Karnataka SSLC Class 10 Maths Syllabus Guide for session 2026-27

The syllabus broadly follows a 15-chapter structure that balances number systems, algebra, geometry, and data handling. These chapters are:

✅ Real Numbers

✅ Polynomials

✅ Pair of Linear Equations in Two Variables

✅ Quadratic Equations

✅ Arithmetic Progressions

✅ Triangles

✅ Coordinate Geometry

✅ Introduction to Trigonometry

✅ Some Applications of Trigonometry

✅ Circles

✅ Constructions

✅ Areas Related to Circles

✅ Surface Areas and Volumes

✅ Statistics

✅ Probability

✔ Marks Weightage by Chapter

Understanding the chapter-wise marks distribution helps students plan their preparation more strategically.aakash+1​

Karnataka SSLC Class 10 Maths – Chapter-wise Marks Distribution

The algebra and number systems portion lays the foundation for logical thinking and higher mathematics.

✅ Real Numbers: Topics include Euclid’s division lemma, fundamental theorem of arithmetic, and properties of rational and irrational numbers, which strengthen understanding of divisibility and factorization.

✅ Polynomials: Students learn about zeros of polynomials, relationship between coefficients and zeros, and graphical interpretation.

✅ Pair of Linear Equations in Two Variables: The syllabus covers graphical and algebraic methods (substitution, elimination, cross-multiplication) along with simple real-life applications.

✅ Quadratic Equations: Focus is on solutions by factorization and using the quadratic formula, along with word problems.

✅ Arithmetic Progressions: Includes nth term and sum of n terms of an AP, applied to everyday problem situations.

✔ Geometry and Constructions

Geometry in Class 10 develops spatial understanding and logical proof-based thinking.school.

✅ Triangles: The chapter emphasizes similarity of triangles, criteria for similarity, and applications such as area ratios and Pythagoras theorem.

✅ Circles: Concepts include tangents to a circle, number of tangents from a point, and related theorems.

✅ Constructions: Students practice division of a line segment in a given ratio, drawing tangents to a circle from a point outside it, and constructing triangles similar to a given triangle.

These topics are highly scoring if students master the standard theorems and diagrams through repeated practice.

✔ Coordinate Geometry

Coordinate geometry connects algebra with geometry using the Cartesian plane.

The syllabus includes:

✅ Distance formula for finding the distance between two points.

✅ Section formula for internal division of a line segment.

✅ Area of a triangle using coordinates.

Questions typically involve plotting points, using formulas correctly, and interpreting geometric meaning, making this an accessible but important unit.

✔ Trigonometry and Its Applications

Trigonometry is one of the most crucial parts of Class 10 Mathematics due to its wide applications and presence in competitive exams.

✅ Introduction to Trigonometry: Students learn trigonometric ratios of acute angles, relationships between the ratios, values at specific angles, and simple problems involving right triangles.

✅ Some Applications of Trigonometry: Focus is on height and distance problems, including angles of elevation and depression in real-life contexts.

A strong grasp of basic identities and ratio values makes this section easier and highly scoring.

✔ Mensuration: Areas and Volumes

Mensuration connects mathematics with real-life measurement and design problems.school.

✅ Areas Related to Circles: This chapter covers areas of sector and segment of a circle, and problems combining these with figures like triangles and quadrilaterals.

✅ Surface Areas and Volumes: Students study the surface areas and volumes of combinations of solids such as cubes, cuboids, cylinders, cones, and spheres, along with conversion of a solid from one shape to another.

These chapters demand careful reading of questions and clarity of formulae, but practicing previous year questions helps secure marks.

✔ Statistics and Probability

Data handling and basic probability equip students with skills useful in everyday decision-making.

✅ Statistics: The syllabus includes finding mean, median, and mode of grouped data and drawing cumulative frequency graphs (ogives).

✅ Probability: Students learn the classical (theoretical) definition of probability and solve simple problems involving single events.

Because the steps are systematic and formula-based, these chapters are often considered some of the most scoring sections in the paper.school.

Preparation Tips Subject-wise

A subject-wise approach to the Karnataka SSLC exam recommends tailoring strategies to the nature of each chapter category.

✅ For Algebra and Number Systems, daily problem practice and formula revision are vital.

✅ For Geometry and Trigonometry, maintaining a separate notebook for theorems, constructions, and standard trigonometric values is helpful.

✅ For Statistics, Probability, and Mensuration, students should solve a variety of word problems and past papers to improve speed and accuracy.

Following the official pattern and regularly attempting sample papers aligned with the latest syllabus ensures familiarity with question types and time management.