12. Memorization Flashcards
1
Q
What is 11^2?
A
11*11 = 121
2
Q
What is 12^2?
A
12*12 = 144
3
Q
What is 13^2?
A
13*13 = 169
4
Q
What is 14^2?
A
14*14 = 196
5
Q
What is 15^2?
A
15*15 = 225
6
Q
What is 16^2?
A
16*16 = 256
7
Q
What is 17^2?
A
17*17 = 289
8
Q
What is 18^2?
A
18*18 = 324
9
Q
What is 19^2?
A
19*19 = 361
10
Q
What is 20^2?
A
20*20 = 400
11
Q
What is 25^2?
A
25*25 = 625
12
Q
What is 30^2?
A
30*30 = 900
13
Q
What is Sqrt(121)?
A
11*11 = 121
14
Q
What is Sqrt(144)?
A
12*12 = 144
15
Q
What is Sqrt(169)?
A
13*13 = 169
16
Q
What is Sqrt(196)?
A
14*14 = 196
17
Q
What is Sqrt(225)?
A
15*15 = 225
18
Q
What is Sqrt(256)?
A
16*16 = 256
19
Q
What is Sqrt(289)?
A
17*17 = 289
20
Q
What is Sqrt(324)?
A
18*18 = 324
21
Q
What is Sqrt(361)?
A
19*19 = 361
22
Q
What is Sqrt(400)?
A
20*20 = 400
23
Q
What is Sqrt(625)?
A
25*25 = 625
24
Q
What is Sqrt(900)?
A
30*30 = 900
25
What is 2^3?
2^3 = 8
26
What is 3^3?
3^3 = 27
27
What is 4^3?
4^3 = 64
28
What is 5^3?
5^3 = 125
29
What is 10^3?
10^3 = 1,000
30
What is Cbrt(8)?
2^3 = 8
31
What is Cbrt(27)?
3^3 = 27
32
What is Cbrt(64)?
4^3 = 64
33
What is Cbrt(125)?
5^3 = 125
34
What is Cbrt(1,000)?
10^3 = 1,000
35
What is 2^2?
2^2 = 4
36
What is 2^3?
2^3 = 8
37
What is 2^4?
2^4 = 16
38
What is 2^5?
2^5 = 32
39
What is 2^6?
2^6 = 64
40
What is 2^7?
2^7 = 128
41
What is 2^8?
2^8 = 256
42
What is 2^9?
2^9 = 512
43
What is 2^10?
2^10 = 1,024
44
What is 3^2?
3^2 = 9
45
What is 3^3?
3^3 = 27
46
What is 3^4?
3^4 = 81
47
What is Sqrt(9)?
3^2 = 9
48
What is Cbrt(27)?
3^3 = 27
49
What is 81^(1/4)?
3^4 = 81
50
What is 4^3?
4^3 = 64
51
What is 5^3?
5^3 =125
52
What is 9*6?
54
53
What is 9*7?
63
54
What is 9*8?
72
55
What is 8*7?
56
56
What is a^0?
1 for any non-zero value of a
57
What is 0^a?
0
58
What is 1^a?
1
59
What is a^1?
a
60
What are the most common Perfect Squares?
```
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
What is the decimal equivalent of 1/8?
0.125
62
What is 24 x 26?
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
What is Sqrt(2)?
1.4
Remembering that 2/14 is Valentine’s Day might help
64
What is Sqrt(3)?
1.7
Remembering that 3/17 is St. Patrick’s Day might help
65
What is Sqrt(5)?
~2.25
66
How many primes are there between 0 and 50?
15 Primes between 0 and 50
67
What are the Prime Numbers between 0 and 10?
Four primes
2, 3, 5, 7
68
What are the prime numbers between 11 and 20?
Four primes
11, 13, 17, 19
69
What are the primes between 21 and 30?
Two primes
23, 29
70
What are the primes between 31 and 40?
Two primes
31, 37
71
What are the primes between 41 and 50?
Three primes
41, 43, 47
72
What are the factored and distributed forms of the three special products?
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
What is 3!?
3 * 2 * 1 = 6
74
What is 4!?
4 * 3 * 2 * 1 = 24
75
What is 5!?
5 * 4 * 3 * 2 * 1 = 120
76
What is 6!?
6 * 5 * 4 * 3 * 2 * 1 = 720
77
What are the primes between 51 and 100?
Ten primes
```
53, 59
61, 67
71, 73, 79
83, 89
97
```
78
What are the Pythagorean triplets?
```
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)