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GRE MATH TIPS

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Term
Definition
divisible by 2   if last digit divisible by 2  
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divisible by 3   if its digits add up to a multiple of 3  
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divisible by 4   if last 2 digits are multiple of 4  
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divisible by 5   last digit 5 or 0  
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divisible by 6   if divisible by both 2 and 3  
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divisible by 9   if digits add up to multiple of 9  
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GCF   break down to prime factors and what they have in common multiply together. EX 36 and 48, (2)(2)(3)(3) and (2)(2)(2)(3)(3) so (2)(2)(3)=12  
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Prime Factors Method 1   work way up through primes. 210=2(105)=(2)(3)(35)=(2)(3)(5)(7)  
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Least Common Multiple   smaller number that is multiple of both. 1) Determine prime factor 2) write out each prime number max number appears 3) multiply together to get LCM. EX) 6 & 8 6=(2)(3) 8=(2)(2)(2) so LCM is (2)(2)(2)(3)=24  
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Multiplying numbers with same base   add exponents  
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Divide 2 power with same base   Keep base and subtract exponents  
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Raise power to another power   multiply exponents (3^2)^4=3^8  
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Different bases same exponents   multiply bases raise to exponent  
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negative exponents   1/#^exponent  
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number to 0 power   equals 1  
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fraction to a power   gives smaller number  
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10 raised to an exponent   exponent dignifies number of 0s  
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Positive Number Square Roots   have both a positive and negative answer  
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Addition and Subtraction of Radicals   only like radicals can be added or subtracted  
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Multiply and Divide Radicals   multiply or divide outside and then inside radicals  
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multiplying fractions   multiply nominators and then denominators  
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Dividing fractions   multiply by reciprocal of fraction after division sign  
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simple interest   keep taking % of original  
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compound   add for each year  
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hours per unit of work   1/a+1/b=1/T reciprocal of 1/T is answer  
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combining averages   sum of terms/number of terms = x(a)+y(b)/(x+y)  
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combination formula   n!/k!(n-k)! where n is number of items in group and k is number of items in each subgroup and ! means factorial (ex 5! = (5)(4)(3)(2)(1))  
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arc length   n/360 * 2pir  
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area of sector   n/360*pir^2  
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lateral surface area of cylinder   2pirh  
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Total surface area of cylinder   2pir^2+2pirh  
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Created by: jlahr
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