana and Rashmi are 8·5 and 12·8 respectively. Which
of the following is a correct statement ?
(A) Bhavana is more consistent than Rashmi
(B) Rashmi is more consistent than Bhavana
(C) Bhavana and Rashmi both are equally consistent
(D) Bhavana and Rashmi are not consistent.

15.If P r = 60 then the value of r is
(A) 2 (B) 3
(C) 5 (D) 60.

16.The nature of the roots of the equation x 2 – 5x + 6 = 0 is
(A) real and distinct (B) real and equal
(C) imaginary (D) equal.

17.The L.C.M. of 8x 3 – 1 and 4x 2 + 2x + 1 is
(A) ( 2x – 1 )  3 (B) 8x 3 – 1
(C) 2x – 1 (D) 4x 2 + 2x + 1.

18.Expanded form of   ∑ x  2 is xyz
(A) x 2 + y  2 (B) x 2
(C) x 2 + y  2 + z  2 (D) x 2 + z  2

19.Which of the following is in cyclic with x, y, z variables ?
(A) x 2 + xy (B) x 2 + z  2 + xz + yz
(C) x 2 + y  2 + z  2 (D) x 2 + y  2 + xy + yz.

20.The angle formed by the radius at the point of contact with a tangent is
(A) 30 ̊ (B) 180 ̊
(C) 90 ̊ (D) 60 ̊.

21.The radii of two circles are R and r. The distance between their centres is d. If
d = R + r, then the number of transverse common tangents that can be drawn is
(A) 4 (B) 1
(C) 2 (D) 3.


22.In a right-angled triangle ABC, if ∠ CAB = 90 ̊, which of the following is correct ?
(A) BC 2 = AC 2 + AB 2 (B) AC 2 = AB 2 + BC 2
(C) AB 2 = BC 2 + AC 2 (D) BC 2 = AB 2 – AC 2 .

23.If the two circles of radii 9 cm and 4 cm are touching internally, then the distance
between their centres in cm is
(A) 13 (B) 36
(C) 8 (D) 5.

24.In two concentric circles of radii 6 cm and 10 cm with centre O, OP is the radius of
the smaller circle. OP ⊥ AB, AB cuts the outer circle at A and B, then length of AB is
(A) 8 cm (B) 16 cm
(C) 4 cm (D) 20 cm.

25.Revolution of a semicircle about a fixed diameter is a solid called
(A) sphere (B) cone
(C) cylinder (D) cuboid.