TTP Flashcards

(96 cards)

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
The units digit of powers of 3 will follow the pattern...
3-9-7-1
26
The units digit of powers of 4 follow the pattern...
4-6
27
The units digit of all odd powers of 4 end in...
4
28
The units digit of all even powers of 4 end in...
6
29
The units digit of all powers of 5 end in...
5
30
The units digit of all powers of 6 end in...
6
31
The units digit of all powers of 7 follow the pattern...
7-9-3-1
32
The units digit of all powers of 8 follow the pattern...
8-4-2-6
33
The units digit of all powers of 9 follow the pattern...
9-1
34
The units digit of all odd powers of 9 end in...
9
35
The units digit of all even powers of 9 end in...
1
36
What is a perfect square?
A number whose prime factors all have even exponents.
37
What is a perfect cube?
A number whose prime factors all even exponents divisible by 3 (except 0 and 1).
38
9 * 9 =
81
39
11 * 11 =
121
40
12 * 12 =
144
41
13 * 13 =
169
42
14 * 14 =
196
43
15 * 15 =
225
44
2 * 2 * 2 =
8
45
3 * 3 * 3 =
27
46
4 * 4 * 4 =
64
47
5 * 5 * 5 =
125
48
6 * 6 * 6 =
216
49
7 * 7 * 7 =
343
50
8 * 8 * 8 =
512
51
9 * 9 * 9 =
729
52
sqrt(2) =
1.4
53
sqrt(3) =
1.7
54
sqrt(5) =
2.2
55
sqrt( x^2 ) =
abs( x )
56
2^4 =
16
57
2^5 =
32
58
2^6 =
64
59
2^7 =
128
60
2^8 =
256
61
2^9 =
512
62
2^10 =
1024
63
3^4 =
81
64
3^5 =
243
65
4^4 =
256
66
5^4 =
625
67
sqrt(x^2) =
|x|
68
2^4 =
16
69
2^5 =
32
70
2^6 =
64
71
2^7 =
128
72
2^8 =
256
73
2^9 =
512
74
2^10 =
1024
75
3^4 =
81
76
3^5 =
243
77
4^4 =
256
78
5^4 =
625
79
simple interest =
principal x rate x time
80
compound interest =
F = P (1+r/n)^nt
81
distance =
rate x time
82
work =
rate x time
83
Percent change:
Final - Initial ------------------ x 100 Initial
84
nCk =
n! / [ (n-k)! * k! ]
85
nPk =
n! / (n-k)!
86
Permutation of indistinguishable items
P = N! / [ a!*b!*c! ... n! ]
87
Area (triangle) =
b * h / 2
88
45°-45°-90° sides
x - x - x*sqrt(2)
89
30°-60°-90° sides
x - x*sqrt(3) - 2*x
90
Prime Numbers 40-60:
41, 43, 47, 53, 59
91
Prime Numbers 60-80:
61, 67, 71, 73, 79
92
Prime Numbers 80-100:
83, 89, 97
93
0.167 =
1/6
94
0.143 =
1/7
95
0.125 =
1/8
96
0.111 =
1/9