KSEEB Class 10th Mathematics Syllabus 2022 PDF Download  Karnataka Board has released the syllabus of KSEEB Class 10th Mathematics Syllabus 2022 along with the official notification on the official website  kseeb.kar.nic.in. The KSEEB Class 10th Mathematics 2022 Syllabus pdf comprises the subjectwise topics which will be asked in the class SSLC Mathematics exam. Students of Karnataka State Board Class 10th Mathematics can download the syllabus PDF from this page.
Karnataka Board Class SSLC Mathematics Syllabus 202223 PDF
Using the KSEEB Class 10th Mathematics Syllabus 2022 PDF, students can prepare their study schedule and exam preparation strategy. As the KSEEB exam date has been released, candidates can plan their schedule according to it, therefore, they can prepare their syllabus of KSEEB Class 10th Mathematics Exam 2022 accordingly. Along with the KSEEB Class 10th Mathematics 2022 syllabus, candidates can also check the official Karnataka Board exam pattern and the previous year's Karnataka Board Class 10th Mathematics question papers.
Karnataka State Board Class 10th Mathematics Syllabus 2022 PDF Online
Name of the Board 
KSEEB 
Name of the Grade 
SSLC 
Subjects 
Mathematics 
Year 
202223 
Format 
PDF/DOC 
Provider 

Official Website 
kseeb.kar.nic.in 
How To Download Karnataka State Board Class 10th Mathematics Syllabus 2022 PDF Online?
Follow the steps as under to download KSEEB Class SSLC Mathematics Syllabus 2022 PDF:
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KSEEB Class 10th Mathematics Syllabus 202223 PDF
Students of download the KSEEB Class 10th Mathematics Syllabus 202223 PDF online using the links provided below:
 Arithmetic Progression
Arithmetic progression derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.
 Triangles
Definitions, examples, counter examples of similar triangles.
(Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
(Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
(Motivate) If in two triangles, the corresponding angles are equal , their corresponding sides are proportional and the triangles are similar.
(Motivate)If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
(Motivate)If one angle of a triangle is equal to one angle of another triangle and the sides, including these angles are proportional, the two triangles are similar.
(Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
(Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
(Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
(Prove)In a triangle, if the square on one side is equal to the sum of the squares on the other two sides, the angles opposite to the first side is a right angle.
 Pair of linear equations in two variables
Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency.
Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations.
 Circles
Tangent to a circle at, point of contact
1.(Prove)The tangent at any point of a circle is perpendicular to the radius through the point of contact.
2.(Prove) The lengths of tangents drawn from an external point to a circle are equal.
 Areas related to circles
Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter/circumference of the above said plane figures.(In calculating area of segment of a circle, problems should be restricted to central angle of 60°,90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.
 Constructions
Division of a line segment in a given ratio(internally)
Tangents to a circle from a point outside it.
Construction of a triangle similar to a given triangle.
 Coordinate Geometry
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula.Section formula (internal division). Area of a triangle.
 Real Numbers
Euclid’s division lemma, Fundamental theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, proofs of irrationality of
Decimal representation of rational numbers in terms of terminating/non terminating recurring decimals.
 Polynomials
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.
 Quadratic equations
Standard form of equation ax^{2}+ bx + c =0, (a ≠0). Solutions of quadratic equations (only real roots) by factorization, by completing the square and by using the quadratic formula. Relationship between discriminant and nature of roots.
Situational problems based on quadratic equations related to day to day activities to be incorporated.
 Introduction to Trigonometry
Trigonometric ratios of an acute angle of a rightangled triangle. Proof of their existence(well defined); motivate the ratios whichever are defined at 0 and 90. Values (with proof) of the trigonometric ratios of 30°,45°and 60°. Relationships between the ratios.
 Some Applications of Trigonometry
Proof and application of the identity sin^{2}A+Cos^{2}A =1. Only simple identities to be given. Trigonometric ratios of complementary angles.
 Statistics
Mean,Median and Mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.
 Probability
Classical definition of probability. Simple problems on single events (not using set notation)
 Surface areas and volumes
 Surface areas and volumes of combination of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
 Problems involving converting one type of metallic solid into another and other mixed problems. Problems with combination of not more than two different solids to be taken.
 Surface areas and volumes
Surface areas and volumes of combination of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
Problems involving converting one type of metallic solid into another and other mixed problems. Problems with combination of not more than two different solids to be taken
 Proofs in Mathematics
 Mathematical Modelling
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Key Benefits Of Solving KSEEB Class 10th Mathematics Syllabus 202223 PDF
There are several benefits of KSEEB Class 10th Mathematics Syllabus 2022 PDF
 It enhances the speed of solving questions and time management skills.
 It helps candidates to gain insight into the Karnataka Board Class 10th Mathematics Syllabus 2022 PDF.
 Understand the type of questions and marking scheme.
 Helps in analyzing the preparation level.
 Gives an idea about the real exam scenario.
 Enhances exam temperament and boosts confidence.
 Gives an idea about the topics important for examination point of view.
 Karnataka State Board Class 10th Mathematics Syllabus 2022 PDF helps in understanding the Exam pattern and its level of difficulty.
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