maths

• area of a circle

  
• surface area of a sphere

  
• surface area of a cone

  πr x slanted length x πr^2
• volume of cone

  
• volume of a sphere

  
• area of trapezium


  1/2(a+b) x height
• circumference of a circle

  π x d
• volume of a cuboid

  l x w x h
• volume of a cylinder

  
• volume of a pyramid

  1/3 x area of base x h
• distance


  speed x time
• density


  mass/volume
• pressure


  force/area
• Pythagoras' Theorem


  a^2 + b^2 = c^2
• Quadratic equation


  when ax^2 + bx + c = 0

  
• Sine rule


  a/sinA = b/sinB = c/sinC
• Cosine rule

  
• Area of a triangle

  1/2 x a x b x sinC
• area of a sector

  angle/360 x area of full circle
• segment area


  sector area - area of triangle
• x angles


  equal

  
• corresponding angles


  equal

  
• alternate angles


  equal

  
• co-interior angles


  add to 180

  
• total of exterior angles

  360

  
• 1 exterior angle


  360/number of sides
• sum of interior angles

  (sides - 2) x 180
• a^m x b^n


  ab^m+n
• a^m / b^n


  a/b^m-n
• a^0


  1
• a^1


  a
• (a^m)^n


  a^mxn
• (a/m)^n


  a^n/m^n
• a^-m


  1/a^m
• a^m/n


  (^n√a)^m
• 3D Pythagoras' theorem


  a^2 + b^2 + c^2 = d^2
• when to use cosine rule

  2 sides and an angle enclosed by them

  all 3 sides no angle
• when to use sine rule

  2 angles any side

  2 sides and an angle thats not enclosed by them
• inverse functions


  replace x's with y's and make everything equal to x

  make y the subject

  replace the y with f^-1(x)
• y=f(x)+a


  translation in the y-axis (move up or down by the amount of a eg. +2 = move up 2)