Math Flash Cards

Front 1

A "whole" number that does not contain decimals, fractions, or radicals; can be positive or negative or zero; Examples: -500, 0, 1, 28

Back 1

Integer

Front 2

Greater than zero; Examples: 0.5, 25, 5/3

Back 2

Positive

Front 3

Less than zero; Examples: -72.3; -7/4; -2

Back 3

Negative

Front 4

An integer divisible by two; Examples: -40, 0, 2

Back 4

Even

Front 5

An interger not divisible by two;Examples: -41, 1, 3

Back 5

Odd

Front 6

wwhen another nummber divides into another number with nothing leftover; Examples: 10 is by number 2 but not by number 3

Back 6

Divisible

Front 7

the result of adding; Example: the number 7 in 3 + 4

Back 7

Sum

Front 8

the result of subtracting; Example: the number 5 in 7 - 2

Back 8

Difference

Front 9

the result of multiplying; Example: the number 35 in 7*5

Back 9

Product

Front 10

The result of dividing; Example:
The number 2 in 8/4

Back 10

Quotient

Front 11

A number that is only divisible by itself and 1; 1 is not this because 1 is itself; negative numbers and zero are not this. Examples: 2, 3, , 5, 7

Back 11

Prime

Front 12

In a row, usually ascending; Examples: 1, 2, 3, 4; -3, -2, -1, 0

Back 12

Consecutive

Front 13

0 - 9; the numbers on the phone pad; Examples: 1, 2, 3, 4, 5, 6, 7, 8, 9

Back 13

Digits

Front 14

Different; Examples: 2 and 3; 6.24 and 6.26; 4 and 9

Back 14

Distinct

Front 15

The "leftovers" when one number doesn't divide evenly into another number; Examples: the number 1 in 10/3

Back 15

Remainder

Front 16

a number that divides into another number; example the number is in 24/6

Back 16

Divisor

Front 17

negative x negative

Back 17

positive

Front 18

positive x positive

Back 18

positive

Front 19

negative x positive

Back 19

negative

Front 20

even x even

Back 20

even

Front 21

odd x odd

Back 21

odd

Front 22

even x odd

Back 22

even

Front 23

even + or - even

Back 23

even

Front 24

odd + or - odd

Back 24

even

Front 25

even + or - odd

Back 25

odd

Front 26

A positive integer that divides evenly into another positive integer.

Back 26

Factor

The factors of 12 are 1 and 12, 2 and 6, and 3 and 4. There are FEW factors.

The largest factor of any number is always the number itself.

Front 27

The product of some positive integer and any other positive integer.

Back 27

Multiple

The multiples of 12 are 12, 24, 36, 48, 60. There are MANY multiples.

The smallest multiple of any number is always the number itself.

Front 28

Rule: It's even (its last digit is even)

Back 28

A number is divisible by 2

Hint 28

1,576

Front 29

Rule: Its digits add up to a multiple of 3

Back 29

A number is divisible by 3

Hint 29

8,532 8+5+3+2=18

Front 30

Rule: Its last two digits are divisible by 4

Back 30

A number is divisible by 4

Hint 30

121,532 32/4 = 8

Front 31

Rule: Its last digit is 5 or 0

Back 31

A number is divisible by 5

Hint 31

568,745 or 320

Front 32

Rule: its last digit is even and its digits add up to a multiple of 3

Back 32

A number is divisible by 6

Hint 32

55,740 even and 5+5+7+4+0=21

Front 33

Rule: its last three digits are divisible by 8

Back 33

A number is divisible by 8

Hint 33

345,862,120 120/8 = 15

Front 34

Rule: Its digits add up to a multiple of 9

Back 34

A number is divisible by 9

Hint 34

235,692 2+3+5+6+9+2 = 27

Front 35

Rule: Its last digit is zero

Back 35

A number is divisible by 10

Hint 35

11,130

Front 36

Rule: Its digits add up to a multiple of 2 and its last two digits are divisible by 4

Back 36

A number is divisible by 12

Hint 36

3,552 3+5+5+2=15 and 52/4=13

Front 37

Rule: Its digits add up to a multiple of 3 and its last digit is 5 or 0

Back 37

A number is divisible by 15

Hint 37

3,255 3+2+5+5 = 15

Front 38

P E MD AS

Back 38

P stands for "parentheses." Solve for parentheses first.

Front 39

P E MD AS

Back 39

E stands for "exponents." Solve for your exponents second.

Front 40

P E MD AS

Back 40

M stands for "multiplication" and D Stands for "division" You do all your multiplication and division together and in the same step, going from left to rights

Front 41

P E MD AS

Back 41

A stands for "addition" and S stands for "subtraction" You do all your addition and subtraction together in the same step, going from left to right.

Front 42

part/whole

Back 42

fraction

Front 43

the top of the fraction

Back 43

numerator

Front 44

bottom of the fraction

Back 44

denominator

Front 45

a fraction flipped over (also called the inverse of a fraction)

Back 45

reciprocal

Front 46

the line between the numerator and denominator and it is equivalent to divided by

Back 46

fraction bar

Front 47

A decimal is just a

Back 47

fraction 0.5 = 5/10

Front 48

A fraction is just a

Back 48

decimal 3/5 = .6

Front 49

place the decimal over 1, move the decimal points the same number of places on the top and the bottom until you have whole numbers on both the top and the bottom and then reduce

Back 49

to convert decimal to a fraction

Front 50

divide the bottom into the top

Back 50

to convert fraction into a decimal

Front 51

1. Ignore the decimal points and simply multiply the numbers as if they were integers
2. Count the number of decimal places in each of the original decimals
3. Take your product from step 1 and move the decimal point the same number of spaces to the left

