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19 Cards in this Set
- Front
- Back
30 - 60 - 90
Triangle |
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Circle Radius
(given a) |
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Slope of a Line
(given two points) |
y2-y1
------- x2-x1 |
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Probability of "at least"...
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use P[1 - x]
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Length
of a number |
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Properties of a Cube
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Cube/Circle
(Inscribed&Circumscribed) |
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SUM OF A CONSECUTIVE SERIES WITH N TERMS
(general rules) |
Sum is only divisible by N IF AND ONLY IF n is odd
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Even/Even
Even/Odd Odd/Odd Odd/Even |
E/E = either
E/O = even O/O = odd O/E = not divisible |
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Arithmetic or Consecutive Series
(mean) |
Mean = Median
(first+last)/2 for a CONSECUTIVE or EVENLY SPACED series (arithmetic series) |
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RULES
Divisibility by 4 Divisibility by 6 Divisibility by 8 Divisibility by 9 |
4 = last two digit divisible by 4
6 = divisible by 3 and 2 8 = last three digits divisible by 8 9 = sum of its digits must be divisible by 9 |
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Diagonal Length of a Square
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Calculate the total # of factors of a large #
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-reduce to prime #s
-multiple (exponent +1) for each |
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GCF
LCM |
GCF - Product of SHARED prime factors (multiply factor with LOWEST EXPONENT)
LCM - Product of ALL prime factors (multiply factor with HIGHEST EXPONENT) |
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Average of an Arithmetic/Consecutive Series
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Mean = Median = (first+last)/2 for a CONSECUTIVE or EVENLY SPACED series (arithmetic series)
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SUM of an Arithmetic Series
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if n = odd, then sum is odd
if n = event, then sum is even |
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Formula for an Arithmetic Series
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an = a1 + (n-1)k
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Simplify (a3 - b3)
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(a3 - b3) = (a - b)(a2 + ab + b2)
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When is a consecutive series of N numbers divisible by N itself?
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ONLY DIVISIBLE when N is ODD
NOT divisible when N is EVEN |