Free CBSE Formula Sheets & Study Resources

Quick reference formula sheets, study techniques, and exam tips for CBSE students in Classes 6–12. Bookmark this page for instant revision access.

Mathematics Formulas

Algebra

(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
a² - b² = (a + b)(a - b)
a³ + b³ = (a + b)(a² - ab + b²)

Quadratic Equations

x = (−b ± √(b² − 4ac)) / 2a
Discriminant: D = b² − 4ac
Sum of roots: α + β = −b/a; Product of roots: αβ = c/a

Trigonometry

sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
sin(A + B) = sinA cosB + cosA sinB

Calculus

d/dx(xⁿ) = nxⁿ⁻¹
d/dx(sin x) = cos x; d/dx(cos x) = −sin x
∫xⁿ dx = xⁿ⁺¹/(n+1) + C

Physics Formulas

Mechanics (Equations of Motion)

v = u + at
s = ut + ½at²
v² = u² + 2as
F = ma; W = Fd cos θ; KE = ½mv²; PE = mgh

Electricity

V = IR (Ohm's Law)
P = VI = I²R = V²/R

Optics

Mirror formula: 1/f = 1/v + 1/u
Lens formula: 1/f = 1/v − 1/u
Snell's Law: n₁ sin θ₁ = n₂ sin θ₂

Chemistry Formulas

Molarity (M) = moles / liters
pH = −log[H⁺]; pOH = −log[OH⁻]; pH + pOH = 14
ΔG = ΔH − TΔS
E°cell = E°cathode − E°anode

Study Techniques

Active Recall: Test yourself without looking at notes. This strengthens memory better than passive reading.
Spaced Repetition: Review material at increasing intervals: 1 day, 3 days, 1 week, 2 weeks, 1 month.
Feynman Technique: Explain concepts in simple terms. If you can teach it, you truly understand it.
Pomodoro Method: Study for 25 minutes, then take a 5-minute break. Take longer breaks every 4 cycles.

Frequently Asked Questions

What study resources does GyanAI provide for free?: GyanAI offers free CBSE formula sheets for Mathematics, Physics, and Chemistry, along with study tips, NCERT quick reference guides, and exam preparation strategies for Classes 6–12.
Are the formula sheets suitable for board exam revision?: Yes. GyanAI's formula sheets are designed specifically for CBSE board exam revision. They cover all high-weightage topics across Classes 9–12.
How can I use study resources for JEE and NEET preparation?: The Physics and Chemistry formula sheets cover all topics tested in JEE Main, JEE Advanced, and NEET UG.
Are these resources updated for CBSE 2025–26 curriculum?: Yes, all formula sheets and study resources are aligned with the latest CBSE syllabus for the 2025–26 academic year.

About GyanAI

GyanAI is a free AI tutor for CBSE students — designed for Indian school students in Classes 6–12. GyanAI helps students understand NCERT concepts conversationally with step-by-step explanations. Browse our research on student learning patterns or explore our study blog for more tips.