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Gujarat Board Class 10 Mathematics — Formula Sheet

Gujarat Board Class 10 Mathematics formula sheet, chapter by chapter — 41 formulas across 8 chapters. Follows the GSEB 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 — 8 Chapters

1

Real Numbers

7 entries
Examples of irrationals: √2, √3, √5, √7, π, 0.10110111011110...
The proof that √2 is irrational uses a method called 'Proof by Contradiction'.
STEP 1 — Assume the Opposite: Assume that √2 is rational.
STEP 2 — Write in Fraction Form: Since √2 is rational, we can write √2 = a/b, where a and b are integers, b ≠ 0, and HCF(a, b) = 1 (i.e., a and b are coprime).
STEP 3 — Square Both Sides: Squaring gives 2 = a²/b², so a² = 2b².
The full Real Numbers formula sheet
2

Polynomials

10 entries
Degree 1 → Linear Polynomial (e.g., 2x + 3)
A real number k is called a ZERO of polynomial p(x) if p(k) = 0.
To find if k is a zero, substitute x = k into the polynomial and check if the result is 0.
Example: For p(x) = x² - 3x - 4, p(-1) = (-1)² - 3(-1) - 4 = 1 + 3 - 4 = 0. So -1 is a zero.
The graph of y = ax + b (linear polynomial) is a STRAIGHT LINE that intersects the x-axis at exactly one point: (-b/a, 0). This x-coordinate is the zero.
The full Polynomials formula sheet
3

Pair of Linear Equations in Two Variables

2 entries
A linear equation in two variables has the general form: ax + by + c = 0, where a, b, c are real numbers and a ≠ 0, b ≠ 0.
The general form of a pair of linear equations is: a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0.
The full Pair of Linear Equations in Two Variables formula sheet

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Formula sheets for all 8 chapters with formulas.

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Frequently Asked Questions

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

This page has formula sheet for 8 chapters of Gujarat 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

8 chapters

1

Real Numbers

2

Polynomials

3

Pair of Linear Equations in Two Variables

4

Quadratic Equations

5

Arithmetic Progressions

8

Introduction to Trigonometry

11

Areas Related to Circles

14

Probability

More Mathematics Resources

Gujarat Board Class 10

Practice Quiz

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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 Gujarat Board Class 10 Subjects

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