Math Flashcards

(102 cards)

1
Q

1/6

A

0.166

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2
Q

1/8

A

0.125

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3
Q

Principal + I nterest

A

Principal * (1 + r)^t

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4
Q

Percent Change

A

(Difference / Original) * 100

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5
Q

Dividend

A

Number that is being divided

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6
Q

Divisor

A

Number dividing by

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7
Q

Greatest Common Factor (GCF)

A

The largest divisor of 2 or more integers

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8
Q

Least Common Multiple (LCM)

A

The smallest multiple of 2 or more integers

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9
Q

Prime

A

An integer that is only divisible by 1 and itself

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10
Q

A number is divisible by 2

A

Its even (i.e., its last digit is even)

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11
Q

A number is divisible by 3

A

Its digits add up to a multiple of 3

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12
Q

A number is divisible by 4

A

Its last two digits are divisible by 4

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13
Q

A number is divisible by 5

A

Its last digit is 5 or 0

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14
Q

A number is divisible by 6

A

Apply the rules of 2 and 3

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15
Q

A number is divisible by 9

A

Its digits add up to a multiple of 9

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16
Q

A number is divisible by 10

A

Its last digit is zero

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17
Q

A number is divisible by 12

A

Apply rules of 3 and 4

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18
Q

Positive integers that are perfect squares have…

A

An odd number of factors

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19
Q

Positive integers that are not perfect squares have…

A

An even number of factors

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20
Q

GCF(x, y)

A

GCF(x - y, y)

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21
Q

LCM(a, b)

A

ab / GCF(a, b)

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22
Q

Finding the Number of Factors

A
  1. Write the prime factorization of the intege in exponent form.
  2. Add 1 to each exponent.
  3. Multiply the resulting sums together.
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23
Q

Rational Number

A

A number that can be expressed as a simple fraction.

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24
Q

Irrational number

A

A number that cannot be expressed as a fraction.

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25
2^2
4
26
3^2
9
27
4^2
16
28
5^2
25
29
6^2
36
30
7^2
49
31
8^2
64
32
9^2
81
33
10^2
100
34
11^2
121
35
12^2
144
36
13^2
169
37
14^2
196
38
15^2
225
39
16^2
256
40
17^2
289
41
18^2
324
42
19^2
361
43
20^2
400
44
25^2
625
45
30^2
900
46
2^3
8
47
3^3
27
48
4^3
64
49
5^3
125
50
6^3
216
51
7^3
343
52
8^3
512
53
9^3
729
54
10^3
1000
55
20^3
8000
56
sqrt(4)
2
57
sqrt(9)
3
58
sqrt(16)
4
59
sqrt(25)
5
60
sqrt(36)
6
61
sqrt(49)
7
62
sqrt(64)
8
63
sqrt(81)
9
64
sqrt(100)
10
65
sqrt(121)
11
66
sqrt(144)
12
67
sqrt(169)
13
68
sqrt(196)
14
69
sqrt(225)
15
70
sqrt(256)
16
71
sqrt(289)
17
72
sqrt(324)
18
73
sqrt(361)
19
74
sqrt(400)
20
75
sqrt(625)
25
76
sqrt(900)
30
77
cbrt(8)
2
78
cbrt(27)
3
79
cbrt(64)
4
80
cbrt(125)
5
81
cbrt(216)
6
82
cbrt(343)
7
83
cbrt(512)
8
84
cbrt(729)
9
85
cbrt(1,000)
10
86
cbrt(8,000)
20
87
Average
Total / Number of Things
88
Even Spacing, Summations, and Averages
For any list of numbers, the sum is the product of the average of those numbers and the number of numbers in the list.
89
Rate
Distance / Time Amount of Work / Time
90
Pythagorean Triples
3: 4:5 5: 12:13
91
45-45-90 Triangle
a - a - a*sqrt(2)
92
30-60-90 Triangle
a - a*sqrt(3) - 2a
93
Third-Side Rule
difference of the other two sides < third side < sum of the other two sides
94
Area of triangle
(1/2) * base * height
95
Area of parallelogram
base * height
96
Area of rectangle
length * width
97
Perimeter of rectangle
2 * (length + width)
98
Area of square
side^2
99
Perimeter of square
4 * side
100
Circumference of circle
2 * pi * radius
101
Area of circle
pi * radius^2
102
Proportions of a circle
central / 360 = arc / circumference = sector / area