Math Flashcards
1/6
0.166
1/8
0.125
Principal + I nterest
Principal * (1 + r)^t
Percent Change
(Difference / Original) * 100
Dividend
Number that is being divided
Divisor
Number dividing by
Greatest Common Factor (GCF)
The largest divisor of 2 or more integers
Least Common Multiple (LCM)
The smallest multiple of 2 or more integers
Prime
An integer that is only divisible by 1 and itself
A number is divisible by 2
Its even (i.e., its last digit is even)
A number is divisible by 3
Its digits add up to a multiple of 3
A number is divisible by 4
Its last two digits are divisible by 4
A number is divisible by 5
Its last digit is 5 or 0
A number is divisible by 6
Apply the rules of 2 and 3
A number is divisible by 9
Its digits add up to a multiple of 9
A number is divisible by 10
Its last digit is zero
A number is divisible by 12
Apply rules of 3 and 4
Positive integers that are perfect squares have…
An odd number of factors
Positive integers that are not perfect squares have…
An even number of factors
GCF(x, y)
GCF(x - y, y)
LCM(a, b)
ab / GCF(a, b)
Finding the Number of Factors
- Write the prime factorization of the intege in exponent form.
- Add 1 to each exponent.
- Multiply the resulting sums together.
Rational Number
A number that can be expressed as a simple fraction.
Irrational number
A number that cannot be expressed as a fraction.
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
25^2
625
30^2
900
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
20^3
8000
sqrt(4)
2
sqrt(9)
3
sqrt(16)
4
sqrt(25)
5
sqrt(36)
6
sqrt(49)
7
sqrt(64)
8
sqrt(81)
9
sqrt(100)
10
sqrt(121)
11
sqrt(144)
12
sqrt(169)
13
sqrt(196)
14
sqrt(225)
15
sqrt(256)
16
sqrt(289)
17
sqrt(324)
18
sqrt(361)
19
sqrt(400)
20
sqrt(625)
25
sqrt(900)
30
cbrt(8)
2
cbrt(27)
3
cbrt(64)
4
cbrt(125)
5
cbrt(216)
6
cbrt(343)
7
cbrt(512)
8
cbrt(729)
9
cbrt(1,000)
10
cbrt(8,000)
20
Average
Total / Number of Things
Even Spacing, Summations, and Averages
For any list of numbers, the sum is the product of the average of those numbers and the number of numbers in the list.
Rate
Distance / Time
Amount of Work / Time
Pythagorean Triples
3: 4:5
5: 12:13
45-45-90 Triangle
a - a - a*sqrt(2)
30-60-90 Triangle
a - a*sqrt(3) - 2a
Third-Side Rule
difference of the other two sides < third side < sum of the other two sides
Area of triangle
(1/2) * base * height
Area of parallelogram
base * height
Area of rectangle
length * width
Perimeter of rectangle
2 * (length + width)
Area of square
side^2
Perimeter of square
4 * side
Circumference of circle
2 * pi * radius
Area of circle
pi * radius^2
Proportions of a circle
central / 360 = arc / circumference = sector / area
