quant Flashcards

(50 cards)

1
Q

length of an arc

A

2π(r)*(angle measure/360)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

area of a sector

A

π(r²)*(angle measure/360)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

formula for: volume of a 3D object

A

lengthwidthheight

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

perfect squares can only end in what numbers?

A

0, 1, 4, 5, 6, 9

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

0!

A

1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

(x+y)²

A

x² + y² + 2xy

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

(x-y)²

A

x² + y² - 2xy

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

x² + y² + 2xy

A

(x+y)²

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

(x-y)²

A

x² + y² - 2xy

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

(x+y)(x-y)

A

x² - y²

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

formula for: probability of A or B

A

P(A or B) = P(A) + P(B) - P(Both)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

(a/b)² =

A

a² / b²

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

if 0 < x < 1,
then it must be true that..

A

x²< x < √2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

How many ways can you add/subtract numbers to get an odd number? What types of numbers are they?

A

only one way to get an odd number through addition/subtraction

even + odd = odd

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

How many ways can you multiply/divide numbers to get an odd number? What types of numbers are they?

A

1 for multiplication:
odd * odd = odd

2 for division:
odd / odd = odd
even / even = even or odd

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

formula for division/remainders

A

`x/y = quotient + remainder/y

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

number divisible by 8

A

if the last 3 digits can be cut in half 3 times

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

special right triangles & their sides

A

45 - 45 - 90
x - x - x√2

30 - 60 - 90
x - x√3 - 2x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

triangle triples

A

3 - 4 - 5
5 - 12 - 13
8 - 15 - 17

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

divisible by 4

A

if the last two digits can be cut in half twice

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

divisible by 9

A

If the sum of the digits is divisible by 9

22
Q

(xᵃ)(xᵇ)

23
Q

(xᵃ)ᵇ

24
Q

(xᵃ)(yᵃ)

25
profit = ?
revenue - costs
26
simple interest formula
principal * rate * time
27
compound interest formula
A = P(1 + rate/n)ⁿᵗ (n = # of times per year interest is compounded)
28
when is mean = median
in any evenly spaced set, the mean is = to the median
29
area of an equilateral triangle
(side²)√3 ________ 4
30
exterior angles of any polygon = ?
always add to 360ᵒ
31
area of a trapezoid
(base 1 + base 2)* height ___________________ 2
32
formulas for: Area & circumference of a circle
Area = πr² circumference = (2πr)
33
formula for: interior angles of a n sided polygon
(n - 2)*180
34
formula for: distance between two points on a x-y plane
√(x₂ - x₁)² + (y₂ - y₁)²
35
formula for: midpoint of two coordinates on an x-y plane
( (x₁ + x₂)/2 , (y₁ + y₂)/2 )
36
formula to find the nᵗʰ term in a sequence if all terms are consecutive or evenly spaced
nᵗʰ term = a₁ + (n-1)*(common difference)
37
formula for: sum of terms in an evenly spaced sequence
sum of terms in a sequence = (n/2)(first term + last term)
38
formula for: sum of terms in an evenly spaced sequence
sum of terms in a sequence = (n/2)(first term + last term)
39
is zero an integer
yes
40
what does mutually exclusive mean?
both A and B cannot happen together
41
what does independent events mean?
both A and B have no effect on each other’s outcomes
42
P(A & B) = ?
P(A) * P(B)
43
Conditional Probability formula when A& B aren’t independent
P(A & B) = P(A) * P(B|A)
44
triangle inequality rule
sun of two sides has to be greater than the third
45
prime numbers under 20
2, 3, 5, 7, 11, 13, 17, 19
46
is 1 a prime number
no!!
47
true or false: all prime numbers are odd
false!! 2 is the only even prime number
48
LCM formula
LCM = P(Q)/GCF
49
how to find GCF
1) List all prime factorizations 2) make a list of prime factors with exponents 3) make list of only exponents 4) +1 to each number in the set 5) multiply all numbers in the set
50
is 0 even or odd?
even