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E-BOOK

National Book Foundation10th ClassMathematics

Mathematics 10

Published by Pakistan Textbook Board • Edition 2024

13 Chapters

118 Total Topics

Table of Contents (Chapters)

13 Chapters Available

1

Complex Numbers

7 textbook topics

Chapter 1: Complex Numbers - Introduction

Operations on Complex Numbers and Powers of i

Properties of Complex Numbers

Geometric Interpretation and Modulus

2

Quadratic Equations

10 textbook topics

Chapter 2: Quadratic Equations - Introduction

Solving Quadratic Equations

Equations Reducible to Quadratic Form

3

Matrices And Determinants

9 textbook topics

Chapter 3: Matrices And Determinants - Introduction

Addition, Subtraction and Scalar Multiplication

4

Linear and Quadratic Inequalities

9 textbook topics

Chapter 4: Linear and Quadratic Inequalities - Introduction

Properties of Inequalities and Solving Linear Inequalities

Solving Quadratic Inequalities

5

Algebraic Fractions

7 textbook topics

Chapter 5: Algebraic Fractions - Introduction

Polynomials and Rational Expressions

Evaluation of Algebraic Expressions and Exercise 5.1

Operations on Algebraic Fractions

6

Functions And Graphs

9 textbook topics

Chapter 6: Functions And Graphs - Introduction

Functions and Types of Functions

Operations on Functions and Inverse of a Function

7

Vectors in Plane

9 textbook topics

Chapter 7: Vectors in Plane - Introduction

Geometrical Representation, Position Vector and Rectangular Coordinate System

Multiplication by Scalar and Translation by Vector

8

Application of Trigonometry

18 textbook topics

Application of Trigonometry

Quadrantal Angles

Signs of Trigonometric Ratios in Different Quadrants

Finding Trigonometric Ratios between 90° and 180°

9

Chord and Arcs of a Circle

10 textbook topics

Introduction to Chord and Arcs of a Circle

Theorem 9.1: One and Only One Circle Through Three Non-Collinear Points

10

Tangents and Angles of a Circle

8 textbook topics

Introduction to Tangents and Angles of a Circle

Theorems 10.3 to 10.5: Tangents and Circles

Theorem 10.6: Alternate Segment Theorem

11

Practical Geometry of Circles

7 textbook topics

Introduction to Practical Geometry of Circles

Construction of Circles and Arcs

Construction of Tangents to a Circle and an Arc

12

Basic Statistics

11 textbook topics

Basic Statistics

Cumulative Frequency Curve (Ogive)

Box and Whisker Plot Correlation

20

لغات و محاورات

4 textbook topics

لغات و محاورات - حصہ اول

لغات و محاورات - حصہ دوم

لغات - اسباق و غزلیات

امتحانی ہدایات و مشق

Exercise 1.1

Real and Imaginary Parts and Exercise 1.3

Nature of Roots and Exercise 2.3

Roots and Coefficients

Simultaneous Equations and Exercise 2.5

Real Problems and Exercise 2.6

Miscellaneous Exercise 2

Determinants and Singular/Non-Singular Matrices

Inverse of a Matrix

Matrix Inversion Method and Cramer's Rule

Miscellaneous Exercise 3

Solving Systems of Linear Inequalities

Absolute Value Equations and Inequalities

Graphing Systems of Linear Inequalities

Miscellaneous Exercise 4

Solving Rational Equations

Miscellaneous Exercise 5

Graphs of Algebraic Functions

Quadratic, Cubic, Reciprocal and Exponential Functions

Miscellaneous Exercise 6

Addition and Subtraction of Vectors

Rectangular Components of a Vector

Ratio Formula and Application to Geometry

I have Learnt and Miscellaneous Exercise 7

Law of Tangents

When Law of Sines and Law of Cosines are Used

Half Angle Formulae

Exercise 8.3 (Law of Cosines & Half Angles)

Area of Triangular Region

Exercise 8.4 (Area of Triangles)

Circles Connected with Triangles

Exercise 8.5 (Circles Connected with Triangles)

Trigonometric Problems in Three Dimensions

Exercise 8.6 (3D Trigonometry)

Miscellaneous Exercise-8

Theorems 9.2 and 9.3: Perpendicular from Centre to Chord

Theorems 9.4 and 9.5: Chords Equidistant from Centre

Arcs of Circles

Theorems 9.6 to 9.9: Arcs and Chords

Exercise 9.4: Arc Length and Sector Area

Miscellaneous Exercise 9

Exercise 10.1

Angle in a Segment of a Circle

Theorems 10.7 to 10.12: Angles in a Circle

Miscellaneous Exercise 10

Common Tangents to Two Circles

Miscellaneous Exercise 11

Construction of Scatter Diagram, Lines of Best Fit and Interpretation of Data

Using Mean and Standard Deviation to Compare Data Sets

Probability of Combined Events

Review Exercise 12