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NIOS Class 10 Maths — Formula Sheet

NIOS Class 10 Maths formula sheet, chapter by chapter — 232 formulas across 25 chapters. Follows the NIOS 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 — 25 Chapters

1

Number System

7 entries
p/q
(-p)/q = -(p/q)
(-p)/(-q) = p/q
Equivalent forms: multiply or divide numerator and denominator by the same non-zero number
p/q + r/q = (p + r)/q
The full Number System formula sheet
2

Exponents And Radicals

14 entries
a^m
a^m × a^n = a^(m+n)
a^m ÷ a^n = a^(m-n)
a^m ÷ a^n = 1/a^(n-m)
(a^m)^n = a^(mn)
The full Exponents And Radicals formula sheet
3

Algebraic Expressions And Polynomials

9 entries
General form of a polynomial in one variable x: a_0 + a_1x + a_2x^2 + ... + a_nx^n
2x + 3x = (2+3) × x = 5x
9x^2y^2 - 5x^2y^2 = (9-5)x^2y^2 = 4x^2y^2
Degree of a term = sum of the exponents of the variables in that term
Degree of a polynomial = degree of the term having highest degree and non-zero coefficient
The full Algebraic Expressions And Polynomials formula sheet

22 more chapters below

Formula sheets for all 25 chapters with formulas.

Get the Formula Sheets

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Frequently Asked Questions

Where can I find NIOS Class 10 Maths Formula Sheet?

This page has formula sheet for 25 chapters of NIOS Class 10 Maths 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

25 chapters

1

Number System

2

Exponents And Radicals

3

Algebraic Expressions And Polynomials

4

Special Products And Factorization

5

Linear Equations

6

Quadratic Equations

7

Arithmetic Progressions

8

Percentage And Its Applications

9

Instalment Buying

10

Lines And Angles

12

Concurrent Lines

13

Quadrilaterals

14

Similarity Of Triangles

15

Circles

16

Angles In A Circle And Cyclic Quadrilateral

17

Secants, Tangents And Their Properties

18

Constructions

19

Co-Ordinate Geometry

20

Perimeters And Areas Of Plane Figures

21

Surface Areas And Volumes Of Solid Figures

22

Introduction To Trigonometry

23

Trigonometric Ratios Of Some Special Angles

24

Data And Their Representations

25

Measures Of Central Tendency

26

Introduction To Probability

More Maths Resources

NIOS 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

Study Plan

Week-by-week preparation schedule

Flashcards

Quick-fire cards for active recall practice

Syllabus

Chapter list and the topics in each

Other NIOS Class 10 Subjects

Science & TechSocial StudiesEnglishHindiEconomicsAccountancyPsychologyIndian Culture and Heritage