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#1
January 31st, 2014, 12:34 PM
 Super Moderator Join Date: Dec 2011

Will you provide the Question Papers of SSLC Maths of Karnataka Board?

As you want to get Question Papers of SSLC Maths of Karnataka Board, so here I am providing the following Question Papers:

SSLC Maths Question Papers
I. Four alternatives are given for each of the following questions / incomplete
statements. Only one of them is correct or most appropriate. Choose the correct
alternative and write the complete answer along with its alphabet in the space
provided against each question. 20 × 1 = 20
1. If A, B and C are non-empty sets then the ‘Intersection of sets is distributive over
union of sets’ is represented as
(A) A I ( B U C ) = ( A I B ) U ( A I C )
(B) A I ( B I C ) = ( A I B ) I ( A I C )
(C) ( A U B ) U C = ( A I C ) U ( B U C )
(D) ( A I B ) U C = ( A U C ) I ( B U C )
Ans. :
3 81-E
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2. If 5 and 2 are the Arithmetic Mean and Harmonic Mean of two distinct numbers,
then their Geometric Mean is
(A) 3 (B) 7
(C) 10 (D) 10.
Ans. :
3. If A + B = 

  
2 3
4 5
and A = 

  
1 2
0 3
then matrix B is
(A) 

  
1 1
4 2
(B) 

  
1 4
1 2
(C) 

  
2 4
1 1
(D) 

