GRE Math
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Percent Change
(Amt change/ original amt) x 100
Exponent opperations
**Need the same base**
Multiplying exponents
: add the exponents and keep the same base
Dividing exponents
: subtract the exponents and keep the same base
Raise a power to a power
: multiply the exponents
Negative exponents
: 1/exponent expression
Fraction exponents
: root of the expression
**Do NOT add or subtract exponents or roots**
Absolute Value
Never negative
Multiplying Binomials
FOIL
Factoring Squares
Factoring Binomials
a
^{2 }
- b
^{2}
= (a-b)(a+b)
a
^{2}
+2ab + b
^{2}
= (a+b)
^{2}
a
^{2}
-2ab + b
^{2}
= (a-b)
^{2}
Quadratic Equation
ax
^{2}
+ bx + c = 0
Finding the distance between two points
Midpoint
d= sqrt (x
_{1}
-x
_{2}
)
^{2}
+ (y
_{1}
- y
_{2}
)
^{2}
M= (x
_{1}
+x
_{2}
)/2 , (y
_{1}
+y
_{2}
)/2
Slope
Midpoint
m=slope= rise/run
(y
_{1}
-y
_{2}
) = m(x
_{1}
-x
_{2}
)
Circles and Angles (central and inscribed)
central: angle = arc
inscribed: angle = arc x2
Area of a triangle
(1/2)base x height
Adding fractions
"magic x"
(3/7) + (2/9) = 7
3x9 = 27
7x2 = 14
41
9x7 = 63 (41/63) = 7
Polygons
(3+ sides)
sum of interior angles
: (n-2)180
sum of exterior angles: 360
Types of triangles
Isosceles
: 2 equal sides and angles
Equilateral
: 3 equal side and angles
Right
: 90 degree angle: a
^{2}
+ b
^{2}
= c
^{2}
3-4-6: 6-8-10
30-60-90: x - sqrt3 - 2x
5-12-13
45-45-90: 1 - 1 - sqrt 2
Parallelograms
A = base x height
supplemental angels = 180
Circles
Circumference: 2(pi)r
Area: (pi)r
^{2}
Surface area
-rectangular solid
-cube
rectangel: 2lw + 2wh + 2lh
cube: 6s
^{2}
Volume
-Rectangle
-Cube
-Cylinder
Rectangle
: lwh
Cube
: l
^{3}
Cylinder
: (pi)r
^{2}
h
Trapezoid
(one pair parallel sides, one pair non-parallel)
a=(( s
_{1}
+ s
_{2}
)/2) xh
Fractions: Decimals: Percentages to Know
(1/2)
: 0.5 : 50%
(1/3)
: 0.33 : 33.3%
(1/4)
: 0.25 : 25%
(1/5)
: 0.2 : 20%
(2/3)
: 0.66 : 66%
(3/4)
: 0.75 : 75%
Percent increase/decrease
Percent increase
: (amt of increase/original whole) x100
Percent decrease
: (amt of decrease/original whole) x100
How to recognize multiples
2
: Last digit is even
3
: Sum of digits is a multiple of 3
4
: Last two digits are a multiple of 4
5
: Last digit is 5 or 0
6
: Sum of digits is a multiple of 3 and last digit is even
9
: Sum of digits is multiple of 9
10
: Last digit is 0
12
: Sum of digits is a multiple of 3, and last two digits are a multiple of 4
Common Squared Numbers
1
: 1
2
: 4
3
: 9
4
: 16
5
: 25
6
: 36
7
: 49
8
: 64
9
: 81
10
: 100
11
: 121
12
: 144
13
: 169
14
: 196
15
: 225
Common Square roots
225
: 15
196
: 14
169
: 13
144
: 12
121
: 11
Card Set Information
Author:
lsleiter
ID:
40214
Filename:
GRE Math
Updated:
2010-10-06 17:36:17
Tags:
GRE Math
Folders:
Description:
Formulas
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