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Madhya Pradesh Board Class 10 Mathematics — Formula Sheet

Madhya Pradesh Board Class 10 Mathematics formula sheet, chapter by chapter — 147 formulas across 15 chapters. Follows the MPBSE 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 — 15 Chapters

1

Real Numbers

11 entries
32760 = 2^3 × 3^2 × 5 × 7 × 13
123456789 = 3^2 × 3803 × 3607
a^2 = (p1p2...pn)(p1p2...pn) = p1^2p2^2...pn^2
Let p be a prime number. If p divides a^2, then p divides a, where a is a positive integer.
HCF(a, b) × LCM(a, b) = a × b
The full Real Numbers formula sheet
2

Polynomials

14 entries
The highest power of x in p(x) is called the degree of the polynomial p(x).
Zero of a polynomial: p(k) = 0
Zero of linear polynomial ax + b: k = -b/a
Linear graph: y = ax + b
Quadratic graph: y = ax^2 + bx + c
The full Polynomials formula sheet
3

Pair of Linear Equations in Two Variables

4 entries
General form: a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0
If lines intersect: a1/a2 ≠ b1/b2
If lines are coincident: a1/a2 = b1/b2 = c1/c2
A pair of linear equations in two variables can be written in general form as a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0.
The full Pair of Linear Equations in Two Variables formula sheet

12 more chapters below

Formula sheets for all 15 chapters with formulas.

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Frequently Asked Questions

Where can I find Madhya Pradesh Board Class 10 Mathematics Formula Sheet?

This page has formula sheet for 15 chapters of Madhya Pradesh 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

15 chapters

1

Real Numbers

2

Polynomials

3

Pair of Linear Equations in Two Variables

4

Quadratic Equations

5

Arithmetic Progressions

6

Triangles

7

Coordinate Geometry

8

Introduction to Trigonometry

9

Some Applications of Trigonometry

10

Circles

11

Areas Related to Circles

12

Surface Areas and Volumes

13

Statistics

14

Probability

15

A1 Proofs In Mathematics

More Mathematics Resources

Madhya Pradesh 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

Study Plan

Week-by-week preparation schedule

Flashcards

Quick-fire cards for active recall practice

Syllabus

Chapter list and the topics in each

NCERT Solutions

Every textbook exercise solved step by step

Other Madhya Pradesh Board Class 10 Subjects

ScienceSocial Science