maths

• Area of a square/rectangle

  b x h
• Volume of a cube/cuboid


  b x h x w
• Area of a triangle

  1/2 x b x h
• Area of a circle

  πr(squared)
• Circumference of a circle

  πd or 2πr
• Volume of a cylinder


  πr(squared)h
• Volume of a cone

  1/3πr(squared)h
• Volume of a sphere

  4/3πr(cubed)
• Volume of any prism

  Area of cross section x length
• Volume of a pyramid


  1/3 x base area x height
• Surface area of a sphere

  4πr(squared)
• Curved surface area of a cone


  πrl (l=slant)

  
• Surface area of a cylinder

  2πrh
• Pythagoras' Theorem


  H (squared) = a (squared) + b (squared)

  
• Sine ratio


  S = O/H
• Cosine ratio


  C = A/H
• Tangent ratio


  T=O/A
• The quadratic formula


  x = b +- (square root) b (squared) - 4 a c ÷ 2 a

  
• Sine rule for sides


  a / SinA = b /SinB = c/SinC
• Sine rule for angles

  SinA/a = SinB/b = SinC/c
• Cosine rule for sides

  a(squared)=b(squared)+c(squared)-2bcCosA

  
• Cosine rule for angles

  CosA = b(squared)+c(squared)-a(squared) ÷2bc

  
• Sine 0


  0 = (squareroot) 0/2
• Sine 30


  1/2 = (squareroot) 1/2
• Sine 45


  (squareroot) 2/2
• Sine 60


  (squareroot) 3/2
• Sine 90


  1 = (squareroot) 4/2
• Cosine 0


  1 = (squareroot) 4/2
• Cosine 30


  (squareroot) 3/2
• Cosine 45


  (squareroot) 2/2
• Cosine 60


  (squareroot) 1/2
• Cosine 90


  0 = (squareroot) 0/2
• Tangent 0


  0
• Tangent 30


  1 ÷ (squareroot) 3
• Tangent 45


  1
• Tangent 60


  Squareroot 3
• Tangent 90


  ∞
• BIDMAS


  Brackets, Indices, Division, Multiplication, Addition and Subtraction
• Mode


  The number that appears the most
• Median


  The number directly in the middle after ordering