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Board : Karnataka Secondary Education Examination Board
Exam : SSLC Mathematics
Document type : Model Question Paper
Website : kseeb.kar.nic.in

Download Sample/ Model Question Papers :

2012 : https://www.pdfquestion.in/uploads/%20kar.nic.in/6043-1281-E.pdf
2013 : https://www.pdfquestion.in/uploads/%20kar.nic.in/6043-1381-E.pdf
2014 : https://www.pdfquestion.in/uploads/%20kar.nic.in/6043-1481-E.pdf
2015 : Paper I : https://www.pdfquestion.in/uploads/%20kar.nic.in/6043-Maths%20MQP-1_English_2015.pdf
Paper II : https://www.pdfquestion.in/uploads/%20kar.nic.in/6043-Maths%20MQP-2_English_2015.pdf
Paper III : https://www.pdfquestion.in/uploads/%20kar.nic.in/6043-Maths%20MQP-3_English_2015.pdf
Paper IV : https://www.pdfquestion.in/uploads/%20kar.nic.in/6043-Maths%20MQP-4_English_2015.pdf

KSEEB SSLC Maths  Model Question Paper

MATHEMATICS
Max Marks : 80
Time: 2 Hours 45 minutes
No. of Questions : 40
Code No. : 81E

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KSEEB SSLC Social Science Question Paper 2019

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Choose the correct Questions

Four alternatives are given for the each question. Choose the correct
alternative and write the complete answer along with its alphabet in the space
provided. 1 mark × 8 = 8
1. A = {1, 2, 3}, B = {4, 5, 6} then A – B- C- is,
(a) {1, 2, 3} (b) {4, 5, 6} (c) {1, 3, 5} (d) {2, 4, 6}
2. 15th term of the A.P. x – 7, x – 2, x + 3………… is,-
(a) x – 73 (b) x – 63 (c) x – 83 (d) x – 53

3. The rationalising factor of 2 . 3 x is
(a) x (b) 4 x (c) 3 x2 (d) 3 x
4. If f – x- – 2×3 – 3×2 – 11x – 6 then f – 1- is,
(a) 6 (b) 2 (c) 1 (d) 0

5. One root of the equation x2 – 5x – K – 0 is 2. Then K is,
(a) – 6 (b) 6 (c) 5 (d) 2
6. In – ABC, DE – BC. If AD = 3 cm, BD = 2 cm and AE = 2.7 cm then AC is
7. If 1 cos2 3 (a) 3 2 (b) 12 (c) 1 (d) 0

8. The distance between the origin and the point (12, – 5) is,-
(a) – 5 units (b) 12 units (c) 7 units (d) 13 units

9. Find the harmonic mean between 1 and 4.
10. Two coins are tossed together. What is the probability of getting exactly
11. Subtract 5 x from 9 x and express the result in the index form.
12. In the polynomial, g – x- – x – 2, q- x- – x2 – x – 1 and r – x- – 4 find P- x- .
13. Find the equation of the line whose angle of inclination – = 60° and
14. In the given figure AX, AY and AZ are the tangents to the circles. If AX = 8
15. Find geometric progression if T3 :T6 – 1:8 and T5 = 64.
16. Shekar is one member of a group of 5 persons. If 3 out of these 5 persons

17. Find the variance for the following data :
18. Rationalise the denominator and simplify : 3 6
19. Divide P- x- – x2 – 4x – 4 by g – x- – – x – 2- and verify division algorithm.
20. Find the value of q so that the equation 2×2 – 3qx – 5q – 0 has one root which is
twice the other.
21. In – ABC, – ABC – 90- , BM – AC , AM – 8×2 , MC – 2×2 , find BM and AB.

22. In what ratio does the point (2, 3) divide the line segment joining the points (3, 5) and (4, 9)
23. Draw a neat diagram of pentahedron and verify Euler’s formula.
24. Set A and set B are the subsets of the universal set U. n (A) 285 , n(B) 195, n(U) 500 and n(A) (B) 410 find n(A) (B) .
25. If nPr 840 and nCr 35 find the value of n.
26. Find two numbers whose sum is 18 and sum of their squares is 290.
27. If 3tanq 1 find sinq and cosq .
28. In the given figure, PQ, PR and BC are the tangents to the circle. BC touches the
circle at x. If PQ = 7 cm then find the perimeter of PBC.

29. The curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find the radius of the base and the total surface area of the cone.
OR
A solid hemisphere of wax of radius 12 cm is melted and made into a cone of base radius 6 cm. Calculate the height of the cone.
30. In a circulating library the number of different books circulated daily are given below:
Types of books – Kannada Novels Magazines Science Books English Novels
Daily Circulated – 40 50 25 05
Draw a Pie chart to represent the data.

Three Marks Questions

IV 3 marks × 6 = 18 :
31. A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has (i) no girls; (ii) at least one boy and one girl.
OR
From 8 gentlemen and 5 ladies a committee of 6 is to be formed. In how many ways can this be done so that the committee contains at least 3 ladies.

32. If a straight line divides two sides of a triangle proportionally, then the straight lines is parallel to third side. (Converse of Thales theorem) Prove.