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89 Cards in this Set
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- Back
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equilateral triangles
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all sides = 60
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3rd Side Rule
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3rd side must be greater than the difference of the other two and less than the sum of the other two
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similar triangles
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sides are proportional
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Common Triples
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3:4:5
5:12:13 |
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Isoceles Right triangle
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45-45-90
sides are 1:1:root2 |
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30-60-90 triangle
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1:root3:2
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divisible by 3 or 9
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sum of digits must be divisible by 3 or 9
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divisible by 4
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last 2 digits divisible by 4
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divisible by 6
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must be divisible by 2 and 3
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sq. root of 169
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13
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sq. root of 196
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14
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sq. root of 225
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15
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sq. root of 256
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16
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sq. root of 625
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25
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cube root of 64
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4
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cube root of 125
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5
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cube root of 216
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6
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convert 3:4 to a fraction
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3 (or 4) / 7
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Super Pythag
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a^2+b^2+c^2=d^2
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angles of a regular polygon add up to
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(#sides - 2) x 180
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Area of a trapezoid
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1/2 (b1 +b2)(height)
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in comparing the areas of triangles/quadrilaterals, look for
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shared bases
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Group Formula
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if overlap:
A + B + Neither - Both = Total if no overlap: use grid |
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Standard Deviation percents
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2-14-34-34-14-2
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0!=
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1
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1!=
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1
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Beginning of PENMDAS
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Parenthesis, Exponents, Negation
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factors of quadratic equation that is (+,+)
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(+,+)
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factors of quadratic equation that is (-,+)
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(-,-)
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factors of quadratic equation that is (+,-)
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biggest is +
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factors of quadratic equation that is (-,-)
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biggest is negative
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equation of: (x+y)^2
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x^2 + 2xy + y^2
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factors of: x^2 + 2xy + y^2
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(x+y)^2
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equation of: (x-y)^2
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x^2 - 2xy + y^2
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factors of: x^2 - 2xy + y^2
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(x-y)^2
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equation of: (x+y)(x-y)
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x^2-y^2
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factors of: x^2-y^2
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(x+y)(x-y)
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(8-x)^2
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64-16x+x^2
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Geometric Mean
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square root
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slope is
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change in y
change in x |
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equation of a line
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y=mx+b
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y intercept
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x=0
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x intercept
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y=0
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slope>1
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closer to y axis
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slope<1
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closer to x axis
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diagonal of a square=
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side x root2
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diagnal of a square =
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side x root2
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first prime #
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2
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"and" probability problems
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multiply
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"at least" probability problems
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1- NOT
(not may be multiplication because "and) |
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When order doesn't matter
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less discrete elements (small #, placeholders on bottom)
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When order does matter
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more discrete numbers (bigger, no placeholders)
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Interquartiles
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divide into 2 groups, take median (Q2);
then divide two groups into two more and take those medians (Q1 and Q3) |
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Interquartile range
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Q3-Q1
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square root of 121
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11
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square root of 144
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12
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cube root of 8
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2
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cube root of 27
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3
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Integer
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No decimal or fractions
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digits
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0-9 (phone pad)
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"distinct"
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different (e.g. 2 and 3 are distinct)
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9/4
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225%
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225%
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9/4
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2.25
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9/4
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66%
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.66666666
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66%
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2/3
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12.5%
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1/8
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1/8
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12.5%
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.125
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1/8
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37.5%
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3/8
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3/8
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37.5%
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3/8
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.375
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62.5%
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5/8
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5/8
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62.5%
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5/8
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.625
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87.5%
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7/8
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7/8
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87.5%
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7/8
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.875
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root 3 means
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30-60-90 triangle somewhere
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root 2 means
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45-45-90 triangle somewhere
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perpendicular lines
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slopes are negative recipricals (eg. 5 and -1/5)
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exponent (trigger)
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break into common factors, regroup
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root 2=
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1.4 (Valentines)
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root 3=
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1.7 (St. Paddy's)
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"part/arc/sector of a circle"
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Central angle/360 = arc/circum = sector/area
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to find intersection of two lines
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1.) set line equations equal to eachother and solve 2.) plug in x into either equation
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"combination"
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order doesn't matter, #s on bottom
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"arrangement"
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order does matter
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range
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difference b/w largest and smallest # in a set
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