Quant Flashcards
Sum of 3 numbers = 3 times one of numbers
Median = average of 3 numbers
The number that is x3 is the average/median.
Prime to an exponent
Factor the product into a prime box
Find average equation
Sum of terms/number of terms
Given right triangle hypotenuse and area
Sufficient to find perimeter. Substitute pythag theorem with area.
Vertex located on midpoint of larger triangle
Smaller triangle area is 1/4 that of the larger. 1/2 base size and 1/2 height size
30-60-90 Triangle angle to side relationships
Opposite of:
30 - x
60 - x(sqrt(3))
90 - 2x
Probability of x AND y
Multiply probability
Probability of x OR y
Add probability
First (11) prime numbers
2,3,5,7,11,13,17,19,23,29,31
Terms need to be in alphabetical order
Can be AB, AC, AD, not just AB, BC, CD, etc.
Rate - time - distance (approach)
Set up a RxT = D chart
Sum of consecutive integers formula
S = (1st + last)/2 * (Last - first + 1)
Arranging digits in a required pattern (approach)
Draw examples of each pattern/possible choice
ie: DS209
Finding min answer
use extremes for smart numbers or test cases
(x+y)^2
x^2 + 2xy + y^2
(x-y)^2
x^2 - 2xy + y^2
(x-y)(x+y)
x^2 - y^2
A system of inequalities (approach)
Stack them and add
(2) inequality signs in a statement
Split them and solve separately
First step in inequ equation
Try algebra
Then test numbers
If x is doubled, then y is tripled (or similar statement) (Approach)
Test cases
One variable in the question stem (ie: s^3 + 12 =?)
Isolate the q stem to one variable (ie: what is s?)
What is volume? (Approach)
Draw the picture and get the equations on paper
A trianglein a semi circle (hyp is the diameter)
Triangle is a right triangle
Looking for whether a combination of variables are odd/even
List out each variable and determine if it is odd even or either
Small % and smart numbers (ie: 4.5%)
use 1000 to account for 0.5% in avoiding decimals in answers
% of two different variables in comparison to a % of the sum
Weighted averages
Partial list in question
Draw list on page and fill out as you go
Working backwards to find the min value
Start with the smallest answer choice
Main number properties to try in testing cases
Pos/Neg; Odd/Even; Fraction/Int; Zer0
Comparing fractions (esp in intervals)
Put into common denominator on paper
% Increase/decrease (algebra)
(1+ x/100) or (1- x/100)
Finding greatest value in overlapping set
Put > or < in matrix
Relationship between 3 sides of a triangle
Third side must lie between the difference and the sum of the other 2
3 most common triangles
30-60-90
45-45-90
3-4-5
Diagonal of a rectangle (approach)
Use pythagorean theorem with sides
Diagonal of a cube
x√3