Karnataka SSLC Math Important Questions 2026 - Check Karnataka SSLC Math Questions Marks-Wise

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Karnataka SSLC Math Important Questions 2026 are helpful for the last month of preparation. With regular practice, these questions can help you to understand the format of the paper and the topics from which the high weightage questions can be asked in the final paper. In the final question paper, you will find 38 questions of different types, like MCQs, one-word questions, very short, short, long, and very long answer type questions. Following this pattern of questions, we have provided the important questions based on the marking scheme followed by the board. You can go through the article below to check the Karnataka SSLC Math Important Questions 2026.

Also Check Karnataka SSLC Math Previous Year Question Paper

Karnataka SSLC Math Important Questions 2026 For 1 Mark

In the very first section of the question paper, you will find MCQs along with one-word questions. There will be 8 MCQs and 8 one-word questions included in the question paper. There will be no internal choices present in this very section. Each question will carry one mark. You can refer to some important one-mark questions for Karnataka SSLC below:

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 )

Also Check Karnataka SSLC Math Syllabus 2025-26

Karnataka SSLC Math Important Questions 2026 For 2 Marks

The second section of the question paper consists of very short answer-type questions for 2 marks each. Internal choices will be available in this section, so make sure to read the instructions very carefully before answering. You are required to answer 8 questions from this section. You can check out important questions for 2 marks below:

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: In triangle ABC, DE || BC. AD = x, BD = x – 2, AE = x + 2, and CE = x – 1. Find the value of x and hence find AD:DB.

Question 7: 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 8: Find the value of the discriminant of the quadratic equation. 3x2 - 7x + 4 + 0, and also write the nature of the roots.

Also Read Karnataka SSLC Math Model Paper 2025-26

Karnataka SSLC Math Important Questions 2026 For 3 Marks

The third section of the question paper consists of short-answer type questions for 3 marks each. You are required to answer 9 questions from this section. Internal choices will be available in this situation. Check out important questions for 3 marks below:

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

In the second last section, you will find long answer-type questions for 4 marks each. According to the latest question paper available on the official website of KSEAB, you are required to answer four questions from this section. There will be internal choices present in this section. Check out important questions for 4 marks below:

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

In the last section of the question paper, you will find one very long answer-type question. You can refer to some very long answer-type questions for 5 marks below:

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.

Which chapters have more weightage in Karnataka SSLC Math?

A total of 14 chapters are included in the syllabus of Karnataka SSLC Math. Some of the most important chapters are Triangles and Pair of Linear Equations in Two Variables. You can check out the weightage of these chapters along with the others from the table given below. For more details you can also check Karnataka SSLC Mathematics Exam Pattern 2026

Make sure that you understand the curriculum enough to answer the Karnataka SSLC Math Important Questions 2026 easily. In case you are unable to solve these questions, then it is sure that you need to revise your syllabus once again. Try to polish your skills using model test papers available online, along with the previous year's question papers.

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