Maths

• Quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a
• Density (d) = volume (V) / mass (m)
• Pressure (p) = area (A) / force (F)
• Area of a triangle = 1/2 base x height
• Area of a Parallelogram = base x height
• Area of a Trapezium = 1/2 (a + b) x height
• Sum of interior angles for a regular polygon = (number of sides - 2) x 180
• Interior angle of a regular polygon = (number of sides - 2) x 180 / number of sides
• Exterior angle of a regular polygon = 360 / number of sides
• Circumference = 2πr = πd
• Area = πr^2
• Volume of a prism = area of cross section x length
• Volume of a cylinder = πr^2 x height
• Volume of a pyramid = 1/3 x area of base x vertical height
• Volume of a sphere = 4/3 x π x r^3
• Surface area of a sphere = 4πr^2
• Surface area of a (right angled) cylinder = 2πrh + 2πr^2
• Volume of a cone = 1/3 x πr^2 x height
• Curved surface area of cone = πrl (l is the slant height)
• Pythagoras’ theorem: a^2 + b^2 = c^2
• sin(x) = opposite / hypotenuse
• cos(x) = adjacent / hypotenuse
• tan(x) = opposite / adjacent
• Sine rule: a / Sin A = b / Sin B = c / Sin C
• Cosine rule: a^2 = b^2 + c^2 - 2bc cos A
• cos(A) = (b^2 + c^2 - a^2) / 2bc
• Area of a triangle: 1/2ab sin(C)
• sin(0) = 0, sin(30) = 1/2, sin(45) = 1/√2, sin(60) = √3/2, sin(90) = 1
• cos(0) = 1, cos(30) = √3/2, cos(45) = 1/√2, cos(60) = 1/2, cos(90) = 0
• tan(0) = 0, tan(30) = 1/√3, tan(45) = 1, tan(60) = √3, tan(90) = -
• Compound interest: New value = original x (1 + percentage/100)^time
• Depreciation: New Value = original x (1 - percentage/100)^time
• Percentage of amount: percentage/100 x amount
• Percentage Change = (new - original) / original x 100
• Histograms: Frequency Density + frequency / class width
• Probability: P(A or B) = P(A) + P(B) - P(A and B)
• P(A and B) = P(A given B) x P(B)
• Equations of motion:

  • v = u + at
  • s (distance) = ut + 1/2 (a x t)^2
  • v^2 = u^2 + 2as