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46 Cards in this Set
- Front
- Back
circumference of a cicle |
2*pi*r |
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ratio 30:60:90
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1:root3:2
|
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45:45:90
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1:1:root2
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two special right triangles
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3:4:5
5:12:13 |
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arithmetic sequence
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a(n) = a(1) + (n-1)d
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geometric sequence
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a(n) = a *r (n-1)
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combination problems
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nCk = n!/ k! * (n-k)!
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0.25
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1/4
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0.5
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1/2
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0.75
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3/4
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3.75
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15/4
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0.33
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1/3
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0.66
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2/3
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1.66
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5/3
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0.2
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1/5
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0.4
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2/5
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0.6
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3/5
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0.8
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4/5
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1.2
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6/5
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2.4
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12/5
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0.125
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1/8
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0.375
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3/8
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0.625
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5/8
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0.875
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7/8
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mean |
average of all values in a set |
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mode |
what number has the highest frequency |
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median |
middle value. On even sets, you take the two middle values and divide by two |
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standard deviation |
a measure of spread of values in a set with relation to the mean |
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range |
largest value - smallest value |
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All Prime Numbers below 60 |
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59 |
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Percent change |
final - initial / initial * 100 |
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A number is divisible by two if |
it is even |
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a number is divisible by three if |
the sum of the numbers is divisible by 3 |
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a number is divisible by 4 |
if the last two digets are divisible by 4 |
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a number is divisible by 5 |
if it has a 5 or 0 at the end |
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a number is divisible by 6 |
if it is even and the sum of all digits is divisible by 3 |
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a number is divisible by 9 if |
the sum of all numbers is divisible by 9 |
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how do you find out how many factors there are in a number? |
first break down to prime factorization (ex: 2^5 * 3^3 * 5^2)
Then think about how many options there are for each prime (ex: you can have 0,1,2,3,4,5 2s)
The amount of factors is 6*4*3 |
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Greatest common factor |
Is the biggest factor shared by two numbers.
How do you find it?
break down into prime factors and then if multiple numbers are shared, multiply those numbers to find the GCF |
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Least common multiple |
smallest number where two numbers are factors
EX: the LCM of 4 and 6 is 12 |
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a number is divisible by 8 if |
if the last three digits are divisible by 8 |
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what is the minimum greatest common factor for all numbers |
1 |
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triangle inequality theorem |
the sum of two sides is always greater than the 3rd side. |
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the median of a set of consecutive integers equals |
the mean |
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composite number |
is greater than 1 and is not prime |
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is zero a positive number? |
no |