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This guide helps students conquer the GRE quantitative section, covering 4 question types, math basics, order of operations, key math facts, and test-taking strategies. Prepare effectively for the GRE math section and boost your score.
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Student Survival Skills for the GRE • Students often fear the quantitative portion of the GRE more than any other section (i.e., verbal or writing). • With adequate preparation, students can do relatively well on the quantitative portion.
There are 4 types of questions: • Charts (easiest) • Multiple choice, problem solving (hardest) • Comparisons
Example Comparison • Column A Column B 14 more than a is –9 a + 9 -14 • A) Column A is greater than Column B • B) Column B is greater than Column A • C) They are the same • D) It is impossible to determine
Constraints You will not be able to use a calculator. If you are doing a LOT of calculation, there is probably an easier solution.
What is Covered? • The GRE Tests math knowledge from 7th, 8th, 9th & 10th grades. • Does not cover calculus, pre-calculus, trigonometry, no advanced algebra, no advanced geometry.
Know Order of Operations • Please • Excuse • My • Dear • Aunt • Sarah
Know Order of Operations • Parentheses • Exponent • Multiplication • Division • Addition • Subtraction
Review Math Facts • 1 is not a prime number • All GRE prep books contain math review. The GRE web page also provides a 67 page math review. • http://www.ets.org/gre/revised_general/prepare/quantitative_reasoning/
Review Math Facts • zero is even • zero is an integer • the sum of 0 and any other number is the other number • the product of 0 and any other number is 0 • dividing by 0 is undefined
Review Math Facts • any number to the 0th power is equal to 1 (10000 = 1) • fractions are neither even nor odd • negative numbers can be even and odd too (-3, -66) • 2 is the only even number that is a prime number; all other prime numbers are odd.
More Math Review • Fractions • Decimals • Operations with negative numbers • Exponents
Quantitative Section This section is actually a reading test – read problems carefully! Do not make assumptions about drawings; if it does not say “drawn to scale,” then assume that the figure is deceptively drawn. Redrawn the diagram on your scratch paper to exaggerate key features.
Example Which angle is larger? a b
Example Which angle is larger? a b Drawn to scale
Comparisons • Column A Column B 14 more than a is –9 a + 9 -14 • A) Column A is greater than Column B • B) Column B is greater than Column A • C) They are the same • D) It is impossible to determine
Comparisons Remember this is a reading test. You should interpret the options in the following way. • A) Column A is ALWAYS greater than Column B • B) Column B is ALWAYS greater than Column A • C) They are ALWAYS the same • D) It is impossible to determine
Comparisons • Substitute values for variables • Try negative values and decimals
Comparisons Column A Column B 1/16 +1/7 + 1 /4 1 /4 + 1/16 + 1/6 • A) Column A is greater than Column B • B) Column B is greater than Column A • C) They are the same • D) It is impossible to determine Place an equal sign in the middle and reduce the equation, until one side is larger.
Comparisons Column A Column B y > 2 y - 6 -3 • A) Column A is greater than Column B • B) Column B is greater than Column A • C) They are the same • D) It is impossible to determine
Charts Make notes about the chart, before reading the question. • information in titles, legend • asterisks, footnotes, parentheses • small print (which is used to hide crucial information) • find the unit of measurement (thousands, millions, tons, dollars)
Charts Approximate, Estimate, Ballpark • whenever you start to think the problem will require a lot of calculation – estimate • answer choices are typically far enough apart to allow you to find the answer closest to your estimate • round up or down any values (9.6% -> 10%, 9.3% -> 9%)
Geometry • You must know fundamental geometry principles (e.g., how to find the area of an equilateral triangle). • Create a long list of the principles that you do not know and memorize them!
You can do well if you… • Review basic math facts • Practice basic skills • Read questions carefully