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Bert GRE Math
Math facts for GRE
| Question | Answer |
|---|---|
| √2 [approximately] | 1.4 |
| √3 [approximately] | 1.7 |
| Prime Numbers Less Than 50 | 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47 |
| Testing Divisibility by 4 | If the last two digits of a number are divisible by 4, then the number itself is divisible by 4 |
| Testing Divisibility by 8 | If the last three digits of a number are divisible by 8, then the number itself is divisible by 8 |
| Associative Laws | (a+b)+(c+d) = a+(b+c+d) (ab)(cd) = a(bcd) |
| Distributive Laws | a(b+c) = ab+ac a(b-c) = ab-ac |
| Multiplication of Exponents | (a^x)(a^y) = a^(x+y) |
| Division of Exponents | (a^x)/(a^y) = a^(x-y) |
| Negative Exponents | a^-x = 1/a^x |
| Nested Exponents | (a^x)^y = a^(xy) |
| Multiplication of Square Roots | √x√y = √xy |
| Division of Square Roots | √(x/y) = √x / √y |
| Radical Sign Positivity | √x is only the positive square root of x |
| x^2 - y^2 | = (x+y)(x-y) |
| x^2 + 2xy + y^2 | = (x+y)^2 |
| x^2 - 2xy + y^2 | = (x-y)^2 |
| Numerical Mode | Number that occurs most frequently in a set |
| Numerical Range | The difference between the largest and smallest numbers of a set |
| Percentage Breakdowns in a Normal Distribution | 1st standard deviation: 34% of population 2nd standard deviation: addl 14% of population |
| Average Pie | Total ----------------------- | # of Things x Average |
| Rate Pie | Distance/Amount ----------------------- | Time x Rate |
| Diagonal in a 3-Dimensional Rectangular Box | a^2 + b^2 + c^2 = d^2 |
| Third Side Rule | The length of any one side of a triangle must be less than the sum of the other two sides and greater than the difference of the other two sides |
| Area of a Triangle | (1/2)bh |
| Common Right Triangle Ratios | 3:4:5 5:12:13 7:24:25 |
| Sides of a Right Isosceles Triangle (45/45/90) | x:x:x√2 |
| Sides of a 30/60/90 Triangle | x:x√3:2x |
| Standard Line Formula | y=mx+b m=slope=rise/run=(y2-y1)/(x2-x1) b=y-intercept |
| 0! | 1 |
| Permutations - Order Matters | - How may slots - Determine options per slot in order - Multiply options |
| Combinations - Order Doesn't Matter | - Determine as for permutations - Divide by the factorial of # of slots |
| Group Equation | T = G1 + G2 - B + N T = Total G1 = 1st Group G2 = 2nd Group B = Both Groups N = Neither Group |
Created by:
cberteau
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