Arithmetic & Data Analysis

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Author:
jhahl
ID:
97335
Filename:
Arithmetic & Data Analysis
Updated:
2011-09-29 20:21:43
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GRE math
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From CliffsNotes Math Review for Standardized Tests
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  1. 12 * 6
    72
  2. 12 * 7
    84
  3. 12 * 8
    96
  4. 12 * 9
    108
  5. 12 * 10
    120
  6. 12 * 11
    132
  7. 12 * 12
    144
  8. 11 * 10
    110
  9. 11 * 11
    121
  10. 11 * 12
    132
  11. The numbers 1, 2, 3, 4....are called __________.
    Natural or counting numbers
  12. The numbers 0, 1, 2, 3...are called ____________.
    Whole numbers
  13. The numbers...-2, -1, 0, 1, 2...are called ___________.
    Integers
  14. Fractions and integers fall into a category called _________.
    Rational numbers
  15. 9 * 12
    108
  16. Square root of 3 and pie are examples of ____________.
    Irrational numbers
  17. A prime number is a number that can be divided evenly only by _____________.
    One and itself.
  18. A composite number is divisible by ____________.
    More than one and itself.
  19. The first four square numbers greater than zero are ____, ____, ____, ______.
    1, 4, 9, 16
  20. 8 * 7
    56
  21. 8 * 8
    64
  22. The first four cube numbers greater than zero are _____, ____, _____, _____.
    1, 8, 27, 64
  23. 8 * 12
    96
  24. "5 times 4" can be written a number of ways. Show three of them.
    5 x 4; 5 * 4, 5(4)
  25. List the property represented by:

    3 + 0 = 3
    Additive property
  26. List the property represented by:

    4 x 1 = 4
    Mulitplicative property
  27. 7 * 6
    42
  28. List the property represented by:

    3 + 6 = 6 + 3
    Commutative property of addition
  29. 7 * 8
    56
  30. List the property represented by:

    4 + (6 + 2) = (4 + 6) + 2
    Associative property of addition
  31. 7 * 12
    84
  32. List the property represented by:

    3 + (-3) = 0
    Additive inverse
  33. List the property represented by:

    4(3 + 5) = 4(3) + 4(5)
    Distributive property of multiplication and addition
  34. List the property represented by:

    7 x 1/7 = 1
    Mulitplicative inverse
  35. List the property represented by:

    6 x 8 = 8 x 6
    Commutative property of multiplication
  36. 6 * 7
    42
  37. 6 * 8
    48
  38. List the property represented by:

    (2 x 6) x 3 = 2 x (6 x 3)
    Associative property of multiplication
  39. 6 * 12
    72
  40. In the number 543,216, which digit is in the ten thousands place?
    4
  41. Express 367 in expanded notation.
    (3 x 102) + (6 x 101) + (7 x 100)
  42. Simplify 3[5 + 2(3-1)]
    1. 3[5 + 2(3-1)]

    2. 3[5 + 2(2)]

    3. 3[5 + 4]

    4. 3[9] = 27
  43. -8 + 5 =
    -3
  44. 8 - 17 =
    -9
  45. 12 - (-6) =
    12 + 6 = +18
  46. -19
    - + 24
    • -19
    • -24
    • -43
  47. 12 - (4 - 7 + 6) =
    12 - 4 + 7 - 6 = 9
  48. (-18)(5) =
    -90
  49. -15 divided by -3 =
    +5
  50. 0 divided by 5 =
    0
  51. 8
    0
    Undefined
  52. An improper fraction has ______________________.
    a numerator that is larger than or equal to the denominator.
  53. Change 17/3 to a mixed number.
    5 2/3
  54. Change 9 1/4 to an improper fraction.
    37/4
  55. Reduce 14/35
    2/5
  56. Change 1/4 to twelfths
    3/12
  57. List all the factors of 30.
    1, 2, 3, 5, 6, 10, 15, 30
  58. List the first four mulitples of 7.
    7, 14, 21, 28
  59. 3/7 + 4/5=
    15/35 + 28/35 = 43/35 = 1 8/35
  60. What is 45% of 30?
    x = .45(30)

    x = 13.5
  61. 21 is 30% of what number?
    21 = .30x

    70 = x
  62. 15 is what percent of 120?
    15 = 120x

    .125 or 12 1/2%
  63. What is the percent increase from 120 to 150?
    Percent change = change divided by starting point

    30/120 = .25 = 25%
  64. Express 360,000 in scientific notation.
    3.6 x 105
  65. Express 0.0002 in scientific notation.
    2 x 10-4
  66. (3 x 105)(2 x107) =
    6 x 1012
  67. (7 x 103)(5 x 108)
    3.5 x 1012

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