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Mathematics Formula Handbook (Class 6–10)

📚 All Formulas | Page-wise | Quick Revision Guide

🔵 CLASS 6 – FORMULA NOTES

📄 Page 1: Number System

  • Even Number = divisible by 2
  • Odd Number = not divisible by 2
  • Prime Number = only 2 factors (e.g., 2, 3, 5)
  • Composite Number = more than 2 factors
  • LCM × HCF = Product of numbers

📄 Page 2: Fractions

  • Fraction = Numerator / Denominator
  • Addition = (a/b + c/d) = (ad + bc)/bd
  • Multiplication = (a/b × c/d) = ac/bd
  • Division = (a/b ÷ c/d) = ad/bc

📄 Page 3: Ratio & Proportion

  • Ratio = a : b = a/b
  • Proportion = a/b = c/d ⇒ ad = bc

📄 Page 4: Basic Geometry

  • Perimeter of Rectangle = 2(l + b)
  • Area of Rectangle = l × b
  • Area of Square = a²
  • Perimeter of Square = 4a

🔵 CLASS 7 – FORMULA NOTES

📄 Page 5: Integers

  • a + (–b) = a – b
  • (–a) × (–b) = +ab
  • (–a) × b = –ab

📄 Page 6: Algebra

  • x + x = 2x
  • ax + bx = (a + b)x
  • (a + b)² = a² + 2ab + b²

📄 Page 7: Simple Interest

  • SI = (P × R × T) / 100

📄 Page 8: Lines & Angles

  • Sum of angles on a line = 180°
  • Vertically opposite angles are equal

🔵 CLASS 8 – FORMULA NOTES

📄 Page 9: Exponents

  • a^m × a^n = a^(m+n)
  • a^m ÷ a^n = a^(m-n)
  • (a^m)^n = a^(mn)

📄 Page 10: Squares & Cubes

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

📄 Page 11: Mensuration

  • Area of Triangle = ½ × b × h
  • Area of Circle = πr²
  • Circumference = 2πr

📄 Page 12: Profit & Loss

  • Profit = SP – CP
  • Loss = CP – SP
  • Profit % = (Profit/CP) × 100

🔵 CLASS 9 – FORMULA NOTES

📄 Page 13: Number System

  • √ab = √a × √b
  • Rational Number = p/q

📄 Page 14: Algebra Identities

  • (a + b)² = a² + 2ab + b²
  • (a – b)² = a² – 2ab + b²
  • (a + b)(a – b) = a² – b²

📄 Page 15: Linear Equations

  • ax + b = 0 ⇒ x = –b/a

📄 Page 16: Geometry

  • Sum of angles of triangle = 180°
  • Exterior angle = sum of opposite interior angles

📄 Page 17: Surface Areas

  • Cube Volume = a³
  • Cuboid Volume = l × b × h

🔵 CLASS 10 – FORMULA NOTES

📄 Page 18: Quadratic Equations

  • ax² + bx + c = 0
  • x = [–b ± √(b² – 4ac)] / 2a

📄 Page 19: Arithmetic Progression

  • nth term = a + (n–1)d
  • Sum = n/2 [2a + (n–1)d]

📄 Page 20: Trigonometry

  • sinθ = Opp/Hyp
  • cosθ = Base/Hyp
  • tanθ = Opp/Base
  • sin²θ + cos²θ = 1
  • 1 + tan²θ = sec²θ

📄 Page 21: Coordinate Geometry

  • Distance = √[(x₂–x₁)² + (y₂–y₁)²]
  • Midpoint = [(x₁+x₂)/2 , (y₁+y₂)/2]

📄 Page 22: Statistics

  • Mean = Σx / n
  • Mode = most frequent value

📄 Page 23: Probability

  • Probability = Favorable / Total outcomes

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