TTP Flashcards

1
Q

odd + odd =

A

even

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2
Q

even + even =

A

even

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3
Q

even + odd =

A

odd

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4
Q

odd - odd =

A

even

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5
Q

even - even =

A

even

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6
Q

even x even =

A

even

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7
Q

even x odd =

A

even

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8
Q

odd x odd =

A

odd

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9
Q

Prime numbers less than 20:

A

2, 3, 5, 7, 11, 13, 17, 19

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10
Q

Prime numbers 20-40:

A

23, 29, 31, 37

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11
Q

A number is divisible by 2 if…

A

the ones digit is 0, 2, 4, 6, or 8

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12
Q

A number is divisible by 3 if…

A

the sum of all the digits is divisible by 3

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13
Q

A number is divisible by 4 if…

A

the last two digits of a number are a number divisible by 4

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14
Q

A number is divisible by 5 if…

A

the last digit is a 0 or 5

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15
Q

A number is divisible by 6 if…

A

the number is divisible by both 2 and 3

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16
Q

A number is divisible by 8 if…

A

the last three digits of a number are a number divisible by 8

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17
Q

A number is divisible by 9 if…

A

the sum of all the digits is divisible by 9

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18
Q

A number is divisible by 11 if…

A

the sum of the odd-numbered digits minus the sum of the even-numbered digits is divisible by 11

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19
Q

What are the 3 steps to find the LCM?

A

Step 1: Find the prime factorization of each number.
N=2^a3^b5^c

Step 2: Reduce repeated prime factors by removing the smallest exponents.

Step 3: Multiply the remaining prime factors, disregarding the exponents

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20
Q

What are the 3 steps to find the GCF?

A

Step 1: Find the prime factorization of each number.
N=2^a3^b5^c

Step 2: Reduce repeated prime factors by removing the largest exponents.

Step 3: Multiply the remaining numbers (including exponents).

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21
Q

What is the product of LCM*GCF of two numbers x and y?

A

x * y = LCM * GCF

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22
Q

What will be the units digit of any factorial greater than 5! ?

A

zero

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23
Q

If x is an integer with k digits, then 1/x will have how many leading zeroes in the decimal?

A

k - 1

Unless x is a power of 10, where there would be k - 2 leading zeroes.

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24
Q

The units digit of powers of 2 will follow the pattern…

A

2-4-8-6

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25
Q

The units digit of powers of 3 will follow the pattern…

A

3-9-7-1

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26
Q

The units digit of powers of 4 follow the pattern…

A

4-6

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27
Q

The units digit of all odd powers of 4 end in…

A

4

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28
Q

The units digit of all even powers of 4 end in…

A

6

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29
Q

The units digit of all powers of 5 end in…

A

5

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30
Q

The units digit of all powers of 6 end in…

A

6

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31
Q

The units digit of all powers of 7 follow the pattern…

A

7-9-3-1

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32
Q

The units digit of all powers of 8 follow the pattern…

A

8-4-2-6

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33
Q

The units digit of all powers of 9 follow the pattern…

A

9-1

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34
Q

The units digit of all odd powers of 9 end in…

A

9

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35
Q

The units digit of all even powers of 9 end in…

A

1

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36
Q

What is a perfect square?

A

A number whose prime factors all have even exponents.

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37
Q

What is a perfect cube?

A

A number whose prime factors all even exponents divisible by 3 (except 0 and 1).

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38
Q

9 * 9 =

A

81

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39
Q

11 * 11 =

A

121

40
Q

12 * 12 =

A

144

41
Q

13 * 13 =

A

169

42
Q

14 * 14 =

A

196

43
Q

15 * 15 =

A

225

44
Q

2 * 2 * 2 =

A

8

45
Q

3 * 3 * 3 =

A

27

46
Q

4 * 4 * 4 =

A

64

47
Q

5 * 5 * 5 =

A

125

48
Q

6 * 6 * 6 =

A

216

49
Q

7 * 7 * 7 =

A

343

50
Q

8 * 8 * 8 =

A

512

51
Q

9 * 9 * 9 =

A

729

52
Q

sqrt(2) =

A

1.4

53
Q

sqrt(3) =

A

1.7

54
Q

sqrt(5) =

A

2.2

55
Q

sqrt( x^2 ) =

A

abs( x )

56
Q

2^4 =

A

16

57
Q

2^5 =

A

32

58
Q

2^6 =

A

64

59
Q

2^7 =

A

128

60
Q

2^8 =

A

256

61
Q

2^9 =

A

512

62
Q

2^10 =

A

1024

63
Q

3^4 =

A

81

64
Q

3^5 =

A

243

65
Q

4^4 =

A

256

66
Q

5^4 =

A

625

67
Q

sqrt(x^2) =

A

|x|

68
Q

2^4 =

A

16

69
Q

2^5 =

A

32

70
Q

2^6 =

A

64

71
Q

2^7 =

A

128

72
Q

2^8 =

A

256

73
Q

2^9 =

A

512

74
Q

2^10 =

A

1024

75
Q

3^4 =

A

81

76
Q

3^5 =

A

243

77
Q

4^4 =

A

256

78
Q

5^4 =

A

625

79
Q

simple interest =

A

principal x rate x time

80
Q

compound interest =

A

F = P (1+r/n)^nt

81
Q

distance =

A

rate x time

82
Q

work =

A

rate x time

83
Q

Percent change:

A

Final - Initial
—————— x 100
Initial

84
Q

nCk =

A

n! / [ (n-k)! * k! ]

85
Q

nPk =

A

n! / (n-k)!

86
Q

Permutation of indistinguishable items

A

P = N! / [ a!b!c! … n! ]

87
Q

Area (triangle) =

A

b * h / 2

88
Q

45°-45°-90° sides

A

x - x - x*sqrt(2)

89
Q

30°-60°-90° sides

A

x - xsqrt(3) - 2x

90
Q

Prime Numbers 40-60:

A

41, 43, 47, 53, 59

91
Q

Prime Numbers 60-80:

A

61, 67, 71, 73, 79

92
Q

Prime Numbers 80-100:

A

83, 89, 97

93
Q

0.167 =

A

1/6

94
Q

0.143 =

A

1/7

95
Q

0.125 =

A

1/8

96
Q

0.111 =

A

1/9