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GRE Math > Quant > Flashcards

Quant Flashcards

1
Q

Primes

A

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

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2
Q

% change formula

A

(change amount/original amount)*100

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3
Q

Slope

A

Rise/Run –> (y2-y1)/(x2-x1)

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4
Q

Special Products: Difference of Squares

A

x^2-y^2 –> (x+y) (x-y)

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5
Q

Special Products: (x+y)^2

A

x^2+2xy+y^2

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6
Q

Special Products: (x-y)^2

A

x^2-2xy+y^2

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7
Q

Area of a Triangle

A

area = 1/2 base*height

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8
Q

Angles in a Triangle

A

All angles sum to 180* –> x+y+z=180

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9
Q

Similar Triangles

A

Similar Triangles have all the same angles and sides that are proportionate (a:c equals d:f)

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10
Q

The Side Rule

A

The third side of a triangle is greater than the difference of the other two sides and less than their sum (a+b) > c > (b-a)

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11
Q

Area of a rectangle

A

length * width

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12
Q

Area of a square

A

side^2

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13
Q

Area of a parallelogram

A

base * height

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14
Q

Sum of angles in a polygon

A

sum of angles in a polygon = 180(n-2) –> (n = number of sides)

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15
Q

volume of a box

A

volume = lwh

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16
Q

surface area of a box

A

2lw + 2wh + 2lh

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17
Q

volume of a cylinder

A

volume = ∏r^2h

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18
Q

Surface area of a cylinder

A

Surface area = 2∏r^2 + 2∏rh

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19
Q

Central angle

A

A central angle has a vertex that lies at the center point of the circle. An inscribed angle has its vertex on the circle itself rather than on the center of the circle. An inscribed angle is equal to half of the arc it intercepts

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20
Q

Diameter of a circle

A

2r - if one of the sides of an inscribed triangle is a diameter of the circle, then the triangle must be a right angle.

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21
Q

Area of a circle

A

Area = ∏r^2

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22
Q

Circumference

A

∏d OR 2∏r

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23
Q

Pythagorean Theorem

A

In a right triangle, a^2 + b^2 = c^2 –> where a and b are the legs (shorter sides) and c is the hypotenuse

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24
Q

Pythagorean Triples

A

The most common are: 3-4-5, 5-12-13, 7-24-25, and 8-15-17

25
Q

Angle/side relationship

A

Side length corresponds with angle size.

26
Q

Special Right Triangles

A

30-60-90 and 45-45-90

27
Q

Isosceles Triangle

A

Two sides are the same length

28
Q

Equilateral Triangle

A

All sides are the same length and all angles are 60*

29
Q

Sector

A

Sector area and arc length are proportional to angle size. Here, the angle is 60. Since there are 360 in a circle, the sector (grey area) takes up 1/6 of the circle. Thus, its area is 1/6 of the total area, and its arc length is 1/6 of the circumference.

30
Q

Lines and Angles Equation

A

All angles in a line add to 180* –> x+y = 180

31
Q

Parallel Lines

A

When a line intersects with two parallel angles, the resulting intersections are identical

32
Q

Intersecting Lines

A

When two lines intersect, opposite angles are equal

33
Q

Distance Formula

A

√(x2-x1)^2 + (y2-y1)^2

34
Q

Line Equation on a graph

A

y=mx+b –> m=slope, b=y-intercept

35
Q

Midpoint Formula

A

((x1+x2)/2, (y1+y2)/2)

36
Q

Find Degrees of Polygons (i.e hexagon)

A

(n-2) * 180

37
Q

Find the degree of a single angle of a polygon (i.e hexagon)

A

(n-2) * 180/n

38
Q

Evenly Spaced List Formulas

A

Mean = median
Mean OR Median = (first + last)/2)
# of #’s for consecutive integers = (last - first/1) + 1
# of #’s for odd integers = (last - first/2) + 1
Sum = (# of #’s) * mean

39
Q

Percent/Fraction/Decimal Conversions: 1%

A

1/100 - .01

40
Q

Percent/Fraction/Decimal Conversions: 5%

A

1/20 - .05

41
Q

Percent/Fraction/Decimal Conversions: 12.5%

A

1/8 - .125

42
Q

Percent/Fraction/Decimal Conversions: 25%

A

1/4 - .25

43
Q

Percent/Fraction/Decimal Conversions: 33.33%

A

1/3 - .33333

44
Q

Percent/Fraction/Decimal Conversions: 37.5%

A

3/8 - .375

45
Q

Percent/Fraction/Decimal Conversions: 40%

A

2/5 - .4

46
Q

Percent/Fraction/Decimal Conversions: 50%

A

1/2 - .5

47
Q

Percent/Fraction/Decimal Conversions: 60%

A

3/5 - .6

48
Q

Percent/Fraction/Decimal Conversions: 80%

A

4/5 - .8

49
Q

Percent/Fraction/Decimal Conversions: 87.5%

A

7/8 - .875

50
Q

Percent/Fraction/Decimal Conversions: 90%

A

9/10 - .9

51
Q

When I see comparison (>0, <0)

A

I know I’m dealing with positives and negatives

52
Q

When I see x^2

A

I know the result is positive OR 0 but x itself can be positive, negative or 0

53
Q

When I see x & y do not intersect

A

I know Line x & y are parallel

54
Q

When I see x only has one factor, m, such that 1<m<x

A

I know integer x is prime

55
Q

When I see x^4-9 OR x^2-1

A

I know this is a special product (difference of squares: x^2-y^2 = (x+y)(x-y)

56
Q

When I see (-1)^2x vs. (-1)^2x+1

A

I know 2x is even and 2x+1 is odd, therefore the first quantity is positive and the second is negative → true for all values of x

57
Q

What percentage falls between 1 standard deviation in both directions of a normal distribution?

A

68%

58
Q

What percentage falls between 2 standard deviations in both directions of a normal distribution?

A

95%

GRE Math (1 decks)

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