📐 Arithmetic

• Addition: a+ba + ba+b

• Subtraction: a−ba - ba−b

• Multiplication: a×ba \times ba×b or ababab

• Division: ab\frac{a}{b}ba​

🔢 Algebra

• Square of a number: a2a^2a2

• Cube of a number: a3a^3a3

• Quadratic Formula:
  x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=2a−b±b2−4ac​​

• Factoring (Difference of Squares):
  a2−b2=(a−b)(a+b)a^2 - b^2 = (a - b)(a + b)a2−b2=(a−b)(a+b)

📏 Geometry

• Perimeter of a rectangle: P=2(l+w)P = 2(l + w)P=2(l+w)

• Area of a rectangle: A=l×wA = l \times wA=l×w

• Area of a triangle: A=12×b×hA = \frac{1}{2} \times b \times hA=21​×b×h

• Area of a circle: A=πr2A = \pi r^2A=πr2

• Circumference of a circle: C=2πrC = 2\pi rC=2πr

🧮 Trigonometry (Basic)

• Pythagoras Theorem: a2+b2=c2a^2 + b^2 = c^2a2+b2=c2

• Basic Trig Ratios:

  • sin⁡θ=oppositehypotenuse\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}sinθ=hypotenuseopposite​

  • cos⁡θ=adjacenthypotenuse\cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}cosθ=hypotenuseadjacent​

  • tan⁡θ=oppositeadjacent\tan \theta = \frac{\text{opposite}}{\text{adjacent}}tanθ=adjacentopposite​

📊 Statistics

• Mean (Average): Mean=Sum of all valuesNumber of values\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}Mean=Number of valuesSum of all values​

• Median: Middle value when numbers are ordered

• Mode: Most frequent value