Quant Flashcards
12 X 4
48
12 X 5
60
12 X 6
72
length of triangle sides
less than sum of 2 sides, greater than difference
12 X 7
84
12 X 8
96
12 X 9
108
12 X 11
132
12 X 12
144
2^4
16
2^5
32
2^6
64
2^7
128
2^8
256
2^9
512
2^10
1024
11^2
121
13^2
169
14^2
196
15^2
225
16^2
256
Divisible by 3?
sum of digits = multiple of 3
Divisible by 4?
Last two digits are divisible by 4
Divisible of 6?
Even and sum of digits is multiple of 3
Divisible by 9?
Sum of digits is multiple of 9
Multiplication w/ decimals
Multiply as normal… count decimals places… answer has same number of decimals
144 / 1.2
144/12 -> 12 -> 120
1.44 / 12
144/12 -> 12 -> .12
Multiple
negative numbers are multiples
Checking prime numbers between A and B
only have to check up to n where n^2 is less than B
*check
Unique factor trick (how man unique factors does n have?)
Find prime factors (i.e. 2,2,3,7) –> take exponents (2, 1, 1) –> add 1 to exp and multiply together –> 3X2X2 = 12
Zero?
even, multiple of every number, factor of no number, neither pos or neg
65
5 X 13
What can’t you do with inequalities?
Subtract!
30 : 60 : 90
1 : rt(3) : 2
45 : 45: 90
1 : 1 : rt(2)
Equilateral triangle
All angles are 60 deg
Area //-ogram
b * h
Area of trapezoid
(1/2) * (b+b) * h
Area (equil. triangle)
s^2rt(3)(1/4)
*check
Inscribed angles
Central angle = inscribed *2
Check yo self
0 and 1
pos/neg
non-int
x^2 < x
x = between 0 and 1
DS: why are you here?
violate CNS (clearly ns)
have x^2
look for quadratic
when x is divided by 3, the remainder is 2
x = 2, 2+3 (5), 8, 11, 14
Probability (E or F)
P(E) + P(F) - P(E and F)
Circular permutions
of ways to arrange n distinct objects along a circle is (n-1)!
Common triangles
3-4-5 ;
5-12-13;
9-12-15.
Distance
Rate X Time
rt(2) and rt(3)
1.4; 1.7
A(union)B
= A + B - A(int)B
Percent change
(new - orig) / orig * 100
Similar triangle
if sides are X 2 —> area is X 2^2 (4)
V(sphere)
(4/3)pir^3
avg speed
total dist / total time
simple interest earned
P X rate X years = total interest earned
Compound Interest
Final Balance = (principal)(1+r/C)^(nC)
n = time
C = number of times compounded
i.e.) $10,000 compounded quartertly at 8% = 10k2/100 + 10k… New amount2/100+new amount… etc
Total (Venn Diagram)
Total = X + Y - Both + Neither
Terminating decimal?
Reduce to simplest terms–> must be only 2s and 5s in denominator
LCM
Finds prime factors –> take highest power which each occur and multiply. –> 6 = 2 X 3. 9 = 3 X 3. LCM = 3X3X2=18
GCF
Of then have to be on both (2X3X3X5)
