SSLC/ 10th Std/ Tenth Karnataka Maths Model Question Paper : www.kseeb.kar.nic.in
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
Related / Similar Question Paper :
KSEEB SSLC Social Science Question Paper 2019
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.
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