GRE reading math

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  1. -hypotenuse (the side opposite the right angle)
    -adjacent (the side "next to" θ)
    -opposite (the side furthest from the angle)
    -Triangle: Side 1 opposite to Angle 1*: 1/sin1*=2/sin2*=3/sin3*

    Sin θ = Opposite/Hypotenuse,

    Cos θ = Adjacent/Hypotenuse, and

    Tan θ = Opposite/Adjacent
  2. Issue writing goals
    • 1) write issues in own words
    • 2) base position on evidence, historic events, personal experience.
    • 3) Lead w/best argument
  3. Paragraph structure of issue task
    • P1: paraphrase issue, state position, summarize goal
    • P2: state strongest point
    • P3 & 4 if time: State another point
    • P5: address opposite & refute
    • P6: conclusion/summary address instructions.
  4. read critically by identifying:
    1) Note: topic, scope, purpose, key ideas
  5. argument construction structure
    • 1)identify evidence needed.
    • 2) outline intro: states argument.
    • -middle: id flaws/assumptions
    • -provided examples of needed evidence
    • -conclusion:I'm not persuaded w/o evidence. Link to related ideas.
  6. Goals of argument task
    • -assess concency (clarity)
    • -analyze chain of reason/evidence
    • -critique argument instead of develop it.
  7. time, distance, seed formula
    T=D/S, S=D/T, D=ST
  8. Work formula
    job/time X job/time2 ... ben take 2h, john takes 3: (1/2)(1/3)=5/6 H together
  9. combination formula
    • n!/(k!(n-k!) n=# of items, k=# combinations !=factorial.
    • -4 awards, 7 competitors. combo's of awards for possible winners? n!=(7*6*5*4)/(4*3*2*1)
  10. prime # def
    only divides by self & 1
  11. interger def
    not a fraction or decimal.
  12. whole #
    not negative
  13. numerator vs denominator
    numerator/denominator
  14. operations
    parenthesis, exponents, multiply<->divide, add<-> subtract
  15. determining divisibility of large numbers
    • -2=ends w/digit divisible w/2
    • -3=digits add up to a multiple of 3
    • -4=last 2 digits are a multiple of 4
    • -6=divisible by 2 &3
    • -9=digits add up to multiple of 9
  16. methods of factorization:
    • 1) Work your way up w/prime #'s
    • 2) Word your way down to prime factors.
  17. list of prime factors:
    1,2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59
  18. how do you work your way up factorizations w/prime #'s?
    • e.g. find prime of 210?
    • 210/2=105
    • 105/3=35
    • 35/5=7
    • 7/7=1
  19. how do you work your way up factorization w/primes
    keep dividing numbers until you get to primes.
  20. How do you change inequality signs -X≥-4
    add -1 to both sides X≤4
  21. multiplying #'s w/exponents
    add the exponents.
  22. dividing #'s w/exponents
    subtract exponents
  23. #'s w/exponents in parentheses w/exponents (X^3)^4
    multiply exponents x^12
  24. negative exponents 5^-3
    invert 1/(5^3)
  25. exponent 0
    always =1
  26. adding or subtracting radicals
    2√3+4√2-√2-3√3=?
    • only like radicals can be added or subtracted.
    • =3√2-√3
  27. multiplying & dividing radicals
    6√2(2√5)=?
    • multiply numbers outside first. Then inside.
    • (6)(2)=12, 2x5=10: 12√10
    • -simplifying: factor out perfect square: √72=6√2
  28. fast comparison of fractions
    5/6 or 7/9 is larger?
    cross fractions denominator of one x numerator of the other. 5/6 is larger
  29. tips for solving X^2+10X+25=0 formula name
    Polynomial: (x+5)(x+5), so X=-5
  30. tip: (5x/3)+9=(x/6)+18, x=?
    a)12
    b)8
    c)6
    d)5
    e)4
    choose option divisible by 3 & 6.=C
  31. tips: a>1, ratio of 2a=6 to a^2+2a-3 is
    a) 2a
    b) a+3
    c) 2/(a-1)
    d) 2a/3(3-a)
    e(a-1)/2
    • 1) pick a number <1, like #2 plug it into ans
    • 2) see which ones yield #'s greater than 1, if 2 ans do, pick another number & continue.
  32. probability of tossing penny 4 times, and getting heads only once.
    • 2*2*2*2=16 possibilities
    • 4 possible tosses it could land on heads once.
    • 4/16=.25
  33. probability of rolling six-sided die 4 times, and landing on 3 all 4 times?
    1/6x1/6x1/6x1/6x1/6x1/6=1/1296
  34. probability jar: 10 marbles, 4 blue, 6 red. odds of 2 red marbles in a row, when removing marbles after draw?
    (6/10)(5/9)=3/9

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Author:
studysuccess
ID:
332423
Filename:
GRE reading math
Updated:
2017-06-24 17:48:12
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GRE reading math
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GRE reading math
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GRE reading math
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