GMAT formulas

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GMAT Formulas
Algebra Formulas
Exponential Equations xnxm = xn + m
(xn)/(xm) = x n - m
(x/y)n = (xn)/(yn) xnyn = (xy)n
(xy)z = xyz x-n = 1/(xn)
1n = 1 x0 = 1
0n = 0, except 00 = 1
FV = CV(1 + g)T

Other
Distance = Rate*Time
Wage = Rate*Time

Arithmetic Formulas
Combinatorics
Combinations:nCk = n!/((n-k)k!)!
Permutations:nPk = n!/(n-k)!
Circular: (n-1)! k = number of objects selected from a pile of n objects n = total number of objects from which k objects can be selected

Fractions
(a/b)/(c/d) = (a/b) * (d/c)

Percents
Percent Change, as a decimal = (New - Old)/Old
N = (1 + G)O; N = New Value, 0 = Old Value, G = Growth Rate as decimal

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Number Properties
(Odd)(Even) = Even
(Odd)(Odd) = Odd
(Even)(Even) = Even
(Odd) ± (Even) = Odd
(Odd) ± (Odd) = Even
(Even) ± (Even) = Even
(Positive)(Positive) = Positive
(Positive)(Negative) = Negative
(Negative)(Negative) = Positive
(Positive)/(Negative) = Negative
(Positive)/(Positive) = Positive
(Negative)/(Negative) = Positive

Statistics
Average (Arithmetic Mean): (sum of all numbers)/(number of numbers)

Geometry Formulas
Angles
Sum of Interior Angles of Polygon = (n-2)(180) n = number of sides of a polygon
Central Angle = 2(Inscribed Angle)

Area
Square: A = a2
Rectangle: A = lw
Parallelogram: A = bh
Trapezoid: A = .5(a+c)h, where a and c are the lengths of the parallel sides

Circles π = pi = 3.1415
Area: A = πr2
Circumference: C = 2πr
Central Angle = 2(Inscribed Angle)
Area of Sector = (x/360)πr2

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