Facts Flashcards
(106 cards)
1
Q
11²
A
121
2
Q
12²
A
144
3
Q
13²
A
169
4
Q
14²
A
196
5
Q
15²
A
225
6
Q
16²
A
256
7
Q
17²
A
289
8
Q
18²
A
324
9
Q
19²
A
361
10
Q
20²
A
400
11
Q
2³
A
8
12
Q
3³
A
27
13
Q
4³
A
64
14
Q
5³
A
125
15
Q
6³
A
216
16
Q
7³
A
343
17
Q
8³
A
512
18
Q
9³
A
729
19
Q
2⁶
A
64
20
Q
2⁷
A
128
21
Q
2⁸
A
256
22
Q
2⁹
A
512
23
Q
4⁴
A
256
24
Q
3⁴
A
81
25
5⁴
625
26
9²
81
27
Prime Numbers
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 97
28
1%
1⁄100 (0.01)
29
5%
1⁄20 (0.05)
30
10%
1⁄10 (0.1)
31
20%
1⁄5 (0.2)
32
25%
1⁄4 (0.25)
33
40%
2⁄5 (0.4)
34
50%
1⁄2 (0.5)
35
60%
3⁄5 (0.6)
36
75%
3⁄4 (0.75)
37
80%
4⁄5 (0.8)
38
11 1⁄9 %
1⁄9 (0.111...)
39
22 2⁄9 %
2⁄9 (0.222...)
40
33 3⁄9 %
3⁄9 = 1⁄3 (0.333...)
41
44 4⁄9 %
4⁄9 (0.444...)
42
55 5⁄9 %
5⁄9 (0.555...)
43
66 6⁄9 % / 66.66%
6⁄9=2/3 (0.666...)
44
77 7⁄9 %
7⁄9 (0.777...)
45
88 8⁄9 %
8⁄9 (0.888...)
46
12 1⁄2 %
1⁄8 (0.125)
47
37 1⁄2 %
3⁄8 (0.375)
48
62 1⁄2 %
5⁄8 (0.625)
49
87 1⁄2 %
7⁄8 (0.875)
50
16 2⁄3 %
1⁄6 (0.1666...)
51
83 1⁄3 %
5⁄6 (0.833...)
52
1⁄7
0.14
53
Normal Distribution - both sides from mean (Bell shaped, symmetric about mean)
68% - 95% - 99.7%
54
Normal Distribution - one side from mean (Bell shaped, symmetric about mean)
34% - 13.5% - 2.35% - 0.15%
55
Roots of a Quadratic Equation (ax²+bx+c=0)
(-b ± √ (b² – 4ac) )/2a
56
Determinant of a Quadratic Equation (ax²+bx+c=0)
b² – 4ac (=0, equal roots; >0, 2 real roots; <0, imaginary roots
57
Sum of the Roots of a Quadratic Equation (ax²+bx+c=0)
-b/a
58
Product of the Roots of a Quadratic Equation (ax²+bx+c=0)
c/a
59
0/x
0
60
x/0
undefined
61
|x| < a
-a < x < a
62
|x| > a
a < x < -a
63
Horizontal Line
y=b; slope = 0
64
Million
10⁶
65
Billion
10⁹
66
Decimal places (right of decimal point)
Tenths, Hundredths, Thousandths, Ten Thousandths, Hundred Thousandths, Millionths)
67
x = √(k+ √(k + √(k+ ...
x = √(k+x)
68
Line y=x divides quadrant into
xy
69
√2
1.4
70
√3
1.7
71
√5
2.2
72
Every ODD integer can be expressed as
a difference of 2 consecutive squares of integers
73
Evenly spaced nos
Mean=Median
74
Consecutive integers
Mean=Median
75
Consecutive multiples of same no
Mean=Median
76
Symmetrical list
Mean=Median
77
Overlapping Sets (3)
A=a+d+g+e; B=b+d+g+f; C=c+e+g+f; T=n+[a+b+c+d+e+f+g]
78
Overlapping Sets (3) [sum of 2-group overlaps]
T=A+B+C-(sum of 2-group overlaps)+(all 3)+n
79
Overlapping Sets (3) [sum of exactly 2-group overlaps]
T=A+B+C-(sum of exactly 2-group overlaps)-2*(all 3)+n
80
Positive Integers
1,2,3... (Does NOT include 0)
81
Overlapping Sets (2)
T=A+C-(both A&C)+n / T=a+b+c+n
82
Vertical Line
x=a; slope=undefined
83
Parabola Eq (vertex form)
y=(x-h)² + k; vertex: (h,k)
84
Point position w.r.t line/curve
Curve y=ax²+bx+c; Point (p,q) lies above if q>ap²+bp+c below if q<
85
Pascal's triangle for combinations
2, 3, 4-6, 5-10, 6-15-20, 7-21-35
86
(even)² - (even)²
Divisible by 4
87
(odd)² - (odd)²
Divisible by 4
88
|x - c|
Distance b/w x & c
89
0^(¹⁄ₙ)
0
90
1^(¹⁄ₙ)
1
91
|x| = -x
x is negative
92
|x| = x
x is positive
93
A number is divisible by 11 if
the sum of the
odd-numbered place digits minus the sum
of the even-numbered place digits is
divisible by 11.
94
The units digits of positive powers of 2 will
follow the four-number pattern
2-4-8-6
95
The units digits of positive powers of 3 will
follow the four-number pattern
3-9-7-1
96
The units digits of positive powers of 4 will
follow a two-number pattern
4-6
97
All positive powers of 5 & 6 end in
5 & 6
98
The units digits of positive powers of 7 will
follow the four-number pattern
7-9-3-1
99
The units digits of positive powers of 8 will
follow the four-number pattern
8-4-2-6
100
The units digits of positive powers of 9 will
follow a two digit pattern
9-1
101
The smallest five non-negative integers which are both perfect squares and perfect cubes
0, 1, 64, 729, 4096
Any integer of the form a^6 (where a is an integer) is both a perfect square and a perfect cube.
102
The number of trailing zeros of a number is
the number of (5x2) pairs in the prime factorization of that number.
103
If X (not a perfect power of 10) is an integer with k digits, then 1/x will have ___ leading zeros.
k – 1
104
If X (a perfect power of 10) is an integer with k digits, then 1/x will have ___ leading zeros.
k - 2
105
GCF of two consecutive integers
1
106
2¹⁰
1024
