Must-Know

Algebraic & Numerical 

Important Formulas at 1 Place

Formulas for

CBSE Class 12

Weightage

Maths

Weightage in CBSE Class 12 Maths Exam 2026

Algebraic & Numerical Formulas

All Algebraic Identities Formulas

Quadratic Equation Formula

Arithmetic Progression Formula

(a + b)² = a² + 2ab + b² (a − b)² = a² − 2ab + b² a² − b² = (a − b)(a + b) (a + b)³ = a³ + 3a²b + 3ab² + b³ (a − b)³ = a³ − 3a²b + 3ab² − b³

aₙ = a + (n − 1)d

x = [−b ± √(b² − 4ac)] / 2a

Algebraic & Numerical Formulas

Arithmetic Progression All Formula (sum)

Sum and Difference Formulas

Trigonometry Double Angle Formula

Sₙ = n/2 [2a + (n − 1)d] Sₙ = n/2 (a + l)

sin(2x) = 2 sinx cosx cos(2x) = cos²x − sin²x tan(2x) = [2 tanx]/[1 − tan²x]

sin(A ± B) = sinA cosB ± cosA sinB cos(A ± B) = cosA cosB ∓ sinA sinB

Algebraic & Numerical Formulas

Inverse Trig Properties

Basic Derivative Formulas

sin(sin⁻¹ x) = x cos(cos⁻¹ x) = x tan(tan⁻¹ x) = x

d/dx(xⁿ) = nxⁿ⁻¹ d/dx(eˣ) = eˣ d/dx(ln x) = 1/x d/dx(sin x) = cos x d/dx(cos x) = −sin x

Basic Integral Formulas

Binomial Theorem Formula

∫ xⁿ dx = xⁿ⁺¹/(n+1) ∫ eˣ dx = eˣ ∫ (1/x) dx = ln ∫ sin x dx = −cos x ∫ cos x dx = sin x

(a + b)ⁿ = Σ ⁿCᵣ aⁿ⁻ʳ bʳ General Term Tᵣ₊₁ = ⁿCᵣ aⁿ⁻ʳ bʳ

Algebraic & Numerical Formulas

Logarithm Formula

Permutation and Combination Formula

Probability Formula 12th Class

Conditional Probability Formula

log(ab) = loga + logb log(a/b) = loga − logb log(aⁿ) = n loga

ⁿPᵣ = n! / (n − r)! ⁿCᵣ = n! / [r!(n − r)!]

P(E) = Number of favourable outcomes / Total possible outcomes P(A ∪ B) = P(A) + P(B) − P(A ∩ B)

P(A | B) = P(A ∩ B) / P(B)

Practical Tips to Handle Formulas in Class 12 Maths

– Don’t memorise everything in one go. Break formulas unit-wise. Revise Calculus formulas on one day, Algebra on another. – Keep a 2–3 page formula sheet.  – Check signs carefully. In differentiation and trigonometry, – Solve 4–5 questions immediately after revising a formula.  – Before the exam, revise only formulas, not full chapters.

CBSE Class 12 Board Exam Aswer key And Solutions