Skip to main content
Super TutorResources
·5 chapters

Punjab Board Class 10 Mathematics — Formula Sheet

Punjab Board Class 10 Mathematics formula sheet, chapter by chapter — 24 formulas across 4 chapters. Follows the PSEB syllabus.

How to Use the Formula Sheet

  1. Write, don't just read — writing each formula out helps it stick.
  2. Understand the derivation — you can rebuild a formula you half-remember.
  3. Group related formulas — link the ones that build on each other.
  4. Test yourself — cover the sheet and write the formulas from memory.

Chapter-Wise Formulas — 4 Chapters

1

Real Numbers

3 entries
Any composite number x can be written as x = p1 × p2 × ... × pn, where p1 ≤ p2 ≤ ... ≤ pn are primes written in ascending order.
Examples of irrational numbers: √2, √3, √5, √15, π, 0.10110111011110...
For any two positive integers a and b, the relationship HCF(a, b) × LCM(a, b) = a × b always holds true.
The full Real Numbers formula sheet
2

Polynomials

11 entries
Degree 1 → Linear Polynomial (e.g., 2x + 3)
The graph of y = ax + b (linear) is a STRAIGHT LINE that intersects the x-axis at exactly ONE point — (–b/a, 0). So a linear polynomial has exactly 1 zero.
The graph of y = ax² + bx + c (quadratic) is a PARABOLA. It opens upward if a > 0, downward if a < 0.
For a QUADRATIC polynomial p(x) = ax² + bx + c with zeroes α (alpha) and β (beta):
Product of zeroes: αβ = c/a = (constant term) / (coefficient of x²)
The full Polynomials formula sheet
3

Pair of Linear Equations in Two Variables

4 entries
The general form of a linear equation in two variables is: a₁x + b₁y + c₁ = 0, where a₁, b₁, and c₁ are real numbers and a₁ ≠ 0, b₁ ≠ 0.
CONDITION 2 — Infinitely Many Solutions (Coincident Lines, Consistent/Dependent): a₁/a₂ = b₁/b₂ = c₁/c₂
An equation of the form ax + by + c = 0, where a, b, and c are real numbers with a ≠ 0 and b ≠ 0.
Two linear equations considered together, written as: a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0.
The full Pair of Linear Equations in Two Variables formula sheet

1 more chapter below

Formula sheets for all 4 chapters with formulas.

Get the Formula Sheets

Get chapter-wise help for Punjab Board Class 10 Mathematics

Super Tutor gives you chapter summaries, revision notes, practice quizzes and flashcards, organised around the Punjab Board syllabus. Free to start.

Try Super Tutor free

Frequently Asked Questions

Where can I find Punjab Board Class 10 Mathematics Formula Sheet?

This page has formula sheet for 4 chapters of Punjab Board Class 10 Mathematics for the board exams 2027. Each chapter links to its own page with the full set.

Go through the syllabus first, then work chapter by chapter: learn the ideas, practise questions, and revise with notes and flashcards. Leave time at the end to revise every chapter once more under timed conditions.

Learn the formulas you use most first, and understand what each symbol means so you can apply them. Knowing where a formula comes from helps you rebuild it if you forget it in the exam.

Browse Formula Sheet by Chapter

4 chapters

1

Real Numbers

2

Polynomials

3

Pair of Linear Equations in Two Variables

4

Quadratic Equations

More Mathematics Resources

Punjab Board Class 10

Practice Quiz

Test yourself with quick quizzes

Important Questions

Exam-style questions with answers

Revision Notes

Key concepts and quick revision points

Chapter Summary

Understand each chapter at a glance

Concept Maps

Diagrams showing how topics connect

Flashcards

Quick-fire cards for active recall practice

Syllabus

Chapter list and the topics in each

Other Punjab Board Class 10 Subjects

Science