  
4 2
1 1
Ans. :
4. If n C 8 = n C 5 , then the value of n is
(A) 2 (B) 3
(C) 1 (D) 13.
Ans. :
5. The H.C.F. of 5x 2 y 3 and 10x 3 y 2 is
(A) 10x 3 y 3 (B) 5x 2 y 2
(C) 5xy (D) 5x 3 y 3 .
Ans. :
81-E 4
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6. The expansion of ∑
p‚q‚ r
p 2 is
(A) p 2
q 2
r 2 (B) pqr
(C) p 2 (D) p 2 + q 2 + r 2 .
Ans. :
7. The value of ∑
a‚b‚ c
a ( b – c ) is
(A) 2 ( ab + bc + ca ) (B) ab + bc + ca
(C) 0 (D) a + b + c.
Ans. :
8. If one factor of a 3 + b 3 is ( a + b ), then the other factor is
(A) a 3 + b 3 + ab (B) a – b + ab
(C) a 2 + b 2 – ab (D) a 2 + b 2 + ab
Ans. :
9. If x y = 80 , then the value of y is
(A) 5 (B) 16
(C) 4 (D) 20.
Ans. :
5 81-E
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10. The simplified form of 10 x 3
– 8 x 3
is
(A) 18 x 3
(B) 2 x
(C) 2 x 3
(D) 18 x
Ans. :
11. If 4x =
81
x , then the value of x is
(A) – 4·5 (B) ± 4·5
(C) 4·5 (D) ± 0·45.
Ans. :
12. The quadratic equation having the roots ( ) 2 + 3 and ( ) 2 – 3 is
(A) x 2 – 4x + 1 = 0 (B) x 2 + 4x – 1 = 0
(C) x 2 – 4x – 1 = 0 (D) x 2 + 4x + 1 = 0
Ans. :
13. If 3 ⊕ y ≡ 2 ( mod 6 ), then the value of y is
(A) 2 (B) 4
(C) 5 (D) 6.
Ans. :
14. Out of the following sets, Z 4 is
(A) { 0, 1, 2 } (B) { 0, 1, 2, 3 }
(C) { 0, 1, 2, 3, 4 } (D) { 1, 2, 3, 4 }
Ans. :
81-E 6
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15. In ∆ ABC, D and E are the mid-points of AB and AC respectively, then the area of
(A) 4 ∆ ABC (B)
14
∆ ABC
(C) 2 ∆ ABC (D)
12
∆ ABC.
Ans. :
16. In the given figure, XY || BC, then
AX
BX =
A
C B
Y X
(A)
AY
AC (B)
YC
AY
(C)
AX
AB (D)
AY
CY .
Ans. :
17. In ∆ ABC, ∠ ABC = 90°. If AC = ( x + y ) and BC = ( x – y ), then the length of
AB is
(A) x 2 – y 2 (B) 2xy
(C) 2 xy (D) x 2 + y 2
Ans. :
7 81-E
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18. In the given figure, AC, CE and EH are tangents drawn to the circle at B, D and F
respectively. If CB = 5 cm, and EF = 3 cm, then the length of CE is
(A) 2 cm (B) 5 cm
(C) 3 cm (D) 8 cm.
Ans. :
19. The formula to find the coefficient of variation is
(A)
σ
X
× 100 (B)
X
σ × 100
(C)
X
100 × σ (D)
σ
100 × X
Ans. :
20. If the circumference of the base of a cylinder is 44 cm and height 20 cm, then its
lateral surface area is
(A) 440 sq. cm (B) 880 sq.cm
(C) 88 sq.cm (D) 44 sq.cm.
Ans. :
81-E 8
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II. Fill in the blanks with suitable answers : 10 × 1 = 10
21. If A and B are the subsets of the universal set U then
( A U B ) l = ……………………… .
Ans. :
22. If A is a matrix of order ( m × n ) and B is a matrix of order ( n × p ) then order of
AB is …………………………… .
Ans. :
23. The value of n P 0 is ………………………… .
Ans. :
24. Rationalising factor of ( ) x + y is …………………………… .
Ans. :
25. The standard form of the quadratic equation is ……………………… .
Ans. :
9 81-E
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26. If the value of the discriminant of the quadratic equation ax 2 + bx + c = 0 is less
than 0 then the nature of the roots is ……………………… .
Ans. :
27. If R and r are the radii of two circles having their centres d cm apart, then the
length of the transverse common tangent t is ……………………… .
Ans. :
28. If the square on one side of a triangle is equal to the sum of the squares on the
other two sides, then those two sides contain ………………………… .
Ans. :
29. The formula to find volume of a right circular cylinder is …………………… .
Ans. :
30. Shape of each face of Dodecahedron is ………………………… .
Ans. :
81-E 10
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III. 31. Which term of the Geometric Progression 2, 2 2 , 4, …… is 64 ? 2
11 81-E
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32. Find the sum of the series 1 + 2 + 4 + ……… up to 9 terms.
[ using the formula ] 2
81-E 12
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33. Three numbers are in harmonic progression. The harmonic mean between first
and third numbers is 20. If the 1st number is twice the third number, find the
three terms of the progression. 2
13 81-E
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34. What is meant by transposing of a matrix ? Give an example. 2
81-E 14
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35. (a) What is fundamental counting principle ?
(b) What is the meaning of n P r ? 2
15 81-E
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36. There are 3 white and 5 red roses in a basket. In how many ways can 4 flowers
be removed from the basket so that they contain 2 red flowers ? 2
81-E 16
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37. The H.C.F. and L.C.M. of two expressions are ( a – 7 ) and
( ) a 3 – 10a 2 + 11a + 70 respectively. If one of the expressions is
( ) a 2 – 12a + 35 , find the other. 2
17 81-E
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38. Rationalise the denominator and simplify :
5 + 2
5 – 2
. 2
81-E 18
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39. By selling an article for Rs. 18·75, a dealer loses as much per cent as its cost
price. Find the cost price of the article. 2
19 81-E
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40. Solve the equation by using the fomula x 2 – 8x + 1 = 0. 2
81-E 20
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41. What is a pure quadratic equation ? Give an example. 2
21 81-E
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42. For what value of k the equation kx 2 + 6x + 1 = 0 has equal roots ? 2
81-E 22
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43. Construct two tangents to a circle of radius 3·5 cm from a point 4·5 cm away
from the circle. 2
23 81-E
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44. ABCD is a rhombus. Prove that
AC 2 + BD 2 = 4 AB 2 . 2
81-E 24
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45. In the given figure, TP and TQ are tangents drawn to a circle with centre O. Prove
that ∠ PTQ = 2 ∠ OPQ. 2
T
Q
P
O
25 81-E
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46. Draw a plan for the recordings from the Surveyor’s field book given below : 2
[ Scale : 20 m = 1 cm ]
Metres to D
To E 80
160
120
100
60
60 to C
40 to B
From A
81-E 26
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47. Draw a network for the following matrix : 2
  
