GRE - Quantitative reasoning I
I) General Maths strategies
1) Mental Maths / estimation
2) Dividing by 5
3) Doubling and Halfing
4) Squaring shortcuts
Squaring multiples of 10, easy
Squaring multiples of 5
ending with 7 ⚠
Number Sense
( recognising patterns) ⚠
Intro to Quantitative Comparisions (QC)
QC Estimations
QC matching operations
II) Arithmetics and fractions
Properties of real numbers (basics, basic calculations) ✅
Positive and negative numbers (basics) ✅
Mental maths addition and subtraction
Positive and negative numbers ( calculation on signs, absolute value)
V) Algebra, Equations, Inequalities
IV) Integer Properties
III) Percent and ratios
Divisibility
What is the remainder if divisible by 10? ❓
K is the least positive interger divisble from 1 to 8 ⚠
Simplifying with substitutions
Factoring using AC method
Playing with the expression to get to another one
VI) Word Problems
Word problems with fractions
Method: visualise the problem and try with different answers in the exercice
VII) Powers and roots
Square roots
Method: when comparing 2sqr 9 and other put everyting under square root
VIII) Geometry
IX) Coordinate geometry
X) Statistics
Mean, Median, Mode ✅
Median: if total number in list is odd, then mean is a whole nb / Adding and subtracting nbs to the median it goes up and down
Mean : can guess if it goes up or down depending on the difference between the new numbers in list
Percent increase and decrease
Method: if several percentage increase, take the new result and do the percent on that
Age questions
Ratios
"ratio of lemon juice to water is 2 to 7 -> 2 parts juice, 7 parts water, so 9 parts in total, so 2/9 ratio juice to lemonade"
"The average weight of 18 cars is 3500, what is the number of cars that weigh more than 3500? CAN'T KNOW"
Lines and angles
equal angles with a parallel line -> know which ones are equal to each other
Special right triangle
Exponents
Prime factorisation
Rationalising
Slope intercept form ⚠
Range and standard deviation