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GRE Math > Handy Things to Remember > Flashcards

Handy Things to Remember Flashcards

1
Q

An integer is divisible by 2 if…

A

…its last digit is divisible by 2.

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2
Q

An integer is divisible by 3 if…

A

…its digits add up to a multiple of 3.

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3
Q

An integer is divisible by 4 if…

A

…its last two digits are a multiple of 4.

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4
Q

An integer is divisible by 5 if…

A

…its last digit is 0 or 5.

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5
Q

An integer is divisible by 6 if…

A

…if it is divisible by 2 and 3. (Last digit divisble by 2, Digits add up to a multiple of 3.)

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6
Q

An integer is divisible by 9 if…

A

…its digits add up to a multiple of 9.

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7
Q

1/20 –> Percent

A

5% –> Fraction

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8
Q

1/2 –> Percent

A

50% –> Fraction

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9
Q

1/12 –> Percent

A

8 1/3% –> Fraction

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10
Q

3/5 –> Percent

A

60% –> Fraction

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11
Q

1/10 –> Percent

A

10% –> Fraction

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12
Q

5/8 –> Percent

A

62 1/2% –> Fraction

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13
Q

1/8 –> Percent

A

12 1/2% –> Fraction

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14
Q

2/3 –> Percent

A

66 2/3% –> Fraction

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15
Q

1/6 –> Percent

A

16 2/3% –> Fraction

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16
Q

1/5 –> Percent

A

20% –> Fraction

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17
Q

1/4 –> Percent

A

25% –> Fraction

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18
Q

3/10 –> Percent

A

30% –> Fraction

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19
Q

1/3 –> Percent

A

33 1/3% –> Fraction

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20
Q

3/8 –> Percent

A

37 1/2 % –> Fraction

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21
Q

2/5 –> Percent

A

40% –> Fraction

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22
Q

7/10 –> Percent

A

70% –> Fraction

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23
Q

3/4 –> Percent

A

75% –> Fraction

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24
Q

4/5 –> Percent

A

80% –> Fraction

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25
Q

5/6 –> Percent

A

83 1/3% –> Fraction

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26
Q

7/8 –> Percent

A

87 1/2% –> Fraction

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27
Q

9/10 –> Percent

A

90% –> Fraction

28
Q

11/12 –> Percent

A

91 2/3% –> Fraction

29
Q

Percent Increase

A

Increase (100%) / Original — Increase is New-Original.

30
Q

Percent Decrease

A

Decrease (100%) / Original — Decrease is New-Original.

31
Q

Factor a^2 - b^2

A

(a+b)(a-b)

32
Q

Factor a^2 + 2ab + b^2

A

(a+b)(a+b)

33
Q

Factor a^2 - 2ab + b^2

A

(a-b)(a+b)

34
Q

Define

MEDIAN

A

the middle term in a group of terms that are arranged in numerical order

35
Q

Define

MODE

A

the term that appears most frequently in a set of numbers

36
Q

Combination Formula

A

…. where n is the number of items in the group as a whole &

…. where k is the number of items in each sub-group formed

37
Q

Give an example of a

Permutation

A

Ex:

for a set containing A, B, and C, the possible permutations for three-letter combinations are:

ABC, ACB, BCA, BAC, CAB, CBA

38
Q

How many PERMUTATIONS (arrangements, orders, ways) are possible given set X?

A

_ _ _ _ for the number of spaces in the result

becomes

(Total)(Total-1)(Total-2)(Total-3) until all of the _ _ _ _ spots are taken

39
Q

Probability

A

Number of desired Outcomes

Number of possible Outcomes

40
Q

Probability of Event NOT Happening

A

1 - (prob of event happening)

41
Q

Probability of Dependent Events

A

(probability of 1st event)*(probability of 2nd event)

42
Q

Area of Parallelogram

A

Area = base*height

43
Q

Value of

π

A

3.14

44
Q

Perimeter of a Circle

A

Circumference

Diameter

45
Q

Circumference of a Circle

A

C = 2 π r

46
Q

Define Central Angle of a Circle

A

the central angle is the angle formed in the center of the circle by two radii

(in example, AXB would be the central angle)

47
Q

Define

ARC of a circle

A

the arc is asection of the circumference of the circle

(Ex: Arc AB)

48
Q

Arc Length

A

Arc Length = Circumference * (n/360)

49
Q

Define

Sector of a Circle

A

a sector is the portion of a circle’s interior that is bounded by two radii and an arc

(Ex: sector is shaded grey)

50
Q

Area of a Circle

A

A = π r2

51
Q

Area of a Sector

A

Area of a Sector =

(n/360)*(Area of Circle) =

(n/360)*π*r2

52
Q

Define

Chord of a Circle

A

a line segment that joins two points on the circle

the longest chord of a circle is its diameter

53
Q

Define

Tangent of a Circle

A

a line that touches only one point on the circumference of the circle

a line drawn tangent to a circle is perpendicular to the radius at the point of tangency

54
Q

Slope

(m)

A

slope = rise/run

(slope = deltaY/deltaX)

55
Q

Equation of a straight line

A

y = mx + b

m: slope=rise/run
b: the value of y where x=0 (y-intercept)

56
Q

Volume

of a Rectangular Solid

(Cube or Box)

A

Volume = length*width*height

57
Q

Surface Area

of a Rectangular Solid

(Cube or Box)

A

Surface Area = Sum of Areas of Faces

= 2lw+2lh+2wh

58
Q

Volume

of a Cylinder

A

volume of a cylinder =

(area of base)(height) =

πr2h

59
Q

Lateral Surface of a Cylinder

A

Lateral Surface is the surface of the cylinder that is NOT the bases.

Lateral Surface = (Circumference of Base)*(Height)

=2πrh

60
Q

Total Area of a Cylinder

A

total Area of a Cylinder

= (area of base) + (area of lateral surface)

= 2*πr2+2πrh

61
Q

Give 3 examples of

Pythagorean Triples

(three whole numbers that satisfy the Pythagorean Theorem)

A

3, 4, 5

6, 8, 10

5, 12, 13

62
Q

Pythagorean Theorem

A

c2 = a2 + b2

…where c =hypotenuse

….where a=leg

…where b=leg

63
Q

Quadratic Equation

A
64
Q

What are the lengths of the hypotenuse and other leg of a 30-60-90 triangle? (shortest leg is x)

A
65
Q

What is the length of the hypotenuse in a 45-45-90 traingle?

A

GRE Math (1 decks)

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