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GRE math
Question | Answer |
---|---|
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. |