Karnataka SSLC Maths Exam 2025-26: Most Important Questions & Answers for Last Minute Revision

The Karnataka SSLC Maths exam is scheduled for 28th March 2026, and with only a few hours left, it’s crucial to focus on high-scoring topics and important questions.To assist students with their last-minute preparations, we have compiled a set of important questions along with their answers.

Covers important topics Includes basic subjective & marks wise questions. Contains quick revision notes, and short & long answer questions.

Karnataka 12 Maths Most Important Questions with Answers 2026

For the Karnataka Class 10 Board Examination 2026, study the important Maths questions and make sure to utilize these key questions to secure 95% marks in the exam.

Karnataka SSLC Math Important Questions 2026  - 1 Mark

Question 1: The rational number in the following is,

(A) √3 (B) √5 (C) √4 (D) √7

Question 2: If the graph of a quadratic polynomial passes through the coordinate points ( – 3, 0), ( - 1, -5), ( 0, -6 ), and ( 2, 0 ), then the zeroes of the quadratic polynomial are

(A) - 3 and - 6 (B) 0 and - 3 (C) - 1 and -5 (D) - 3 and 2

Question 3: The volume of a right circular cylinder is 1540 cm³ and its height is 10 cm. The area of its base is

(A) 15·4 cm (B) 15·4 cm2 (C) 154 cm2 (D) 154 cm3

Question 4: x ( x + 2 ) = 6 is a

(A) linear equation (B) quadratic equation (C) cubic polynomial (D) quadratic polynomial

Question 5: Write the degree of a cubic polynomial.

Question 6: Write the formula to find the volume of a cylinder whose radius is ‘r’ and height is ‘h’.

Question 7: The pair of linear equations x + y – 4 = 0 and 2x + by – 3 = 0 has no solution. Find the value of ‘b’.

Question 8: Write the empirical relation between the three measures of central tendency: Mean, Median, and Mode.

Question 9: Find the class mark in the class interval 10 – 25.

Question 10: Find the coordinates of the midpoint of the line segment joining the points A ( 5, 4 ) and B ( 1, 4 )

Karnataka SSLC Math Important Questions 2026  - 2 Mark

Question 1: Find the roots of the quadratic equation x2 + 4x – 60 = 0.

Question 2: The difference between two positive numbers is 26, and if one number is three times the other, then find the numbers.

Question 3: An arithmetic progression consists of 20 terms whose first and last terms are 12 and 106, respectively. Find the sum of the progression.

Question 4: Find the distance of the point ( 6, 8 ) from the origin.

Question 5: Write the probability of

(i) a sure event

(ii) an impossible event.

Question 6: A circle passes through the point ( – 7, 1 ). If the centre of the circle is ( – 5, 4 ), then find the radius of the circle.

Question 7: Find the value of the discriminant of the quadratic equation. 3x2 - 7x + 4 + 0, and also write the nature of the roots.

Karnataka SSLC Math Important Questions 2026 For 3 Marks

Question 1: Find the zeroes of the polynomial P ( x ) = x ( x – 4 ) and verify the relationship between the zeroes and the coefficients.

Question 2: The length of the minute hand on a clock is 14 cm. Find the area swept by the minute hand in 10 minutes.

Question 3: α and β are the zeroes of a quadratic polynomial. If α + β = – 3 and αβ = 2, then find the quadratic polynomial and also find the value of (α–β).

Question 4: If the points A ( 4, 5 ), B ( 7, y ), C ( 4, 3 ), and D ( x, 2 ) are the vertices of a parallelogram, then find the values of x and y.

Question 5: In a scalene triangle ABC, draw a line parallel to BC. Let this line intersect AB at D and AC at E. If DE: BC = 2:5, AD = 2 cm, AE = 3 cm, and DE = 4 cm, then find the perimeter of the triangle ABC.

Question 6: A vessel is in the form of an inverted cone. Its height is 8 cm, and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0·5 cm, are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.

Karnataka SSLC Math Important Questions 2026 For 4 Marks

Question 1: The maximum volume of a closed cylindrical tank is 6160 m3. The diameter of its circular base is 28 m. Find the cost of painting its surface at the rate of Rs. 5 per square metre.

Question 2: “If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then prove that the two triangles are similar.”

Question 3: A toy is made up of a cylinder having a diameter of 10 cm and a height of 20 cm, and it is joined with a hemisphere of the same diameter at one end and a cone of equal diameter and a slant height of 13 cm at the other end. Find the surface area of the toy.

Question 4: The ratio of the 11th and 8th terms of an arithmetic progression is 3:2. Find the ratio of the sum of the first 5 terms to the sum of the first 21 terms.

Karnataka SSLC Math Important Questions 2026 For 5 Marks

Question 1: State and prove the Basic Proportionality theorem (Thales' theorem)

Question 2: The tent of a circus company is built with canvas cloth such that a cone is surmounted on the cylindrical shape. If the height of the cylindrical shape is 9 m, the diameter of the base of the tent is 30 m, and the total height of the tent is 17 m, then find the —

(a) area of the ground occupied by the tent

(b) The area of the canvas cloth used for building the tent.

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Karnataka Board Class 10 Study Material