Maths

• Area of a cylinder

  2 pie r squared + 2 pie r h
• area of a pyramid

  base + area of all triangles
• area of a cone

  pie r l + pie r squared
• area of a sphere

  4 pie r squared
• Volume of a prism

  Area of base x perpandicular height
• volume of a clyinder

  b x h
• volume of a pyramid

  1/3 x a x h
• volume of a cone

  1/3 x pie r squared x h
• volume of a sphere

  4/3 x pie r cubed
• all 0 in between are sig figures?

  true
• leading 0 dont count

  True
• trailing 0 count with decimal point

  true
• trailing 0 dont count without decimal point

  true
• scientific notation

  m x 10 power of n
• length converstion

  mm-cm-m-km = divided by 10 100 and 100

  km-m-cm-mm = times by 1000 100 10
• volume converstions

  ml-l-kl-ML- = divided by 1000

  ML-kl—ml = times by 1000
• weight converstions

  mg-g-kg-t = divided by 1000

  t-kg-g-mg = times by 1000
• storage converstions

  kilo-mega-giga-tera = divided 2 power of 10

  tera-giga-mega-kilo = times 2 power of 10
• multipying indices 


  multiply number

  add indices
• dividing indices

  divide numbers

  subtract indices
• (ab) power to m

  everything on the outside goes to the inside
• (a/1) power to negitive 1

  1/a power to positive 1
• a to the power of a

  1
• 1/a

  a to the power of negitive 1
• a 1/2

  square root of a
• adding and subtracting like terms algebraic fractions

  to add or subtract convert them so they have the same denominator, then add or subtract numerators
• multiplying and dividing algebraic fractions

  multiply- cancel accross common factors then multiply the numeratrs and denominator

  divide- swopped around 2nd fraction then multiply
• factorising

  the highest common factor of two ir more terms is the largest term that is a a factor of all of them

  step 1: find te HCF of the numbers

  step 2: find the HCF of the variables 

  step 3: multiply together
• factorising

  to factorise an expression 

  step 1: find the HCF of the terms and write it outside the brackets 

  step 2: divide each term by the HCF and write the answers inside the brackets 

  ab + ac = a(b + c)
• expanding binomial products 


  area diagram or foil method

  1. squared
  2. letter not squared
  3. no letter
• difference of two squares

  (a + b)(a - b) = a squared - b squared
• perfect squares

  (a + b) squared = a squared + 2ab + b squared
• factorising special binomial products

  a squared - b squared = (a + b)(a - b)
• how to rationalise a surd

  21/square root of 7

  1. multiply top and bottom with surd
  2. 21 square root 7 / 7 (square root cancels square root)
  3. simplify