Improvement Flashcards
If someone says 12 min per km, what is the rate
1/12 km/min
If you have ‘men’ that work at x rate and ‘boys’ taht work at y rate; and you have 8 men and 6 boys, you could also convert all “men” to “boy” units so that stops mattering
:)
The price of the most expensive book is less than $17. if a min max problem, what would be the test case you’d use?
$16.99. Prices don’t have to be integers!!!
If I tell you the following, how do you express it mathematically? The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively. After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5. As a result of the gift, Kaye had how many more stamps than Alberto
(5x-10)/(3y+10)=7/5
What’s 8/99? 10/99? 15/99?
- 080808
- 101010
- 151515
- 0555
0. 000432432
5/90
432/999000
What are the rules of a terminating decimal?
Denominator of a REDUCED fraction can be re-written as 2^n * 5^m. For example, 250 can be: 2*125 (checks the box)
|s|< 5, how do you solve for this?
-5 < s < 5
When is |x-4| = 4-x
when x<0, then |x| = -x. For example, |-3|=3, you flip sign. So in this case, because sign is flip, must be that x-4<=0, or x<=4
what is sqrt (x^2) in modulus?
|x|
What is |x| if x<0?
-x
Sum of arithmetic series formula
Sum = n (a1 + an)/2
Sum of geometric series
Sum = a1 (1-r^n)/(1-r)
Remember that when you have a partial prime box, basically the answer is “is it divisible by 12” is
sometimes yes / sometimes no
If you’re in the number line and R is left to 0, and S right to 0, but the prblem tells you, using the absolute values, what is the average
Then r and s becomes positive so you need to add the (-) side to r: (-r+s)/2
DS: Is the product of all elements in set S negative? there are exactly 5 negative numbeers in the set
NS: what if there is a 0. (i know, bitches)
The sum of two primes will be even (unless…?)
Unless one of the primes is 2
even + even
odd + odd
even + odd
even
even
odd
even x even
odd x odd
even x odd
even
odd
even
Understand what the question is asking. If they say: does positive integer b have a factor n such that 1
No, it’s asking whether it’s not a prime basically
Vertex of a parabola
(1) if in form, a(x-h)^2+k, then it’s (h,k)
2) if in form, ax^2+bx+c, then (-b/2a, f(-b/2a)
If two lines in the coordinate have different sign reciprocal slopes, then they both form what angle?
ha de ser 90*
CAT 2 mistake: The trip from Townsend to Smallville took 50% longer than the trip from Smallville to Townsend. –> if going took 2 hours, how much did coming back take
- Note before you said 4!!! it was a reading problem
In order for n/18 to be an integer, what must be true?
N must include all the prime factosr of 18; i.e. 3,3, and 2
If you see something like (x) (x+2) (x+4) what testing topic comes to mind?
consecutive even or odd integers
If in data sufficiency you see something like (2) 3x is divisible by 2; what might the question be testing
odds and evens
the distance between two points x and y on a number line is mathematically equivalent to
|x-y|
Is a multiple of N plus Multiple of N is divisible by N?
Is a multiple of N plus a multiple of non-N divisible by N?
yes; no
How do you use prime factors to determine if N is divisible by A
N must have all the prime factors of A