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GRE math

QuestionAnswer
1^2 1
2^2 4
3^2 9
4^2 16
5^2 25
6^2 36
7^2 49
8^2 64
9^2 81
10^2 100
11^2 121
12^2 144
13^2 169
14^2 196
15^2 225
16^2 256
17^2 289
18^2 324
19^2 361
20^2 400
4^1/2 2
9^1/2 3
16^1/2 4
25^1/2 5
36^1/2 6
49^1/2 7
64^1/2 8
81^1/2 9
100^1/2 10
121^1/2 11
144^1/2 12
169^1/2 13
196^1/2 14
225^1/2 15
256^1/2 16
289^1/2 17
324^1/2 18
361^1/2 19
400^1/2 20
2^3 8
3^3 27
4^3 64
5^3 125
6^3 216
7^3 343
8^3 512
9^3 729
10^3 1000
8^1/3 2
64^1/3 4
27^1/3 3
125^1/3 5
216^1/3 6
343^1/3 7
512^1/3 8
729^1/3 9
1000^1/3 10
Circumference of a circle C=2πr or πd
Area of a square A=s^2
Area of a rectangle A=L*W
Area of a parallelogram A=B*H
Area of a trapezoid A = ((height)(base1+base2))/2
Area of a triangle A=(B*H)/2
Units of perimeter inches, meters, etc.
Units of area square inches, meters, etc.
Tangent Straight line that touches outer edge of circle, has one point in common with circle
Chord Line segment with endpoints that lie on a circle. (lines that start and stop at the perimeter of a circle)
Right triangle A triangle inscribed within a circle and that has one side that is a diameter of that circle
Volume of a cube S∧3
Volume of rectangular box L*W*H
Surface area of an object The sum of the area of each of the rectangular sides
Surface area of a rectangular solid 2Lw + 2wh + 2Lh
Surface area of a cube 6s^2
Volume of a sphere (4πr^3)/3
Surface area of a sphere 4πr^2
Volume of a cylinder hπr^2
Surface Area of a cylinder 2π(r^2)+2πrh
Quadratic Equation -b±(( b^2)-4ac)^1/2))/2a
Sum of all interior angles in a triangle 180 degrees
Equilateral Triangle A triangle with equal side and angle measurements (each angle equals 60 degrees)
Isoceles Triangle Triangles with two equal interior angles and sides opposite the equal angles are also equal in length
Right triangle Have 1 angle that measure 90 degrees
Pythagorean theorem Calculates length of hypothenuse of right triangle a2+b2=c2
45-45-90 Right triangle Ratio of the sides is 1:1:square root of 2.
30-60-90 right triangle Ratio of the sides is 1 :square root of 3:2. shortest side is opposite the 30-degree angle.
3-4-5 Right triangle Short side=3, middle=4 and hypotenuse=5, this ratio can be applied to 18,24,30 triangle, etc.
Distance formula (find distance between two points on a line) =((x1-x2)^2+(y1-y2)^2)^1/2
Slope formula (y1-y2)/(x1-x2)
Find y-intercept plug slope and one set of coordinates into y=mx+b and solve for b
Find x-intercept plug slope, 0 for y and b into the equation solve for x
Sum of the interior angles of a polygon =(#of sides-2)x180; i.e. triangle (3sides-2)=1*180=180
Formula for distance d = (r)(t) or Distance = rate (or speed)xtime
3x3 9
3x4 12
3x5 15
3x6 18
3x7 21
3x8 24
3x9 27
3x12 36
3x13 39
4x4 16
4x5 20
4x6 24
4x7 28
4x8 32
4x9 36
4x12 48
4x13 52
5x5 25
5x6 30
5x7 35
5x8 40
5x9 45
5x12 60
5x13 65
6x6 36
6x7 42
6x8 48
6x9 54
6x12 72
6x13 78
7x7 49
7x8 56
7x9 63
7x12 84
7x13 91
8x8 64
8x9 72
8x12 96
8x13 104
9x9 81
9x12 108
9x13 117
11x11 121
11x12 132
11x13 143
12x13 156
Distance formula d=r*t
What are the 2 main types of motion problems you will encounter 1. opposite direction (collision) 2. same direction different speeds 3. round-trip
Opposite direction equation ---><---- d1+d2=total distance
Same direction problems ---->---> d1=d2
area of a circle πr^2
What is mode The number the occurs the most
Which lines have opposite reciprocal slopes perpendicular
Which lines have the same slopes parallel
What is reciprocal 1/2 & 2/1.... 3/4 & 4/3
What is area of a triangle? area=1/2*b*h
What are the sides for an isosceles right triangle? 45' 45' 90' side Length=x; Base=x; angled side (hypotenosis) = x √ 2
What is obtuse? exceeding 90 degrees but less than 180 degrees
What is acute? one less than 90 degrees
What is circumference of a circle? c=pi * D, where D is the diameter.
Created by: laniclough
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