Some of the topics Covered under CBSE Class 10 Mathematics Syllabus are:

**Arithmetic Progressions**

**Circles**

**Polynomials**

**Triangles**

**Constructions**

**Pair of Linear Equation in Two Variables**

**Area related to circles**

**Coordinate Geometry**

**Surface area and volumes**

**Quadratic Equations**

**Introduction to Trigonometry**

** REAL NUMBERS**

A.1 Euclid’s division Lemma

A.2 The Fundamental theorem of arithmetic

A.3 Revisiting irrational numbers

A.4 Revisiting rational numbers and their decimal expansion

**Polynomials**

B.1 Geometrical meaning of zeroes of polynomial

B.2 Relationship between zeroes and coefficients of polynomial

B.3 Division algorithms for polynomial

**Pair of Linear Equation in Two Variables**

C.1 Pair of linear equation in two variables

C.2 Algebraic method of solving pair of linear equation- substitution method

C.3 Algebraic method of solving pair of linear equation- elimination method

C.4 Algebraic method of solving pair of linear equation- cross multiplication

method

C.5 Equation reducible to pair of linear equation in two variables

**Quadratic Equations**

D.1 Quadratic Equations

D.2 Solution of quadratic equation by factorization

D.3 Solution of quadratic equation by completing the square

D.4 Nature of roots

**Arithmetic Progressions**

E.1 Introduction

E.2 Arithmetic progressions

E.3 Sum of first n terms of an AP

**Triangles**

F.1 Similar figures

F.2 Similarity of 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

F.3(Motivate) If a line divides two sides of a triangle in the same ratio,

the line is parallel to the third side.”

F.4 Basic Proportionality Theorem

F.5 Criteria for similarity of triangles

F.6 Area of similar triangles

F.7 Pythagoras theorem

F.8 Converse of Pythagoras theorem

**Coordinate Geometry**

G.1 Distance formula

G.2 Section formula

G.3 Area of triangle

**Introduction to Trigonometry**

H.1 Trigonometry: Introduction

H.2 Trigonometric ratios of some specific angles

H.3 Trigonometric ratios of complementary angles

H.4 Trigonometric identities

**Some Applications of Trigonometry**

I.1 Heights and distances

**Circles**

J.1 Tangent to a circle

J.2 Number of tangent from a point to a circle

**Constructions**

K.1 Division of a line segment

K.2 Construction of triangle similar to given triangle

K.3 Construction of tangents to a circle

**Area related to circles**

L.1 Perimeter and area of a circle

L.2 Area of sector and segment of a circle

L.3 Area of segment of a circle

L.4 Problems on Area and Perimeter

**Surface area and volumes**

M.2 Volume of a combination of solids

M.3 Conversion of one solid shape into another

M.4 Frustum of cone

**Statistics**

N.1 Mean of grouped data

N.2 Mode of grouped data

N.3 Median of grouped data

N.4 Graphical representation of cumulative frequency distribution

**Probability**

O.1 Introduction

O.2 Probability- a theoretical approach