KSEAB SSLC Mathematics Model Question Paper 2024-25 Karnataka

Organisation : Karnataka School Examination & Assessment Board (KSEAB)
Class Name : SSLC (Class X)
Subject : Mathematics
Download : Model Question Paper 2024-25
Website : https://kseeb.karnataka.gov.in/sslc2025modelqp/

KSEAB SSLC Mathematics Model Question Paper

I. Four alternatives are given for each of the following questions / incomplete statements. Choose the correct alternative and write the complete answer along with its letter of alphabet.

Related / Similar Question Paper : KSEAB SSLC English Model Question Paper 2024-25 Karnataka

1. The HCF of 252 × and 525 × is
(A) 2 × 5
(B) 2 5 × 5
(C) 5 2 × 2 6
(D) 2 5 × 5 2

2. The sum of first ‘n’ natural numbers is
(A) n ( n + 1 )
(B) n ( n + 2 )/2
(C) n ( n + 1 )/2
(D) n ( n – 1 )

3. x ( x + 2 ) = 6 is a
(A) linear equation
(B) quadratic equation
(C) cubic polynomial
(D) quadratic polynomial

4. sin 2 A – cos 2 A is equal to
(A) 1
(B) 1 – 2cos 2 A
(C) 1 + 2cos 2 A
(D) – 1

5. The sum of the probability of all elementary events of a random experiment is
(A) 0
(B) 1/2
(C) 1
(D) – 1

II. Answer the following questions :
1. Find the value of ‘b’ if the pair of linear equations 2x + by = 8 and 2 ( 2x + 3y ) = 16 has infinite solutions.
2. Write the degree of the polynomial P ( x ) = 5 xxx 123 23 +− – 8. 11. If sin A = 23 and cos A = 21 , then find the value of tan A.
3. Write the empirical relation between the three measures of central tendency Mean, Median and Mode.
4. Express the quadratic equation x+1/2=3/x in the standard form.
5. Find the distance of the point ( 6, 8 ) from the origin.

III. Answer the following questions :
17. Prove that 3 + 5 is an irrational number.

18. What is a composite number ? Which is the composite number among 23and 24 ?
OR
State the fundamental theorem of arithmetic. Write the composite numberwhich has 7 and 3 as its only prime factors.

19. Find the 21st term of the arithmetic progression 5, 9, 13, ….. using formula.

20. Solve the pair of linear equations by elimination method :
x + y = 4
2x + y = 6

21. If the quadratic equation 2x + bx + 9 = 0 has two equal real roots, then find the equation ( b < 1 ).

22. Find the coordinates of the point which divides the line segment joining the points A ( 1, – 3 ) and B ( 8, 5 ) in the ratio 3 : 1 internally.

General Instructions to the Candidate :
1. This question paper consists of 38 questions.
2. Follow the instructions given against the questions.
3. Figures in the right hand margin indicate maximum marks for the questions.
4. The maximum time to answer the paper is given at the top of the question paper. It includes 15 minutes for reading the question paper.

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Download Mathematics Model Question Paper 1 :
https://www.pdfquestion.in/uploads/pdf2025/43478-p1.pdf

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https://www.pdfquestion.in/uploads/pdf2025/43478-p2.pdf

Download Mathematics Model Question Paper 3 :
https://www.pdfquestion.in/uploads/pdf2025/43478-p3.pdf

Download Mathematics Model Question Paper 4 :
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