Math Flashcards

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1
Q

1/2

A

0.50 or 50%

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2
Q

1/3

A

0.33 or 33%

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3
Q

1/4

A

0.25 or 25%

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4
Q

1/5

A

0.20 or 20%

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5
Q

1/6

A

0.167 or 16.7%

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6
Q

1/7

A

0.142 or 14.2%

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7
Q

1/8

A

0.125 or 12.5%

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8
Q

1/9

A

0.111 or 11.1%

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9
Q

1/10

A

0.10 or 10%

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10
Q

1/11

A

0.091 or 9.1%

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11
Q

1/12

A

0.083 or 8.3%

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12
Q

1^2

A

1

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13
Q

2^2

A

4

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14
Q

3^2

A

9

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15
Q

4^2

A

16

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16
Q

5^2

A

25

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17
Q

6^2

A

36

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18
Q

7^2

A

49

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19
Q

8^2

A

64

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20
Q

9^2

A

81

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21
Q

10^2

A

100

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22
Q

11^2

A

121

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23
Q

12^2

A

144

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24
Q

13^2

A

169

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25
Q

14^2

A

196

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26
Q

15^2

A

225

27
Q

25^2

A

625

28
Q

x^(1/2)

A

Sqrt(x)

29
Q

x^(1/3)

A

Cuberoot(x)

30
Q

Sqrt(2)

A

1.4

Valentine’s Day

31
Q

Sqrt(3)

A

1.7

St. Patrick’s Day

32
Q

Cuberoot(8)

A

2

33
Q

Cuberoot(27)

A

3

34
Q

4^(2/3)

A

=cuberoot(4^2)
=cuberoot(16)
~=2.5

35
Q

Cos(0)

A

=(Sqrt(4))/2
=2/2
= 1

36
Q

Cos(30)

A

=(Sqrt(3))/2

= 0.87

37
Q

Cos(45)

A

=(Sqrt(2))/2

= 0.71

38
Q

Cos(60)

A

=(Sqrt(1))/2
= 1/2
= 0.50

39
Q

Cos(90)

A

=(Sqrt(0))/2
= 0/2
= 0

40
Q

Cos(180)

A

-1

41
Q

Sin(0)

A

=(Sqrt(0))/2
= 0/2
= 0

42
Q

Sin(30)

A

=(Sqrt(1))/2
= 1/2
= 0.50

43
Q

Sin(45)

A

=(Sqrt(2))/2

= 0.71

44
Q

Sin(60)

A

=(Sqrt(3))/2

= 0.87

45
Q

Sin(90)

A

=(Sqrt(4))/2
=2/2
= 1

46
Q

Sin(180)

A

0

47
Q

Log(10)

A

1

48
Q

Log(100)

A

2

49
Q

Log(1)

A

0

50
Q

Log(0.1)

A

-1

51
Q

Log(0.01)

A

-2

52
Q

Log(2)

A

0.30

53
Q

Log(3)

A

0.48

54
Q

Log(A*B)

A

Log(A) + Log(B)

55
Q

Log(A/B)

A

Log(A) - Log(B)

56
Q

Log(A^N)

A

N Log(A)

57
Q

Log(4)

A

0.6

58
Q

Log(5)

A

0.7

59
Q

Log(6)

A

0.78

60
Q

Log(7)

A

0.85

61
Q

Log(8)

A

0.9

62
Q

Log(9)

A

0.95

63
Q

Kaplan log approximation to solve for pH from concentration.

E.g. What is pH when [H+] = 6..5 * 10^-4

A

–log(m x 10-n) ≈ n – 0.m

E.g.
–log(6.5 x 10-4)
≈ 4– 0.65
≈ 3.35

(Actual value is 3.187)

64
Q

Kaplan log approximation to solve for concentration from pH.

E.g. What is [H+] when pH = 5.21

A

n - 0.m ≈ -log(m * 10^-n)

E.g.
pH = 5.21 = n - 0.m
= 6 - 0.79
≈ -log(7.9 * 10^-6)

Actual is 6.17 * 10^-6