12. Memorization Flashcards

1
Q

What is 11^2?

A

11*11 = 121

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2
Q

What is 12^2?

A

12*12 = 144

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3
Q

What is 13^2?

A

13*13 = 169

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4
Q

What is 14^2?

A

14*14 = 196

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5
Q

What is 15^2?

A

15*15 = 225

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6
Q

What is 16^2?

A

16*16 = 256

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7
Q

What is 17^2?

A

17*17 = 289

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8
Q

What is 18^2?

A

18*18 = 324

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9
Q

What is 19^2?

A

19*19 = 361

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10
Q

What is 20^2?

A

20*20 = 400

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11
Q

What is 25^2?

A

25*25 = 625

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12
Q

What is 30^2?

A

30*30 = 900

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13
Q

What is Sqrt(121)?

A

11*11 = 121

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14
Q

What is Sqrt(144)?

A

12*12 = 144

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15
Q

What is Sqrt(169)?

A

13*13 = 169

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16
Q

What is Sqrt(196)?

A

14*14 = 196

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17
Q

What is Sqrt(225)?

A

15*15 = 225

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18
Q

What is Sqrt(256)?

A

16*16 = 256

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19
Q

What is Sqrt(289)?

A

17*17 = 289

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20
Q

What is Sqrt(324)?

A

18*18 = 324

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21
Q

What is Sqrt(361)?

A

19*19 = 361

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22
Q

What is Sqrt(400)?

A

20*20 = 400

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23
Q

What is Sqrt(625)?

A

25*25 = 625

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24
Q

What is Sqrt(900)?

A

30*30 = 900

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25
Q

What is 2^3?

A

2^3 = 8

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26
Q

What is 3^3?

A

3^3 = 27

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27
Q

What is 4^3?

A

4^3 = 64

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28
Q

What is 5^3?

A

5^3 = 125

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29
Q

What is 10^3?

A

10^3 = 1,000

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30
Q

What is Cbrt(8)?

A

2^3 = 8

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31
Q

What is Cbrt(27)?

A

3^3 = 27

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32
Q

What is Cbrt(64)?

A

4^3 = 64

33
Q

What is Cbrt(125)?

A

5^3 = 125

34
Q

What is Cbrt(1,000)?

A

10^3 = 1,000

35
Q

What is 2^2?

A

2^2 = 4

36
Q

What is 2^3?

A

2^3 = 8

37
Q

What is 2^4?

A

2^4 = 16

38
Q

What is 2^5?

A

2^5 = 32

39
Q

What is 2^6?

A

2^6 = 64

40
Q

What is 2^7?

A

2^7 = 128

41
Q

What is 2^8?

A

2^8 = 256

42
Q

What is 2^9?

A

2^9 = 512

43
Q

What is 2^10?

A

2^10 = 1,024

44
Q

What is 3^2?

A

3^2 = 9

45
Q

What is 3^3?

A

3^3 = 27

46
Q

What is 3^4?

A

3^4 = 81

47
Q

What is Sqrt(9)?

A

3^2 = 9

48
Q

What is Cbrt(27)?

A

3^3 = 27

49
Q

What is 81^(1/4)?

A

3^4 = 81

50
Q

What is 4^3?

A

4^3 = 64

51
Q

What is 5^3?

A

5^3 =125

52
Q

What is 9*6?

A

54

53
Q

What is 9*7?

A

63

54
Q

What is 9*8?

A

72

55
Q

What is 8*7?

A

56

56
Q

What is a^0?

A

1 for any non-zero value of a

57
Q

What is 0^a?

A

0

58
Q

What is 1^a?

A

1

59
Q

What is a^1?

A

a

60
Q

What are the most common Perfect Squares?

A
2*2 = 4
3*3 = 9
4*4 = 16
5*5 = 25
6*6 = 36
7*7 = 49
8*8 = 64
9*9 = 81
11*11 = 121
12*12 = 144
13*13 = 169
14*14 = 196 
15*15 = 225
16*16 = 256 
17*17 = 289
18*18 = 324
19*19 = 361
20*20 = 400
25*25 = 625
61
Q

What is the decimal equivalent of 1/8?

A

0.125

62
Q

What is 24 x 26?

A

624 = 25^2 – 1

Trick: x^2-1=(x-1)(x+1)
x^2-4=(x-2)
(x+2), etc.
x^2-9=(x-3)*(x+3)

63
Q

What is Sqrt(2)?

A

1.4

Remembering that 2/14 is Valentine’s Day might help

64
Q

What is Sqrt(3)?

A

1.7

Remembering that 3/17 is St. Patrick’s Day might help

65
Q

What is Sqrt(5)?

A

~2.25

66
Q

How many primes are there between 0 and 50?

A

15 Primes between 0 and 50

67
Q

What are the Prime Numbers between 0 and 10?

A

Four primes

2, 3, 5, 7

68
Q

What are the prime numbers between 11 and 20?

A

Four primes

11, 13, 17, 19

69
Q

What are the primes between 21 and 30?

A

Two primes

23, 29

70
Q

What are the primes between 31 and 40?

A

Two primes

31, 37

71
Q

What are the primes between 41 and 50?

A

Three primes

41, 43, 47

72
Q

What are the factored and distributed forms of the three special products?

A

Square of a Sum
(x + y) = x^2 + 2xy + y2

Square of a Difference
(x – y)^2 = x^2 – 2xy + y^2

Difference of Squares
(x + y)(x – y) = x^2 – y^2

73
Q

What is 3!?

A

3 * 2 * 1 = 6

74
Q

What is 4!?

A

4 * 3 * 2 * 1 = 24

75
Q

What is 5!?

A

5 * 4 * 3 * 2 * 1 = 120

76
Q

What is 6!?

A

6 * 5 * 4 * 3 * 2 * 1 = 720

77
Q

What are the primes between 51 and 100?

A

Ten primes

53, 59
61, 67
71, 73, 79
83, 89
97
78
Q

What are the Pythagorean triplets?

A
3-4-5 
5-12-13 
7-24-25
8-15-17
9-40-41

NOTE: You can double, triple, or otherwise apply a common multiplier to these lengths (e.g. 6-8-10)