CBSE Class 9 Math & Science Formulas — Complete Formula Sheet
CBSE Class 9 is a critical year — it introduces concepts that form the backbone of Class 10 board exams. This free formula sheet covers all important Class 9 math formulas (algebra, geometry, coordinate geometry, statistics) and Class 9 science formulas (laws of motion, gravitation, matter, atoms and molecules), aligned with the NCERT syllabus.
Use this resource for daily revision, pre-exam preparation, and solving NCERT exercises. GyanAI's AI tutor can also help you solve any Class 9 doubt instantly with step-by-step explanations.
Mathematics Formulas — Class 9
Algebra & Polynomials
- Remainder Theorem: p(x) ÷ (x−a) → remainder = p(a)
- Factor Theorem: (x−a) is a factor if p(a) = 0
- (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
- a³ + b³ + c³ − 3abc = (a + b + c)(a² + b² + c² − ab − bc − ca)
Geometry & Triangles
- Heron's Formula: Area = √[s(s−a)(s−b)(s−c)], s = (a+b+c)/2
- Pythagoras Theorem: a² + b² = c²
- Exterior angle = sum of two non-adjacent interior angles
Statistics
- Mean = Sum of all observations / Number of observations
- Median = Middle value when arranged in ascending order
- Mode = Value that appears most frequently
Science Formulas — Class 9
Laws of Motion
- Newton's 2nd Law: F = ma
- v = u + at; s = ut + ½at²; v² = u² + 2as
- Momentum: p = mv
- Impulse = F × t = Δp
Gravitation
- F = Gm₁m₂/r²
- g = GM/R² ≈ 9.8 m/s² (on Earth's surface)
Atoms & Molecules
- Number of particles = (mass / molar mass) × Nₐ (Avogadro's number = 6.022 × 10²³)
Frequently Asked Questions
- What are the most important formulas in CBSE Class 9 Mathematics?
- The most important CBSE Class 9 math formulas include Heron's formula, the three equations of motion (v=u+at, s=ut+½at², v²=u²+2as), algebraic identities for polynomials, coordinate geometry basics, and surface area/volume formulas.
- What are Newton's three laws of motion for Class 9?
- Newton's 1st Law (Law of Inertia): A body remains at rest or in uniform motion unless an external force acts on it. Newton's 2nd Law: F = ma. Newton's 3rd Law: Every action has an equal and opposite reaction.
- Which chapters carry the most marks in Class 9 CBSE Maths?
- High-weightage chapters in CBSE Class 9 Maths are Triangles, Linear Equations in Two Variables, Statistics, Surface Areas and Volumes, and Polynomials.
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