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Telangana Board Class 10 Mathematics — Formula Sheet

Telangana Board Class 10 Mathematics formula sheet, chapter by chapter — 156 formulas across 14 chapters. Starts with Real Numbers, Sets and Polynomials.

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 — 14 Chapters

1

Real Numbers

10 entries
a = bq + r, 0 ≤ r < b
HCF(c,d) = HCF(d,r)
HCF(a,b) × LCM[a,b] = a × b
LCM = product of greatest power of each prime factor
HCF = product of smallest power of each common prime factor
2

Sets

7 entries
n(φ) = 0
Cardinality of a finite set is a whole number
Q = {x : x = p/q, p, q are integers and q ≠ 0}
A = {x : x is a multiple of 3, x < 20}
A ⊆ B ⇔ a ∈ A ⇒ a ∈ B
3

Polynomials

10 entries
A polynomial in x is an algebraic expression containing the sum of a finite number of terms of the form ax^n, where a is a real number, a ≠ 0, and n i
General polynomial of degree n: p(x) = a_0x^n + a_1x^(n-1) + a_2x^(n-2) + ... + a_(n-1)x + a_n
p(k) means the value of the polynomial p(x) when x is replaced by k.
a real number k is said to be a zero of a polynomial p(x), if p(k) = 0.
Zero of a linear polynomial: k = -b/a

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Formula sheets for all 14 chapters with formulas.

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Frequently Asked Questions

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

This page has formula sheet for 14 chapters of Telangana 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.

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14 chapters

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