#1
 
 
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 nonempty 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 81E  ✒ 912130 [ Turn over 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. : 81E 4  ✒ 912130 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 81E  ✒ 912130 [ Turn over 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. : 81E 6  ✒ 912130 15. In ∆ ABC, D and E are the midpoints of AB and AC respectively, then the area of ∆ ADE is (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 81E  ✒ 912130 [ Turn over 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. : 81E 8  ✒ 912130 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 81E  ✒ 912130 [ Turn over 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. : 81E 10  ✒ 912130 III. 31. Which term of the Geometric Progression 2, 2 2 , 4, …… is 64 ? 2 11 81E  ✒ 912130 [ Turn over 32. Find the sum of the series 1 + 2 + 4 + ……… up to 9 terms. [ using the formula ] 2 81E 12  ✒ 912130 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 81E  ✒ 912130 [ Turn over 34. What is meant by transposing of a matrix ? Give an example. 2 81E 14  ✒ 912130 35. (a) What is fundamental counting principle ? (b) What is the meaning of n P r ? 2 15 81E  ✒ 912130 [ Turn over 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 81E 16  ✒ 912130 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 81E  ✒ 912130 [ Turn over 38. Rationalise the denominator and simplify : 5 + 2 5 – 2 . 2 81E 18  ✒ 912130 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 81E  ✒ 912130 [ Turn over 40. Solve the equation by using the fomula x 2 – 8x + 1 = 0. 2 81E 20  ✒ 912130 41. What is a pure quadratic equation ? Give an example. 2 21 81E  ✒ 912130 [ Turn over 42. For what value of k the equation kx 2 + 6x + 1 = 0 has equal roots ? 2 81E 22  ✒ 912130 43. Construct two tangents to a circle of radius 3·5 cm from a point 4·5 cm away from the circle. 2 23 81E  ✒ 912130 [ Turn over 44. ABCD is a rhombus. Prove that AC 2 + BD 2 = 4 AB 2 . 2 81E 24  ✒ 912130 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 81E  ✒ 912130 [ Turn over 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 81E 26  ✒ 912130 47. Draw a network for the following matrix : 2 0 1 2 1 2 1 2 1 0 . 27 81E  ✒ 912130 [ Turn over 48. Verify Euler’s formula for the given solid. 2 81E 28  ✒ 912130 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 81E  ✒ 912130 [ Turn over 50. Calculate the Mean and Standard Deviation for the following distribution : 3 Classinterval Frequency 0 – 4 5 – 9 10 – 14 15 – 19 20 – 24 2 3 10 3 2 81E 30  ✒ 912130 51. Find the L.C.M. of x 3 – 2x 2 – 13x – 10 and x 3 – x 2 – 10x – 8. 3 31 81E  ✒ 912130 [ Turn over 81E 32  ✒ 912130 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 81E  ✒ 912130 [ Turn over 53. If two circles touch each other externally, prove that their point of contact and their centres are collinear. 3 81E 34  ✒ 912130 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 81E  ✒ 912130 [ Turn over 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 81E 36  ✒ 912130 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 81E  ✒ 912130 [ Turn over 57. If two triangles are equiangular, prove that their corresponding sides are proportional. 4 81E 38  ✒ 912130 58. Draw the graph of y = x 2 and y = 3 – 2x and hence solve the equation x 2 + 2x – 3 = 0. 4 39 81E ✒ 912130 [ Turn over Last edited by Aakashd; May 21st, 2019 at 09:25 AM. 
#3
 
 
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 
#9
 
 
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
