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Wednesday, September 7, 2022

KSEEB Class 10th Mathematics Syllabus 2022 PDF Download Online

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 subject-wise 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 2022-23 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

2022-23

Format

PDF/DOC

Provider

hsslive.co.in

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:

  1. Visit the official website - kseeb.kar.nic.in.
  2. Look for Karnataka Board Class 10th Mathematics Syllabus 2022.
  3. Now check for KSEEB Class SSLC Mathematics Syllabus 2022 PDF.
  4. Download and save them for future references.

KSEEB Class 10th Mathematics Syllabus 2022-23 PDF

Students of download the KSEEB Class 10th Mathematics Syllabus 2022-23 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

2,3,5

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 ax2+ 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 right-angled 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 sin2A+Cos2A =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
  1. 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.
  2. 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
 

KSEEB Class SSLC Syllabus PDF


Key Benefits Of Solving KSEEB Class 10th Mathematics Syllabus 2022-23 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.

FAQ about Karnataka Board Class 10th Mathematics Syllabus 2022 PDF


What is the KSEEB Class 10th Mathematics Syllabus 2022-23??

The KSEEB Class 10th Mathematics Syllabus 2022 PDF comprises the subject-wise topics which will be asked in the exam.

Is it necessary to go through the Karnataka Board Class 10th Mathematics Syllabus 2022?

Candidates, if they want to score higher marks and stay ahead in the competition, should not ignore the syllabus. They should read the syllabus thoroughly. This will help in developing a strong preparation strategy and candidates will also gain valuable insights into the exam pattern, important chapters and topics, weightage of marks, objective of the entire course, etc.
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