Back 51

Multiplying Decimals

Front 52

over one hundred--can be expressed as a fraction by simply putting it over 100 (and then reducing your resulting fraction, when necessary)

Back 52

percent

Front 53

part/whole = x/100 where x is your percent

Back 53

to convert a fraction into a percent

3/5 = 60/100 = 60%

Front 54

drop the percent sign and move the decimal point two places over to the left

Back 54

to convert a percent to a decimal

25% = 0.25

Front 55

mover your decimal two point places to the right and add a percent sign

Back 55

to convert a decimal into a percent

Front 56

/100

Back 56

percent

Front 57

x(times)

Back 57

of

Front 58

x,y, or z

Back 58

what

Front 59

= (equals)

Back 59

is, are, was, were

Front 60

(difference/original) x 100

Back 60

percent increase/decrease

Front 61

original is smaller number

Back 61

percent increase or percent greater

Front 62

original is the larger number

Back 62

percent decrease or percent less

Front 63

If you can figure out 10 % then you can easily figure out 5% by dividing your result by 2 or 30% by multiplying your result by 3, etc.

Back 63

Approximating Percents

Front 64

Percent: 25% or .25
What is the fraction?

Back 64

Fraction: 1/4

Front 65

What is the fraction?
Percent: 50% or .5

Back 65

Fraction: 1/2

Front 66

What is the fraction?
Percent: 75% or .75

Back 66

Fraction: 3/4

Front 67

What is the fraction?
Percent: 20% or .2

Back 67

Fraction: 1/5

Front 68

What is the fraction?
Percent: 40% or .4

Back 68

Fraction: 2/5

Front 69

What is the fraction?
Percent: 60% or .6

Back 69

Fraction: 3/5

Front 70

What is the fraction?
Percent: 80% or .8

Back 70

Fraction: 4/5

Front 71

What is the fraction?
Percent: 33 1/3% or .333

Back 71

Fraction: 1/3

Front 72

What is the fraction?
Percent: 66 2/3% or .666

Back 72

Fraction: 2/3

Front 73

What is the fraction?
Percent: 16 2/3% or .166

Back 73

Fraction: 1/6

Front 74

What is the fraction?
Percent: 12 1/2 % or .125

Back 74

Fraction: 1/8

Front 75

What is the fraction?
Percent: 11 1/9% or .111

Back 75

Fraction: 1/9

Front 76

What is the fraction?
Percent: 9 1/11 or .0909

Back 76

Fraction: 1/11

Front 77

What is the fraction?
Percent: 8 1/3 % or .083

Back 77

Fraction: 1/12

Front 78

What do you use to add or subtract fractions?

Back 78

Bowtie:
1. Multiply diagonally up (opposing denominators and numberations
2. Bring up the sign (+ or -)
3. Add/subtract across the top
4 multiply across the bottom

Front 79

What do you use to compare fractions?

Back 79

Bowtie:
1. Multiply diagonally up (opposing denominators and numerators)
2. Compare the results

Front 80

What is (difference/original) x 100

Back 80

Percent change

Front 81

What is (difference/smaller) x (x/100)

Back 81

Percent increase/greater

Front 82

what is (difference/larger) x (x/100)

Back 82

Percent decrease/less

Front 83

the smallest and the only even prime number

Back 83

2

Front 84

To break quant comp questions with pluggins, the Z in Zone F stands for?

Back 84

Z=zero

Front 85

To break quant comp questions with pluggins, the 0 in Zone F stands for?

Back 85

o = one

Front 86

To break quant comp questions with pluggins, the N in Zone F stands for?

Back 86

N = negative

Front 87

To break quant comp questions with pluggins, the e in Zone F stands for?

Back 87

E= extremely large or small numbers

Front 88

To break quant comp questions using pluggins, the F in ZONE F stands for?

Back 88

F = Fractions

Front 89

The five recycled relationships for anologies?

Back 89

type of
used to
characteristic of
degree
without

Front 90

Mixture Problems
How are mixture problems solved?

Back 90

Mixture problems deal with the mixing of ingredients having different costs. Mixture problems are solved using the following formula: n x p = v
n = the number of units of the same kind, p = the price per unit, and v = the total value of all units

Front 91

What is the procedure for factoring by finding the Greatest Common Factor (GCF) of a polynomial?

Back 91

To factor a polynomial:
1. Find the greatest monomial that is a factor of each term
2. Divide the polynomial by the monomial factor. The quotient is the other factor.
3. Express the polynomial as the product of the two factors

Front 92

LEVER

Back 92

A lever is a bar that can rotate about a fixed point called the fulcrum. When a lever is balanced, the weight to the fulcrum is equal to the weight on the other side times the distance from it to the fulcrum.
The fomula is w1 x d1 = w2 x d2

Front 93

FOIL

Back 93

Foil is a method for multiplying two binomials. Multiply terms is parentheses in the following order:
Firsts; Outers; Inners; Lasts

example: (a + b)(c +d)
ac + ad + bc + bd

Front 94

What is the product of the sum and difference of two terms?

Back 94

The product of the sum and difference of two terms is equal to the sqare of the first term minus the square of the second term

(x + y) (x - y) = x2 - y2

Front 95

A trinomial is of the form ax2+bx+c. How is a trinomial factored?

Back 95

1. The product of the first terms of both binomials must equal the first term of the trinomial (ax2)
2. The product of the last terms of both binomials must equal the last term of the trinomial
3. When the first term of each binomial is multiplied by the second term of the other and the sum of these products is found, it must be equal to the middle term (bx)