Quant Basics Flashcards
2^0
1
2^1
2
2^3
8
2^2
4
2^4
16
2^5
32
2^6
64
2^7
128
2^8
256
2^9
512
2^10
1024
2^11
2048
3^0
1
3^1
3
3^2
9
3^3
27
3^4
81
3^5
243
3^6
729
5^0
1
5^1
5
5^2
25
5^3
125
5^4
625
5^5
3125
1^2
1
2^2
4
3^2
9
4^2
16
5^2
25
6^2
36
7^2
49
8^2
64
9^2
81
10^2
100
11^2
121
12^2
144
13^2
169
14^2
196
15^2
225
16^2
256
17^2
289
18^2
324
19^2
361
20^2
400
1^3
1
2^3
8
3^3
27
4^3
64
5^3
125
6^3
216
7^3
343
8^3
512
9^3
729
10^3
1000
Quick tips to learn
The smallest multiple of any number is:
The number itself
Quick tips to learn
The largest multiple of any number is:
Infinity
Definition
The definition of a multiple is:
A number multiplied by a positive number
Quick tips to learn
What is the relationship between a divisor and a factor?
They are the same thing
Definition
The definition of a divisor is:
A positive integer which when used to divide a number does not give a remainder
Quick tips to learn
The smallest divisor of any number is:
1
Quick tips to learn
The largest divisor of any number is:
The number itself
Quick tips to learn
The multiples of a number can never be what?
Smaller than the number itself
Solve
87 x 99
8613
Use power of 10s
Solve
101 x 30 x 19
57570
Use power of 10s
Solve
97 x 230 - 310
22000
Use power of 10s
Solve
39 x 25 + 17 x 19
1298
Use power of 10s
Solve
27 x 99 + 101 x 43
7016
Use power of 10s
Solve
80 x 79
6320
Use power of 10s
Solve
11 x 50 x 49
26950
Use power of 10s
Solve
98 x 370 - 1260
35000
Use power of 10s
Solve
29 x 15 + 16 x 49
1219
Use power of 10s
Put in simplified fraction form
0.13
13/100
Put in simplified fraction form
0.7
7/100
Put in simplified fraction form
0.18
9/50
Put in simplified fraction form
0.35
7/20
Put in simplified fraction form
0.0023
23/1000
Put in simplfied fraction form
0.017
17/1000
Quick tips to learn
To compare fractions then we should do what?
Make either the numerators or denominators equal
Quick tips to learn
When multiplying a number between 0 and 1 the answer will be what?
Smaller than the original value
Quick tips to learn
When dividing a number between 0 and 1 the answer will be what?
Greater than the original value
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
Translation
Find a X% of Y means
Multiply: OF = MULTIPLY
Methodology
To find a percent increase what is the multiplier?
1 + percentage/100
or 1+ percent as a fraction
Methodology
To find a percent decrease what is the multiplier?
1- percentage/100
or 1- percent as a fraction
What are the first 10 powers of 2?
Quant Basics
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
What are the first 10 powers of 3?
Quant Basics
1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683, 59049
What are the first 6 powers of 5?
Quant Basics
1, 5, 25, 125, 625, 3125
What are the squares from 1 to 10?
Quant Basics
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
What are the squares from 11 to 20?
Quant Basics
121, 144, 169, 196, 225, 256, 289, 324, 361, 400
What are the cubes from 1 to 10?
Quant Basics
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
Perfect squares
The root of a perfect square is
Quant Basics
A positive integer
Perfect squares
A perfect square is…
Quant Basics
The square of a positive integer
What is the equation for unit conversion?
x (UC) = y
How do you count the number of multiples of x from 1-n inclusive?
((highest multiple - lowest multiple ) /x ) +1
What is the divisibility rule for 3?
Sum of digits is divisible by 3
What is the divisibility rule for 4?
Integer is divisible by 2 twice OR
Last 2 digits are divisible by 4
What is the divisibility rule for 5?
Integer ends in 0 or 5
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
What is the divisibility rule for 8?
Divisible by 2 three times OR
Last 3 digits are divisible by 8
What is the divisibility rule for 9?
Sum of digits divisible by 9
What is the divisibility rule for 11 ?
Sum of Odd Place Digits
Sum of Even Place Digits
are Divisible by 11
