| A | B |
| (Triangle w/ Right Angle) A^2 + B^2 | C^2 |
| area of a square | s 2 |
| Area of a Triangle | 1/2*h*b |
| (a+b)(a-b) | a^2-b^2 |
| a^(1/2) | sqrt(a) |
| a^(b/c) | (c root(a))^b |
| Integer | Any whole number positive or negative including 0 |
| Zero | Is neither negative or positive |
| Integer + Integer or Integer - Integer | Integer |
| Integer/Integer | May or may not result in an integer |
| 1/20 | 5% or .05 |
| 1/11 | 9(1/11)% or .09 repeating |
| 10% or .1 | 1/10 |
| 1/9 | 11(1/9)% or .11 repeating |
| 1/8 | 12(1/2)% or .125 |
| 1/6 | 16(2/3)% or .166 repeating |
| 1/5 | 20% or .2 |
| 25% or .25 | 1/4 |
| 1/3 | 33(1/3)% or .33 repeating |
| 1/2 | 50% or .5 |
| 3/10 | 30% or .3 |
| 40% or .4 | 2/5 |
| 60% or .6 | 3/5 |
| 7/10 | 70% or .7 |
| 4/5 | 80% or .8 |
| 9/10 | 90% or .9 |
| 3/8 | 37(1/2)% or .375 |
| 5/8 | 62(1/2)% or .625 |
| 7/8 | 87(1/2)% or .875 |
| 2/3 | 66(2/3)% or .66 repeating |
| 5/6 | 83(1/3)% or .833 repeating |
| What number n is x percent greater than y | n=y+((x/100)*y) |
| What number n is x percent less than y | n=y-((x/100)*y) |
| Percent Increase | (Amount of increase/Original whole)*100% |
| Percent Decrease | (Amount of decrease/Original whole)*100% |
| X% of y | (x/100)*y |
| Final as percent of original | (Final/Original)*100% |
| Percent Change | (Difference/Original)*100% |
| x% | x/100 |
| Median | Even terms = average of 2 middle terms Odd terms middle value |
| Mode | Number that appears most frequently, you can have more than 1 |
| Range | Positive difference between the largest and smallest term |
| Standard Deviation | sqrt((1/N)*((x1-mean)^2+ (x2-mean)^2+...+(xN-mean)^2)) |
| Average of a set of consecutive integers | equals its median |
| average of a series of consecutive or evenly spaced integers | equals (first term + last term)/2 |
| Sum of values (Consecutive integers) | average value* number of values |
| Number of terms of consecutive integers | Largest number - smalles number + 1 |
| Even # * Any number | Even |
| Odd*Odd | Odd |
| Even^positive integer | Even |
| Odd^positive integer | Odd |
| Zero is | Even |
| Same (Odd or Even)+/-Same | Even |
| Different (Odd or Even)+/-Different | Odd |
| Negative #^odd exponent | Negative |
| Negative #^even exponent | Positive |
| Possible ways to select a small subgroup from a larger group - Unordered | Combinations |
| Possible ways to select a small subgroup from a larger group - Ordered | Permutations |
| Combination formula = nCk (n choose k) | n!/(k!(n-k)!) |
| Permutation formula = nPk | n!/(n-k)! |
| Number of possible arrangements from n items | n! |
| Probability | Number of desired outcomes/Total number of outcomes |
| Probability of 1 or another | add probabilities |
| Probability of one and another (both) | multiply probabilities |