Quantitative Flashcards

0
Q

What is the equation for the number of permutations of k items selected from n?

A

n!/(n-k)!

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1
Q

Are there any even primes?

A

Yes - 2

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2
Q

What is the equation for the number of permutations of of n items?

A

n!

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3
Q

What is the formula for k unordered selections from n items?

A

nCk=n!/k!(n-k)!

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4
Q

What is the equation for combined rates of work that invokes only 2 entities?

A

Total Time = AB/(A+B)

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5
Q

What is the equation for simple interest?

A

T=P(1+rt)

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6
Q

What is the equation for compound interest?

A

T=P(1+r)^t

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7
Q

What is the equation for how to calculate the number of degrees in a polygon?

A

180(n-2)

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8
Q

What is the only number that is neither positive or negative?

A

0

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9
Q

Odd+or-odd= ?

A

Even

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10
Q

Even+or-even=?

A

Even

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11
Q

Odd+or-even=!

A

Odd

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12
Q

Odd*odd=?

A

Odd

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13
Q

Even*even=?

A

Even

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14
Q

Odd*even=?

A

Even

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15
Q

Odd(any positive integer)=?

A

Odd

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16
Q

Even(any positive integer)=?

A

Even

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17
Q

What are the two best alternative strategies for problem solving according to Kaplan?

A

Picking numbers and back-solving

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18
Q

What’s a quick way to calculate 15%?

A

10%+5%

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19
Q

What different types of questions are good for picking numbers?

A

Questions with… Variables in the answer choices Percents in the answer choices Variables in the question stem Must be/could be/cannot be questions

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20
Q

What is the difference between percent increase and percent greater?

A

Percent increase follows the equation %inc=100*(new-old)/old Percent greater is (smaller #)*(%greater)=(larger #) EX: 4 is a 300% increase from 1, but 400% greater

21
Q

What are some keywords that indicate they want it to be solved via estimation?

A

About, approximately,

22
Q

When “picking numbers”, what are good numbers to choose?

A

Zero and one because of their “special” properties.

23
Q

What is the smallest “prime” of a X!+1?

24
What is an isosceles triangle?
Two side and two angles are the same
25
What is a scalene triangle?
No sides or angles are the same
26
What are the 4 different basic properties of a set and what are the equations?
Mean: sum of set/ # of #'s in set Mode: number that occurs the most often Median: the middle number or average or the two middle Range: largest minus the last.
27
What is variance and standard deviation?
The measure of how spread out the numbers are. Variance: Standard deviation: Square root of the variance
28
What are the equations for finding the sum of a evenly spaced set of ascending numbers?
Median\*(# of #'s in set) (Two middle #'s)\*(# of #'s in set)/2 Can be any two numbers that are equidistant from average
29
Sum of numbers equation
Sum of values=ave\*# of values
30
How many factors does a prime have?
2 factors, 1 and itself
31
What is: 55
3,215
32
What is: 45
1,024
33
What is 9!
362,880
34
What does 8! equal?
40,320
35
What does 7! equal?
5,040
36
What does 6! equal?
720
37
What does 5! equal?
120
38
yxyz=?
y(x+z)
39
2(½)≈?
1.41
40
3(½)≈?
1.73
41
6(½)≈?
2.45
42
7(½)≈?
2.65
43
5(½)≈?
2.24
44
What special triangle is the isosceles triangle split in half, and what are its angles, and ratio of the lengths of sides and hypotonuse?
45
What special triange is a square cut in half and what are its angles and ratios of the sides?
46
What is a shortcut to find the fractional number of 1/16?
100/100 \* 1/16 = 4\*25/100 \* 1/4\*4 = 25/100 \* 1/4 = 6.25/100 = .0625
47
What are the two ways to find the answer to weighted averages?
1. set the differences from the average equal to each other. 2. set up the normal algebraic equation.
48
Key word, PERCENT, means
1/00
49
If kx=y where k is a constant greater than 1, is x\>y?
Indeterminate, x can equal y like when k=1, be \> like when the constant is -2 and x is positive, or \< like when the constant is -3 and x is negative.
50
An inscribed angle cuts off an arc that is _______ its measure in degrees
Twice. Ex: an inscribed angle of 60 degrees cuts an arch of 120 degrees.
51
2(1/3)≈?
1.26