SAT Math



Equations


TermsDef/Formula
Averageaverage = sum of terms/number of terms
Average speedaverage speed = total distance/total time
Sumsum = average × (number of terms)
Modemode = value in the list that appears most often
Medianmedian = middle value in the list (which must be sorted)

Example: median of {3, 10, 9, 27, 50} = 10
Example: median of {3, 9, 10, 27} = (9 + 10)/2 = 9.5
Probabilityprobability = number of desired outcomes/number of total outcomes
Integers. . . , -3, -2, -1, 0, 1, 2, 3, . . .
Rationalsfractions, that is, anything expressable as a ratio of integers
Realsintegers plus rationals plus special numbers such as √
2, √
3 and π

Arithmetic Sequences


  • each term is equal to the previous term plus d
  • Sequence: t1, t1 + d, t1 + 2d, . . .
  • Example: d = 4 and t1 = 3 gives the sequence 3, 7, 11, 15, . . .

Geometric Sequences


  • each term is equal to the previous term times r
  • Sequence: t1, t1 · r, t1 · r2, . . .
  • Example: r = 2 and t1 = 3 gives the sequence 3, 6, 12, 24, . . .

Order Of Operations


  • PEMDAS
    (Parentheses / Exponents / Multiply / Divide / Add / Subtract)

Factors


  • the factors of a number divide into that number without a remainder
  • Example: the factors of 52 are 1, 2, 4, 13, 26, and 52

Multiples


  • the multiples of a number are divisible by that number without a remainder
  • Example: the positive multiples of 20 are 20, 40, 60, 80, . . .

Percents


  • use the following formula to find part, whole, or percent
  • part = percent/100 × whole

Free resources for SAT Math



SAT Math Quiz 1

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