Math Flashcards
1
Q
1/2
A
0.50 or 50%
2
Q
1/3
A
0.33 or 33%
3
Q
1/4
A
0.25 or 25%
4
Q
1/5
A
0.20 or 20%
5
Q
1/6
A
0.167 or 16.7%
6
Q
1/7
A
0.142 or 14.2%
7
Q
1/8
A
0.125 or 12.5%
8
Q
1/9
A
0.111 or 11.1%
9
Q
1/10
A
0.10 or 10%
10
Q
1/11
A
0.091 or 9.1%
11
Q
1/12
A
0.083 or 8.3%
12
Q
1^2
A
1
13
Q
2^2
A
4
14
Q
3^2
A
9
15
Q
4^2
A
16
16
Q
5^2
A
25
17
Q
6^2
A
36
18
Q
7^2
A
49
19
Q
8^2
A
64
20
Q
9^2
A
81
21
Q
10^2
A
100
22
Q
11^2
A
121
23
Q
12^2
A
144
24
Q
13^2
A
169
25
14^2
196
26
15^2
225
27
25^2
625
28
x^(1/2)
Sqrt(x)
29
x^(1/3)
Cuberoot(x)
30
Sqrt(2)
1.4
| Valentine’s Day
31
Sqrt(3)
1.7
| St. Patrick’s Day
32
Cuberoot(8)
2
33
Cuberoot(27)
3
34
4^(2/3)
=cuberoot(4^2)
=cuberoot(16)
~=2.5
35
Cos(0)
=(Sqrt(4))/2
=2/2
= 1
36
Cos(30)
=(Sqrt(3))/2
| = 0.87
37
Cos(45)
=(Sqrt(2))/2
| = 0.71
38
Cos(60)
=(Sqrt(1))/2
= 1/2
= 0.50
39
Cos(90)
=(Sqrt(0))/2
= 0/2
= 0
40
Cos(180)
-1
41
Sin(0)
=(Sqrt(0))/2
= 0/2
= 0
42
Sin(30)
=(Sqrt(1))/2
= 1/2
= 0.50
43
Sin(45)
=(Sqrt(2))/2
| = 0.71
44
Sin(60)
=(Sqrt(3))/2
| = 0.87
45
Sin(90)
=(Sqrt(4))/2
=2/2
= 1
46
Sin(180)
0
47
Log(10)
1
48
Log(100)
2
49
Log(1)
0
50
Log(0.1)
-1
51
Log(0.01)
-2
52
Log(2)
0.30
53
Log(3)
0.48
54
Log(A*B)
Log(A) + Log(B)
55
Log(A/B)
Log(A) - Log(B)
56
Log(A^N)
N Log(A)
57
Log(4)
0.6
58
Log(5)
0.7
59
Log(6)
0.78
60
Log(7)
0.85
61
Log(8)
0.9
62
Log(9)
0.95
63
Kaplan log approximation to solve for pH from concentration.
E.g. What is pH when [H+] = 6..5 * 10^-4
–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
Kaplan log approximation to solve for concentration from pH.
E.g. What is [H+] when pH = 5.21
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