  
0 1 2
1 2 1
2 1 0
.
27 81-E
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48. Verify Euler’s formula for the given solid. 2
81-E 28
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IV. 49. In an examination 82% of the candidates passed in Maths, 72% passed in
Science and 55% passed in both. Find the percentage of students failed in both.
( Draw Venn diagram to verify ) 3
29 81-E
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50. Calculate the Mean and Standard Deviation for the following distribution : 3
Class-interval Frequency
0 – 4
5 – 9
10 – 14
15 – 19
20 – 24
2
3
10
3
2
81-E 30
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51. Find the L.C.M. of x 3 – 2x 2 – 13x – 10 and x 3 – x 2 – 10x – 8. 3
31 81-E
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81-E 32
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52. If a + b + c = abc, show that
a ( ) b 2c 2 – 1
bc + 1 +
b ( ) c 2a 2 – 1
ca + 1 +
c ( ) a 2b 2 – 1
ab + 1 = 2abc. 3
33 81-E
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53. If two circles touch each other externally, prove that their point of contact and
their centres are collinear. 3
81-E 34
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54. Find the total surface area of a sphere whose volume is equal to the volume of
the cone having the radius 12 cm and height 6 cm. 3
35 81-E
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V. 55. In an Arithmetic progression the first term is 2 and the sum of the first five terms
is one fourth of the next five terms. Show that the 20th term is equal to – 112. 4
81-E 36
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56. Two circles of radii 4 cm and 2 cm, have their centres 10 cm apart. Draw two
direct common tangents and measure their length and write. 4
37 81-E
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57. If two triangles are equiangular, prove that their corresponding sides are
proportional. 4
81-E 38
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58. Draw the graph of y = x 2 and y = 3 – 2x and hence solve the equation
x 2 + 2x – 3 = 0. 4
39 81-E
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Last edited by Aakashd; May 21st, 2019 at 09:25 AM.

#2
September 29th, 2014, 05:17 PM

#3
December 1st, 2014, 01:26 PM
 Unregistered Guest
maths model question paper for sslc karnataka for the exam 2015

Dear Sir .Please send me aaaa copy of sslc kaarnataka mathematics model question paper for 2015.my email id is saishkumar_shetty@yahoo.com
#4
December 17th, 2014, 04:04 PM
 Junior Member Join Date: Dec 2014
question paper

request u to kindly send sslc model question paper (karnataka) state syllabus.
maths , science , social science
#5
January 10th, 2015, 07:46 PM
 Unregistered Guest
Re: SSLC Maths Question Papers Karnataka board

pls give a maths question paper of new syllabus
#6
February 2nd, 2015, 08:41 PM
 Junior Member Join Date: Feb 2015
sslc

Can I get some SSLC maths model question papers,state board according to the CCE pattern???
#7
March 11th, 2015, 11:27 AM
 Junior Member Join Date: Mar 2015
SSLC MATHS QUESTION

if H is HCF of 56 & 72. find X & Y satisfying H=56x + 72y.

dear sir i want to know answer for this question .

please send for my Gmail account .
#8
March 23rd, 2015, 09:32 PM
 Unregistered Guest
Re: SSLC Maths Question Papers Karnataka board

Plz send sslc maths model question paper
#9
April 10th, 2015, 09:07 PM
 Junior Member Join Date: Apr 2014
important questions

My sister is in sslc and Tomorrow is her social science paper and she is bit dull in that sub so kindly plz provide us some imp questions.. my mail id moryedivya@gmail.com..its my humble request
#10
August 15th, 2015, 04:43 PM
 Junior Member Join Date: Aug 2015
maths

25(45/25)=25(14.5/50)=56. this is mathas question