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Gmat Prep Flashcards

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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
To find the sum of a sequence of consecutive integers
Multiply the average of the largest and smallest term by the # of terms
26
To find the # of terms in a consecutive sequence
take the difference between largest and smallest and add 1
27
Combinations Formula Page. 805
Used when solving for a # of K _unordered_ selections one can make from group N nCk       = _n!_ k! (n-k) !
28
Permutations Formula Page 806
Used when solving for a # of K _ordered_ selections one can make from group N nPk = _ __n! _ (n-k) !
29
Probabilty
Number of desired outcomes \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ Number of total possible outcomes Multiply the fractions by one another.
30
Average Formula
sum of terms \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ number of terms
31
Balanced Average
The difference between the average and every # below and above it
32
Weighted Average
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
Average Speed
Total Distance \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ Total Time
34
What do you do when you have multi-part journey "average" questions
you use a chart to organize the data
35
Divisibility Test A number is divisibly by 2 if...
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
Divisiblity Test A number is divisible by 3....
if the **_sum_** of the digits is divisible by 3 4,317 is divisible because 4 + 3 + 1 + 7 = 15
37
Divisiblity Test Divisible by 4 if....
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
Divisibilty Test Divisible by 5 if....
if its units digit is either a **_5 or a 0_** 26,985 is divisible by 5
39
Divisiblity Test Is divisible by 7 if...
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
Divisiblity Test Divisible by 8 if...
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
Divisiblity Test Divisible by 9 if...
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
Divisiblity Test Divisible by 10 if...
its units or digits is **_zero_** 67,890 is divisible by zero
43
What is a Supplementary Angle?
if two angles when together make a straight line aka 180 degrees
44
What is a Complimentary Angle?
if two angle's together make 90 degrees
45
Area of a Triangle
1/2 x base x height
46
Perimeter of a Triangle
Add all sides together
47
What are congruent triangles?
When different triangles have corresponding angles with the same measure and corresponding sides with the same length. They're proportional to one another
48
Pythagorean Theorem ?!
holds for ALL **right** triangles A2 + B2 = C2
49
"Pythagorean Triples"
Right triangles with the lengths (sides) 32 + 42 = 52 6, 8, 10 5, 12, 13
50
Special Right Triangles Ch. 18 For Isosceles Right Triangles aka 90º 45º 45º
90º 45º 45º X2root2 X X
51
Special Right Triangles Ch. 18 For 30º 60º 90º
30º 60º 90º X X2root3 2X
52
The sum of the interior angles of a _Polygon_ is....
(number of sides - 2)180º
53
How do you measure each interior angle in a _Regular Polygon_
(#of sides - 2)180 \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ # of sides
54
How to find the... Area of a Rectangle
Length x width
55
How to find the .... Area of a Square
side x side
56
How to find... The Area of a Parallelogram
Base x Height
57
How to find the.... Area of a Trapezoid
1/2 x the sum of the bases x height
58
What is the.. Radius of a Cirlce
A line segment from the _center_ of the circle or the "half way point"
59
What is the ..... Diameter of a Circle
A line segment that conects form one end of the circle through to the other end
60
What is the Circumfrence of a Circle
The distance around a circle C = 3.14 (pie) x Diameter C = 3.14 (pie) x 2 x Radius
61
What is an ARC How do you determine the Arc Length
A propportion of the circumfrence of a circle Arc Length = ( Nº / 360 ) x Circumfrence
62
What is an Inscribed Angle? How do you determine the Arc Length of an Inscribed Angle?
One that opens up from the edge of a circle instead of its center Arc Length = ( Nº / 180 ) x Circumfrence
63
How do you find... The Area of a Circle
Area = 3.14(pie) x R2
64
What is the Sector of a Circle? How do you find the Area of a Sector?
a portion of the circle bounded by two radii and an arc Area of a Sector = (Nº / 360) x Area of a Circle
65
Rectangle What is the Volume? What is the Surface Area?
length x width x height 2lw x 2lh x 2wh
66
What is the formula for Diagonals in Rectangular Solids?
diagonal2 = length2 + width2 + height2
67
Cube What is the Volume?
area of base x height = edge3 aka V = L x W x H = E3
68
Cylinder What is the Volume?
area of base x height aka V = (Pie x R2) x Height
69
Cube What is the Surface Area?
sum of areas of faces = 6 x edge2 aka SA = 6E3
70
Cube What is the Total Surface Area?
area of bases + LSA aka SA = (2 x Pie x R2) + (2 x Pie x R x H)
71
Slope Slope Intercept Form
Rise = Change in Y \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ Run = Change in X y = mx + b (the slope is m) 
72
How do you calculate the Distance on a Coordinate Plane?
To determine the distance between any two points on a coordinate plane, you use Pythagorean Theorem
73
How to find the.... Distance Between Two Points
74
How to simplify these expressions.... (a + b)(a - b) =
| (a2 - b2)

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