The CBSE Class 10 exam is one of the milestones in a student’s life. The content of Class 10 Mathematics is designed keeping this in mind. The concepts of trigonometry and quadratic equations are introduced in this grade. Concepts like real numbers, polynomials, statistics, probability, triangles, surface areas and volumes are extensions to the parts studied in earlier grades.

1.1 Decimal Expansions of Real Numbers

1.2 Euclid's Division Lemma

1.3 The Fundamental Theorem of Arithmetic

2.1 Division Algorithm for Polynomials.

2.2 Geometrical Meaning of the Zeroes of a Polynomial.

2.3 Relationship Between Zeroes and Coefficients of a Polynomial.

3.1 Cross-Multiplication Method to Solve a Pair of Linear Equations.

3.2 Elimination Method to Solve a Pair of Linear Equations.

3.3 Equation Pairs: Reducing to Linear Form

3.4 Graphical Method of Solution of a Pair of Linear Equations

3.5 Substitution Method to Solve a Pair of Linear Equations

4.1 Introduction to Quadratic Equations

4.2 Nature of Roots

4.3 Solution of a Quadratic Equation by Completing the Square

4.4 Solution of a Quadratic Equation by Factorisation

5.1 General Term of an Arithmetic Progression

5.2 Introduction to Arithmetic Progression

5.3 Sum of First n Terms of an Arithmetic Progression

6.1 Areas of Similar Triangles

6.2 Basic Proportionality Theorem

6.3 Criteria for Similarity of Triangles

6.4 Pythagoras Theorem

6.5 Similar Figures

7.1 Area of a Triangle

7.2 Distance Formula

7.3 Section Formula

8.1 Trigonometric Identities

8.2 Trigonometric Ratios

8.3 Trigonometric Ratios of Complementary Angles

8.4 Trigonometric Ratios of Some Specific Angles

9.1 Heights and Distances

10.1 Tangent to a Circle

10.2 Tangents from a Point on a Circle

11.1 Construction of Tangents to a Circle

11.2 Division of a Line Segment

12.1 Area of a Combination of Plane Figures

12.2 Circle: Perimeter and Area

12.3 Sector and Segment of Circle

13.1 Conversion of Solids from One Shape to Another

13.2 Frustum of a Cone

13.3 Surface Area of a Combination of Solids

13.4 Volume of a Combinations of Solids

14.1 Area of a Triangle

14.2 Distance Formula

14.3 Section Formula

15.1 Graphical Representation of Cumulative Frequency Distribution

15.2 Mean of Grouped Data

15.3 Mode and Median of Grouped Data

15.4 Relation Between Central Tendencies

At Learnflix, the learning of Mathematics at this level happens through activities, charts, pictures, puzzles, sample problems and experiments. The content aims that students should be able to prepare well for their exams as well apply the mathematical concepts to solve the daily life problems.

## Free e-Book Library is available on Learnflix App

**Title:** Complete Foundation Guide for IIT JEE Class 10

**Publisher:** Schand

**Author:** Sanjeev Verma

Complete Foundation Guide for IIT-JEE is a series of books for Classes 6 to 10. This series has been designed to cater to different academic needs with effective features to enable students not only to excel in the subject, but also take up IIT-JEE and other entrance examinations confidently, ensuring success.