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.