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46 Cards in this Set
- Front
- Back
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Percent Formula
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% = Part/Whole
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% Change
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(Change/Original)*100
Price goes from 80 to 100 20(change in price)/80 = .25*100 = 25% |
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How to identify if a number is a multiple of 4?
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Last two digits are multiples of 4. EX 816 --> 16 is divisible by 4
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How to identify if a number is a multiple of 6?
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Sum of digits is a multple of 3 and last digit is even. EX 666 --> 6+6+6 = 18, divisible by 3. 6 is even
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How to identify if a number is a multiple of 9?
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Sum of digits is multiple of 9. EX 126 --> 1+2+6 = 9
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How to identify if a number is a multiple of 11?
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Difference between sum of alternate numbers is multiple of 11. EX 242 --> 2+2 = 4 and 4= 4.. difference is 0, thus divisble by 11
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How to identify if a number is a multiple of 12?
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Sum of digits is multiple of 3 and last two digits is multiple of 4.
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How to find Least Common Multple?
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Identify prime factors of each number. Cancel common factors between both numbers. Multiply remaining factors together.
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How to find Greatest Common Divisor?
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Identify prime factors of each number. Multiply common factors between both numbers.
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Average of evenly spaced numbers
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Take average of largest and smallest.
ave of 13, 15, 17... 121? (121+13)/2 = 67 |
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Special Triangles
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Basic Probablity
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# of Favorable Outcomes / # of all Possible Outcomes
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Area of Triangle
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A = 1/2*B*H
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Area of Parallelogram
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A = B*H
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Area of Trapezoid
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I. A = 1/2*(Sum of Parallel Sides)*H
II. A of square + A of Triangle |
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Circumference of Circle
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C = 2PiR or PiD
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Area of Circle
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A = PiR^2
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Distance Between Two Points
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SQRT((Y2-Y1)^2 + (X2-X1)^2)
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Slope of Line passing through (X1,Y1) and (X2,Y2)
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(Y2-Y1)/(X2-X1)
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Simple Interest
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P*N*R
P=Principal N=# of Years R=Rate of Interest |
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Compound Interest
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A = P(1+R/C)^(NC)
P=Principal N=# of Years R=Rate of Interest A=Final Amount C=# of times compounded annually |
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Average Round-Trip time
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(2*A*B)/(A+B)
A&B are the average speed for each trip |
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Work Problems
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(1/R)+(1/S) = (1/T)
R = Time of first person S = Time of second person T = Time taken together |
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Dilution and Mixture
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W(d-w) = S(s-d)
W=Amount of weaker solution S=Amoun of stronger solution w=% or cost of weaker solution s=% or cost of stronger solution d=% or cost of desired solution |
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Two Set problems
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Total = Group1+Group2+Neither-Both
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Permutation
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# of ways to arrange when order is important
nPk = n!/(n-k)! |
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Combinations
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# of ways to select when order is not important
nCk = n!/k!(n-k)! |
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Multiple Event Probability
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1) Find Probability of Individual Events
2) Multiply the individual probabilities |
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Standard Deviation
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SD = SQRT(sum(x-y)^2)/n)
x = each number in set n = total number of values y = mean of set **For each number in the set, subtract the mean from it and square the result. Add All the squared results, divide by n and take the square root of the result |
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Linear equation of a line
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Y=mX + C
m = slope of line C = Y-Intercept |
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Sum of Angles of a Polygon
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180*(n-2)
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Measure of each angle of a regular polygon
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(180*(n-2))/n
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Length of an Arc
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2PiR*(N/360)
N = Size of angle |
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Area of Sector
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PiR^2*(N/360)
N=Size of angle |
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Area of inscribed square/rectangle
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1) Determine triangle formed by diagonal of figure (IE A square would create a 45/45/90 triangle)
2) Determine length of hypotenuse 3) Hypotenuse is Diameter **Use these steps in either direction to solve for unknown |
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Inscribed Triangle
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If two endpoints of a triangle form diameter of a circle than the third end point (if also on circle) has a 90* angle.
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Area of Cone
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PiRL + PiR^2
L = "hypotenuse" of cone |
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Volume of Cone
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1/3*Pi*R^2*H
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Area of Cylinder
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2PiR(R+H)
or 2PiR^2 + 2PiRH |
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Volume of Cylinder
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PiR^2H
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Area of Sphere
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4PiR^2
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Volume of Sphere
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(4/3)PiR^3
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"Nth" term of an Arithmetic Progression
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A + (N-1)D
A = First Term D = Difference between terms IE 1,3,5,7... A = 1 D = 2 |
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Sum of first N terms of an Arithmentic Progression
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(N/2)(2A + (N-1)D)
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"Nth" term of a geometric progression
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AR^(N-1)
A = First Term R = Multiplier in progressin 3,6,12,24... A=3 R=2 A=2 R=2 |
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Sum of first N terms of a Geometric Progression
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(A(1-R^N))/(1-R)
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