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punjab-board
10th-class
mathematics
Mathematics - 2026
Punjab Textbook Board • 10th Class
Mathematics - 2026
Official curriculum textbook containing 4 chapters.
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Table of Contents (4 Chapters)
1
Chapter 1
Complex Numbers
20 Topics
Quadratic Equations - Introduction and Definition
Complex Numbers
1.2 Solution of quadratic equations
1.1 Complex Numbers
1.1 Solved Examples and Exercise 1.1
1.3 Quadratic Formula
1.2 Algebraic Operations on Complex Numbers
1.2 Multiplication, Division, and Properties of Complex Numbers
Exercise 1.2
1.4 Equations reducible to quadratic form
1.3 Complex or Argand Plane
1.5 Radical equations
1.3 Properties of Conjugate
Exercise 1.4 - Radical Equations
1.4 Modulus of a Complex Number
Exercise 1.3
Review Exercise - Chapter 1
1.5 Finding Real and Imaginary Parts
1.6 Solution of Simultaneous Linear Equations with Complex Coefficients and Exercise 1.4
Review Exercise 1
2
Chapter 2
Theory of Quadratic Equations
18 Topics
Theory of Quadratic Equations - Introduction and Learning Outcomes
2.1 Nature of the roots of a quadratic equation
Exercise 2.1
3
Chapter 3
Variations
22 Topics
Variations
3.1 Ratio, Proportions and Variations
3.1 Ratio, Proportions and Variations (Continued)
3.1(b) Proportion
4
Chapter 4
Partial Fractions
11 Topics
Partial Fractions
4.1 Fraction
4.2 Resolution of Fraction into Partial Fractions
4.2.1 Non-Repeated Linear Factors
2.2 Cube Roots of Unity and Their Properties
2.3 Roots and co-efficient of a quadratic equation
2.3.3 To find unknown values involved in a given quadratic equation
Exercise 2.3
2.4 Symmetric functions of the roots of a quadratic equation
Exercise 2.4
2.5 Formation of a quadratic equation
Exercise 2.5
2.6 Synthetic Division
Exercise 2.6 - Synthetic Division
2.7 Simultaneous equations
Exercise 2.7 - Simultaneous Equations
2.7(ii) Solving Real Life Problems with Quadratic Equations
Exercise 2.8
Miscellaneous Exercise - 2
Exercise 3.1
3.1(c) Variations (Direct and Inverse)
3.1(c) Variations (Direct and Inverse) Continued
Exercise 3.2
3.1(ii) Find 3rd, 4th, mean and continued proportion
3.2 Theorems on Proportions
3.2 Theorems on Proportions (Continued)
3.2 Theorems on Proportions (Further Examples)
3.2 Theorems on Proportions (Solving Equations)
EXERCISE 3.4
3.3 Joint Variation
EXERCISE 3.5
3.4 K-Method
3.4 K-Method (Continued)
EXERCISE 3.6
3.4(ii) Real life problems based on variation
EXERCISE 3.7
Miscellaneous Exercise - 3
Exercise 4.1
4.2.2 Repeated Linear Factors
Exercise 4.2
4.2.3 Non-Repeated Irreducible Quadratic Factors
Exercise 4.3
4.2.4 Repeated Irreducible Quadratic Factors
Summary - Unit 4