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- GMAT Math Formulas

Cassidy E.

xn*xm =

xn + m

(xn)/(xm) =

x n - m

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(x/y)n =

(xn)/(yn)

xn*yn =

(xy)n

(xy)z =

xyz

x-n

1/(xn)

1n =

1.0

x0

1.0

0n =

0, except 00 = 1 or undefined

FV =

CV(1 + g)T

Distance =

Rate*Time

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Wage

Rate*Time

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

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

(a/b) * (d/c)

Percent Change, as a decimal =

(New - Old)/Old

N = (1 + G)O; N =

New Value, 0 = Old Value, G = Growth Rate as decimal

(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

Average (Arithmetic Mean):

(sum of all numbers)/(number of numbers)

Sum of Interior Angles of Polygon =

(n-2)(180)

n =

number of sides of a polygon

Central Angle =

2(Inscribed Angle)

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

π = pi =

3.1415

Cicle Area: A =

πr2

Circumference: C =

2πr

Central Angle =

2(Inscribed Angle)

Area of Sector =

(x/360)πr2

Square: P =

4l

Rectangle: P =

2w + 2l

Parallelogram: P =

2b + 2a, where a and b are the lengths of the non-parallel sides

Circle: P =

2πr

Triangle Area: A =

.5bh

Pythagorean Theorem: A2 + B2 =

C2 where A = one leg, B = the other leg, C = hypotenuse

Cube: V =

a3 where a is the length of a side

Cylinder: V =

πr2h

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