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CBSE Class 10 Math Syllabus 2023-24

COURSE STRUCTURE CLASS –IX 

UnitsUnit NameMarks
INUMBER SYSTEMS06
IIALGEBRA20
IIICOORDINATE GEOMETRY06
IVGEOMETRY15
VTRIGONOMETRY12
VIMENSURATION10
VIISTATISTICS & PROBABILITY11
 Total80

Mathematics Syllabus

MATHEMATICS SYLLABU

ChaptersExercises
Ch 1 – Real numbersEx 1.2, Ex 1.3
Ch 2-PolynomialsEx 2.1, 2.2
Ch 3-Linear equations in 2 VariablesEx 3.2, Ex 3.3, Ex 3.4
Ch 4-Quadratic EquationsEx 4.1, Ex 4.2, Ex 4.4
Ch 5 Arithmetic ProgressionsAll Exercises
Ch 6-TrianglesEx 6.1, Ex 6.2, Ex 6.3
Ch 7 – Coordinate GeometryEx 7.1, Ex 7.2
ChaptersExercises
Ch 1-Real numbersEx 1.2, Ex 1.3
Ch 2-PolynomialsEx 2.1, 2.2
Ch 3-Linear equations in 2 VariablesEx 3.2, Ex 3.3, Ex 3.4
Ch 4-Quadratic EquationsEx 4.1, Ex 4.2, Ex 4.4
Ch 5 Arithmetic ProgressionsAll Exercises
Ch 6-TrianglesEx 6.1, Ex 6.2, Ex 6.3
Ch 7-Coordinate GeometryEx 7.1, Ex 7.2
Ch 8- TrigonometryEx 8.2, Ex 8.2, Ex 8.4
Ch 9- Applications of TrigonometryAll Exercises
Ch 10-CirclesAll Exercises
Ch 11-ConstructionsChapter Deleted
Ch 12-Areas Related to CirclesEx 12.2
Ch 13-Surface areas and VolumesEx 13.1, Ex 13.2
Ch 14-StatisticsEx 14.1, Ex 14.2, Ex 14.3
Ch 15- ProbabilityEx 15.1

Term 1
Unit 1: Number Systems
Unit 2: Algebra
Unit 3: Coordinate Geometry
Unit 4: Geometry
Unit 5: Trigonometry
Unit 6: Mensuration
Unit 7: Statistics and Probability 

Term 2
Unit 1: Algebra
Unit 2: Geometry
Unit 3: Trigonometry
Unit 4: Mensuration
Unit 5: Statistics and Probability

UNIT I: NUMBER SYSTEMS

1. Real Number

  • Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples. Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.
Unit 2: Algebra

1. Polynomials

  • Zeros of a polynomial. Relationship between zeroes and coefficients of quadratic polynomials only.

2. 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 and by elimination. Simple situational problems. Simple problems on equations reducible to linear equations.

3. Quadratic Equations

4. Arithmetic Progressions

The reason you want to learn about Arithmetic Progression? The nth term and the sum of the first n terms of A.P. are deduced and used to solve difficulties in everyday life.

Unit 3: Coordinate Geometry

1. Coordinate Geometry
LINES (In two-dimensions)
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division)

Unit 4: Geometry

1. 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.
  • (Motivate) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

2. Circles

Tangent to a circle at point of contact

  • (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
  • (Prove) The lengths of tangents drawn from an external point to a circle are equal.
Unit 5: Trigonometry

1. Introduction To Trigonometry

  • Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined). Values of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.

2. Trigonometric Identities

  • Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given

3. HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression.

  • Simple height and distance problems. There should be no more than two right triangles in a problem. Elevation/depression angles should be no more than 30°, 45°, and 60°.
Unit 6: Mensuration

1. 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 the area of a segment of a circle, problems should be restricted to the central angle of 60° and 90° only.

2. SURFACE AREAS AND VOLUMES

  • Surface areas and volumes of any two of the following combinations: cubes, cuboids, spheres, hemispheres, and right circular cylinders/cones
Unit 7: Statistics & Probability

1. Statistics

  • Mean, median and mode of grouped data (bimodal situation to be excluded).

2. Probability

  • Classical definition of probability. Simple problems on finding the probability of an event.

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