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Gmat Prep > Gmat Prep > Flashcards

Gmat Prep Flashcards

1
Q

Least Common Multiple

A

Used when adding or subtracting fractions

Use prime facorization and then multiply the numbers. **“multiply pairs and singles” **

84= 2x2x3x7
66=2x3x11

2x2x3x7x11 = 924

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2
Q

Greatest Common Factor

A

used to simplify a fraction

You only multiply the “paris” on each side

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3
Q

Adding & Subtracting Fractions

A

Denominators must be the same to add or subtract across

When using large numbers find the
Least Common Multiple to get the denominators to match!

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4
Q

Multiplying Fractions

A

Reduce diagonally and the multiply across

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5
Q

Divide Fractions

A

Flip and multiply

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6
Q

Exponents

  • Multiplying
  • Dividing
  • Parenthesis
  • Multiplying Parenthesis
  • Negative Reciprical
A

Multiplying - Add Across 22x 23= 22+3= 25

Dividing - Subtract 44 =44-2 = 42
42
Parenthesis - multiply (32)4= 32x4 - 38

MultiplyParenthesis - (23)(33) = (2x3)3

Neg Reciprical a-n = 1 or (_1)_n
an or (a)

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7
Q

What happens to positive fractions with the same numerator but different denominators…

As the denominator increases…

As the denominator decreases…

A

Denominator increases the fraction gets smaller

Denominator decreases the fractions get larger

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8
Q

Inequalitities Multiplied or Divided by a negative you…

A

flip the inequality sign

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9
Q

Radicals/Square Roots

A

Follow same rules as exponents

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10
Q

Distance

A

speed x time

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11
Q

Prime #’s

A

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

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12
Q

Distinct Prime Numbers

A

“different”

ex: 1,050 = 2 x 3 x 5 x 5 x 7

5, Prime #’s
4, Distince Prime #’s

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13
Q

Simple Interest

A

Only applied to the principal, not the interest that has already been accrued

Principal x (1 +rt)

R = interest rate per time period expressed as a decimal<br></br>T = # of time periods

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14
Q

Compound Interest

A

Interest applied to the principal and any previously accrued interest

principal x (1 +r)t

R = interest rate expressed as a decimal
T = # of time periods
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15
Q

Rate

A

quantity A
quantity B

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16
Q

Combined Rate or Work

A

Rate =

# of tasks
time to complete tasks

if more than 2 : <u>1</u> =<u>1</u>+ <u>1</u>+<u>1</u><br></br> t a b c

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17
Q

Combined Rate or Work

  • 2 ppl or 2 machines
A

Total Time =

AB
A + B

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18
Q

Speed

A

Distance
Time

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19
Q

Decimal or Percent 2 a Fraction

A

Multiply by 100

0.17 x 100% = 17%

1/4 x 100 = 25%

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20
Q

% to a Decimal

A

drop % sign and move decimal points
2 places to the left

0.8% = 0.008

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21
Q

% Increase

A

Amount Increase x 100%
Original

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22
Q

% Decrease

A

Amount Decrease x 100%
Original

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23
Q

Standard Deviation

A

how close or far the termas are from the average

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24
Q

To find the sum of any set of #’s

A

Multiply the average by the # of terms

Extra Practie. Page. 804

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25
Q

To find the sum of a sequence of consecutive integers

A

Multiply the average of the largest and smallest term by the # of terms

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26
Q

To find the # of terms in a consecutive sequence

A

take the difference between largest and smallest and add 1

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27
Q

Combinations Formula

Page. 805

A

Used when solving for a # of K unordered selections one can make from group N

nCk = n!
k! (n-k) !

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28
Q

Permutations Formula

Page 806

A

Used when solving for a # of K ordered selections one can make from group N

nPk = _ __n! _
(n-k) !

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29
Q

Probabilty

A

Number of desired outcomes
_______________________________
Number of total possible outcomes

Multiply the fractions by one another.

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30
Q

Average Formula

A

sum of terms
__________________

number of terms

31
Q

Balanced Average

A

The difference between the average and every # below and above it

32
Q

Weighted Average

A

used when you know the average of different portions of the whole

Ex: 2/5 of the studens have a gpa 79 and the remaining 3/5 have an average of 84

(0.4)(79) + (0.6)(84)
31.6 + 50.4
82

33
Q

Average Speed

A

Total Distance
____________________
Total Time

34
Q

What do you do when you have multi-part journey “average” questions

A

you use a chart to organize the data

35
Q

Divisibility Test

A number is divisibly by 2 if…

A

the units digit is even

128 is divided by 2 because 8 is even

177 is not divisiblye by 2 because 7 is not even

36
Q

Divisiblity Test

A number is divisible by 3….

A

if the sum of the digits is divisible by 3

4,317 is divisible because 4 + 3 + 1 + 7 = 15

37
Q

Divisiblity Test

Divisible by 4 if….

