GCSE Maths: Rules

Percentages
1. Adding %
  1. 1.(percentage)
2. Taking away %
  1. 100 - % x 0.____
3. Origional Price
  1. normal price x 0.(100 - %)
  2. sale price / 0.(100 - %)
4. Compound Interest
  1. x 1.(%) and then repeat
  2. x (1.%) to the power 'years'
Expanding Brackets
1. :)
2. F.O.I.L
Symbols
1. + - = +
2. + + = +
3. - - = -
Quadratic Formula
1. -b+- square root b squared - 4ac / 2a
Making the Subject
1. multiply out a denominator
  1. factorise an xy
    1. divide both sides by bracket
Circles
1. πr2 = area
2. πd = circumference
Graphs
1. y = mx + c
  1. m = gradient
    1. gradient = change in y / change in x
  2. c = y intercept
2. Cumulative frequency = vertical axis
3. Interquartile range = upper quartile - lower quartile
4. Histograms
  1. Frequency density = frequency / class width
  2. Area = Frequency
HCF & LCM
1. LCM = multiply all the numbers
2. HCF = multiply the middle numbers
Angles
1. Corresponding
  2. Look for an F
2. Alternate
  2. Look for a Z
3. Interior
  2. Looks for a C
Area
1. Pyramid
  1. 1/3 x base area x vertical height
2. Curved Surface Area
  1. π x radius x slant height
3. Vol of Sphere
  1. 4/3πr
  2. Surface Area
    1. 4πr2
Perpendicular lines
1. = -1
2. e.g. - 1/4 = 4
Surds
1. E.g. |2 * |3 = |2*3 = |6
2. E.g. |15 / |3 = |5
3. 3|5 * 4|3 = 12|15
Probability
1. and = *
2. or = +

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