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GMAT Prep > Math Prep > Flashcards

Math Prep Flashcards

1
Q

Formula for interior angles of a triangle.

A

x+y+z=180o

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2
Q

Formula for exterior angle of a triangle

A

a + b + c = 360o

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3
Q

What is the relationship between a, b, c, and x, y, z?

A

a = y + z

b = x + z

c = x + y

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4
Q

Formula for area of a triangle.

A

Area = ½ base x height

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5
Q

Relationship between any two sides of a triangle?

A

Sum of any 2 side > 3rd side

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6
Q

What are the angles in an equilateral triangle?

A

All angles = 60 degrees

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7
Q

What is an isosceles triangle?

A

Triangle where 2 sides and 2 angles are equal.

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8
Q

What is the Pythagorean Theorem?

A

a2 + b2 = c2

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9
Q

What are the ratios of the Pythagorean Triples?

A

3: 4:5
5: 12:13
7: 24:25
8: 15:27
9: 40:41

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10
Q

Fill in the blanks.

A
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11
Q

Fill in the blanks.

A
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12
Q

What is the relationship of angles a and b?

A

a + b = 180

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13
Q

What are the angles of l2 if lines l1 and l2 are parallel?

A

c2 = c1

d2 = d1

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14
Q

What is the forumla for the diameter of a circle?

A

d = 2r

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15
Q

What is the formula for the circumference of a circle?

A

C = 2πR or πD

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16
Q

What is the formula for the area of a circle?

A

A = πR2

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17
Q

What is the relationship of A, B, C, 0, and no?

A
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18
Q

What is the order of operations?

A

PEMDAS = Parentheses, Exponents, Multiplation and Division, Addition and Subtraction

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19
Q

Factor out the expression (a + b)(c + d).

A

FOIL - First, Outer, Inner, Last

( a + b) (c +d) = ac+ ad + bc + bd

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20
Q

What is the area of a square?

A

A = s2

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21
Q

What is the area of a rectangle?

A

A = lw

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22
Q

What is the area of a parallelogram?

A

A = bh

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23
Q

What is the area of a trapezoid?

A

A = ½ (b1 + b2)h

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24
Q

What is the volume of a cylinder?

A

V = πR2H

25
Q

What is the surface area of a cylinder?

A

SA = 2πR2 + 2πRH

26
Q

What is the volume of a cube?

A

V = lwh

27
Q

What is the surface area of a cube?

A

SA = 2 (lw + lh + wh)

28
Q

What is the relationship between rate, distance, and time?

A

Rate = Distance / Time

Distance = Rate x Time

Time = Distance / Rate

29
Q

What is the relationship between average rate, total distance, and total time?

A

Average Rate = Total Distance / Total Time

Total Distance = Average Rate x Total Time

Total Time = Total Distance / Average Rate

30
Q

What is the formula for rate?

A

Rate = Quantity of A / Quantity of B

31
Q

What is the formula for % increase?

A

% Increase = New Amount - Original Amount x 100%

    Original Amount
32
Q

What is the forumla for % decrease?

A

% Decrease = Original Amount - New Amount x 100%

    Original Amount
33
Q

What are the exponent rules?

A

x-a = 1/xa

x0 = 1

x1 = x

x2 = x * x

(xa)b = xab

xa / xb= xa - b

xaxb = xa+b

  • xodd = -y
  • xeven = y
34
Q

What are the radical rules?

A
35
Q

What is the definition of a prime number and what are the first 5 prime numbers?

A

Primes are integers divisble by only 1 and itself.

Ex: 2, 3, 5, 7, 11

36
Q

What are the divisibility rules?

A

A number is divisible by…

  • 2, if the number is even
  • 3, if the sum of the digits is divisble by 3
  • 4, if the 2-digit number formed by the last 2 digits is divisible by 4
  • 5, if the last digit is 0 or 5
  • 6, if the number is divisible by both 2 and 3
  • 9, if the sum of the digits is divisible by 9
  • 10, if the last digit is 0
37
Q

How to convert a fraction into:

  1. an equivalent fraction
  2. a decimal
A
  1. Equivalent Fraction: Multiple or divide the numerator and denominator by same number
  2. Decimal: Divide numerator by denominator
38
Q

How to convert a decimal into a fraction?

A
  1. For numerator, move decimal to right until number is an integer
  2. For denominator, add the same number of 0’s as moved decimal after 1
  3. Reduce fraction
39
Q

How to convert a mixed fraction (ex. X y/z)

A
  1. Multiple whole number by denominator, ex. X * Z
  2. Add numerator, ex. (X * Z) + Y
  3. Place total over denominator, ex. _(X * Z) + Y _ …….Z
40
Q

What is the ration forumla?

A

Quantity of A = (Ratio of A to total)(Total)

41
Q

List the percent rules

A

x% = x / 100

x% of y = (x / 100) y

Percent = Part / Whole x 100

Final as percent of original = Final / Original x 100

Percent Change = Difference / Original x 100

42
Q

ab + ac = ?

A

ab + ac = a(b+c)

43
Q

a(b+c) = ?

A

a(b+c) = ab + ac

44
Q

(a + b) / c = ?

A

(a + b) / c = a/c + b/c

45
Q

a/c + b/c = ?

A

a/c + b/c = (a + b)/c

46
Q

x% of y = ?

A

x% of y = y% of x

47
Q

|-x| = ?

A

|-x| = |x|

48
Q

What is the general work formua?

A

_ 1 _ = 1 + 1 + 1 + … 1 total time A B C N

A, B, C = time for each individual to work alone

49
Q

What yields odd numbers?

A

Only (odd) x (odd) and (odd) + (even)

50
Q

What is the standard form of a line?

A

y = mx + b

(where m is the slope and b is the y-intercept)

51
Q

How do you calculate slope?

A

Slope = rise / run = (y2 - y1) / (x2 - x1)

52
Q

What is the Kaplan Method for Problem Solving?

A
  1. Analyze the question
  2. State the task
  3. Approach strategicaly
  4. Confirm your answer
53
Q

What is the Kaplan Method for Data Sufficiency?

A
  1. Analyze the question stem
  • Determine if Value or Yes/No.
  • Simplify, if necessary
  • Identify what is needed to answer the question
                   2.   Evaluate the statements using 12TEN.
54
Q

What are the Kaplan Data Sufficiency Strategies?

A

For Value questions, seek to find a single answer.

For Yes/No questions, seek to find a definite answer to the question.

Keep track of your options as you go.

 · If (1) is sufficient, the answer must be (A) or (D)

 · If (1) is insufficient, the answer must be (B), (C), or (E)

 · If (2) is sufficient, the answer must be (B) or (D)

 · If (2) is insufficient, the answer must be (A), (C), or (E)
55
Q

What are the rules for inequalities?

A

Inequalities should be treated exactly like fractions, except:

  1. When multipling or dividing an inequality by a negative number, flip the direction of the inequality sign. Ex. (x > y) * -1 = (-x < -y).
  2. Inequalities can only be solved for a range of values.
56
Q

What is simplified work formula?

A

Total time = _ AB _ A + B

A, B = individual work times

57
Q

What is the formula to calculate simple interest?

A

p + i = p (1+rt)

P = Principal

I = Interest

t = time period

r = interest rate per time period as a decimal

58
Q

What is the formula to calculate compound interest?

A

p + i = p(1 + r)t

p = principal

i = interest

            r = interest per time period as a decimal, over                     number of times compounded per year (usually 1)

t = time period times number of time compound per year (usually 1)

GMAT Prep (1 decks)

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