A

if the last two digits compose a two-digit number that is divisible by 4

1,732 is divisible by 4 because 32 is divisible by 4

38
Q

Divisibilty Test

Divisible by 5 if….

A

if its units digit is either a 5 or a 0

26,985 is divisible by 5

39
Q

Divisiblity Test

Is divisible by 7 if…

A

the difference between its units digit multiplied by 2 and the rest of the # is a multiple of 7

147 is divisible by 7 because 14 - 7(2) = 0
(which is divisible by 7)

40
Q

Divisiblity Test

Divisible by 8 if…

A

its last three digits compose a three-digit number that is itself divisible by 8

76,848 is divisible by 8 because 848 is divisible by 8

41
Q

Divisiblity Test

Divisible by 9 if…

A

the sum of its digits is divisible by 9

16,956 is divisible by 9 because 1+6+9+5+6=27 which is divisible by 9

42
Q

Divisiblity Test

Divisible by 10 if…

A

its units or digits is zero

67,890 is divisible by zero

43
Q

What is a Supplementary Angle?

A

if two angles when together make a straight line aka 180 degrees

44
Q

What is a Complimentary Angle?

A

if two angle’s together make 90 degrees

45
Q

Area of a Triangle

A

1/2 x base x height

46
Q

Perimeter of a Triangle

A

Add all sides together

47
Q

What are congruent triangles?

A

When different triangles have corresponding angles with the same measure and corresponding sides with the same length.

They’re proportional to one another

48
Q

Pythagorean Theorem ?!

A

holds for ALL right triangles

A2 +B2 = C2

49
Q

“Pythagorean Triples”

A

Right triangles with the lengths (sides)

32+ 42 = 52

6, 8, 10

5, 12, 13

50
Q

Special Right Triangles Ch. 18

For Isosceles Right Triangles
aka 90º 45º 45º

A

90º 45º 45º

X2root2 X X

51
Q

Special Right Triangles Ch. 18

For 30º 60º 90º

A

30º 60º 90º

X X2root3 2X

52
Q

The sum of the interior angles of a Polygon is….

A

(number of sides - 2)180º

53
Q

How do you measure each interior angle in a Regular Polygon

A

(#of sides - 2)180
____________________
# of sides

54
Q

How to find the…

Area of a Rectangle

A

Length x width

55
Q

How to find the ….

Area of a Square

A

side x side

56
Q

How to find…

The Area of a Parallelogram

A

Base x Height

57
Q

How to find the….

Area of a Trapezoid

A

1/2 x the sum of the bases x height

58
Q

What is the..

Radius of a Cirlce

A

A line segment from the center of the circle or the “half way point”

59
Q

What is the …..

Diameter of a Circle

A

A line segment that conects form one end of the circle through to the other end

60
Q

What is the Circumfrence of a Circle

A

The distance around a circle

C = 3.14 (pie) x Diameter

C = 3.14 (pie) x 2 x Radius

61
Q

What is an ARC

How do you determine the Arc Length

A

A propportion of the circumfrence of a circle

Arc Length = ( Nº / 360 ) x Circumfrence

62
Q

What is an Inscribed Angle?

How do you determine the Arc Length of an Inscribed Angle?

A

One that opens up from the edge of a circle instead of its center

Arc Length = ( Nº/ 180 ) x Circumfrence

63
Q

How do you find…

The Area of a Circle

A

Area = 3.14(pie) x R2

64
Q

What is the Sector of a Circle?

How do you find the Area of a Sector?

A

a portion of the circle bounded by two radii and an arc

Area of a Sector = (Nº/ 360) x Area of a Circle

65
Q

Rectangle

What is the Volume?

What is the Surface Area?

A

length x width x height

2lw x 2lh x 2wh

66
Q

What is the formula for
Diagonals in Rectangular Solids?

A

diagonal2 = length2 + width2 + height2

67
Q

Cube

What is the Volume?

A

area of base x height = edge3

aka

V = L x W x H = E3

68
Q

Cylinder

What is the Volume?

A

area of base x height

aka

V = (Pie x R2) x Height

69
Q

Cube

What is the Surface Area?

A

sum of areas of faces = 6 x edge2
aka
SA = 6E3

70
Q

Cube

What is the Total Surface Area?

A

area of bases + LSA

aka

SA = (2 x Pie x R2) + (2 x Pie x R x H)

71
Q

Slope

Slope Intercept Form

A

Rise = Change in Y
_______________________

Run = Change in X

y = mx + b
(the slope is m)

72
Q

How do you calculate the Distance on a Coordinate Plane?

A

To determine the distance between any two points on a coordinate plane, you use Pythagorean Theorem

73
Q

How to find the….

Distance Between Two Points

A
74
Q

How to simplify these expressions….

(a + b)(a - b) =

A

(a2 - b2)

Gmat Prep (1 decks)

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