Math Flashcards

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
Q

2^2

A

4

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26
Q

3^2

A

9

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27
Q

4^2

A

16

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28
Q

5^2

A

25

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29
Q

6^2

A

36

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30
Q

7^2

A

49

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31
Q

8^2

A

64

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32
Q

9^2

A

81

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33
Q

10^2

A

100

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34
Q

11^2

A

121

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35
Q

12^2

A

144

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36
Q

13^2

A

169

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37
Q

14^2

A

196

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38
Q

15^2

A

225

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39
Q

16^2

A

256

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40
Q

17^2

A

289

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41
Q

18^2

A

324

42
Q

19^2

A

361

43
Q

20^2

A

400

44
Q

25^2

A

625

45
Q

30^2

A

900

46
Q

2^3

A

8

47
Q

3^3

A

27

48
Q

4^3

A

64

49
Q

5^3

A

125

50
Q

6^3

A

216

51
Q

7^3

A

343

52
Q

8^3

A

512

53
Q

9^3

A

729

54
Q

10^3

A

1000

55
Q

20^3

A

8000

56
Q

sqrt(4)

A

2

57
Q

sqrt(9)

A

3

58
Q

sqrt(16)

A

4

59
Q

sqrt(25)

A

5

60
Q

sqrt(36)

A

6

61
Q

sqrt(49)

A

7

62
Q

sqrt(64)

A

8

63
Q

sqrt(81)

A

9

64
Q

sqrt(100)

A

10

65
Q

sqrt(121)

A

11

66
Q

sqrt(144)

A

12

67
Q

sqrt(169)

A

13

68
Q

sqrt(196)

A

14

69
Q

sqrt(225)

A

15

70
Q

sqrt(256)

A

16

71
Q

sqrt(289)

A

17

72
Q

sqrt(324)

A

18

73
Q

sqrt(361)

A

19

74
Q

sqrt(400)

A

20

75
Q

sqrt(625)

A

25

76
Q

sqrt(900)

A

30

77
Q

cbrt(8)

A

2

78
Q

cbrt(27)

A

3

79
Q

cbrt(64)

A

4

80
Q

cbrt(125)

A

5

81
Q

cbrt(216)

A

6

82
Q

cbrt(343)

A

7

83
Q

cbrt(512)

A

8

84
Q

cbrt(729)

A

9

85
Q

cbrt(1,000)

A

10

86
Q

cbrt(8,000)

A

20

87
Q

Average

A

Total / Number of Things

88
Q

Even Spacing, Summations, and Averages

A

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
Q

Rate

A

Distance / Time

Amount of Work / Time

90
Q

Pythagorean Triples

A

3: 4:5
5: 12:13

91
Q

45-45-90 Triangle

A

a - a - a*sqrt(2)

92
Q

30-60-90 Triangle

A

a - a*sqrt(3) - 2a

93
Q

Third-Side Rule

A

difference of the other two sides < third side < sum of the other two sides

94
Q

Area of triangle

A

(1/2) * base * height

95
Q

Area of parallelogram

A

base * height

96
Q

Area of rectangle

A

length * width

97
Q

Perimeter of rectangle

A

2 * (length + width)

98
Q

Area of square

A

side^2

99
Q

Perimeter of square

A

4 * side

100
Q

Circumference of circle

A

2 * pi * radius

101
Q

Area of circle

A

pi * radius^2

102
Q

Proportions of a circle

A

central / 360 = arc / circumference = sector / area