GRE Math Flashcards
(x^a)^b
x^ab
X x X
x^2
x^-a
1//x^a
x^a/x^b
x^a-b
x^ax^b
x^a+b
x^0
1
(negative)^odd
negative
(negative)^even
positive
Speed
distance/time
Average Speed
Total Distance/Total Time
Rate
Quantity of A/ Quantity of B
Percent Increase
{(New amount- original amount)/original amount} x 100%
Percent Decrease
{(Original Amount- New Amount)/ original amount} x 100%
Interior Angles of Triangle
180
Exterior Angles of Triangle
360
Area of Triangle
1/2base x height
Hypotenuse of a 45-45-90 Triangle
2 sides are equal (x). Hypotenuse is x√2
Hypotenuse of a 30-60-90 Triangle
Sides are x, x√3, hypotenuse is 2x
Diameter
2r
Circumfrence
2πr or πd
Area of Circle
πr^2
Area of square
s^2
Area of rectangle
length x width
Area of Parallelogram
base x height
Area of Trapezoid
1/2(base1 +base2)height
Volume of cylinder
πr^2height
Surface area of cylinder
2πr^2 + 2πrh
Volume of Cube
lengh x width x height
Surface Area of Cube
2(lw + lh +wh)
√a√b
√ab
√a/√b
√a/b
a√c +b√c
(a +b)√c
√a +√b
√a+b
ab +ac
a(b+c)
x% of y
y% of x
Slope
(y2-y1)/(x2-x1)
Common Prime Numbers
2,3,5,7,11,13,17,19
Prime Factorization
Factor tree
Distance on a Number Line
Ticks are values and intervals are distance (upper -lower)/number of intervals
Distance of 2 Coordinates
√([x2-x1]^2 + [y2-y1]^2)
Midpoint of 2 Coordinates
(x1 + x2)/2, (y1 +y2)/2
Multiplying or Dividing in Inequalities
By negative number switch the sign, positives stay same
Compound Inequalities
Must add/subtract/multiply and divide all terms
Adding and Subtracting Fractions
Common denominator stays the same, different denominator changes
Multiplying Fractions
Multiply Across
Dividing Fractions
Reciprocal
Probability
When independent events, multiply probability of each
