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GMAT Quant > Number Values > Flashcards

Number Values Flashcards

1
Q

First 12 Prime Numbers

A

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

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2
Q

Base Fraction: One half

A

1/2, 0.5, 50%

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3
Q

Base Fraction: One third

A

1/3, 0.33. 33.3%

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4
Q

Base Fraction: One fourth

A

1/4, 0.25, 25%

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5
Q

Base Fraction: One fifth

A

1/5, 0.2, 20%

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6
Q

Base Fraction: One sixth

A

1/6, 0.167, 16.7%

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7
Q

Base Fraction: One seventh

A

1/7, 0.143, 14.3%

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8
Q

Base Fraction: One eigth

A

1/8, 0.125, 12.5%

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9
Q

Base Fraction: One ninth

A

1/9, 0.111, 11.1%

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10
Q

Base Fraction: One tenth

A

1/10, 0.1, 10%

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11
Q

Faction to Percent: 1/2

A

50%

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12
Q

Faction to Percent: 1/3

A

0.333, 33.3%

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13
Q

Faction to Percent: 2/3

A

.667, 66.7%

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14
Q

First 9 perfect squares

A

0 (0), 1 (1), 4 (2), 9 (3), 16 (4), 25 (5), 36 (6), 49 (7), 64 (8)

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15
Q

Rules of perfect squares

A

Must end in 0,1,4,5,6,9. CANNOT end in 2,3,7,8

For all perfect squares that are not 0 or 1, all of its prime factors will have even exponents

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16
Q

First 9 perfect cubes

A

0 (0), 1 (1), 8 (2), 27 (3), 64 (4), 125 (5), 216 (6), 343 (7), 512 (8)

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17
Q

Rules of perfect cubes

A

Prime factorization must contain only exponents that are multiples of 3

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18
Q

When do decimal equivalents of fractions terminate

A

Terminate only if the denominator of the reduced fraction has a prime factorization that has only 2s, 5s, or both

If there’s anything other than 2s or 5s, the decimal equivalent will not terminate

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19
Q

Patterns of remainders

A

When a certain divisor is divided into powers of a certain base, a pattern will emerge for each unique combination (i.e. 3 divided into 4, 3^1 has remainder of 3, 3^2 has remainder of 1, 3^3 has remainder of 3, 3^4 has remainder of 1)

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20
Q

0 raised to any power

A

always =0

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21
Q

Pattern of base 1

A

always =1, 1 raised to any power = 1

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22
Q

Pattern of base 2

A

units digit end in pattern of 2, 4, 8, 6

2^4 =16, 2^5 = 32

2^7 = 128, 2^8 = 256

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23
Q

Pattern of base 3

A

units digit end in pattern of 3, 9, 7, 1

3^3 = 27, 3^4 = 81

3^9 - 19,683, 3^10 = 59,049

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24
Q

Pattern of base 4

A

units digit end in pattern of 4, 6 with all odd powers of 4 ending in 4 and all even powers ending in 6

4^3 = 64, 4^4 = 256

4^6 = 4,096, 4^7 = 16,384

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25
Q

Pattern of base 5

A

all end in 5

5^3 = 125, 5^4 = 625

26
Q

Pattern of base 6

A

all end in 6

6^3 = 216, 6^4 = 1,296

27
Q

Pattern of base 7

A

units digit end in pattern 7, 9, 3, 1

7^3 = 343, 7^4 = 2,401

7^7 = 823,543, 7^8 = 5,764,801

28
Q

Pattern of base 8

A

unit digit follow pattern 8, 4, 2, 6

8^3 = 512, 8^4 = 4,096

8^8 = 16,777,216, 8^9 = 134,217,728

29
Q

Pattern of base 9

A

units digit end in pattern of 9, 1 with all odd powers of 4 ending in 9 and all even powers ending in 1

9^3 = 729, 9^4 = 6561

30
Q

Pattern of base greater than 9

A

Follow the same units-digit pattern (i.e. 12 follows 2 pattern)

31
Q

Properties of division by 5

A

When integers with the same digits are divided by 5, the remainder will always be the same

Remainder unit digit 1, 6 = 1/5
Remainder unit digit 2, 7 = 2/5
Remainder unit digit 3, 8 = 3/5
Remainder unit digit 4, 9 = 4/5

32
Q

50%

33
Q

0.667

A

2/3 or 4/6, 0.667, 66.7%

34
Q

75%

35
Q

0.6

36
Q

0.8

37
Q

0.167

A

1/6, 16.7%

38
Q

33.3%

A

1/3 or 2/6 or 3/9

39
Q

66.7%

A

4/6 or 2/3 or 6/9, 0.667

40
Q

0.833

A

5/6, 83.3%

41
Q

14.3%

A

1/7, 0.143

42
Q

0.286

A

2/7, 28.6%

43
Q

42.9%

A

3/7, 0.429

44
Q

0.571

A

57.1%, 4/7

45
Q

0.714

A

5/7, 71.4%

46
Q

85.7%

A

0.857, 6/7

47
Q

0.125

A

1/8, 12/5%

48
Q

0.25

A

1/4, 2/8, 25%

49
Q

37.5%

A

3/8, 0.375

50
Q

62.5%

A

0.625, 5/8

51
Q

75%

A

3/4 or 6/8, 0.75

52
Q

0.875

A

87.5%, 7/8

53
Q

11.1%

A

1/9, 0.111

54
Q

0.222

A

22.2%, 2/9

55
Q

44.4%

A

4/9, 0.444

56
Q

0.556

A

5/9, 55.6%

57
Q

0.778

A

7/9, 77.8%

58
Q

88.9%

A

8/9, 0.889

59
Q

0.0909

A

1/11, 9.09%

60
Q

90.91%

A

10/11, .9091

61
Q

45.5%

A

5/11, .455

GMAT Quant (9 decks)

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