gre review - mrs. shouse's math page · 2019-09-28 · gre review . what is it? two sections...
TRANSCRIPT
GRE Review
WHat is it?➔ Two sections that are 35 minutes in length➔ 20 questions in each section➔ There are 4 areas of math represented
◆ Arithmetic, Algebra, Geometry, Data Analysis➔ 5 types of questions
◆ Quantitative Comparison (A is greater, B is greater, Equal, Can’t determine the relationship)
◆ Multiple Choice - 1 answer◆ Multiple Choice - More than 1 answer◆ Numeric Entry◆ Data Interpretation Sets - Questions based on the same data presented
in tables, graphs or other displays of data
The breakdown
The Calculator
Tips and Tricks➔ MC - Instead of always “plugging in”, it may be faster to
cover the answer choices and solve the question on your own and then compare.
➔ Can you estimate or approximate?➔ Numeric Entry - Watch your rounding.➔ Numeric entry - Pay attention to special symbols in front
of boxes. ➔ All questions are weighted the same.➔ Questions may be written in a way to confuse you. Answer
choices are not random.➔ Be on guard if the problem seems too easy.
Tips and Tricks➔ Shapes are not drawn to scale.➔ You do not have to reduce fractions, so don’t take the
time.➔ Numeric entry can be written as a fraction or decimal.➔ Important information may be “hidden” in the middle of a
sentence.➔ Look for relationships. For example:
The area of a triangle with the same perpendicular height and base as the length and width of a rectangle is exactly half of the area of that rectangle.
Tips and Tricks➔ Make sure you know order of operations:
Tips and Tricks➔ A little more than a third of the questions have been
Quantitative Comparison (almost ⅖ or 40%).➔ Don’t give yourself more than 2 minutes for each
question.➔ Quantitative Comparison: It only takes 1 example for
something to not be true.
Ques 1
Ques 2
Ques 3
Ques 4
Ques 5
Ques 6 - The exception - Plug it in
Ques 7
Ques 8
Ques 9
Ques 10
Ques 11
5 Strategies for solving Quantitative Comp Problems1. Add: for simplifying problems with 1 or more inequalities2. Cancel: for removing duplicate terms3. Sign: for plugging in positive and negative signs (+/-)
in place of the variable(s) to help solve a problem4. Equate: for simplifying fractions that do not look alike
try making them look alike (either in the numerator/top or denominator/bottom)
5. Multiplying: for simplifying fractions through multiplication (to get rid of a denominator)
Example 1
Strategies used: Add and Cancel
Example 1Stem: You are comparing 2 inequalitiesQuantities: You only need to compare r and 1
Example 2
Strategies used: Cancel and Sign
Example 2Stem: All of the variables are less than zero which means they are all negative
Example 2They share the variable z
Quantities: They share the same variable
Example 2If this problem were x>y>z>0, then we would have used a positive sign.
Example 2a What do you notice?
Stem: t>1
Quantities: The numerators are the same, so all we are really doing is looking at the denominators (which are similar).
If t > 1, then a denominator of will be smaller than a denominator of
Which fraction is larger?
Example 3
Strategy used: Equate
Example 3 Stem: x is greater than 1Quantities: The numerators are pretty close, so I am going to make have the same sign. You must multiply the top AND bottom by the same number.
Example 3 Cancel: Ignore the x on top, and just compare the bottom.
Example 4
Strategies used: Equate and Sign OR Multiplying and Sign
Example 4
X < X + 1
You are nw comparing the NUMERATORS, so x + 1 will always be larger than x (given that x > 0)
Stem: Given x > 0 (so it is positive)Quantities: Fractions that I can multiply to make the same by eliminating the denominator.
Example 4a
Fractions: Use the multiply strategy to get rid of the denominator.
Tips for what I saw in problems➔ 203² - 201² Difference of squares (203 + 201)(203-201)
so that makes it (404)(2) = 808 This was much simpler.➔ Quantity A: 641713 x 451222 Quantity B: 897189 x 318977
Divide the 2nd values by 1000000 which changes them to decimals and now you can use the calculator. As long as you divide each one equally, it will work.
➔
Tips for what I saw in problems➔
Tips for what I saw in problems