Karnataka SSLC Maths Mid-Term Question Paper 2025-26 with Answer Key: Download PDF

Particulars

Details

Exam Name

Karnataka SSLC (Class 10) Mid-Term Examination 2025-26

Conducting Body

Karnataka School Examination and Assessment Board (KSEAB)

Applicable Schools

All Government, Aided, and Private Schools affiliated to KSEAB

Official Website

https://kseab.karnataka.gov.in

Class

Class 10 (SSLC)

Exam Date

16th September, 2025

Duration

10:30 AM to 1:45 PM

Total Theory Marks

80

Question Pattern

Combination of Multiple Choice Questions (MCQs), Short Answer, Long Answer

Difficulty Level

Moderate: balanced between conceptual, application

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. 8 x 1 = 8 

1. The degree of the polynomial p (x) = 2x³ + 5x-6 is 

(A) 2 

(B) 3

(C) 5 

(D) 6

II. Answer the following questions: 8 x 1 = 8

9. State Fundamental Theorem of Arithmetic'. 

10. How many solutions does the pair of linear equations in two variables have if they are inconsistent? 

11. Write the formula to find the sum of first n positive integers. 

12. Write the two conditions for similarity of two polygons having the same number of sides. 

13. If the product of the zeroes of the polynomial p (x) = 2x² - 3x+ k is 3, then find the value of k.

14. If the sum of three consecutive terms of an arithmetic progression is 21, then find the second term. 

15. 3 bats and 2 balls together cost Rs. 700. If the cost of a ball is Rs. 50, then find the cost of a bat. 

Karnataka SSLC Maths Mid-Term Exam Question Paper 2025: Download PDF

1. (B) 3

2. (A) 

3. (C) x2−5x+6=0

4. (A) -7

5. (D) 18

6. (C) AC/AY

7. (B) 1

8. (D) 4

9. Fundamental Theorem of Arithmetic: Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur.

10. If a pair of linear equations in two variables is inconsistent, they have no solution.

11. The formula to find the sum of the first n positive integers is Sn=2n(n+1).

12. The two conditions for similarity of two polygons having the same number of sides are:

• All the corresponding angles are equal.

• All the corresponding sides are in the same ratio (or proportion).

13. For a polynomial p(x)=2x2−3x+k, the product of the zeroes is given by ac.
    Here, a=2, b=−3, and c=k.
    Given that the product of the zeroes is 3.
    So, 2k=3
    k=3×2
    k=6
    The value of k is 6.

14. Let the three consecutive terms of an arithmetic progression be a−d, a, and a+d.
    Their sum is (a−d)+a+(a+d)=21.
    3a=21
    a=321
    a=7
    The second term is 7.

15. Let the cost of a bat be 'b' and the cost of a ball be 'x'.
    Given: 3 bats and 2 balls together cost Rs. 700. So, 3b+2x=700.
    Given: The cost of a ball is Rs. 50. So, x=50.
    Substitute the value of x into the equation:
    3b+2(50)=700
    3b+100=700
    3b=700−100
    3b=600
    b=3600
    b=200
    The cost of a bat is Rs. 200.