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CBSE Class 9 Maths Syllabus with Key Formulas 📐✨

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Mastering Class 9 Mathematics is crucial for building a strong foundation in the subject. At CBSEJanta.com, we provide detailed chapter-wise solutions, along with key formulas to simplify your learning process.


CBSE Class 9 Maths Syllabus – Chapter Names & Important Formulas

Chapter NumberChapter NameKey Formulas
1Number Systems– Rational Numbers, Irrational Numbers, Real Numbers
– Decimal Expansion: Terminating and Non-Terminating
2Polynomials– Zeros of a Polynomial
– Algebraic Identities:
(a + b)² = a² + 2ab + b²
(a – b)² = a² – 2ab + b²
(a + b)(a – b) = a² – b²
3Coordinate Geometry– Distance Formula: d = √[(x₂ – x₁)² + (y₂ – y₁)²]
– Section Formula: [(x₁ + kx₂)/(k + 1), (y₁ + ky₂)/(k + 1)]
4Linear Equations in Two Variables– General Form: ax + by + c = 0
– Graphical Solution of Linear Equations
5Introduction to Euclid’s Geometry– Euclid’s Postulates and Axioms
– Basic Definitions of Point, Line, Plane
6Lines and Angles– Sum of Angles in a Triangle: 180°
– Vertically Opposite Angles Are Equal
– Linear Pair Axiom: ∠1 + ∠2 = 180°
7Triangles– Pythagoras Theorem: a² + b² = c² (In Right-Angled Triangles)
– Congruence Criteria (SSS, SAS, ASA, RHS)
– Area of a Triangle: ½ × base × height
8Quadrilaterals– Sum of Interior Angles of a Quadrilateral = 360°
– Parallelogram Area: base × height
9Areas of Parallelograms and Triangles– Area of Triangle: ½ × base × height
– Area of Parallelogram: base × height
10Circles– Circumference: 2πr
– Area of Circle: πr²
– Angle Subtended by Arc at Centre = 2 × Angle Subtended at Any Point on the Circle
11Constructions– Basic Geometrical Constructions (Bisecting Angles, Drawing Perpendiculars)
12Heron’s Formula– Heron’s Formula: √[s(s – a)(s – b)(s – c)], where s = (a + b + c)/2
13Surface Areas and Volumes– Surface Area of Cube: 6a²
– Surface Area of Sphere: 4πr²
– Volume of Cylinder: πr²h
– Volume of Cone: ⅓πr²h
14Statistics– Mean = (Σx)/n
– Mode = Value with Highest Frequency
– Median = Middle Value of the Ordered Data
15Probability– Probability of an Event: P(E) = (Number of Favorable Outcomes) / (Total Outcomes)

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