Quant Basics Flashcards
1
Q
2^0
A
1
2
Q
2^1
A
2
3
Q
2^3
A
8
4
Q
2^2
A
4
5
Q
2^4
A
16
6
Q
2^5
A
32
7
Q
2^6
A
64
8
Q
2^7
A
128
9
Q
2^8
A
256
10
Q
2^9
A
512
11
Q
2^10
A
1024
12
Q
2^11
A
2048
13
Q
3^0
A
1
14
Q
3^1
A
3
15
Q
3^2
A
9
16
Q
3^3
A
27
17
Q
3^4
A
81
18
Q
3^5
A
243
19
Q
3^6
A
729
20
Q
5^0
A
1
21
Q
5^1
A
5
22
Q
5^2
A
25
23
Q
5^3
A
125
24
Q
5^4
A
625
25
5^5
3125
26
1^2
1
27
2^2
4
28
3^2
9
29
4^2
16
30
5^2
25
31
6^2
36
32
7^2
49
33
8^2
64
34
9^2
81
35
10^2
100
36
11^2
121
37
12^2
144
38
13^2
169
39
14^2
196
40
15^2
225
41
16^2
256
42
17^2
289
43
18^2
324
44
19^2
361
45
20^2
400
46
1^3
1
47
2^3
8
48
3^3
27
49
4^3
64
50
5^3
125
51
6^3
216
52
7^3
343
53
8^3
512
54
9^3
729
55
10^3
1000
56
# Quick tips to learn
The smallest multiple of any number is:
The number itself
57
# Quick tips to learn
The largest multiple of any number is:
Infinity
58
# Definition
The definition of a multiple is:
A number multiplied by a positive number
59
# Quick tips to learn
What is the relationship between a divisor and a factor?
They are the same thing
60
# Definition
The definition of a divisor is:
A positive integer which when used to divide a number does not give a remainder
61
# Quick tips to learn
The smallest divisor of any number is:
1
62
# Quick tips to learn
The largest divisor of any number is:
The number itself
63
# Quick tips to learn
The multiples of a number can never be what?
Smaller than the number itself
64
# Solve
87 x 99
8613
| Use power of 10s
65
# Solve
101 x 30 x 19
57570
| Use power of 10s
66
# Solve
97 x 230 - 310
22000
| Use power of 10s
67
# Solve
39 x 25 + 17 x 19
1298
| Use power of 10s
68
# Solve
27 x 99 + 101 x 43
7016
| Use power of 10s
69
# Solve
80 x 79
6320
| Use power of 10s
70
# Solve
11 x 50 x 49
26950
| Use power of 10s
71
# Solve
98 x 370 - 1260
35000
| Use power of 10s
72
# Solve
29 x 15 + 16 x 49
1219
| Use power of 10s
73
# Put in simplified fraction form
0.13
13/100
74
# Put in simplified fraction form
0.7
7/100
75
# Put in simplified fraction form
0.18
9/50
76
# Put in simplified fraction form
0.35
7/20
77
# Put in simplified fraction form
0.0023
23/1000
78
# Put in simplfied fraction form
0.017
17/1000
79
# Quick tips to learn
To compare fractions then we should do what?
Make either the numerators or denominators equal
80
# Quick tips to learn
When multiplying a number between 0 and 1 the answer will be what?
Smaller than the original value
81
# Quick tips to learn
When dividing a number between 0 and 1 the answer will be what?
Greater than the original value
82
# Methodology
How do you find the fraction for a recurring number with algebra?
If *x = 0.222222 (eq 1)*
**Multiply by 10^n where n is the length of the recurring pattern - in this case n = 1**
*(10^1)x = 2.222222 (eq 2)*
**Subtract 1 from 2. **
*9 x = 2*
*x = 2/9 so 0.222222=2/9*
83
# Translation
Find a X% of Y means
Multiply: OF = MULTIPLY
83
# Methodology
To find a percent increase what is the multiplier?
1 + percentage/100
| or 1+ percent as a fraction
84
# Methodology
To find a percent decrease what is the multiplier?
1- percentage/100
| or 1- percent as a fraction
85
What are the first 10 powers of 2?
## Footnote
Quant Basics
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
86
What are the first 10 powers of 3?
## Footnote
Quant Basics
1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683, 59049
87
What are the first 6 powers of 5?
## Footnote
Quant Basics
1, 5, 25, 125, 625, 3125
88
What are the squares from 1 to 10?
## Footnote
Quant Basics
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
89
What are the squares from 11 to 20?
## Footnote
Quant Basics
121, 144, 169, 196, 225, 256, 289, 324, 361, 400
90
What are the cubes from 1 to 10?
## Footnote
Quant Basics
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
91
# Perfect squares
The root of a perfect square is
## Footnote
Quant Basics
A positive integer
92
# Perfect squares
A perfect square is...
## Footnote
Quant Basics
The square of a positive integer
93
What is the equation for unit conversion?
x (UC) = y
94
How do you count the number of multiples of x from 1-n inclusive?
((highest multiple - lowest multiple ) /x ) +1
95
What is the divisibility rule for 3?
Sum of digits is divisible by 3
96
What is the divisibility rule for 4?
Integer is divisible by 2 twice OR
Last 2 digits are divisible by 4
97
What is the divisibility rule for 5?
Integer ends in 0 or 5
98
What is the divisibility rule for 6?
Interger is divisible by 2 and 3 and
Even number where Sum of digits is divisble by 3
99
What is the divisibility rule for 8?
Divisible by 2 three times OR
Last 3 digits are divisible by 8
100
What is the divisibility rule for 9?
Sum of digits divisible by 9
101
What is the divisibility rule for 11 ?
Sum of Odd Place Digits
Sum of Even Place Digits
are Divisible by 11