Arithmetic
• Percentage = (Value / Total) × 100
• Profit = SP − CP
• Loss = CP − SP
• Profit % = (Profit / CP) × 100
• Loss % = (Loss / CP) × 100
• Simple Interest = (P × R × T) / 100
• Compound Interest = P(1 + R/100)^T − P
• Average = Sum of observations / Number of observations
• Speed = Distance / Time
• Distance = Speed × Time
• Time = Distance / Speed
• Work = Efficiency × Time
Algebra
• (a + b)^2 = a^2 + 2ab + b^2
• (a − b)^2 = a^2 − 2ab + b^2
• a^2 − b^2 = (a − b)(a + b)
• Quadratic Formula: x = [-b ± √(b² − 4ac)] / 2a
Geometry
• Area of Rectangle = l × b
• Perimeter of Rectangle = 2(l + b)
• Area of Square = a^2
• Perimeter of Square = 4a
• Area of Triangle = ½ × b × h
• Area of Circle = πr^2
• Circumference of Circle = 2πr
Mensuration
• Volume of Cube = a^3
• Total Surface Area of Cube = 6a^2
• Volume of Cuboid = l × b × h
• Volume of Cylinder = πr^2h
• Volume of Cone = (1/3)πr^2h
• Volume of Sphere = (4/3)πr^3
Trigonometry
• sinθ = Perpendicular / Hypotenuse
• cosθ = Base / Hypotenuse