Class 10: Mathematics (Notes and MCQs) – Simplyclass

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Chapter 1: Real Numbers 5 Topics | 5 Quizzes

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1.1 Real Numbers – Definition, Symbol and Examples

1.2 Euclid’s Division Lemma – Proof and Examples

1.3 Fundamental Theorem of Arithmetic – Examples

1.4 Rational Numbers and Irrational Numbers – Proofs and Examples

Real Numbers (MCQs) 10th Cls

Chapter 2: Polynomials 5 Topics | 5 Quizzes

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2.1 Polynomials – Definition, Types, Degree and Examples

2.2 Geometrical Meaning of the Zeroes of a Polynomial

2.3 Relationship between Zeroes and Coefficients of a Polynomial

2.4 Division Algorithm for Polynomials – Statement, Interactive and Examples

Polynomials (MCQs) 10th Cls

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Chapter 3: Pair Of Linear Equations In Two Variables 9 Topics | 5 Quizzes

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3.1 Linear Equation in Two Variables – Forms, Graphs, Interactives and Examples

3.2 Pair of Linear Equations in Two Variables – Consistent and Inconsistent Linear Systems (Examples)

3.3 Graphical Representation of Pair of Linear Equation (Simultaneous Equations)

3.4 Graphical Method of Solution of a Pair of Linear Equations – Steps and Examples

3.5 Substitution Method: Solving Simultaneous Equations – Steps and Examples

3.6 Elimination Method: Solving Simultaneous Equations – Steps and Examples

3.7 Cross-Multiplication Method: Solving Simultaneous Equations – Steps and Examples

3.8 Real Life Applications of Simultaneous Linear Equations

Pair Of Linear Equations In Two Variables (MCQs) 10th Cls

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Chapter 4: Quadratic Equations 8 Topics | 5 Quizzes

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4.1 Difference Between Linear Equations and Quadratic Equations

4.2 Formation of Quadratic Equation – Definition and Examples

4.3 Solving Quadratic Equation by Factoring – Steps and Examples

4.4 Solving Quadratic Equations by Completing the Square Method – Steps and Examples

4.5 Solving Quadratic Equations – Quadratic Formula, Steps and Examples

4.6 Discriminant and Nature of Roots of Quadratic Equation – Examples

4.7 Real Life Applications of Quadratic Equations

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Chapter 5: Arithmetic Progressions 5 Topics | 5 Quizzes

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5.1 Sequences – Definition and Examples

5.2 Arithmetic Progression – Definition, Formula and Examples

5.3 General term of an Arithmetic Progression – Formulae, Interactives and Examples

5.4 Sum of n terms of an AP – Formula, Interactives and Examples

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Chapter 6: Triangles 10 Topics | 5 Quizzes

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6.1 Difference between Congruence and Similarity

6.2 Similar Figures – Definition, Scale Factor, Interactive and Examples

6.3 Similar Triangles – Examples and Interactives

6.4 Basic Proportionality Theorem (BPT Theorem) – Theorem, Proof, Interactives and Examples

6.5 AA Triangle Similarity – Theorem, Proof, Interactives and Examples

6.6 SAS Triangle Similarity – Theorem, Proof, Interactives and Examples

6.7 SSS Triangle Similarity – Theorem, Proof, Interactives and Examples

6.8 Area of Similar Triangles – Theorem, Proof, Formula, Interactives and Examples

6.9 Pythagoras Theorem Proof Using Similarity – Formula, Interactives and Examples

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Chapter 7: Coordinate Geometry 5 Topics | 5 Quizzes

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7.1 Coordinate Geometry – Cartesian Plane, Plotting Points and Examples

7.2 Distance Formula – Derivation, Interactives and Examples

7.3 Section Formula and Midpoint Formula – Derivation, Interactives and Examples

7.4 Area of a Triangle in Coordinate Geometry – Formula and Examples

Coordinate Geometry (MCQs) 10th Cls

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Chapter 8: Introduction to Trigonometry 6 Topics | 5 Quizzes

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8.1 Introduction to Trigonometry

8.2 Trigonometric Ratios – Definition, Formula, Interactives and Examples

8.3 Trigonometric Ratios of Some Specific Angles – Interactive and Examples

8.4 Trigonometric Ratios of Complementary Angles – Interactives and Examples

8.5 Trigonometric Identities – Proof and Examples

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Chapter 9: Some Applications of Trigonometry 3 Topics | 5 Quizzes

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9.1 Introduction

9.2 Angles of Elevation and Angle of Depression – Definition and Examples

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Chapter 10: Circles 3 Topics | 5 Quizzes

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10.1 Parts of a Circle – Definition, Interactives and Examples

10.2 Tangent to a circle – Definition, Theorems, Proof, Interactives and Examples

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Chapter 11: Area related to circles 6 Topics | 5 Quizzes

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11.1 Introduction

11.2 Perimeter of a Circle (Circumference of a Circle) – Formula, Interactives and Examples

11.3 Area of a Circle – Formula, Interactives and Examples

11.4 Areas of Sector and Area of Segment of a Circle – Formula, Interactives and Examples

11.5 Areas of Combinations of Plane Figures – Examples

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Chapter 12: Surface Areas And Volumes 5 Topics

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12.1 Surface Area – Formulas, Interactives and Examples

12.2 Volume – Formulas, Interactives and Examples

12.3 Conversion of Solids from One Shape to Another – Examples

12.4 Surface Area and Volume of a Combination of Solids – Interactives and Examples

12.5 Frustum of a Cone – Volume and Surface Area (Formula, Interactive and Examples)

Chapter 13: Statistics 6 Topics | 5 Quizzes

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13.1 Measure of Central Tendency – Definition, Interactives, Video and Examples

13.2 Mean of Grouped Data – Formula, Steps and Examples

13.3 Median of Grouped Data – Formula, Steps and Examples

13.4 Mode of Grouped Data – Steps, Formula and Examples

13.5 Cumulative Frequency Distribution – Cumulative Frequency Polygon or Ogives (Steps and Examples)

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Chapter 14: Probability 3 Topics | 5 Quizzes

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15.1 Introduction to Probability

15.2 Theoretical Probability – Definition, Formula, Interactives and Examples

Probability (MCQs) 10th Cls

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