Maths Formulas

Geometry
  • Area of a triangle: 1/2*h*b

  • Area of a rectangle: L*B

  • Circumference of a circle: 2*pi*r

  • Area of a circle: pi * r²

Measurements
  • Volume of a cube: ( V = a^3 )

  • Volume of a cylinder: ( V = \pi r^2 h )

  • Surface area of a cube: ( SA = 6a^2 )

  • Surface area of a cylinder: ( SA = 2\pi r(h + r) )

Statistics
  • Mean: ( \bar{x} = \frac{{\sum x}}{{n}} )

  • Median: Middle value when data is sorted.

  • Mode: Value that occurs most frequently in a dataset.

Algebra

Cubic Identities

  • (a+b)³ = a³+3a²b+3ab²+b³ or a³+b³+3ab(a+b)

  • (a-b)³ = a³-3a²b+3ab²-b³ or a³-b³-3ab(a-b)

  • (i) (a+b)² = a²+2ab+b²

  • (ii) (a-b)² = a²-2ab+b²

  • (iii) (a²-b²) = (a+b) (a-b)

  • (iv) (x+a) (x+b) = x² + (a+b) x+ab