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Kerala Board Class 10 Mathematics — Formula Sheet

Kerala Board Class 10 Mathematics formula sheet, chapter by chapter — 50 formulas across 9 chapters. Follows the KBPE / SCERT 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 — 9 Chapters

3

Circles and Angles

5 entries
To mark 1/n of a circle, the central angle = 360°/n
Angle at circumference = (1/2) × Central angle of the same arc
This relationship holds for all arcs with central angle ≤ 180°
Central angle of semicircle = 180°, so circumference angle = 180°/2 = 90°
Key property: opposite angles are supplementary (∠A + ∠C = 180°, ∠B + ∠D = 180°).
The full Circles and Angles formula sheet
4

Polynomials And Equations

7 entries
Use the distributive property: (x + a)(x + b) = x² + (a + b)x + ab
Use the identity (a - b)² = (a + b)² - 4ab to find unknown factors
If (x - a)(x - b) = 0, then x = a or x = b (zero product property)
Universal method for solving any quadratic equation ax² + bx + c = 0
If (x - p)(x - q) = 0, then either x - p = 0 or x - q = 0, giving x = p or x = q.
The full Polynomials And Equations formula sheet
5

Arithmetic Sequences and Algebra

5 entries
Sum of first n odd numbers = n²
Sum of first n even numbers = n(n+1)
The sum of first n natural numbers is given by: 1 + 2 + 3 + ... + n = n(n+1)/2.
For sequence xₙ = an + b, sum of first n terms = ½an(n+1) + nb.
Alternative method: Sum = ½ × number of terms × (first term + last term).
The full Arithmetic Sequences and Algebra formula sheet

6 more chapters below

Formula sheets for all 9 chapters with formulas.

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Frequently Asked Questions

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

This page has formula sheet for 9 chapters of Kerala 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

9 chapters

3

Circles and Angles

4

Polynomials And Equations

5

Arithmetic Sequences and Algebra

6

Circles And Lines

7

Mathematics of Chance

8

Geometry And Algebra

9

Second Degree Equations

10

Solids

11

Trigonometry

More Mathematics Resources

Kerala 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

Flashcards

Quick-fire cards for active recall practice

Syllabus

Chapter list and the topics in each

Other Kerala Board Class 10 Subjects

PhysicsChemistry